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A Tutorial on Integer Programming - Clemson University

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A Tutorial on Integer ProgrammingG erard Cornu ejolsMichael A. TrickMatthew J. Saltzman1995These 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.}}

These notes are meant as an adjunct to Chapter 9 and 10 in Murty. You are responsible for what appears in these notes as well as Sections 9.1{9.7, 10.1{10.3, 10.5, 10.6, 10.8 in the text. ... As in linear programming, our rst step is to decide on our variables. This can be much more di cult in integer programming because there are

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