Minimize the sequence total completion time


Problem: Flash Fasttrack (associate dean of janitorial services at Wombat University must schedule the regular maintenance by his janitorial engineers. There are two crews: sweeping crew and waxing crew. Union rules prohibit sweepers from waxing and waxers from sweeping. A building's floors must first be swept before they can be waxed. Flash must schedule the order in which maintenance crews will visit each of Wombat U's six buildings. He wishes to minimize the sequence's total completion time. Times required to sweep and wax each building are as follows:

Building          Sweeping Time (hrs)    Waxing Time (hrs)
Astronomy                 18                            10
Biology                       8                              9
Chemistry                  26                            13
Drama                       15                            16
English                       17                            20
Foreign Language        12                            17

Q1. Schedule the crews through the buildings.

Q2. When will the waxing crew start and stop work in the chemistry building?

Q3. During the schedule, for how much time are sweepers and waxers available for other activities?

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Other Management: Minimize the sequence total completion time
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