What do these constraints accomplish in the model and which ones are necessary?
The vacationing management scientist sat down at his computer keyboard, cracked his knuckles and decided on the scheme of location (J, C, or G) and excursion (S, P, H, L, Te or Tu), for his decision variables. He wrote constraints that read:
JS + JP + JH + JL + CS + CP + CH + CL + CTe + GS + GP + GH + GL + GTu ? 3
JS + JP + JH + JL ? 1
CS + CP + CH + CL + CTe?1
GS + GP + GH + GL + GTu ? 1
What will be an ideal response?
Answer: The first constraint limits the total number of excursions to 3.
JS + JP + JH + JL + CS + CP + CH + CL + CTe + GS + GP + GH + GL + GTu ≤ 3
The second through the fourth constraints limit the excursions at each one of the ports to 1.
JS + JP + JH + JL ≤ 1
CS + CP + CH + CL + CTe ≤ 1
GS + GP + GH + GL + GTu ≤ 1
The first constraint doesn't help the model and can be eliminated. If it were used in place of constraints 2 through 4, the model might suggest taking all three excursions at one port of call, which would be impossible.
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