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Introduction to Materials Management
Meaning
It deals with purchasing and storage of materials so as to provide
optimum customer service consistent with efficient operation at minimum
inventory investment. Inventory in an organization is analogous to water level
in a bath tub. The level increases if rate of outflow is less than inflow. A perfect
synchronization of rate of outflow with rate of inflow through a suitable control
mechanism will ensure a minimum water level just enough to meet
requirements.
2.
Relationship with Productivity
Productivity in manufacturing sector in India has declined at a rapid rate
during 1960 to 1980. The rate of declined in engineering industries has been
much higher than other industry, more so in the case of non-electrical machineryand transport equipment where the rate of decline is as high as1.6% per annum. This is
despite the fact that labour productivity in these industries has been growing at
an impressive rate of 3-4% per annum. Among other measures in arresting
this decline, better inventory management and reduction in cash holdings are
verysignificant.
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Productivity = ____ Values of Goods & Services produced___
Inputs(Labour + materials + Capital + Energy+…)
As nearly 70% of the total cost of production in manufacturing organizations is
constituted by Materials Cost, a small % reduction in this cost is going to
increase productivity substantially than effecting same % reduction in any other
input factors like labour, energy etc. Moreover, better availability of materials
will increase production and sales values.
Inventory Syndrome
A supplier producing 4 units/week & meeting requirement of 4 customers with a
consumption of 1 unit/week, delivered 4 units to each after 4 weeks. Each unit
will have average inventory of 2 units 4+0
2
Customer ‘ A ’ puts up a false demand of 1 additional unit as safety stock so as
to be more safe than other units. Since the total demand in 4 weeks is now 17
against production capacity of 16, the supplier 'is forced to increase lead time
from 4 weeks to 5 weeks. Immediately orders from other 3 customers will also
be increased from 4 to 5 units making a total demand to 20 units. Each customer
will then have an average inventory of 3 units
1+ 4 + 0
2 With the real consumption of 1 unit/week only.
Customer ' A ' then to be ahead of others will place an order of 6 units
making a total demand of 21 units. The supplier will therefore increase the lead
time to 6 weeks forcing other three customers also to place orders for 6 units.
Total demand will be 24 units. Each customer will have to keep an
average inventory of 4 units, 2+ 4+0 with the real consumption of
2
1 unit/week as earlier.
And so on--this process continues. The inventories go on increasing
without any real use. If the system of constant demand of 4 units/week would
have continued, the balance of demand and supply would not have disturbed
resulting into smooth functioning with a level of 2 units of average inventory.
Fictitious demand, long lead times and piled-up inventories are the result of such
syndrome.
Scope
A survey of the 161 Public Sector manufacturing units carried out in India
during 1985 revealed the following:
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Introduction to Materials Management 3
Total Investment = 43000 Crores
Annual Output = 55000 Crores
Average Inventory = 12800 Crores
(Stores only)
This means the inventory maintained in the form of stores inventory isapproximately 3 months stock. In addition to the inventory lying in stores, a
large work-in-process (WIP) inventory is also observed in an industry. It is
quite normal practice to observe heaps of stock at each work station. Further,
there are temporary stores and inspection points within the shops.
Inventories in the form of finished goods (FG) are also not a small figure.
Due to seasonal demand, incorrect forecast, improper co-ordination between
Marketing and Production Planning, uncertain power supply, production
leveling etc., some FG inventory may be necessary. FG inventory in various
organizations however vary from few days to over 6 months, depending upon
the nature of product.
Adding up inventory of Raw Materials, Maintenance Spares, Operating
Supplies, WIP & FG, it is estimated that a medium size industry keeps 4-6
months stocks.
Most of the companies in Japan work on zero inventory or 2-3 days
stocks. Agreed that the environment and work culture in India is such that the
Japanese Standards of inventory cannot be met, however the level can certainly be brought down to less than a 1 month with little of planning and effort. This
means that thousands of corers of rupees blocked in the form of inventories can
be released for country's developmental projects.
Importance of MM
The pie diagram (Fig.1.2) shows that 64% of sale rupee are spent on cost
of materials, 16% on labour cost and 20% on overheads. This is as per the result
of the survey of 29 major industries in India. In addition to the cost of materials,
the inventory carrying cost should also be taken into account when considering
material cost. This comprises various elements e.g. interest charges, storage and
handling costs, insurance, obsolescence etc. All this amounts to at least 20% of
average inventory that means total material cost will be about 70%
64 + 0.20 x 64 – 0 . As a big chunk of expenditure i.e. 70% is
2
towards materials cost, large savings will result if MM tools and techniques are
used to cut down this cost-than whatever attempts are made to save on other
items of expenditure like wages and salaries and overheads.
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It is true that most of the MM techniques are very simple to apply ascompared to techniques of reducing wages and overheads.
Fig. 1.2
Causes of Higher Inventory at Various Stages in an Organization
Storage Place Causes
(i) Central Stores *Bulk Purchases to avail discounts.
* Seasonal availability of materials.
* Purchases during periods of low
market prices.
* Full Wagon load to economies onfreight.
*Full Lorry load to economies onfreight.
* In anticipation of price rise at a ratehigher than bank interest.
*Scarce commodity (Not alwaysavailable).
*
Long lead times.
*Wide variation in lead time.
*Quota item (Quantity and time ofdelivery not within control).
*High stock-out cost.
* Reduced No. of orders or largeorder quantities
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Introduction to Materials Management5
*Availability of Safe Storagefacilities.
*Long term contract with ancillaryunits/suppliers w.r.t. quantity andtime of delivery.*Helping suppliers by making
purchases in quantities more thanactual requirement.
(ii) Sub-Stores * Avoid frequent issues toeliminate 'Q' formation at centralstores.
*Avoid frequent handling in smallunit loads between central store &
sub-stores.*Spares, consumables and toolsExclusively purchased fordepartmental use.*Extra guard against a particularitem feared to be out of stock at thecentral store.*Safety stock to meet contengencyin case of rejections, higher rate of
production, overtime work.*Drawal of materials for IInd &I1Ird shift if the central store remainsopen during 1st shift only.
(iii) Semi-FinishedStores
* Waiting for the specified unit loadquantity to move to the nextsection/department.* Waiting for other components, sub-assemblies, bought-out item.
* Waiting for clearance byInspection Staff.
* Re-work required before transit tonext section.
(iv) Work Stations *Waiting after the operation for
transit to next station.* Operator absent/slow/late. *Machine breakdown. * Machine setting.* Solving Quality problems on themachine or re-work required.
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6 Materials management
* Bottle-neck operation
(v) F.G. Stores
* Waiting for customer orders.
* Waiting for customer clearance vis-a-vis payments
* Production leveling for bettercapacity utilization to meet seasonaldemand.* Cancellation of customer orders.
* Stop dispatch due to anticipated price rise.
. * Waiting forwagon/lorry/container load.
* Waiting for customs clearancewherever required.
* Waiting for quality
mark/Inspection.
* Seasonal demand.
* Lack of co-ordination betweenMarketing & PPC deptts.
* Errors in sales forecasting.
* Waiting for good remuneration (vi) Scrap, Obsolete
Items & Disputed
Stores
* Normal delay in correspondence insettling disputes.
* Long procedure in obtainingapproval for disposals.
* Waiting for accumulation ofsufficient quantity before disposals.
Functions of Materials Management
Major tasks involved in Materials Management are:
1. PLANNING Material Requirements as permaster production schedules;identification, classification andcodification of items that must bemanufactured, sub-contracted or
bought-out
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Introduction to Materials Management
7
2. PURCHASING:- Selection of the sources of supp-ly, placement of orders, follow up oforders, inspection before dispatch,transportation, payment of bills,vendor rating
3. INVENTORY CONTROL:- Determination of EOQ, SafetyStock, Lead Time; Implementationof Selective Controls &Replenishment Systems
4. STORE-KEEPING:- Receipt and Issue, Layout &Handling, Maintenance, Upkeepand Safety of Items, Scrap/Surplusdisposal.
5. ACCOUNTING:- Valuation of stores, PhysicalVerification, Cost & BudgetaryControl.
6. MATERIAL ECONOMICS :-Value Analysis, Variety Reduction,Standardization.
Benefits of MM
The health of an organization is measured by calculating its Rate ofReturn (ROR) on investment:
Application of MM techniques result in reducing inventory thereby
. reducing capital and hence increasing Capital Turnover Ratio. The techniquesalso help in reducing cost of materials through effective purchasing,· valueanalysis, standardization, efficient material handling and reducingloss/obsolescence, thereby increasing profitability. Multiplication of both thesefactors creates a double effect on ROR and therefore it is true to say that thetechnique effects favorably from the top (increasing profit) and from the
bottom (decreasing capital employed). It also lowers the Breakeven (BE) pointas shown in figure 1.3·
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3.8
Symptoms of Poor Inventory Management
1. Inability to meet delivery promises.
Materials Management
2. Continuously growing inventory while turnover is almost constant.
4. High rate of customer turnover or order cancellations due to non-
attendance to their complaints.
5. Uneven production with frequent layoffs and re-hiring’s.
2. Frequent need for uneconomical production runs to meet sales
requirements.
6. Excessive machine downtime because of spares shortages.
7. Periodic lack of adequate storage space.
8. Consistently large inventory write-downs because of price declines,
distress sales, disposal of non -moving stocks and so on.
8. Widely varying rates of inventory loss or turnover among branch
warehouses or widely varying rates of turnover ratios among major
inventory items indicating surplus stocks.
9. Consistently large write-downs at the time of physical stock taking.
MM-Not an Easy Task
High stocks cover up most of the management lapses. This is like driving
a ship in a deep sea. The driver is not at all worried of any chance
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Introduction to Materials Management 9
of ship hitting rocks in the sea and can even sleep while the ship sails smoothly.
Managing with low inventory is like driving ship in shallow waters. The driver
has to be very active all the time so as to steer ship to safe waters and avoid
smash with rocks. As the water level goes down in the sea, more and more
rocks appear calling for more and more vigilance of the driver. See Figure 1.4
below:
MM being an important function should be under direct control of the
chief executive. A typical organization set up of a medium size Engineering
industry indicating position of Materials Manager in shown below
It may be noted that various functions of materials management are being
looked after by separate officers. Since most of the parts are supplied by
ancillary units, a separate officer has been posted for this function and a separate
officer for clearing & forwarding. There is no person for material planning since
this functions/has been distributed between Inventory Controland purchase officers.
Organization structure under Materials Manager normally varies from
organization to organization depending upon the nature & volume of business.
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Linkage of Production System with Inventory
Materials Planning is closely related with the type of production system in a manufacturing
organisation. The conventional systems and their linkage with inventory are briefly discussed in this
chapter.
Line Production System
Line production system is the specialized manufacture of identical articles on which the equipment is
fully engaged. Line production system normally associated with large quantities and with a high rate of
demand. While in the job and lot type of manufacturing the production capacity normally exceeds the rate
of demand, line production system is justified only when it" capacity can be sustained by the market. Here,
full advantage should be taken of repetitive operations in the design of production auxiliary aids, such as
special tools, fixtures, positioners, feeders and materials handling system, inspection devices, and weighing
and packing equipment.
Lot Production System
Lot production System is the manufacture of a number of identical articles, either to meet a specific
order or to satisfy continuous demand. When production of the lot is terminated, the plant and equipment
are available for the production of similar or other products. As in job shop production, policies regarding
tooling, fixtures, and other aids are dependent on the quantities involved. If the order is to be executed only
once, there will be less justification for providing elaborate production aids than when the order is to be
repeated.
Job Shop Production System
This is the manufacture of products to meet specific customer requirements of special orders. Thequantity involved is small, usually "one off" or "several off," and is normally concerned with special
project, models, prototypes, special machinery or equipment to perform specialized and specific tasks,
components or assemblies to provide replacement for parts in existing machinery, etc.
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Linkage of Production System with Inventory 11
Production & Inventory Control in line Production System
Some Key Points
(1) To keep production levels constant by adjusting product inventories.
(2) To balance capacity among all processes.
(3) To have buffering stock to avoid interference between processes.
Kinds of line production system
(1) Single-model assembly line:-An assembly line which is prepared in advance to produce an identical single item.
(2) Mixed-model assembly line :-
An assembly line which is prepared in advance to produce continuously identical multi itemswhich can be assembled through almost same operations.
Procedure for designing a single model assembly line
(1) Determination of a cycle time.
(2) Computation of a minimum number of processes.
(3) Line balancing.
(4) Determination of the length of the operations range of each process.
(1) Cycle time:-
A cycle time is an elapsed time between completed units coming off the end of an assembly line.
C: cycle time
A: available time per dayQ: planned production quantity of the product
(2) Minimum number of processes :-
Nmin: minimum number of processes needed for the desired line output
T : total operations time to assemble the product
[] : minimum integer not less than the accurate figure in it
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Linkage of production System with Inventory 13
(2) Computation of a minimum number of processes
(3) Preparation of a diagram of integrated precedence relationships among work elements
(4) Line balancing
(5) Determination of the sequence schedule for introducing various products to the line
It is important to note that a product might have a longer operation time than the predetermined cycle
time. This is due to the fact that the line· balancing on the mixed-model line is made under the
condition that the operation time of each process, which was weighted by each quantity of mixed
models, should not exceed the cycle time.
This condition (constraint) will be described as the following formula:
Qi: planned production quantity of the product Ai (i=1,2 .)
Tij: operation time of product Ai on the jth process
C: cycle time
As a result, if products with relatively longer operation times are successively introduced into the
line, the products will cause a delay in completing the product and may cause line stoppage.
Therefore, the assembly line model-mix sequence must be determined to minimize the risk of
stopping the conveyor.
(6) Determination of the length of the operations range of each process. . 'The length of the operations
range of each process must be determined with some allowance for avoiding the work conjestion above
mentioned.
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14 Materials Management
The systems of single model assembly and mixed model assembly are shown in Figure 2.1 below:
1(1) Singe-model assembly ! inc
(2) Mixed-model assembly line
Fig. 2.1
Production & Inventory Control in Lot Production System
Some key points
(1) To determine proper lot sizes.
(2, To determine proper quantities of work- in-process. (3) To make setup times as short as possible.
The EOQ formulaAn economic ordering quantity formula is used which calculates the EOQ in one step. One form of
this formula is:
(8)
A : the annual usage, in Rs.
S : the setup or ordering cost, in Rs.
I : the inventory carrying cost, as a decimal fraction per Rs. of average inventory
When lot sizes of each item in lot production system are determined according to the EOQ formula, itfrequently happens that under the given capacity the resultant production schedules is infeasible for reasonsof interference among the items.
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Linkage of Production System with Inventory 15
An example of production planning in a single process
A basic cyclic schedule which both satisfies requirements during the planning period and minimizes
quantities of work-in-process is presented in this section.
TET (Total Elapsed Time) can be expressed as follows:
Ri: requirements of item i during the planning period
tsi: setup time of item i
Tmi: machine processing time of item i
N: the number of setups during the planning period
To satisfy requirements during the planning period, the following inequality must hold true:
Thus N (the upper limit of the number of setups) that satisfies requirements of all items during the
planned period) can be derived as follows:
[]: maximum integer not greater than the accurate figure in it.
Production & Inventory Control in Job Shop Production System
Key points
(1) To grasp accurate work loads to each process for a planning period.
(2) To minimize due date tardiness.
(3) To shorten shop time.
Preparation of master schedule
(1) Estimate shop time of each operation in each job
(2) Arrange the operations in accordance with the routing.
(3) Adjust starting time of each operation for the schedule of each operation not to mutually overlap in
time in each process, pursuing minimization of the total elapsed time.
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Materials Control Through JIT System
Inventory requirements in an organisation are closely related to the production or consumption
systems. JIT (Just-in-Time) is a production technique which helps in reducing inventory. The technique
developed by Toyota Company in Japan has now spread all over the world. JIT system is an integrated
manufacturing and supply system aimed at producing the highest quality and, at the same time, the lowest
cost products through the elimination of waste.
JIT integrates and controls the entire process. It specifies what should be stored, moved, operated on
or inspected and precisely when it should be done. Just-in-Time production continuously strives to
improve production processes and methods. It attempts to reduce, and ultimately to eliminate inventories
because high inventories tend to cover up production problems. Various components of a JIT production
system are given in figure 3.1.
Components of JIT Production System
FILL-UP: A PULL Type Ordering System
Contrary to the conventional system where a central controller co-ordinates material flow from the
first to the last stage of manufacturing, a pull system triggers action from the market demand. As soon as
an order is received from the market, the dispatch section places an. order on final assembly section who
in turn to sub-assembly section and so on to the stage of withdrawal of materials from stores for
manufacturing. A chain reaction starts where-in each user is responsible to withdraw materials from the
preceding operation eliminating the need for the central controller. A concept chart showing the
conventional push type ordering system and the new pull type ordering system is given in Fig. 3.2. The
production stages, storage stages, information and material flow channels have been shown explaining
both the systems. The system is flexible and is adaptable to quick changes in demand. Only the required
quantity of materials for use during a ~ay or a part thereof is drawn from the previous operation, thereby
leaving almost nil inventory at work stations at the end of the day. The chances of accumulation of
process inventory in a Push System are more since total output of a work station is pushed to next work
station whether required or not.
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Materials Control Through JIT System 19
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Small Lot ProductionAs the lot size increases, the work in process increases. To reduce inventories, the lot size should be
reduced. In an ideal situation there should be one piece production and conveyance. The objective is to
reduce production lead time through line balancing and redu6itg setting up time to almost zero. Use of
flexible manufacturing system; standby tools, jigs and fixtures; automatic holding and conveying
equipment; fastest possible speeds, feeds, depth of cut, CIM , automatic dimensional control etc., are some
of the aspects which can be considered and adopted. A frame-work of reducing production lead time is
shown in figure 3.3.
Production Smoothing
A system of forecasting demand for next 3 months, preparation of master production schedule andmonthly production planning with a provision to adopt monthly demand changes. Simultaneously, a
system of 10 day advance booking of firm orders from dealers, co-ordinating with sub-contractors,
balancing shop production, preparation of daily despatch schedules and provision to incorporate last
minute changes in daily demand should be well prepared. A frame work of production smoothing is shown
in figure 3.4.
KANBAN System
A Kanban is a hand sized signboard contained in polypack that is the key control tool for JIT
production. Kanbans are of two types i.e. "Production Instruction Kanban" and "Pick-Up or Withdrawal
Kanban". Production Instruction Kanban indicates how many and what kind of parts have been passed
from one place on the production line to the next place. It is a green signal to begin processing exactly the
same type and number of items that were passed along. Pick-up Kanban is of two types. One called
'Interprocess Kanban' used within the plant for picking up needed parts from earlier process jobsite to the
next process jobsite. Other type is 'supplier Kanban' used for picking up needed items from outside
suppliers and is used the same way as inter-process pick up Kanbans. Steps involved in using the two
Kanbans and their flows as well as the flow of physical units of product are explained in figure 3.5. It may
be seen that the number of withdrawal· Kanbans lying in post at "1" indicate the units consumed in
subsequent process assembly line and therefore creation of the demand for equal number of units to be
provided by preceding process machinery line. These Kanbans authorise picking up units from the
machinery line store and are returned to assembly line along with physical units (see '3'). Depending upon
the shortfall in the machinery line store, production ordering Kanbans
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Materials Control Through JIT System 21
in desired quantity are placed in the post (see '2'), carried to production ordering Kanban post (see '5').Production ordering Kanban authorise production in the machinery line and are sent to store again
alongwith machined parts. Kanbans are the pre-printed forms containing product specifications, quantities
and frequency of issue during a day. Kanbans are normally replaced every month depending upon next
month production schedule. There is no need w give written instructions every time and hence it
eliminates lot of paper work. At the same time it coordinates activities of whole plant as well as with the
suppliers and establish a close circuit.
Visual Control
This is a method by which managers and supervisors can tell at a glance if production activities are
proceeding normally or not. Light signals (Red & Yellow) are placed on various machines and storage
points. If any problem arises, the operator switches on light signal.
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Materials Control Through JIT System 23
'Yellow' means there is a problem which operator himself is trying to solve. 'Red' means he needs help ofthe supervisor. Seeing red light, supervisor rush to the workplace. Similarly, a system of replenishment ofstocks is used. A material calling ANDON for the later replenishment system is illustrated in Figure 3.6.When an empty box is found in the production shop, the worker pushes a switch (see' 1') thereby puttingon main light in the- central store and a glow lamp (see '2') in the control pannel indicating the kind ofmaterial required-Seeking the lamps, material carrier transports filled boxes to the line (see '5') and submitsSupplier Kanban (detached from material box) to the Post Office of material Kanbans (see '6'). During theevening, all supplier Kanbans are classified supplier wise and handed over to respective truck drivers (see'7;) along with empty boxes. The drivers draw the materials from supplier as per the number of Kanbansand deliver to the factory during night (see
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'8'). The materials are therefore replenished to the central stores every day morning before production
starts. From the system it may be observed that inventory is kept only for 1-2 days stocks, with almost
no paper work, no noice and chaos and no congestion.
The results of the introduction of JIT systems in Japan as per the survey conducted in 1986 aresummarised below:
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Material Requirement Planning (MRP)
Definition
It is a management planning and control technique. Its initial processing function is to work
backward from planned quantities and completion dates for end items on a master production schedule to
determine what and when individual parts should be ordered.
While any company that wants to do a better job of controlling material priorities and capacity can
employ MRP, companies that manufacture complex assemblies are ideal for MRP. Thus while MRP can be
effective in pharmaceutical, food, textile and chemical companies which are not 'assembly' operations, the
technique can be extremely powerful in automotive, electronic and other assembly oriented companies.
Item Forecasts
Item forecasts are needed for determining order points, material plans, order quantities and schedules.
They are best made using simple statistical techniques based on their own demand history. The technique
called "exponential smoothing" an application of the "weighted average" concept provides a routine
method for updating forecasts regularly as shown in table below:
First Week
Weight Weight
Old forecast = 100 x 0.5 = 50 x 0.9 = 90Sales = 70 x 0.5 = 35 x 0.1 = 7
New forecast = 85 97
Second Week
Old forecast 97 x 0.9 = 87
Sales 105 x 0.1 = 11
New forecast 98
General formula
New forecast = a x Sales + (1-a) Old forecast. a is called weighting
factor and can be estimated by the management for each
type of product separately. a = 0.01 in the above ex
ample.
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Principles of MRP
Material requirements planning evolved from an approach to inventory management in which the
following two principles are combined:
(1) Calculation (versus forecast) of component item demand, i.e., dependent demand.
(2) Time phasing, i.e., segmenting inventory status data by times
Because of its focus on timing, an MRP system can generate outputs that serve as valid inputs to
other systems in the area of manufacturing logistics, such as purchasing systems, shop scheduling
systems, dispatching systems, shop floor control systems, and capacity requirements planning systems.
MRP in Manufacturing Planning and Control
Figure 4.1 is a general model of a manufacturing planning and control (MPC) system. Several
supporting activities are shown for the front end, engine, and back end of the system. The front end
section of the MPC system produces the master production schedule (MPS). The back end, or execution,
systems deal with detailed scheduling of the factory and with managing materials coming from vendor
plants .
Material requirements planning is the central system in the engine portion of Fig. 4.1. It has the
primary purpose of taking a period-by-period (time-phased) set of master production schedule
requirements and producing a resultant time-phased set of component/raw material requirements.
In addition to master production schedule input, MRP has two other basic inputs. A bill of material
shows, for each part number, what other part numbers are required as direct components. The second
basic input to MRP is inventory status. To know how many are on hand, how many of those are already
allocated to existing needs, and how many have already been ordered.
The Basic MRP Record
At the heart of the MPC system is a universal representation of the status and plants for any single
item (part number), whether raw material, component part, or finished good. This universal representation
is the MRP time-phased record. Figure 4.2 provides an illustration, displaying the following information:
(l)Time bucket
The top row in Fig. 4.2 indicates periods. The period is also called a time bucket. The most widely
used time bucket or period is one week. A
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Material Requirement Planning (MRP) 27
timing convention for developing the MRP record is that the current time is the beginning of the first
period. The number of periods in the record is called the planning horizon.The planning horizon indicates the number of future periods for which plans are made.(2) Gross requirements
The second row, Gross Requirements, is a statement of the anticipated future usage of or demand forthe item during the period. The
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gross requirements are time phased, which means they are stated on a unique period-by-period basis ratherthan aggregated or averaged.
(3) Scheduled receipt
The Scheduled Receipt row describes the status of any open orders (work-in process or existingreplenishment orders) for the Item due in at the beginning of the period. This row shows the quantities thathave already been ordered.
Period 1 2 3 4 5
Gross requirements 10 40 10
Scheduled receipts 50
Projected available balance 4 54 44 44 4 44
Planned order releases 50
Lead time = 1 periodFig. 4.2.
Lot size = 50 The Basic MRP Record
(4) Projected available balance
The next row is called Projected Available Balance. i.e., the row is the projected balance at the end ofthe period after replenishment orders have been received and gross requirements have been satisfied. Anextra time bucket shown at the beginning shows the balance at the present time.
(5) Planned order release
Whenever the projected available balance would show a quantity insufficient to satisfy requirements(a negative quantity), additional material must be planned for. This is done by creating a planned orderrelease at the beginning of the period in time to keep the projected available balance from becomingnegative.
(6) Action bucket
The MRP system produces the planned order release data in response to the gross requirement,scheduled receipt, and projected available data. When a planned order is created for the most immediate orcurrent period, it is in action bucket. A quantity in the action bucket
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Material Requirement Planning (MRP) 29
means that some action is needed now to avoid a future problem. The action is to release the order, whichconverts it to a scheduled receipt.
Bill of Materials
Figure 4.3 shows a snow shovel, which is end item part number 1605.The product structure diagram and the indented bill of materials (BOM) are shown in Fig. 4.4
Gross to Net Explosion
Explosion is the process of translating product requirements into component part requirements,taking existing inventories and scheduled receipts into account.
The gross to net explosion process means that, as explosion takes place, only the component partrequirements (net) of any inventory are considered as exemplified in Fig. 4.5. In this way, only the
necessary requirements ate linked through the system.
Leadtime Off Setting
In addition to precedent relationships, the determination of when to schedule each component part alsodepends upon how long it takes to
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30 Materials Management
Fig. 4.4 Product Structure diagram
GROSS AND NET REQUIREMENTS CALCULATION FOR THE SNOW SHOVEL
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Material Requirement Planning (MRP) 31
Produce the part, i.e., the lead time. There are two alternatives in scheduling approaches. One is the front
schedule logic, i.e., scheduling as early as possible. Another is the back schedule logic, i.e., scheduling as
late as possible.
Back scheduling has several obvious advantages. In MRP, the timing of the planned order release is
arrived at by offsetting for lead time. MRP achieves the benefits of the back scheduling approach and can
perform the gross to net explosion.
Linking the MRP Records
Figure 4.6 shows the linked set of individual time-phased -MRP records for the top handle assembly of the
snow shovel.
Technical Issues
Processing frequency
Since conditions change and new information is received, the MRP records must be brought up-to-
date so that plans can be adjusted to reflect these changes. This means processing the MRP records anew,
incorporating the current information. Two issues are involved in the processing decision; how frequently
should the records be processed, and whether all the records should be processed at the same time.
(1) Regeneration
When all of the records are processed in one computer run, it is called regeneration. This signifies
that all part number records are completely reconstructed each time the records are processed.
(2) Net change
An alternative is net change processing, which means that only those records which are affected by
the new or changed information and net change is the frequency of processing.
Lot sizing
In the snow shovel example of Fig. 4.6 we illustrated a fixed lot size and lot-for-lot procedure.
Several other approaches to lot sizing are widely recognized .
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Material Requirement Planning (MRP) 33
Safety stock and safety lead time
Carrying out detailed component plans is sometimes facilitated by the inclusion of safety stocks
and/or safety lead times in the MRP records. Safety stock is a buffer of stock above and beyond that
needed to satisfy the gross requirements. Safety lead time is a procedure whereby shop orders or purchase
orders are released and scheduled to arrive one or more periods before necessary to satisfy the gross
requirements.
Low-level coding
If Fig. 4.6 the time-phased record is processed for either of common parts before all their gross
requirements have been accumulated, the computations will all have to be redone. The way this problem
is handled is to assign low-level code numbers to each part in the product structure or the indented BOM.
Pegging
Pegging relates all the gross requirements for a part of all the planned order releases that created
the requirements. The pegging records contain the specific part number or number of the sources of all
gross requirements. The pegging information can be used to trade the impact of a material problem all the
way up to the order it would affect.
Service parts
Service part demand must be included in the MRP record if the material requirements are not to be
understated. The service part demand is typically based on a forecast and is added directly into the gross
requirements for the part.
Firm planned orders
If changes have taken place since the last time the record was processed, the planned order releases
can be very different from one record-processing cycle to the next. Since the planned orders are passed
down as gross requirements to the next level, the differences can cascade throughout the productstructure.
One device for preventing this cascading down through the product structure is to create a firm
planned order (FPO). FPO, as the name implies, is a planned order that the MRP system does not
automatically change when conditions change.
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Inventory Control
Selective Controls
Basic Terms
Inventory: The term refers to the stock at hand at a given time (a tangible asset which can be seen,
weighed or counted). It refers to the material held in an idle or incomplete state awaiting future sale or use.
In the most general sense, inventory is an idle resource.
Item: An element, mixture, compound, component, sub-assembly, finished good, production
equipment or any other one piece tangible asset which forms inventory in an organisation.
Inventory Policy: A definitive statement regarding the philosophy of inventory management, a
policy stating when to procure and how much to procure, usually to ensure that the sum of all costs
associated with the inventory process will be minimized.
Inventory Control: A functional activity the objective of which is to minimize the total costs of
maintaining inventories and of acquiring them in order to render the stipulated level of service.
Inventory Classification
Raw Materials: Basic materials for processing/conversion into finished goods e.g. Pig Iron, M.S.
Rods, PVC Resin.
Bought-out Components: Items not manufactured/fabricated by the organisation but used with or
without further processing and/or packing the finished product; e.g. Rubber parts by an Engg. Co., Tin
Cans by a Vanaspati Mill.
Work-in-Process: Partly manufactured/processed inventories awaiting further
manufacturing/processing between two operations and are in the process of being fabricated or assembled
into finished products, including materials lying with sub-contractors and materials lying in shop floor for
further processing or assembly.
5
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Inventory Control 35
Finished Goods: The complete units and the assemblies carried in stock ready for delivery to
customers or for transfer to other plants or for own use. e.g. A bicycle, a Football, A Lathe Machine.
MRO: Maintenance, Repair and operating supplies. The group include spare parts and consumables
which are required for use in the process but do not form a part of the finished product. e.g. lubricants, V-
belt, Electrodes, pencil, soap, etc.
Inventory Analyses
Altogether the company deals with stock of thousands of items raising a serious problem of how one
can keep control or track of all these items and also, whether it is necessary to have the same extent ofcontrol on each and every item or not. Different types of analysis each having its own specific advantages
and purpose, help in bringing a practical solution to control inventory. The most important of all such
analyses is the ABC analysis. The others are:
VED
SDE
FSN
HML
XYZ
Definitions and application of these analyses are tabulated as in the following pages.
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Inventory Control 37
While formulating inventory policy for an item a combination of various analyses is useful. For
example, liberal safety stock may be kept for an item which falls into 'C', 'V' and 'S' categories and vice
versa for an 'A', 'D' ai1d 'E' item.
ABC Analysis
ABC is said to connote 'Always Better Control'. The basis of analysing the Annual Consumption
Cost (or usage cost) goes after the principles ' 'VITAL FEW TRIVIAL MANY" , and the criterion used
here is the money spent and not the quantity consumed. The figure given below brings out clearly the
concept of ABC analysis.
The general picture of ABC - analysis will show the following pattern :-
In many cases, the figures bring out that the A items are still fewer in number representing the bulk
of the money. To cite an example :-
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Class of items Item % % of Annual Usage Cost
A 8 75
B 25 20
C 67 5
It may be of interest to note that this ABC analysis i.e. the vital few; trivial many, principle is
observed in most of the business problems such as number of dealers and volume of business; different
items of expenditure of revenue and the amount involved, nature of customer complaints and number of
complaints etc. etc. The controls necessary on A, B & C items are obvious "Thick on the best, thin on the
rest". One of the Departmental stores modified this to state "Thick on the best to hell with the rest".
Control on A Items
The annual consumption cost being very high for these few items, any small percentage savings
bring out large benefits such as reduction in expenditure, release of locked up capital etc. Normally, these
items are to be under the direct control of the purchasing manager himself. All endeavours should be to
reduce the safety stocks, low cost of purchasing, control on consumption and waste. The measures to be
taken on 'A' items can be briefly put down as follows :-
(i) Annual contract for supplies with as frequent staggered deliveries as is economical.
(ii) Minimum safety stock or even fluctuating safety stocks by maintaining better vendor/vendee
relationships, speculation of market conditions, supply conditions, etc.
(iii) More frequent review of stock position and consumption patterns.
(iv) Precise quality specifications or materials standard evolved.
(v) Value Analysis to find cheaper substitutes, better source of supply and to reduce the overall costs.
(vi) Waste control measures to reduce the scrap, rejection, rework and sub standards.
(vii) Continuous developmental work or research carried out wherever possible.
(viii) Possibility of adopting 'cock-system' when the materials are stored and supplied at the factory
site by the supplier at his own cost.
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Inventory Control 39
Control on C-Items
The other extreme where a large number of items constituting a small percentage of costs, needs very
simplified procedures and the objectives being to reduce the purchase costs as well as handling and
distribution costs. The following measures are suggested :-
i) Maintain sumptuous stocks (Avoid the proverb, "For the sake of a horse-shoe nail, the battle was
lost' ').
ii) Purchasing costs minimized through single tender system, blanket contract, travel orders, clubbing
of similar items into one purchase order, purchasing annual requirements, blank cheque ordering
procedure etc.
iii) Inventory carrying costs & Paper work reduced by bulk issues, writing off the values (controlthrough perpetual inventory) of stocks, variety reduction and standardization, pool-system. etc.
Control of B Items
On these items the controls are 'via-media' of A & C, Usually, the safety stocks are decided on a
policy basis.
Other Analyses
The definitions and criteria of YED, SDE, FSN, HML and XYZ analyses have already beentabulated on pages 5-36. Keeping in view the objective of such categorization and nature and, volume of
inventory, the classification is made by each organisation suiting to its own requirements and controls. For
example, non-moving items in an organisation may be the list of those items which were not consumed
during a period of last one year while another organisation engaged in Projects or Maintenance Services
may fix a period of even 2 or more years to identify such items. It is however useful to keep a list of 'V'
items with stores officer, 's' with purchase officer and 'A', 'V', ‘S' & 'N' with chief executive for
continuous follow up & control.
Economic Order Quantity (EOQ)
Total cost of managing inventory of an item depends upon three factors :-
(i) Ordering Cost (OC).
(ii) Inventory Carrying Cost (ICC).
(iii) Quantity Discounts (QD).
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Ordering Cost (DC)e
Ordering cost is the cost of placing one order. Total ordering cost per order can be determined by
estimating annual cost actually incurred during the past one year against following elements :-
(i) Salaries + Perks paid to all the employees in the purchase department.
(ii) Proportionate part of salary + perk of the executives and employees of other departments spending
part of their time in making purchases. This will include accounts personnel associated with pur-
chase department in evaluating quotations and making payments. Also QC department engaged in
inspection and testing of purchased items.
(iii) Traveling expenses related to procurement.
(iv) Telephone, telegram 1 telex, postage and stationery relating to procurement.
(v) Depreciation of accommodation (or rent of building) and equipm nt used for procurement.
(vi) Insurance, power, water and other service charges relating to purchase department.
(vii) Any other cost (entertainment etc.) incurred for purchasing.
If N is the number of orders placed during the year, ordering cost
There are many limitations in the above method of calculating ordering cost. Firstly the cost has been
uniformally distributed to all orders by taking average. In actual practice there is wide variation from order
to order. For example, the cost involved in procuring an item on the basis of tendering will be much higher
than placing order to a standard supplier (evaluated best through vendor rating). Similar cost of procuringitem from far off place will be much higher than local purchases. Secondly an order may contain only one
item or ten or even more items. If separate orders for each item are placed the cost will be much higher than
the common order for items at a time. Since the economic order quantities are being worked out order for
each item, the above ordering cost, which may be for a group of items, will not indicate a clear picture of
the OC relating to the item in question. Thirdly, by increasing no. of order in a year for an item, the
quantity per order will reduce. The reduced quantity
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42 Materials Management
inventory during that year. Average inventory can be calculated as follows :-
Av. Inv. = Opening Stock + Closing Stock
2
A better estimate of average inventory can be made by adding stock balance on the last day of eachmonth of the previous year and dividing it by 12.
Let us take an example to explain the method of calculating ICC. If the stock balance on the last dayof each month for previous year is 4, 4.5, 3, 6, 5, 4.5,4,4.5,5.5,3,2, 2lakhs then
Av. Inv. = 4+4.5+3+6+5+4.5+4+4.5+5.5+3+2+2
12= 4 lakhs
If the bank interest on working capital is 18% and total inventory holding cost against all elementslisted from (ii) to (ix) above is Rs. 40,000 then
The I.C.C has a straight line relationship with the average inventory as shown in figure 5.1.
Economic Order Quantity is defined as the order quantity against which total of OC and ICC isminimum. As shown in figure 5.1, EOQ will be the order quantity where both ICC and OC curves intersecteach other. Mathematically this quantity is calculated by the following formula :-
Where Q = EOQ
A = Annual Consumption of the item in units.
S = Ordering Cost in Rs.
I =Inventory carrying cost as a fraction of the Av. Inv.
C =Unit cost of the item in Rs.
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Inventory Control 43
Let us say that during the next year forecast of consumption of an Item is 5,000 units, S and Icalculated on the basis of last year data are Rs. 50/- and 0 . 25 respectively and the unit price of the item isRs. 2 then
If we assume the ordering cost S =10 and the inventory carrying cost 1= 20 per cent or 0.20, foreveryday use it is possible to workout EOQ data for different levels of annual consumption. It is not
necessary to calculate the EOQ for each and every item, since the ordering cost and carrying cost vary only
with number or orders and the value of purchase and not with the nature of the item to be purchased. An
illustrative table' incorporating economic order quantity and cost data for seven values of annual usage is
given in table below:-
(EOQ data with = Rs. 10 per order and I = 20 per cent or 0.20)
Annual Usage Economic Order Time Supply Number of or-(A) Rs. Quantity (Q) Rs. ders per Year
(A/Q)
40,000 2,000 18 days 20
10,000 1,000 5 weeks 10
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Annual Usage Economic Order Time Supply Number of (A) Rs. Quantity (Q) Rs. orders per year
~ (AQ)
8,100 900 6 weeks 9
4,900 700 7.5 weeks 7
1,,600 400 3 months 4
900 300 4 months 3
100 100 1 year 1
From the table it can be easily seen that for C items, the cost of carrying inventory is naturally small
and, for minimizing total cost, the ordering cost has to be kept low and so these items are ordered as
infrequently as once or twice a year. On the other hand, for A items the inventory-carrying cost is high and
for minimum total cost, the ordering cost should be very nearly equal to it. This means that the number of
orders should be greater and purchases should be made more frequently in small lots so that inventories
may be carried at a low level and at a low total cost.
While, normally, purchases should be guided by the EOQ data similar to that shown above,
departures can be made for good and valid reasons. The practical order quantity may be slightly more or
less than that theoretically calculated. It should be noted that the total cost curve is flat at the bottom and
the total cost is therefore relatively insensitive over an appreciable range around the theoretically calculated
quantity. It can be shown mathematically that for an order quantity ranging from 75 percent to 125 percent
of the theoretical quantity, the cost increase is less than 10 percent. Some practical considerations, as
mentioned below may suggest a different quantity for purchase than the one mathematically obtained by
the EOQ formula:
(1) Simplification of routine-for example, instead of 13 orders per annum, 12 orders per annum may be
issued.
(2) Ordering in nearest trade quantities or packing-for example, instead of ordering 11-1/2 dozen,
order a gross (12 dozen).
(3) By slightly increasing the order quantity a better freight rate may be obtained-for example, instead
of seven -eights or three-quarters of a wagon load, order a full wagon load.
(4) In the case of perishable items or items whose shelf life is very low, it may be advantageous to
order less than the economic order quantity.
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Inventory Control 45
(5) If an item is of a season~1 nature, it may be necessary to buy large quantities during the season,
regardless of the EOQ.
(6) Considerations of shipping facilities from abroad and Government import policy may indicate a
different order quantity for imported items.
(7) Internal transportation difficulties, quota licenses, etc. may also justify different quantities from
the EOQ.
(8) Liberal discounts may be applicable to bulk purchases which may suggest buying much larger
quantities than indicated by EOQ. Each case should be worked out in terms of ultimate cost,
considering extra inventory costs, additional costs f05 storage and handling, dangers of
deterioration and pilferage, etc.
Normally the aim should be to order the nearest practical quantity approximately to the EOQ.
Where large deviations are considered necessary, each case should be examined carefully to ensure that
the deviation from the EOQ does actually benefit the undertaking in the long run.
Quantity Discounts
Whenever discounts are offered for bulk purchases, each case should be considered in terms of its
ultimate cost. A rough and ready formula for deciding such cases can be worked out if, to simplify matters,
we assume that the ordering cost is negligible compared to the other factors involved. If one month's usage:
of an item is added to the EOQ by bulk purchase, the average inventory cost of the item is increased by halfI a month's usage i.e., by A/24 of a year's usage where A is, as before, the annual consumption value of the
item. If m months' usage is added to the EOQ the average inventory will be increased by mN24 rupees.
The increase in inventory-carrying cost will be mAII24 rupees where I is the inventory-carrying cost
expressed as a· fraction of the inventory cost. The reduction in cost offered by the discount must be more
than this increase. If x is the reduction (expressed as a fraction) offered per rupee-worth of material, the
annual cost reduction due to bulk discount will be xA rupees.
. '. xA > mAI / 24x > mI / 24
If I is taken as 24 per cent or 0.24.
x > m / 100
or100x > m
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This indicates that bulk purchases can be profitably made if the per cent discount offered is greater
than the number of months' usage added to the EOQ. Though this is a very rough formula, it is useful and
the following example will make its application clear.
Example: The price and discount pattern for an item is as follows:
Quantity Unit Price (Rs.) Discount
1-99' 100 -
100-999 95 5 percent1000 &
over 85 15 per cent
If the monthly usage of the item is 150 and the EOQ is 500, would it be advisable to increase the
order quantity to 1000 to take advantage of the bulk discount?Per cent discount if 1000 units are ordered at a time instead of
Number of months' usage added to the EOQ by purchasing 1000
As 10.5 is greater than 3.3, the order quantity can be raised from 500 to 1000 to take advantage ofthe discount.
Replenishment
There are two ways to find out when and how much quantity is to be ordered. The first is based on
fixing a Re-ordering point (known as Re-ordering level or R.O.L) and when· the stocks fall below this
point an order is placed. The second approach is to place an order at fixed intervals of time. These two
approaches can be termed as :-
(1) R.O.L. Method of Ordering
(2) Periodic Ordering Method.
R.O.L. Method
The R.O.L. is determined by adding the Lead Time requirements to safety stock.
R.O.L. = Safety Stock + Lead Time Requirements. The
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Inventory Control 47
Ordering Quantity is usually the Economics Ordering Quantity as shown in Figure 5.2.
Periodic Ordering Method
The stocks are reviewed at fixed intervals of time (known as Review Period) and orders are placed
either for a fixed quantity or a variable quantity.
(i) When the ordering quantity is fixed (EOQ); it is checked whether! it the periodic reviews the
stocks have fallen below a Re-order Limit (R). If the stock is lower than the Re-order Limit,
order is placed for E.O.Q. but if it is above the Re-order point, no action need to be taken till the
next Review date.
The Re-order limit R is calculated as follows:
R =Safety Stock + Rate of Consumption (Lead Time +Review Period)
2
R = Re-order limit (in units)
B = Safety Stock (in units)
Sd = Average Daily Sales (unit/day)
L = Average Lead Time (in days)
P = Review Time (in days)
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Inventory Control 48
The average stock works out to : safety Stock + 1/2 of EQQ
INVENTORY MODEL
(ii) Where there is no fixed ordering quantity, Q is determined as the difference between the actual stocks
held at the time of Period Review and the Maximum Inventory Level (M).
M = Safety Stock + Consumption Rate (Lead Time + Review Period), Depending upon whether theLead Time is greater or lesser than the Review Period, one of the following two rules is used in
fixing the Reordering Quantity:
Q = : M - (Actual Stores held at the time of Review + Quantity on order)
The Inventory fluctuation by this system is shown in Fig. 5.4.
Average Stock =Safety Stock + l/z Consumption Rate x Review Period
If Lead Time < Review Period
Q = M - (Actual Stores held at the time of Review)
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Inventory Control 49
Optimum Review Period (RP)
Safety Stock
The safety stocks become necessary in order to avoid 'Stock Outs' if the rate of consumption
increases and/or the lead time gets extended from the values considered for the replenishing systems.
Thus, a simple way of establishing the safety stock would be to find out the above two variations that
could normally occur over a period of time in terms of additional quantity of stock to be maintained.
Applying the Probability Theory, safety stock would be determined as follows:-
(i) When R.O.L. System is used:
(ii) When periodic Review System is used:
According to Kobert, it might be a good idea to define three degrees of criticality in regard to safety
stocks for which he establishes the following reaction rules:
*Minor items whose stock out would cause little inconvenience and could easily be overcome: Any safety
stock for this type of item would be a needless expense.
* Major items whose stock out would cause expediting inconvenience, and additional costs due to minor
production delays, extra shipping and handling charges etc: Emergency qualities of these types of
stocks could be obtained locally at a premium. The extent of the extra costs should determine the size of
stock these types of items.
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* Critical items whose stock out would cause major delays in shipment and/or production with excessive
costs resulting from both the effects of the stock out and the efforts to overcome the situation:
Emergency quantities of these items are not available locally at any cost. Safety stocks would be calledfor with these types of items, but reasonableness should be considered in determining their size.
The factor K is taken out from the table given below:
Accept-
ableAverage
No. of Order Quantity in Month'. SupplyYears be-tweenStocks
outs
1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12.
20 2.64 2.39 2.24 2.13 2.04 1.96 1.89 1.83 1.78 1.73 1.69 1.64
15 2.54 2.29 2.13 2.01 1.92 1.83 1.76 1.70 1.64 1.59 1.55 1.50
12 2.48 2.20 2.04 1.92 1.82 1.73 1.66 1.59 1\53 1.48 1.43 1.38
10 2.39 2.13 1.96 1.83 1.73 1.64 1.57 1.50 1.44 1.38 1.33 1.28
9 2.36 2.09 1.92 1.79 1.68 1.59 1.52 1.45 1.38 1.33 1.27 1.22
8 2.31 2.04 1.86 1.73 1.63 1.53 05 1.38 1.32 1.26 1.20 1.15
7 2.26 1.98 1.80 1.67 1.56 1.47 1.38 1.31 1.24 1.18 1.12 1.07
6 2.20 1.92 1.73 1.39 1.48 1.38 1.30 1.22 1.15 1.09 1.02 0.97
5 2.13 1.83 1.64 1.50 1.38 1.28 1.19 1.11 1.04 0.97 0.90 0.84
4 2.04 1.73 1.53 1.38 1.26 1.15 1.05 0.97 0.89 0.81 0,74 0.67
3 1.92 1.59 1.38 1.22 1.09 0.97 0.86 0.76 0.67 0.59 0.51 0.43
2 1.73 1.38 1.15 0.97 0.1l1 0.67 0.55 0.43 0.32 0.21 0.10 0
1 1.38 0.97 0.67 0.43 0.2l 0 0 0 0 0 0 0
K factors used to calculate the safety stock needed to provide various levels of protection against
stock out for items whose usage pattern is similar to a Poisson distribution.
Ready Reckoners
For the replenishing system (including for safety stocks) tables could be prepared which would act as
Ready Reckoners to replace the laborious calculations involved. Some examples of such tables are given on
next page:
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52 Materials Management
The decision rules in inventory control systems employ order points or order-up-to-Levels based on
safety stocks developed through analysis of errors of forecasting the needs of individual components
treated independently. The weaknesses of such an approach in a manufacturing environment can be
summarized as follows:
1. There is no need to statistically forecast the requirements of a component. Once the production
plans for all items in which it is used have been established, the requirements of the component
follow, as dependent demand, by simple arithmetic. The patterns of inventory balance vis order
point for independent demand from customer, dependent demand of components and raw
materials are shown in figure 5.5.
END PRODUCTMONY SMALL INDEPENDENT DEMANDS FROM CUSTOMERS
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Inventory Control 53
2. The procedures for establishing safety stocks are usually based on reasonably smooth demand.This is usually unrealistic in the case of component items.
3. Inventory control systems are geared to replenish stocks immediately following large demands
that drive inventories to low levels. In a "lumpy" demand situation, a large demand may be
followed by stock out but it makes no sense to immediately replenish the stock. Unnecessary
carrying cost would be incurred by such an action. The causes of lumpy demand of 'steel z' for a
hand tool manufacturing unit are shown in Figure 5.6.
Fig. 5.6 CAUSES OF "LUMPY" DEMAND
4. Where several components are needed for a single assembly the inventories of these individual
components should not be treated in isolation. To illustrate, consider the case where twenty
different components are required for a particular assembly. Suppose, under independent control
of the components that for each component there is a 95 percent chance that it is in stock. Then
the probability of being able to build a complete assembly is only (0.95)
20
or
0.36.
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Work In Process Inventory (WIP)
Definition
All materials in an organization after the point of issue from stores to the point of receipt in the sales-
godown are called Work in Process (WIP) Inventory. The time gap for the flow of materials between these
two points is called processing time. WIP has direct relationship with the processing time. WIP is normally
expressed as the value of materials being processed during processing time. This value goes on increasing
from the starting point that is issue of materials from stores to the last point. In the beginning this value is
just the materials cost and then labour cost, machine cost and overheads go on adding. Since labour cost,
machine cost and overhead are
6
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Work in Process Inventory (WIP) 55
also directly proportional to the processing time, these costs will also be affected by the processing time.Figure6.1 shows WIP curves. Solid curve is for the processing time T (before its reduction) and dotted
curve is for the processing time t (after its reduction). Area below the curve is an indication of the value of
WIP. It is clear that area below dotted line is less than the area below solid line. If an effort is made to cut
the processing time from T' to t and assuming the time reduction is spread equally throughout the process,
the post WIP curve will plot such that the horizontal axis value shifts to the right (is reduced) by the value
T -t. If level of WIP is Wand
Manufacturing sales are S than WIP Inventory turnover ratio =l2SW
Calculation of WIPWIP inventory as explained above is a function of manufacturing cost (C) and processing time (T).
Where D 1 is the cost incurred or the input in the month before a product is completed, D 2 is the input two
months before the product is completed and Dr is the input T months before a product is completed. The
value of WIP i.e. W is shown by
This does not, however, include input in the month of completion since these goods become finished
goods at the point. OT.T is determined by the manufacturing costs and the distribution of work performed
monthly (WIP distribution co-efficient) in particular the processing time T. Let the co-efficient be called
E.
From equations 1, 2 & 3 :-
Assuming that the input (C) remains same but the processing time is reduced from T to t thereby changingWIP co-efficient from E to e. The new
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Work in Process Inventory (WIP) 56
WIP (w) will be as follows :-
w = C(e-l) ... (5)
Example 1
Through factory automation (FA) the processing time in an automobile factory is reduced from 4months to 2 months. Month-wise break-up of inputs are given below:-
Before FA After FA1 month before completion 50,000 2,00,000
2 months before completion 1,00,000 3,00,0003 months before completion 1,50,000 -----
4 months before completion 2,00,000 -----
If the manufacturing sales are Rs. 5.50 lakhs, calculate the WIP inventory, WIP ratio and %reduction in WIP before and after FA.
Solution:
1. Before FA
Manufacturing Cost (C) = 0.5 + 1.0 + 1.5 + 2.0 = Rs.5 lakhs. WIP distribution co-efficient (E)
WIP (W) = 5 (3 - 1) = 10lakhs
WIP T/O Ratio = 12 X 05.5 = 6.610
2. After FA
Manufacturing Cost (C) = 2 + 3 = 5 lakhs
Manufacturing sales (s) = 5.51akhs
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Work in Process Inventory (WIP) 57
Example 2
Processing time in an electronic industry is reduced from 12 days to 3 days through processimprovement and line balancing. Day-wise break-up of input to the factory is as follows:
Day before the final assly & testing1 2 3 4 5 6 7 8 9 10 11 12
Before Im- 1 1 2 2 4 1 1 2 3 2 1 10
provement
After Im- 3 7 20 - - - - - - - - -
provement
Calculate % reduction in WIP inventory & % reduction in process time.
Solution:
C = 1 + 1 + 2 + 2 + 4 + 1 + 1 + 2 + 3 + 2 + 1 + 10 = 30CE = 1 x 1 + 1 x 2 + 2 x 3 + 4 x 5 + 1 x6 + 1 x 7 + 2 x 8 + 3 x 9 +
2 x 10 + 1 x 11 + 10 x 12 = 244
W = CE-C = 244-30 = 214
C = 3 + 7 + 20 = 30
Ce = 3 x 1 + 7 x 2 + 20 x 3 = 77
w = 77 -30 = 47
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58 Materials Management
How to Reduce Process Time?
* Line Balancing.
* Minimum movement through improved Plant Layout.
* Maximum speed of flow of materials between processes through mechanised handling.
* Minimum Setting Time. Quick die change mechanism, standby tool holders and machine
heads etc.
* Minimum process time. Use catalytic agents. Maximum tool speeds, feeds and depth of cut.
* Rigorous use of preventive machine maintenance systems.
* Self inspection by operator. Eliminate inspection stages by adopting running inspection and samplinginspection during material movement between processes.
* Minimum number of operations.
* Most efficient operations through factory automation.
* Just-in-time Production System.
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Spare Parts Management
Specific Problems
The main problem with spares required for day to day repair, maintenance of plant and machinery is
that there never seem to enough of them when required and too many in stock of such spares which are not
required. This is only the symptom of the illness. The main causes of this universal state of affairs are :-
1. The wage usage rates of spares are very low as compared to raw materials of general stores; this
causes their requirement to be highly fluctuating from period to period. The spare parts manager is
always at the end of his wits to assess and catch up with this variation.
2. The wage range of spare parts is very large and their individual value, relatively small. This raises
the problem of the level of control. Most spare parts inventory management is done at the lowest
organisationallevel. The senior manager just does not have time to deal with such a large range.,
though the problem of spare parts are most complex and can be appreciated by a trained manager
much better than a stores clerk.
3. The rate itself is difficult to establish from past records especially for the slow movers which form
the bulk of the spare parts inventory. Little usage history is available and the natural variability of
usage causes over estimates of requirement. As such, usage rates of spare parts have to be an
engineering assessment. If at all the maintenance engineer is consulted, he tends to make an over
estimate by himself taking over the material manager's function and allowing for safety margin,
also to allow for his own error of judgment.
The above problems have been tackled scientifically only in recent years. The solutions are far from
ideal but provide a much greater satisfaction as compared to the situation currently obtained in mostorganizations.
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60 Materials Management
Let us consider an example from the transportation industry where a single workshop looks after a
large fleet of, say, 10,000 vehicles. If the average requirements of fan belt per lead time (such as one
month) was 10% then the workshop should place a demand when the stocks fall to 1000 fan belts (10%
to 10,000). Vehicles are now split into ten groups of 1000 each, and each group is supported by the
different workshop (the lead time for procurement remaining the same as before) then, on the average,
each workshop will experience a consumption of 100 fan belts during the lead time but the variation
from workshop to workshop will be of the order of perhaps, 90 to 110. In their attempt to provide all the
spares when required, each workshop will then tend to retain a stock of 110. Causing a total stock of
1100 amongst all the workshops.
Now if each of these groups of 1000 vehicles is further split up into 10 groups of 100 vehicles
each, then there will be in all 100 groups of 100 vehicles, each experiencing .an average monthly
demand of 10 fan belts per group. However, now the actual variation of requirement of fan belts from
group to group would perhaps 'be of the order of 5 to 15. If 100 different workshops were to service
these 100 groups, then each workshop would tend to keep a stock of 15 fan belts to ensure full
availability when required so that the total 'deployed' stock would now rise to 1500 whereas the true
requirement was only 1000. This can be carried on further. Intuitively, one can guess that the variation in
consumption will increase as the usage rate goes down. Finally, when the usage rate becomes fractional,
the variation can be from 0 to at least 1 or even 2. The deployed stocks will then rise as shown in the
following table:
No. of Average Variation Total no. Total SafetyVehicles rate per of usage of groups Spares stock (ex-
in each group rate per Stocked cess overgroup group average)
10, 000 1000 - 1 10001, 000 100 90- 110 10 1100 100
100 10 5- 15 100 1500 500
10 1 0- 2 1000 2000 1000
1 0. 1 0- 1 10000 10000 9000
The above table clearly brings out the tremendous relative increase in the variation of usage below
and above the average as the latter decreases and becomes fractional consequently, the safety stack, i.e.
the quantity to meet the excess requirement also goes up sharply. In fact, it
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Spare Parts Management 61
also points to the method of reducing spares inventories. Thus, if the spares support is rendered from a
central store, the effective usage rate increases and its variation is reduced so that the safety stock required
is also small. Splitting vehicles into small pockets effectively reduces the usage rate, variation of. which
then becomes greater and greater and safety stock increases very rapidly.
Statistical Analysis
Having noted the fact that there is random variation in the actual requirement of spares from period to
period, the next step is to look for any pattern that may exist in this variation. Research conducted in
Western countries and in the Armed Forces has proved that a statistical law governed the requirement ofmaintenance spares for every kind of equipment be it air-craft, submarine, ship, radar, tank, vehicle,
machine tool, telephone or radio. To understand how these patterns can be used to determine the safety
stock, a simple numerical example can be taken.
Assume that we had a large amount of data available relating to the requirement of a certain spare
over a long period, Figure 7.1 above indicates this data. The height of the vertical bars represents the
proportion of times that particular spare (on the horizontal axis) was required. Typically, the data
pOl1rayed in Figure 7.1 shows that Qty. 8 spares were required 2% of the months Qty. 7 spares were
required 6% of the months. Within the total number of months examined, it was observed that there were 1
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% of the months during which no spare at all was required (The reference is to be one particular spare).
62 Materials Management
Hence, average requirement 439/100 = 4.39 per month.
From these figures, we can calculate the risk, or assurance associated with each stocking policy. It
should be noted that in the present case, the average consumption per month during the 100 month period is
only 4.39 as calculated above.
If we had stocked exactly 4 spares we would have had a 50% assurance only i.e. there would be a
50-50 chance of having enough spares when required. If we wish to give a better assurance than this, we
must increase the stock. This excess stock is the true/safety stock. The relationship between assurance and
safety stock in the present case is as under :-
Stock at the time of Safety Stock Assurance % Risk%PLACING DEMAND
8 4 100 0
7 3 98 2
6 2 92 8
5 1 74 26
4 0 49 51
3 - 29 71
2 - 14 86
No. of No. in Total No. of Spares
Spares which required
0 x 1 = 0
1 x 3 = 32 x 10 = 203 x 15 = 454 x 20 = 805 x 25 = 125
(i x 18 = 1087 x 6 = 428 x 2 = 16
439 No. of months 100
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D 1.5 2.0
E 1.3 1.9
64 Materials Management
Criticality Availability Annual Consumption
Value
A B
E S 1.2 1.6
D 1.0 1.5
E 0.8 1.4
D S 0 0.8
D 0 0.8
E0 0.8
k for an item classified as 'E-S-A' is 1.2 & for 'V-D-B' is 2.0
The k values proposed above provide assurance between 70 - 99.7% that items will not be out of
stock. Assurance is more where k value is more and less where it is less i.e. for k = 2.1 it is 99.7% and for
k = 0.8 it is 70%.
This simplification avoids the need for too many tables for various levels of assurance. In any case, it
has been found that, in practice, the quantity of spares the tables would indicate at low levels of assurance
would almost always be 0.
The above table shows that the cycle stock i.e. the 'average usage' part of the ROP becomes
relatively an insignificant part as the usage rate diminishes where the safety stock becomes the predominant
part for any given level of assistance. Typically, for a fast moving item having a monthly usage of 16, the
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the supplier, or anyone else. All these costs can be roughly estimated. Let us say, this cost (C1) is
estimated at Rs. 10000/-.
66 Materials Management
This value is called the "indifference level", The maintenance engineer is now asked whether, in'hisestimate, the chance of requiring that spare in the life-time of the affected vehicle fleet is as high as 10%. Ifhis answer is 'yes', the spare is stocked. If the answer is 'No', the spare is not stocked but bought only whenactually required,
It should be noted that the engineer will not be able to answer the questions "what is the probabilityof requiring a given spare during a given time" but when his thoughts are pegged against a specific figure(the indifference level) he will more often than not, be able to bring to bear his entire experience andengineering knowledge upon this question. It will be rare that he will not be able to answer even thisquestion, because, just as there is never complete knowledge, there is also never complete ignorance.
If the cost of the slow moving spares is very low, the above analysis is not required. The spare parts-manager should stock them at quantity l or 2, if they are critical and none or 1 if they are not
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Purchasing
Preliminary Considerations
It is a belief of long standing that purchasing is a matter of experience, contacts and bargainingskills. There exists, however, the other important side which helps economic purchasing and these arecertain modern techniques that give a more systematic approach and help in giving a sharper edge to theexperience and bargaining skills.
The five essentials of a good purchase are:
(1) Right Quality
(2) Right Quantity
(3) Right Price
(4) Right Time
(5) Right Source/
Right Quality :
The quality is usually specified by the designers or the engineering personnel. The tendency isalways to specify quality a step higher than necessary to doubly ensure the performance. The extra qualityhowever adds nothing but costs to the product. The purchasing can always scrutinize the qualityspecifications by comparison with the quality the competitors are buying and bring it to the notice of thedesigners. The other aspects are being in touch with the markets. Purchasing can always supply to thedesigners with information about alternative materials that can meet the specified quality requirements. Inmany requisitions the quality is specified so vague that future troubles are guaranteed; in such cases
purchasing must insist for explicit statement of quality requirements. The purchaser should considerfollowing points for ensuring right quality:
- As per own requirements.
- Clear specifications (ISI).
- Simplification & Standardizations.
- Support to supplier.
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68 Materials Management
Right Quantity
The concepts of E.O.Q. have already been considered elsewhere; there are two more aspects of Right
Quantity from the point of view of transportation costs and quantity discounts. If the supplies are in truck
loads or wagon loads substantial savings in transportation costs can be affected. At times two or three
items can be purchased from one supplier; it gives savings in transportation costs. The other aspect is of
discounts.
When buying for discounts, it is necessary to calculate the increase in inventory costs and also
chances of deterioration or obsolescence. E.O.Q. usually will give a value which may not be very suitable
from both the above angles and purchasing will have to modify it suitably. Before deciding right quantity,
following points should be considered:
- E.O.Q.
- Economy on Transportations.
- Quantity Discounts.
Right Price
and the interests in anticipation of delayed payments. Analysis of all these costs is necessary when
comparing When we talk of price, we talk of cost of materials upto factory which consists mainly of
ordering costs, the price of ready goods, the packaging costs, the handling and transportation costs,
forwarding and clearing costs prices as consideration only of the goods cost can be misleading.
The packaging, forwarding and clearing charges and damages ir transport can be reduced to a
minimum by purchasing locally. Again for different modes of transportation the packing need not be of the
same type. Handling costs can be reduced by getting the goods in packages that are ready for issuing to
shops. Last of all, if a supplier knows that he would not get his bills paid for a year, he is bound to charge
extra. Calling open tenders too increases the ordering costs and consequently the price and should be done
only when necessary. Consider following point before deciding right price:
- Need not be lowest