James Walters manages at Athabasca UniversityProject Crash Example

Problem Data

It is required to calculate the crash schedule of the activities in order to reduce the time of the project, according to the following data:

Number of Activities
5
Target Time
8
Time Unit
Days
Description
James Walters manages at Athabasca UniversityWhat is the minimum cost of crashing by four days the following project that James Walters manages at Athabasca University?
Table of Activities
ActivityImmediate Predecessor(s)Normal Time (Days)Crash Time (Days)Normal Cost (\$)Crash Cost (\$)
A659001000
B86300400
C43500600
DA539001200
EC8510001600

Solution

The following are the calculations and detailed graphs to obtain the critical path according to the data provided:

Step 1: Proyecto con tiempos normales

Network Diagram

The following chart shows the project activities, calculated with normal times:

The activities in red represent the critical path.

Normal Project Time Table

The following table presents the times for each activity. The critical path activities are highlighted in green.
ActivityTimeEarly Start (ES)Early Finish (EF)Late Start (LS)Late Finish (LF)Slack (S)
A606171
B8084124
C404040
D56117121
E84124120

The critical path of the project is: C → E

The total time of the project (with normal times) is 12 Days

Since the project is required to be completed within 8 Days, some activities must be crashed to meet the goal. The procedure will be detailed in the next step.

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