The department chair is eager to motivate the senior faculty to consider retirement and wants to burden them as much as possible. What should the model look like that otherwise meets departmental objectives?
What will be an ideal response?
Answer: Using the scheme Professor:Subject for decision variables, e.g. SI is Saba teaches Intro to Ops, Max Z = 3SI + 10SP + 12SQ + 16SC + 12SL + 7SM + 4GI + 19GP + 2GQ + 10GC + 8GL + 18GM +
5TI + 11TP + 4TQ + 14TC + 14TL + 3TM + 4DI + 11DP + 4DQ + 15DC + 17DL + 15DM
SI + SP + SQ + SC + SL + SM = 3
GI + GP + GQ + GC + GL + GM = 3
TI + TP + TQ + TC + TL + TM = 3
DI + DP + DQ + DC + DL + DM = 3
SI + GI + TI + DI ≥ 6
SP + GP + TP + DP = 1
SQ + GQ + TQ+ DQ = 1
SC + GC + TC + DC = 1
SL + GL + TL+ DL = 1
SM + GM + TM + DM = 1
The difference between this model and the benevolent chair model is that this is formulated to maximize prep time and assigns each professor a three-course load. The benevolent chair model minimizes prep time and allows for a two-course teaching load.
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