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Unformatted text preview: Chapter 15 Goal Programming Part 2 Goal Programming Priorities Different levels for goals that give relative importance to the various goals (in addition to weights) P1 Represents highest priority P2 Represents next highest priority; satisfied next as long as there is no reduction in the achievement of P1 goal Goal Programming with Priorities Minimize Z = P1 d1 + P2 d2 Subject to: 2X1 + 3X2 <= 640 X1 + d1 d1 + = 200 X2 + d2 d2 + = 120 X1, X2 => d1 + , d1 , d2 + , d2 => Now the objective function includes priorities GP with Priorities We are a textile company and have the following constraints: ALL OF WHICH ARE GOAL CONSTRAINTS X1 + X2 + d1  d1+ = 80 hrs. Prod. Capacity X1 + d2  d2+ = 70 hrs. Upholstery X2 + d3  d3+ = 45 hrs. Dress material X1 + X2 + d4  d4+ = 90 hrs. Overtime GP with Priorities Objective Function: Min. Z = P1 d1 + P2 d4+ + P3 d2 + P3 d3 + P4 d1+ (with priorities but no weights) Min. Z = P1 d1 + P2 d4+ + 5P3 d2 + 3P3 d3 + P4 d1+ (with priorities AND weights) GP with Priorities...
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 Fall '08
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