You are responsible for scheduling the activities required for construction of a small commercial establishment. These activities, the expected duration of each, and an indication of which other activities must precede each are shown in the tab le below:
Job | Description | Duration | Must follow .lob (s) |
1 | Land leveling and excavation | 9 | — |
2 | Pour retaining walls and foundation | 7 | 1 |
3 | Install basement support structure | 5 | 2 |
4 | Install floor joists | 3 | 2 |
5 | Construct exterior walls | 6 | 3, 4 |
6 | Install walls and flooring | 7 | 4 |
7 | Install ceiling/roof superstructure | 4 | 5, 6 |
8 | Install electrical/mechanical/plumbing | 9 | 6 |
9 | Rough finish interior (wallboard. etc.) | 7 | 6 |
10 | Install roofing material | 5 | 7 |
11 | Finish interior | 8 | 9 |
12 | Landscaping | 11 | 1 |
For example, construction of the exterior walls of the facility is estimated to take six crew days., and may not begin until the basement support structure has been completed—Job 3—and the floor joists have been installed—Job 4.
Formulate a linear program that will determine the starting time for each individual activity such that the facility may be in operation as soon as possible.
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