Book 2014

Linear Programming Computation

Authors:

ISBN: 978-3-642-40753-6 (Print) 978-3-642-40754-3 (Online)

Table of contents (25 chapters)

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  1. Front Matter

    Pages i-xviii

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    Chapter

    Pages 1-24

    Introduction

  3. Fundamentals

    1. Front Matter

      Pages 25-25

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      Chapter

      Pages 27-60

      Geometry of the Feasible Region

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      Chapter

      Pages 61-100

      Simplex Method

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      Chapter

      Pages 101-121

      Duality Principle and Dual Simplex Method

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      Chapter

      Pages 123-141

      Implementation of the Simplex Method

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      Chapter

      Pages 143-167

      Sensitivity Analysis and Parametric LP

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      Chapter

      Pages 169-203

      Variants of the Simplex Method

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      Chapter

      Pages 205-238

      Decomposition Method

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      Chapter

      Pages 239-273

      Interior-Point Method

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      Chapter

      Pages 275-294

      Integer Linear Programming (ILP)

  4. Advanced Topics

    1. Front Matter

      Pages 295-295

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      Chapter

      Pages 297-309

      Pivot Rule

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      Chapter

      Pages 311-319

      Dual Pivot Rule

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      Chapter

      Pages 321-339

      Simplex Phase-I Method

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      Chapter

      Pages 341-356

      Dual Simplex Phase-l Method

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      Chapter

      Pages 357-385

      Reduced Simplex Method

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      Chapter

      Pages 387-407

      Improved Reduced Simplex Method

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      Chapter

      Pages 409-440

      D-Reduced Simplex Method

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      Chapter

      Pages 441-460

      Criss-Cross Simplex Method

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      Chapter

      Pages 461-501

      Generalizing Reduced Simplex Method

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      Chapter

      Pages 503-534

      Deficient-Basis Method

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