LP_modeling_examples_1

LP_modeling_examples_1 - LPModeling...

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LP Modeling Examples discussed in class
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Example: Basketball Team Selection Coach Jack is trying to choose the starting line-up for the basketball team. The team consists of seven players who have been rated (on a scale of 1=poor to 3=excellent) according to their ball- handling, shooting, rebounding, and defensive abilities. The positions that each player is allowed to play and the player’s abilities are listed in the following table: The five-player starting line-up must satisfy the following restrictions: 1. At least 4 members must be able to play guard, at least 2 members must be able to play forward, and at least 1 member must be able to play centre. 2. The average ball-handling, shooting, and rebounding level of the starting line-up must be at least 2. 3. If player 3 starts, then player 6 cannot start. 4. If player 1 starts, then player 4 and 5 must both start. 5. Either player 2 or player 3, or both, must start. Given these constraints, Coach Jack wants to maximize the total defensive ability of the starting team. Formulate an IP that will help him choose his starting team. 2 MSci603z—Fall2008-- ©Obeidi
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3 Categorization of OR MSci603z—Fall2008-- ©Obeidi
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4 The General Structure of a Mathematical Model Uncontrollable Uncontrollable factors factors (parameters) (parameters) Mathematical relationships Independent Independent (decision) (decision) variables variables Dependent Dependent variables variables Inputs Output ©Obeidi
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5 A Simplified Model of a Manufacturing Situation
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LP_modeling_examples_1 - LPModeling...

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