Chapter 15 Part 2 - Chapter 15 Goal Programming Part 2 Goal...

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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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Chapter 15 Part 2 - Chapter 15 Goal Programming Part 2 Goal...

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