Discrete Optimization, PDF eBook

Discrete Optimization PDF

Part of the Computer Science and Scientific Computing series

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This book treats the fundamental issues and algorithmic strategies emerging as the core of the discipline of discrete optimization in a comprehensive and rigorous fashion.

Following an introductory chapter on computational complexity, the basic algorithmic results for the two major models of polynomial algorithms are introduced--models using matroids and linear programming.

Further chapters treat the major non-polynomial algorithms: branch-and-bound and cutting planes.

The text concludes with a chapter on heuristic algorithms.Several appendixes are included which review the fundamental ideas of linear programming, graph theory, and combinatorics--prerequisites for readers of the text.

Numerous exercises are included at the end of each chapter.

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