50 Years of Integer Programming 1958-2008 : From the Early Years to the State-of-the-Art / edited by Michael Jünger, Thomas M. Liebling, Denis Naddef, George L. Nemhauser, William R. Pulleyblank, Gerhard Reinelt, Giovanni Rinaldi, Laurence A. Wolsey
| データ種別 | 電子ブック |
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| 出版情報 | Berlin, Heidelberg : Springer Berlin Heidelberg , 2010 |
| 本文言語 | 英語 |
| 大きさ | XX, 804 p. 151 illus., 52 illus. in color : online resource |
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| 内容注記 | I The Early Years Solution of a Large-Scale Traveling-Salesman Problem The Hungarian Method for the Assignment Problem Integral Boundary Points of Convex Polyhedra Outline of an Algorithm for Integer Solutions to Linear Programs An Algorithm for the Mixed Integer Problem An Automatic Method for Solving Discrete Programming Problems Integer Programming: Methods, Uses, Computation Matroid Partition Reducibility Among Combinatorial Problems Lagrangian Relaxation for Integer Programming Disjunctive Programming II From the Beginnings to the State-of-the-Art Polyhedral Approaches to Mixed Integer Linear Programming Fifty-Plus Years of Combinatorial Integer Programming Reformulation and Decomposition of Integer Programs III Current Topics Integer Programming and Algorithmic Geometry of Numbers Nonlinear Integer Programming Mixed Integer Programming Computation Symmetry in Integer Linear Programming Semidefinite Relaxations for Integer Programming The Group-Theoretic Approach in Mixed Integer Programming |
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| 一般注記 | In 1958, Ralph E. Gomory transformed the field of integer programming when he published a short paper that described his cutting-plane algorithm for pure integer programs and announced that the method could be refined to give a finite algorithm for integer programming. In January of 2008, to commemorate the anniversary of Gomory's seminal paper, a special session celebrating fifty years of integer programming was held in Aussois, France, as part of the 12th Combinatorial Optimization Workshop. This book is based on the material presented during this session. 50 Years of Integer Programming offers an account of featured talks at the 2008 Aussois workshop, namely - Michele Conforti, Gérard Cornuéjols, and Giacomo Zambelli: Polyhedral Approaches to Mixed Integer Linear Programming - William Cook: 50+ Years of Combinatorial Integer Programming - Francois Vanderbeck and Laurence A. Wolsey: Reformulation and Decomposition of Integer Programs The book contains reprints of key historical articles together with new introductions and historical perspectives by the authors: Egon Balas, Michel Balinski, Jack Edmonds, Ralph E. Gomory, Arthur M. Geoffrion, Alan J. Hoffman & Joseph B. Kruskal, Richard M. Karp, Harold W. Kuhn, and Ailsa H. Land & Alison G. Doig. It also contains written versions of survey lectures on six of the hottest topics in the field by distinguished members of the integer programming community: - Friedrich Eisenbrand: Integer Programming and Algorithmic Geometry of Numbers - Raymond Hemmecke, Matthias Köppe, Jon Lee, and Robert Weismantel: Nonlinear Integer Programming - Andrea Lodi: Mixed Integer Programming Computation - Francois Margot: Symmetry in Integer Linear Programming - Franz Rendl: Semidefinite Relaxations for Integer Programming - Jean-Philippe P. Richard and Santanu S. Dey: The Group-Theoretic Approach to Mixed Integer Programming Integer programming holds great promise for the future, and continues to build on its foundations. Indeed, Gomory's finite cutting-plane method for the pure integer case is currently being reexamined and is showing new promise as a practical computational method. This book is a uniquely useful celebration of the past, present and future of this important and active field. Ideal for students and researchers in mathematics, computer science and operations research, it exposes mathematical optimization, in particular integer programming and combinatorial optimization, to a broad audience |
| 著者標目 | Jünger, Michael editor Liebling, Thomas M. editor Naddef, Denis editor Nemhauser, George L. editor Pulleyblank, William R. editor Reinelt, Gerhard editor Rinaldi, Giovanni editor Wolsey, Laurence A. editor SpringerLink (Online service) |
| 件 名 | LCSH:Mathematics LCSH:Operations research LCSH:Decision making LCSH:Computer science -- Mathematics 全ての件名で検索 LCSH:Mathematical optimization LCSH:Combinatorics FREE:Mathematics FREE:Combinatorics FREE:Optimization FREE:Discrete Mathematics in Computer Science FREE:Operation Research/Decision Theory |
| 分 類 | DC23:511.6 |
| 巻冊次 | ISBN:9783540682790 
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| ISBN | 9783540682790 |
| URL | http://dx.doi.org/10.1007/978-3-540-68279-0 |
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