Scenario: XYZ Construction Ltd. has been contracted to build a small commercial office building. The project consists of multiple interdependent tasks, each with uncertain duration. Your goal is to analyse the project schedule using PERT and CPA methodologies. The project tasks, dependencies, and estimated durations (in weeks) are as follows: Predecessor(s) (M) Optimistic Most Likely Pessimistic (0) (P) None 6 9 Task Description A Site Preparation B Foundation Work JA Structural Framing D Electrical & Plumbing H Exterior Walls Roofing Interior Finishing Final Inspection & Handover G Tasks: 1. Construct a Project Network Diagram using the above task dependencies. 2. Calculate the expected time (TE) for each activity using the PERT formula: 3. Determine the Earliest Start (ES), Earliest Finish (EF), Latest Start (LS), and Latest Finish (LF) times for each task. 4. Identify the Critical Path and total project duration. 5. Compute the slack (float) time for each activity and indicate which tasks are non- critical. 6. Discuss how variations in activity duration might impact the project completion date. Provide a risk assessment based on your calculations. 7. Identify task for crashing: If the client wants to shorten the project duration by two weeks, which tasks would you recommend for crashing (reducing their duration) while minimizing extra costs?
Scenario: XYZ Construction Ltd. has been contracted to build a small commercial office building. The project consists of multiple interdependent tasks, each with uncertain duration. Your goal is to analyse the project schedule using PERT and CPA methodologies. The project tasks, dependencies, and estimated durations (in weeks) are as follows: Predecessor(s) (M) Optimistic Most Likely Pessimistic (0) (P) None 6 9 Task Description A Site Preparation B Foundation Work JA Structural Framing D Electrical & Plumbing H Exterior Walls Roofing Interior Finishing Final Inspection & Handover G Tasks: 1. Construct a Project Network Diagram using the above task dependencies. 2. Calculate the expected time (TE) for each activity using the PERT formula: 3. Determine the Earliest Start (ES), Earliest Finish (EF), Latest Start (LS), and Latest Finish (LF) times for each task. 4. Identify the Critical Path and total project duration. 5. Compute the slack (float) time for each activity and indicate which tasks are non- critical. 6. Discuss how variations in activity duration might impact the project completion date. Provide a risk assessment based on your calculations. 7. Identify task for crashing: If the client wants to shorten the project duration by two weeks, which tasks would you recommend for crashing (reducing their duration) while minimizing extra costs?
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 21P
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Transcribed Image Text:Scenario:
XYZ Construction Ltd. has been contracted to build a small commercial office building. The
project consists of multiple interdependent tasks, each with uncertain duration. Your goal is
to analyse the project schedule using PERT and CPA methodologies.
The project tasks, dependencies, and estimated durations (in weeks) are as follows:
Predecessor(s)
(M)
Optimistic Most Likely Pessimistic
(0)
(P)
None
6
9
Task
Description
A
Site Preparation
B
Foundation Work
JA
Structural Framing
D Electrical & Plumbing
H
Exterior Walls
Roofing
Interior Finishing
Final Inspection &
Handover
G
Tasks:
1. Construct a Project Network Diagram using the above task dependencies.
2. Calculate the expected time (TE) for each activity using the PERT formula:
3. Determine the Earliest Start (ES), Earliest Finish (EF), Latest Start (LS), and
Latest Finish (LF) times for each task.
4. Identify the Critical Path and total project duration.
5. Compute the slack (float) time for each activity and indicate which tasks are non-
critical.
6. Discuss how variations in activity duration might impact the project completion
date. Provide a risk assessment based on your calculations.
7. Identify task for crashing: If the client wants to shorten the project duration by two
weeks, which tasks would you recommend for crashing (reducing their duration)
while minimizing extra costs?
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