In: Operations Management
Consider the following table of activities A through E in which A is the start node and E is the stop node. Assume the project starts on Monday, May 4, 2020 and no work is done on weekends (Saturday and Sunday). All activities require the same resource. Assume no working-day holidays during the months of May and June—no Memorial Day holiday, for example.
Activity | Duration (days) | Predecessor |
A | 5 | -- |
B | 5 | A |
C | 10 | A |
D | 4 | A |
E | 5 | B, C, D |
On a piece of scratch paper, draw the early-start Gantt Chart
associated with this table. Assume the project is
resource-constrained but not time-constrained. Assume only one
resource is available and that resource can only do one activity at
a time. Given that the Month of May has 31 days, what would be the
completion date for the project?
Monday, June 8, 2020
Wednesday, June 10, 2020
Friday, June 5, 2020
Thursday, June 11, 2020
Thursday, June 4, 2020
ANSWER: Thursday, June 11, 2020
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Explanation:
Gantt chart based on Early Start and Finish times is following:
In the above Gantt chart, we see that there is resource over-load in periods 6 to 10
Resource over-load is because activities B,C,D are scheduled to start on the same day and occur concurrently.
We need to schedule them sequentially
Resulting Gantt chart is following:
Total number of working days to complete the project = 29 working days
Considering 5 working days per week and starting date of May 4, 2020
Completion date is:
Thursday, June 11, 2020