Transcription of A Tutorial on Integer Programming - Clemson University
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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 .. CuttingPlaneTechniques.}}
The traditional story is that there is a knapsack (here of capacity 14). There are a number of items (here there are four items), each with a size and a value (here item 2 has size 7 and value 11). The objective is to maximize the total value of the items …
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