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Topic 2 Demand Forecasting Models I(1)

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  • 8/11/2019 Topic 2 Demand Forecasting Models I(1)

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    Time Period Demand

    1 84

    2 81

    3 89

    4 90

    5 996 106

    7 127

    8 117

    9 127

    10 103

    11 96

    12 96

    13 86

    14 101

    15 10916

    1 2 3 4 5 6

    60

    70

    80

    90

    100

    110

    120

    130

    140

    Dema

    Ti

    Demand

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    Time Period Demand Last Period Forecast

    1 84

    2 81 84

    3 89 81

    4 90 89

    5 99 90

    6 106 99

    7 127 106

    8 117 127

    9 127 117

    10 103 127

    11 96 103

    12 96 96

    13 86 96

    14 101 86

    15 109 101

    16 109

    Comment:This method is the navie method of forecast with maximum errors

    its a short term forecast(not feasable)

    0

    20

    40

    60

    80

    100

    120

    140

    Quantity

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    Last Period Forecast

    Demand

    Last Period Forecast

    Time Period

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    Make Col D +ve Column F /Column B

    3 3.70# 3.70#

    8 8.99# 6.35#

    1 1.11# 4.60#

    9 9.09# 5.72#

    7 6.60# 5.90#

    21 16.54# 7.67#

    10 8.55# 7.80#10 7.87# 7.81#

    24 23.30# 9.53#

    7 7.29# 9.30#

    0 0.00# 8.46#

    10 11.63# 8.72#

    15 14.85# 9.19#

    8 7.34# 9.06#

    MD MPE

    9.5 9.06#

    st error can be 0 ,it doesnt mean yor forecast is corr

    Column ! running

    average

    "soluteForecast Error

    "solute PercentError

    Mean "solutePercent Error

    (MPE)

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    Col D running total Col F running total Col # / Col $

    MD

    -3 3 3.0 -1.00

    5 11 5.5 0.91

    6 12 4.0 1.50

    15 21 5.3 2.86

    22 28 5.6 3.93

    43 49 8.2 5.27

    33 59 8.4 3.9243 69 8.6 4.99

    19 93 10.3 1.84

    12 100 10.0 1.20

    12 100 9.1 1.32

    2 110 9.2 0.22

    17 125 9.6 1.77

    25 133 9.5 2.63

    ect, ha!ent met the demand acta""y

    Col F runningaverage

    CumulativeForecast Error

    Cumulative"solute

    Forecast ErrorTracking%ignal

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    Time Period Demand

    1 84

    2 813 89 82.5

    4 90 85.0 8.!

    5 99 8".5 8#.!

    6 106 ".5 "2.!

    7 127 $02.5 "8.%

    8 117 $$#.5 $$0.!

    9 127 $22.0 $$#.!

    10 103 $22.0 $2%.!

    11 96 $$5.0 $$5.!

    12 96 "".5 $08.!13 86 "#.0 "8.%

    14 101 "$.0 "2.!

    15 109 "%.5 ".%

    16 $05.0 "8.!

    &E'!E 100.7 101.0 101.7

    M##MM 81.0 82.5 84.7

    M*#MM 127.0 122.0 123.7

    Two PeriodMoving Average

    Forecast

    Three PeriodMoving Average

    Forecast

    Fore

    cast

    1 2 3 4 5 6 7 8 9 10 11

    0

    20

    40

    60

    80

    100

    120

    140

    Moving Av

    Time Period

    Quantity(units)

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    $ 2 % 5 # ! 8 " $0 $$ $20.0

    20.0

    0.0

    #0.0

    80.0

    $00.0$20.0

    $0.0

    Moving Ave

    Time Period

    Demand/

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    8#.0

    8".8

    "#.0

    $05.5

    $$2.%

    $$".%

    $$8.5

    $$0.8$05.5

    "5.%

    ".8

    "8.0

    102.6

    86.0

    119.3

    Four PeriodMoving Average

    Forecast

    12 13 14 15 16

    rage Forecasts

    Demand

    Moving average

    (Demand)

    Moving average

    (Demand)

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    $% $ $5 $#

    rage

    &emand

    Two 'eriod (ovin) *vera)e+orecast

    Three 'eriod (ovin) *vera)e+orecast

    +our 'eriod (ovin) *vera)e+orecast

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    Time Period Demand

    1 84 eig,ts

    2 81 t-. is 01

    3 89 t-1 is 0.

    4 90 85.# t-2 is 035 99 8!."

    6 106 ".%

    7 127 $00.!

    8 117 $$5.$

    9 127 $$!.8

    10 103 $2

    11 96 $$%

    12 96 $0.%

    13 86 "!.

    14 101 "$15 109 "5.5

    16 $02

    T,ree-4eriod 5eig,ted

    moving average 6orecast

    1 2 3 4 5 6 7 8 9 10 11 12 13

    0

    20

    40

    60

    80

    100

    120

    140

    3-Period Weighted A

    Periods

    Demand/Forecast

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    14 15 16

    erage

    Demand

    !ree"#eriod $eig!ted moving

    average %orecast

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    Time Period Demand

    1 24

    2 26

    3 22 25.0 25.04 25 2. 22.#

    5 19 2.5 2.5

    6 31 2%. 20.$

    7 26 2." 28.8

    8 18 25.$ 2#.#

    9 29 2%.! $".!

    10 24 2.8 2!.$

    11 30 2.# 2.#

    12 23 25.! 28."

    13 25.2 2.2

    Exponential SmoothingForecast with alpha = 0!

    Exponential SmoothingForecast with alpha = 0"

    1 2 3 4 5 6 7 8 9 10 11 12

    0&0

    5&0

    10&0

    15&0

    20&0

    25&0

    30&0

    35&0

    !"onentia# $moothing

    Time Period

    Demand/Forecast

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    ,-* ,-*

    2 2 +or ex/onential smoothin(-*) o to data analsis and select ex/onential smo

    2. 2. 1elect the demand coloumn

    2%."2 2%."2 the value of alfa is iven in dam/in factor

    2.$%# 2.$%# if alfa is .2 then dam/in factor is 0.8

    2%.$088 2%.$088 out /ut rane is the couloun where ou want forecast

    2.#8!0 2.#8!0

    2.""#% 2.""#%

    2%.55"!$ 2%.55"!$

    2.#!!# 2.#!!#

    2.5$82$ 2.5$82$

    25.#$5! 25.#$5!

    13

    Demand

    '#onentia *moot!ing Forecast $it!

    a#!a + 0&2

    '#onentia *moot!ing Forecast $it!

    a#!a + 0&8

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    othin

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    l4,a 01

    Period Demand

    1 102 11 $0.00

    3 9 $0.204 11 "."#

    5 10 $0.$!

    6 8 $0.$%

    7 12 ".!$

    8 9 $0.$!9 10 "."%

    10 11 "."5

    11 20 $0.$#12 11 $2.$%

    13 9 $$."0

    14 11 $$.%2

    15 10 $$.2#16 9 $$.0$

    17 11 $0.#018 4 $0.#8

    19 10 ".%520 11 ".8

    l4,a 07

    Period Demand

    1 10

    2 11 $0.0

    3 9 $0.84 11 ".

    5 10 $0.!

    6 8 $0.$

    7 12 8.

    8 9 $$.%9 10 ".5

    10 11 "."11 20 $0.8

    12 11 $8.213 9 $2.

    E84onential

    %moot,ing

    Forecast

    E84onential

    %moot,ing

    Forecast

    1 2 3 4 5 6

    0

    5

    10

    15

    20

    25

    !

    )a#ue

    10

    15

    20

    25

    !"on

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    14 11 ".!

    15 10 $0.!16 9 $0.$

    17 11 ".218 4 $0.#

    19 10 5.%20 11 ".$

    1 2 3 4 5 6 7 8 9

    0

    5

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    7 8 9 10 11 12 13 14 15 16 17 18 19 20

    onentia# $moothing (A#"ha % &')

    ,ct-a Forecast

    Data Point

    s/ie in demand

    di/ in demand

    ntia# $moothing (A#"ha % &'*)

    Demand

    '#onentia *moot!ing Forecast

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    10 11 12 13 14 15 16 17 18 19 20

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    $"%ha 01

    Period Demand

    1 10 ,-*2 11 $0

    3 9 $0.24 11 "."#

    5 10 $0.$#8

    6 8 $0.$%

    7 12 ".!0!52

    8 9 $0.$##0$#9 10 "."%28$28

    10 11 "."#2502

    11 20 $0.$5!000$"212 21 $2.$25#00$5%#

    13 19 $%."0080$22"

    14 22 $."20%80"8%

    15 18 $#.%%#%0!2!8#16 20 $#.##"05822"

    17 21 $!.%%52%##58%18 19 $8.0#8$8"%2#!

    19 20 $8.2555$#$%20 21 $8.#0%#$$#"$

    E84onential

    %moot,ing

    Forecast

    1 2 3 4 5 6 7 8

    0

    5

    10

    15

    20

    25

    !"on

    D

    )a#ue

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    9 10 11 12 13 14 15 16 17 18 19 20

    ntia# $moothing (A#"ha % &')

    ,ct-a Forecast

    ta Point

    sustained increase in demand

    low al/ha means slow reaction time

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    $"%ha 07

    Period Demand

    1 10 ,-*2 11 $0.00

    3 9 $0.804 11 ".%#

    5 10 $0.#!

    6 8 $0.$%

    7 12 8.%

    8 9 $$.2"9 10 ".#

    10 11 ".8"

    11 20 $0.!812 21 $8.$#

    13 19 20.%

    14 22 $".2"

    15 18 2$.#16 20 $8.#"

    17 21 $".!18 19 20.!5

    19 20 $".%520 21 $".8!

    E84onential

    %moot,ing

    Forecast

    1 2 3 4 5 6 7

    0

    5

    10

    15

    20

    25

    !"on

    P

    )a#ue

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    9 10 11 12 13 14 15 16 17 18 19 20

    ntia# $moothing (A#"ha % &'*)

    ,ct-a Forecast

    riod

    same trend as /revious sheet

    hiher al/ha sees faster reaction to increase in trend

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    Month Actual Demand

    $ $2

    2 $!

    % 20

    $"

    5 2

    # 2$

    ! %$8 28

    " %#

    $0

    1 2 3 4 5 6 7 8 9 100

    5

    10

    15

    20

    25

    30

    35

    40

    %() + 2&55 . 10&3611111111

    ,ct-a Deman

    Linear (,ct-a

    Demand)

    Month

    A

    ctua#Demand

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    d


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