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Robert J Vanderbei

International Operations Research & Management Science: Linear Programming: Foundations and Extensions (Paperback)

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This book focuses largely on constrained optimization. It begins with a substantial treatment of linear programming and proceeds to convex analysis, network flows, integer programming, quadratic programming, and convex optimization. Along the way, dynamic programming and the linear complementarity problem are touched on as well. <br /> This book aims to be the first introduction to the topic. Specific examples and concrete algorithms precede more abstract topics. Nevertheless, topics covered are developed in some depth, a large number of numerical examples worked out in detail, and many recent results are included, most notably interior-point methods. The exercises at the end of each chapter both illustrate the theory, and, in some cases, extend it. <br /> Optimization is not merely an intellectual exercise: its purpose is to solve practical problems on a computer. Accordingly, the book comes with software that implements the major algorithms studied. At this point, software for the following four algorithms is available: <li>The two-phase simplex method </li> <li>The primal-dual simplex method </li> <li>The path-following interior-point method </li> <li>The homogeneous self-dual methods.&pound;/LIST&pound;.</li>

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This book focuses largely on constrained optimization. It begins with a substantial treatment of linear programming and proceeds to convex analysis, network flows, integer programming, quadratic programming, and convex optimization. Along the way, dynamic programming and the linear complementarity problem are touched on as well.
This book aims to be the first introduction to the topic. Specific examples and concrete algorithms precede more abstract topics. Nevertheless, topics covered are developed in some depth, a large number of numerical examples worked out in detail, and many recent results are included, most notably interior-point methods. The exercises at the end of each chapter both illustrate the theory, and, in some cases, extend it.
Optimization is not merely an intellectual exercise: its purpose is to solve practical problems on a computer. Accordingly, the book comes with software that implements the major algorithms studied. At this point, software for the following four algorithms is available:
  • The two-phase simplex method
  • The primal-dual simplex method
  • The path-following interior-point method
  • The homogeneous self-dual methods.£/LIST£.
  • International Operations Research & Management Science: Linear Programming: Foundations and Extensions (Paperback)

    Specifications

    Series Title
    International Operations Research & Management Science
    Publisher
    Springer Us
    Book Format
    Paperback
    Number of Pages
    418
    Author
    Robert J Vanderbei
    ISBN-13
    9780792381419
    Publication Date
    March, 1998
    Assembled Product Dimensions (L x W x H)
    9.00 x 6.00 x 1.50 Inches
    ISBN-10
    0792381416

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