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Engineering Computer Science Information Technology Project Management

An Activity on Arrow(AOA) network diagram for a given sequence of project activities between different nodes. In the AOA network diagram, the arrow represents an activity which has starting point and an ending point. The starting and ending node points are in an activity diagram. The activity consumes time and other resources, which are shown by the arrow between two nodes. a. AOA network diagram representing the project: AOA diagram as shown below, here nodes are represented using circles, letter shows the activity and numbers denotes the estimated time. b. Identifying all the possible paths: There are 11 possible paths found in the AOA network diagram. The following shows the possible paths and their duration period in days. 1 . A → D → F → G → I → K → L = 10+4+6+4+6+8+10 = 48 days . 2 . A → D → F → H → K → L = 10+4+6+8+8+10 = 46 days . 3 . B → F → G → I → K → L = 12+6+4+6+8+10 = 46 days . 4 . B → F → H → K → L = 12+6+8+8+10 = 44 days . 5 . B → F → G → J = 12+6+4+12 = 34 days . 6 . A → D → F → G → J = 10+4+6+4+12 = 36 days . 7 . A → E → I → K → L = 10+8+6+8+10 = 42 days . 8 . A → E → J = 10+8+12 = 30 days . 9 . C → H → K → L = 6+8+8+10 = 32 days . 10 . C → G → I → K → L = 6+4+6+8+10 = 34 days . 11 . C → G → J = 6+4+12 = 22 days . c. Critical path and its duration: The critical path is the longest path in the projects. Therefore, the longest path in the project is “ A → D → F → G → I → K → L ” with the duration of 48 days. Hence, the critical path of the project corresponds to 48 days. d. Shortest possible time: The shortest possible time needed to complete the project is 22 days. The corresponding path for shortest possible time is “ C → G → J ”.

An Activity on Arrow(AOA) network diagram for a given sequence of project activities between different nodes. In the AOA network diagram, the arrow represents an activity which has starting point and an ending point. The starting and ending node points are in an activity diagram. The activity consumes time and other resources, which are shown by the arrow between two nodes. a. AOA network diagram representing the project: AOA diagram as shown below, here nodes are represented using circles, letter shows the activity and numbers denotes the estimated time. b. Identifying all the possible paths: There are 11 possible paths found in the AOA network diagram. The following shows the possible paths and their duration period in days. 1 . A → D → F → G → I → K → L = 10+4+6+4+6+8+10 = 48 days . 2 . A → D → F → H → K → L = 10+4+6+8+8+10 = 46 days . 3 . B → F → G → I → K → L = 12+6+4+6+8+10 = 46 days . 4 . B → F → H → K → L = 12+6+8+8+10 = 44 days . 5 . B → F → G → J = 12+6+4+12 = 34 days . 6 . A → D → F → G → J = 10+4+6+4+12 = 36 days . 7 . A → E → I → K → L = 10+8+6+8+10 = 42 days . 8 . A → E → J = 10+8+12 = 30 days . 9 . C → H → K → L = 6+8+8+10 = 32 days . 10 . C → G → I → K → L = 6+4+6+8+10 = 34 days . 11 . C → G → J = 6+4+12 = 22 days . c. Critical path and its duration: The critical path is the longest path in the projects. Therefore, the longest path in the project is “ A → D → F → G → I → K → L ” with the duration of 48 days. Hence, the critical path of the project corresponds to 48 days. d. Shortest possible time: The shortest possible time needed to complete the project is 22 days. The corresponding path for shortest possible time is “ C → G → J ”.

Information Technology Project Management

Information Technology Project Management

9th Edition

ISBN: 9781337101356

Author: Kathy Schwalbe

Publisher: Cengage Learning

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Chapter 6, Problem 2E

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Draw an Activity-On-Arrow (AOA) network diagram representing the project. Put the node numbers in circles and draw arrows from node to node, labelling each arrow with the activity letter and estimated duration

1. Draw an Activity-On-Arrow (AOA) network diagram representing the project. Put the node numbers in circles and draw arrows from node to node, labelling each arrow with the activity letter and estimated duration. 2. Identify all the paths on the network diagram and note how long they are. 3. What is the critical path for this project and how long is it? 4. What is the shortest possible time needed to complete the project?

Using an application of your choice: Draw a network diagram for this project, clearly showing the Activity ID and Activity duration

Chapter 6 Solutions

Information Technology Project Management

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