Discrete Optimization
( Computer Science and Scientific Computing )
Publication series ：Computer Science and Scientific Computing
Author： Parker R. Gary;Rardin Ronald L.
Publisher： Elsevier Science
Publication year： 2014
E-ISBN: 9781483294803
P-ISBN(Paperback): 9780125450751
P-ISBN(Hardback): 9780125450751
Subject： O224 mathematical optimization theory
Keyword： 数学
Language： ENG
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Description
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.