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A Tutorial on Integer Programming - Clemson University

A Tutorial on Integer ProgrammingG erard Cornu ejolsMichael A. TrickMatthew J. Saltzman1995 These notes are meant as an adjunct to Chapter 9 and 10 in Murty. Youare responsible for what appears in these notes as well as Sections { , { , , , in the Introduction22 Modeling with Integer CapitalBudgeting .. MultiperiodCapitalBudgeting .. Knapsack .. a Single-Constraint 0-1 IP to a KnapsackProblem .. and General Integer Knapsack Prob-lems .. TheLockboxProblem .. 133 Solving Integer RelationshiptoLinearProgramming .. BranchandBound.}}

1 Introduction Consider the manufacture of television sets. A linear programming model might give a production plan of 205.7 sets per week. In such a model, most people would have no trouble stating that production should be 205 sets per week (or even \roughly 200 sets per week"). On the other hand, suppose we

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