ES Dur LS EF FF TF LF 4. Construct an activity-on-branch network from the precedence relationships of activities in the project given in the table below. For the network, determine slack for each task and the critical path. Activity A B C D E F GHIJKLMNO Predecessors AA B C,D C,D DHFE,J F G,IG,IL,N Duration 6 7 1 14 58 9 3534 126 27

Residential Construction Academy: House Wiring (MindTap Course List)
4th Edition
ISBN:9781285852225
Author:Gregory W Fletcher
Publisher:Gregory W Fletcher
Chapter1: Residential Workplace Safety
Section: Chapter Questions
Problem 27RQ
Question
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Engineering project management problem 
**Activity-on-Branch Network Construction**

The task is to construct an activity-on-branch network using the precedence relationships of activities provided in the project table below. The objective is to determine the slack for each task and identify the critical path.

**Table of Activities**

| Activity | A | B | C | D | E | F | G | H | I | J | K | L | M | N | O |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Predecessors | -- | A | A | B, C | D, C | D | H, F | E, J | G, I | G | L | G | L, N | |
| Duration | 6 | 7 | 1 | 14 | 5 | 8 | 9 | 3 | 5 | 3 | 5 | 4 | 1 | 6 | 2 | 7 |

The table outlines the activities, their respective predecessors, and durations. Each activity is represented by a letter and associated with specific tasks that must wait for the completion of preceding activities.

**Instructions for Network Construction**

1. Begin by identifying activities with no predecessors (such as Activity A).
2. Progressively build the network by connecting each activity to its successors based on the given precedence conditions.
3. Calculate the earliest and latest start and finish times for each activity to identify potential slacks.
4. Determine the critical path, which consists of activities with zero slack, indicating the sequence of tasks dictating the project duration. 

Using this information, construct the activity-on-branch diagram to visualize the project timeline and dependencies, aiding in effective project management and planning.
Transcribed Image Text:**Activity-on-Branch Network Construction** The task is to construct an activity-on-branch network using the precedence relationships of activities provided in the project table below. The objective is to determine the slack for each task and identify the critical path. **Table of Activities** | Activity | A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | |---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---| | Predecessors | -- | A | A | B, C | D, C | D | H, F | E, J | G, I | G | L | G | L, N | | | Duration | 6 | 7 | 1 | 14 | 5 | 8 | 9 | 3 | 5 | 3 | 5 | 4 | 1 | 6 | 2 | 7 | The table outlines the activities, their respective predecessors, and durations. Each activity is represented by a letter and associated with specific tasks that must wait for the completion of preceding activities. **Instructions for Network Construction** 1. Begin by identifying activities with no predecessors (such as Activity A). 2. Progressively build the network by connecting each activity to its successors based on the given precedence conditions. 3. Calculate the earliest and latest start and finish times for each activity to identify potential slacks. 4. Determine the critical path, which consists of activities with zero slack, indicating the sequence of tasks dictating the project duration. Using this information, construct the activity-on-branch diagram to visualize the project timeline and dependencies, aiding in effective project management and planning.
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