Calculate the critical pathArrow diagram

CriticalPathMethod

Edina NagyLajos Kiss

Szabolcs Hornyák

Time analysis

Time analysis goals:

- How much time is needed to implement the schedule?

- When can I start and finish the activities at the earliest?

- When can I start and finish the activities at the latest?

Activities

A list of all activities required to complete the project.

The time that each activity will take to completion.

The dependencies between the activities.

Basic rules

• Starting point and terminus• Arrows, circles• Activities time• ES,LS,EF,LF• Dummy

4 activities example

ES, EF, LF, LS

ES - earliest start time

EF- earliest finish time

LF- latest finish time

LS- latest start time

ES, EF, LF, LS Formulas

• Ei = ESij• Ej = EFij = ESij+tij• Li = LSij = LFij-tij• Lj = LFij

The time course analysis

→ TFij – total float, TFij = Lj-Ei-tij = LFij-ESij-tij→ FFij – free float, FFij = Ej-Ei-tij→ IFij – independent float IFij = Ej-Li-tij→ CFij – conditional float CFij = TFij-FFij

The time course analysis

The Forward pass (first phase) gives the turnaround time and the earliest possible occurence of events.

The Backward pass (second phase) gives the latest possible occurrence of events.

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References

Dr. Hajdú Miklós YMMF - Construction organization and management

Dr. Mályusz Levente BME - The CPM network

www.netmba.com/operations/project/cpm/

Thanks…