6/05/2012

Linear Programming : Foundations and Extensions (International Series in Operations Research and Management Science, 4) (International Series in Operations Research & Management Science) Review

Linear Programming : Foundations and Extensions (International Series in Operations Research and Management Science, 4) (International Series in Operations Research and Management Science)
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Very clearly written. Unlike most math books, the notation is easy to understand for engineers and programmers. I found the free online version first, and then decided to buy the hard copy.

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This book focuses largely on constrained optimization. Itbegins with a substantial treatment of linear programming and proceedsto convex analysis, network flows, integer programming, quadraticprogramming, and convex optimization. Along the way, dynamicprogramming and the linear complementarity problem are touched on aswell. This book aims to be the first introduction to the topic. Specificexamples and concrete algorithms precede more abstract topics.Nevertheless, topics covered are developed in some depth, a largenumber of numerical examples worked out in detail, and many recentresults are included, most notably interior-point methods. Theexercises 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 tosolve practical problems on a computer. Accordingly, the book comeswith software that implements the major algorithms studied. At thispoint, software for the following four algorithms is available:
The two-phase simplex method
The primal-dualsimplex method
The path-following interior-point method
The homogeneous self-dual methods.£/LIST£.

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