Draw the PERT network associated with the following project: Activity Immediate Predecessor(s) A B C D E F G H A A B B C D E, F

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter87: An Introduction To G- And M-codes For Cnc Programming
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Problem 10A
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### Activity Network for Project Management

### Construction of PERT Network:

To effectively manage a project and understand the sequence of activities and their dependencies, a Program Evaluation Review Technique (PERT) network is essential. Below is the list of activities and their immediate predecessors, which form the foundation for drawing the PERT network.

#### Activity and Immediate Predecessor(s):

```
| Activity | Immediate Predecessor(s) |
|----------|--------------------------|
| A        | -                        |
| B        | A                        |
| C        | A                        |
| D        | B                        |
| E        | B                        |
| F        | C                        |
| G        | D                        |
| H        | E, F                     |
```

### Explanation:

1. **Activity A** has no immediate predecessors, meaning it is the starting point of the project.
2. **Activity B** can only start after Activity A is completed.
3. **Activity C** also depends on the completion of Activity A.
4. **Activity D** requires Activity B to be finished before it can be initiated.
5. **Activity E** like Activity D, depends on the completion of Activity B.
6. **Activity F** can only start after Activity C is completed.
7. **Activity G** requires Activity D to be completed.
8. **Activity H** can only start after both Activities E and F are completed.

### How to Draw the PERT Network:

1. **Start Node**: Begin with the initiation node representing the start of Activity A.
2. **Nodes and Arrows**: 
    - Draw an arrow from the start node to a node representing Activity A.
    - From Activity A, draw arrows leading to two separate nodes: B and C. 
    - From B, draw arrows leading to two separate nodes: D and E.
    - From C, draw an arrow leading to a node for Activity F.
    - From D, draw an arrow leading to a node for Activity G.
    - Finally, draw arrows from both E and F, leading to a final node representing Activity H.
3. **End Node**: Mark the end node after Activity H completion.

The resulting diagram should visually encapsulate the dependencies as listed and allow one to visually sequence and plan the project efficiently.
Transcribed Image Text:### Activity Network for Project Management ### Construction of PERT Network: To effectively manage a project and understand the sequence of activities and their dependencies, a Program Evaluation Review Technique (PERT) network is essential. Below is the list of activities and their immediate predecessors, which form the foundation for drawing the PERT network. #### Activity and Immediate Predecessor(s): ``` | Activity | Immediate Predecessor(s) | |----------|--------------------------| | A | - | | B | A | | C | A | | D | B | | E | B | | F | C | | G | D | | H | E, F | ``` ### Explanation: 1. **Activity A** has no immediate predecessors, meaning it is the starting point of the project. 2. **Activity B** can only start after Activity A is completed. 3. **Activity C** also depends on the completion of Activity A. 4. **Activity D** requires Activity B to be finished before it can be initiated. 5. **Activity E** like Activity D, depends on the completion of Activity B. 6. **Activity F** can only start after Activity C is completed. 7. **Activity G** requires Activity D to be completed. 8. **Activity H** can only start after both Activities E and F are completed. ### How to Draw the PERT Network: 1. **Start Node**: Begin with the initiation node representing the start of Activity A. 2. **Nodes and Arrows**: - Draw an arrow from the start node to a node representing Activity A. - From Activity A, draw arrows leading to two separate nodes: B and C. - From B, draw arrows leading to two separate nodes: D and E. - From C, draw an arrow leading to a node for Activity F. - From D, draw an arrow leading to a node for Activity G. - Finally, draw arrows from both E and F, leading to a final node representing Activity H. 3. **End Node**: Mark the end node after Activity H completion. The resulting diagram should visually encapsulate the dependencies as listed and allow one to visually sequence and plan the project efficiently.
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ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,