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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.}}

the optimal solution to the knapsack problem. Nevertheless, it will play an important role in the solution of the problem by branch and bound as we will see shortly. 2.2.1 Converting a Single-Constraint 0-1 IP to a Knapsack Prob-lem The nonnegativity requirement on the coe cients in the knapsack problem is not really a restriction.

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