Mathematical Programming In Theory And Practice
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Mathematical Programming In Theory And Practice
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Author :
language : es
Publisher:
Release Date : 1974
Mathematical Programming In Theory And Practice written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with categories.
Mathematical Programming In Theory And Practice
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Author : Peter L. Hammer
language : en
Publisher:
Release Date : 1974
Mathematical Programming In Theory And Practice written by Peter L. Hammer and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with Mathematics categories.
Mathematical Programming In Theory And Practice
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Author : P. L. Hammer
language : en
Publisher:
Release Date : 1974
Mathematical Programming In Theory And Practice written by P. L. Hammer and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with Programming (Mathematics) categories.
Mathematical Programming In The Theory And Practice
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Author : NATO. Advanced Study Institute (
language : en
Publisher:
Release Date : 1974
Mathematical Programming In The Theory And Practice written by NATO. Advanced Study Institute ( and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with categories.
Optimization Theory And Practice
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Author : Gordon S. G. Beveridge
language : en
Publisher: McGraw-Hill Companies
Release Date : 1970
Optimization Theory And Practice written by Gordon S. G. Beveridge and has been published by McGraw-Hill Companies this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with Mathematics categories.
"In general, this presentation demonstrates the interrelationships between the various facets of optimization. These aspects range from the differential calculus through direct search and mathematical programming techniques to the more specialized game theory and decision theory required when competition is present. The integrated approach is seen, for instance, in the discussion of multidimensional numerical search techniques . Each search may be characterized by the two essential features of a distance and direction of movement. These, together with a further classification based on whether or not the gradient is required, have provided the framework within which search methods are presented. In this context the similarities and differences, the advantages and disadvantages, and the range of applicabilities and failures of all search techniques can be clearly understood. Thus such well-known search methods as Rosen's gradient projection and Zoutendijk's feasible directions are seen to stem from the same basic concept, namely, local linearization. A second example of the interrelationship of methods is the evolution from the Lagrangian formulation of such diverse techniques as the so-called discrete maximum principle, the maximum principle of Pontryagin, duals in linear problems, the Kuhn-Tucker conditions, steepest ascent, the gradient projection, and other important techniques."--Preface.
Progress In Mathematical Programming
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Author : Nimrod Megiddo
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Progress In Mathematical Programming written by Nimrod Megiddo and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
The starting point of this volume was a conference entitled "Progress in Mathematical Programming," held at the Asilomar Conference Center in Pacific Grove, California, March 1-4, 1987. The main topic of the conference was developments in the theory and practice of linear programming since Karmarkar's algorithm. There were thirty presentations and approximately fifty people attended. Presentations included new algorithms, new analyses of algorithms, reports on computational experience, and some other topics related to the practice of mathematical programming. Interestingly, most of the progress reported at the conference was on the theoretical side. Several new polynomial algorithms for linear program ming were presented (Barnes-Chopra-Jensen, Goldfarb-Mehrotra, Gonzaga, Kojima-Mizuno-Yoshise, Renegar, Todd, Vaidya, and Ye). Other algorithms presented were by Betke-Gritzmann, Blum, Gill-Murray-Saunders-Wright, Nazareth, Vial, and Zikan-Cottle. Efforts in the theoretical analysis of algo rithms were also reported (Anstreicher, Bayer-Lagarias, Imai, Lagarias, Megiddo-Shub, Lagarias, Smale, and Vanderbei). Computational experiences were reported by Lustig, Tomlin, Todd, Tone, Ye, and Zikan-Cottle. Of special interest, although not in the main direction discussed at the conference, was the report by Rinaldi on the practical solution of some large traveling salesman problems. At the time of the conference, it was still not clear whether the new algorithms developed since Karmarkar's algorithm would replace the simplex method in practice. Alan Hoffman presented results on conditions under which linear programming problems can be solved by greedy algorithms."
Mathematical Reviews
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Author :
language : en
Publisher:
Release Date : 2003
Mathematical Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Mathematics categories.
Potential Function Methods For Approximately Solving Linear Programming Problems Theory And Practice
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Author : Daniel Bienstock
language : en
Publisher: Springer
Release Date : 2013-03-26
Potential Function Methods For Approximately Solving Linear Programming Problems Theory And Practice written by Daniel Bienstock and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-26 with Mathematics categories.
Potential Function Methods For Approximately Solving Linear Programming Problems breaks new ground in linear programming theory. The book draws on the research developments in three broad areas: linear and integer programming, numerical analysis, and the computational architectures which enable speedy, high-level algorithm design. During the last ten years, a new body of research within the field of optimization research has emerged, which seeks to develop good approximation algorithms for classes of linear programming problems. This work both has roots in fundamental areas of mathematical programming and is also framed in the context of the modern theory of algorithms. The result of this work, in which Daniel Bienstock has been very much involved, has been a family of algorithms with solid theoretical foundations and with growing experimental success. This book will examine these algorithms, starting with some of the very earliest examples, and through the latest theoretical and computational developments.
Interior Point Methods Of Mathematical Programming
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Author : Tamás Terlaky
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-12-01
Interior Point Methods Of Mathematical Programming written by Tamás Terlaky and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-01 with Mathematics categories.
One has to make everything as simple as possible but, never more simple. Albert Einstein Discovery consists of seeing what every body has seen and thinking what nobody has thought. Albert S. ent_Gyorgy; The primary goal of this book is to provide an introduction to the theory of Interior Point Methods (IPMs) in Mathematical Programming. At the same time, we try to present a quick overview of the impact of extensions of IPMs on smooth nonlinear optimization and to demonstrate the potential of IPMs for solving difficult practical problems. The Simplex Method has dominated the theory and practice of mathematical pro gramming since 1947 when Dantzig discovered it. In the fifties and sixties several attempts were made to develop alternative solution methods. At that time the prin cipal base of interior point methods was also developed, for example in the work of Frisch (1955), Caroll (1961), Huard (1967), Fiacco and McCormick (1968) and Dikin (1967). In 1972 Klee and Minty made explicit that in the worst case some variants of the simplex method may require an exponential amount of work to solve Linear Programming (LP) problems. This was at the time when complexity theory became a topic of great interest. People started to classify mathematical programming prob lems as efficiently (in polynomial time) solvable and as difficult (NP-hard) problems. For a while it remained open whether LP was solvable in polynomial time or not. The break-through resolution ofthis problem was obtained by Khachijan (1989).
Optimization Theory And Practice
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Author : Wilhelm Forst
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-07-26
Optimization Theory And Practice written by Wilhelm Forst and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-07-26 with Mathematics categories.
Optimization is a field important in its own right but is also integral to numerous applied sciences, including operations research, management science, economics, finance and all branches of mathematics-oriented engineering. Constrained optimization models are one of the most widely used mathematical models in operations research and management science. This book gives a modern and well-balanced presentation of the subject, focusing on theory but also including algorithims and examples from various real-world applications. Detailed examples and counter-examples are provided--as are exercises, solutions and helpful hints, and Matlab/Maple supplements.