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AuthorPadberg, Manfred. author
TitleLinear Optimization and Extensions [electronic resource] / by Manfred Padberg
ImprintBerlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1999
Edition Second, Revised and Expanded Edition
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Descript XXI, 501 p. online resource


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 "Schรถnheitsfehler" 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


The Linear Programming Problem -- Basic Concepts -- Five Preliminaries -- Simplex Algorithms -- Primal-Dual Pairs -- Analytical Geometry -- Projective Algorithms -- Ellipsoid Algorithms -- Combinatorial Optimization: An Introduction

Mathematics Operations research Decision making Mathematical optimization Calculus of variations Discrete mathematics Combinatorics Economic theory Mathematics Optimization Discrete Mathematics Economic Theory/Quantitative Economics/Mathematical Methods Combinatorics Operation Research/Decision Theory Calculus of Variations and Optimal Control; Optimization


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