The first day on the cruise was a "day at sea" meaning no port of call, and only the amenities onboard for amusement. Restless and uncomfortably full after seven trips through the buffet, the management scientist gambled away most of his vacation
money at the onboard casino. The excursions would be a necessity, but now it became less important to maximize the joy of the excursions and more vital to get off the boat as cheaply as possible while still staying busy at the three ports of call. What is an appropriate model for this modified cruise vacation?
Answer: Using the scheme of location (J, C, or G) and excursion (S, P, H, L, Te or Tu), the objective function should be expressed as:
Min Z = 100JS + 95JP + 120JH + 60JL + 110CS + 55CP + 70CH + 90CL + 130CTe + 90GS + 60GP + 110GH + 130GL + 95GTu
subject to:
100JS + 95JP + 120JH + 60JL + 110CS + 55CP + 70CH + 90CL + 130CTe + 90GS + 60GP + 110GH + 130GL + 95GTu ≤ 250
JS + JP + JH + JL = 1
CS + CP + CH + CL + CTe = 1
GS + GP + GH + GL + GTu = 1
JS + CS + GS ≤ 1
JP + CP + GP ≤1
JH + CH + GH ≤1
JL + CL + GL ≤1
JS, JP, JH, JL, CS, CP, CH, CL, CTe, GS, GP, GH, GL, GTu are 0,1
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