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＜電子ブック＞
Linear Optimization and Extensions / by Manfred Padberg
(Algorithms and Combinatorics. ISSN:21976783 ; 12)

版	2nd ed. 1999.
出版者	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
出版年	1999
本文言語	英語
大きさ	XXI, 501 p : online resource
著者標目	*Padberg, Manfred author SpringerLink (Online service)
件　名	LCSH:Mathematical optimization LCSH:Discrete mathematics LCSH:Econometrics LCSH:Operations research LCSH:Calculus of variations FREE:Optimization FREE:Discrete Mathematics FREE:Quantitative Economics FREE:Operations Research and Decision Theory FREE:Calculus of Variations and Optimization
一般注記	The Linear Programming Problem -- Basic Concepts -- Five Preliminaries -- Simplex Algorithms -- Primal-Dual Pairs -- Analytical Geometry -- Projective Algorithms -- Ellipsoid Algorithms -- Combinatorial Optimization: An Introduction I was pleasantly surprised when I was asked by Springer-Verlag to prepare a second edition of this volume on Linear Optimization and Extensions, which - not exactly contrary to my personal expectations - has apparently been accepted reasonably weIl by the global optimization community. My objective in putting this book together was originally - and still is - to detail the major algorithmic ideas in linear optimization that have evolved in the past fifty years or so and that have changed the historical optimization "landscape" in substantial ways - both theoretically and computationally. While I may have overlooked the importance of some very recent developments - the work by Farid Alizadeh which generalizes linear programming to "sem i-definite" programming is perhaps a candidate for one of my omissions - I think that major new breakthraughs on those two fronts that interest me - theory and computation - have not occurred since this book was published originally. As a consequence I have restricted myself to a thorough re-working of the original manuscript with the goal of making it more readable. Of course, I have taken this opportunity to correct a few "Schönheitsfehler" of the first edition and to add some illustrations. The index to this volume has been extended substantially - to permit a hurried reader a quicker glance at the wealth of topics that were covered nevertheless already in the first edition. As was the case with the first edition, Dr HTTP:URL=https://doi.org/10.1007/978-3-662-12273-0

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