# 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 University**What is the minimum cost of crashing by four days the following project that James Walters manages at Athabasca University?- Table of Activities
Activity Immediate Predecessor(s) Normal Time (Days) Crash Time (Days) Normal Cost ($) Crash Cost ($) A 6 5 900 1000 B 8 6 300 400 C 4 3 500 600 D A 5 3 900 1200 E C 8 5 1000 1600

## 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**

Activity | Time | Early Start (ES) | Early Finish (EF) | Late Start (LS) | Late Finish (LF) | Slack (S) |
---|---|---|---|---|---|---|

A | 6 | 0 | 6 | 1 | 7 | 1 |

B | 8 | 0 | 8 | 4 | 12 | 4 |

C | 4 | 0 | 4 | 0 | 4 | 0 |

D | 5 | 6 | 11 | 7 | 12 | 1 |

E | 8 | 4 | 12 | 4 | 12 | 0 |

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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