A Project Scheduling Problem
Wireless Widgets is about to launch a new product: The Solar Widget. In order to guarantee the launch will occur on time, WW wants to perform a PERT analysis of the tasks leading up to the launch. Doing so will allow them to identify the critical path of tasks that must be completed on time in order to guarantee the Solar Widget's timely introduction. The tasks that must be accomplished before introduction and their anticipated times for completion are listed in the table below:
Task |
Weeks |
Finalize Design |
10 |
Forecast Demand |
14 |
Survey Competition |
3 |
Set Prices |
3 |
Schedule Production Run |
7 |
Cost Out |
4 |
Train Salesmen |
10 |
Certain of the tasks must be completed before others can commence. These precedence relations are shown in the following graph:
Product Launch Precedence Relations
For instance, the two arrows originating from the Forecast Demand node indicate the task must be completed before the Schedule Production Run and the Set Prices tasks may be started.
Our goal is to construct a PERT model for the Solar Widget's introduction in order to identify the tasks on the critical path.