Mathematical Programming The State Of The Art

Author : A. Bachem,M. Grötschel,B. Korte
Publisher : Springer Science & Business Media
Page : 662 pages
File Size : 50,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783642688744

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Mathematical Programming The State of the Art by A. Bachem,M. Grötschel,B. Korte Pdf

In the late forties, Mathematical Programming became a scientific discipline in its own right. Since then it has experienced a tremendous growth. Beginning with economic and military applications, it is now among the most important fields of applied mathematics with extensive use in engineering, natural sciences, economics, and biological sciences. The lively activity in this area is demonstrated by the fact that as early as 1949 the first "Symposium on Mathe matical Programming" took place in Chicago. Since then mathematical programmers from all over the world have gath ered at the intfrnational symposia of the Mathematical Programming Society roughly every three years to present their recent research, to exchange ideas with their colleagues and to learn about the latest developments in their own and related fields. In 1982, the XI. International Symposium on Mathematical Programming was held at the University of Bonn, W. Germany, from August 23 to 27. It was organized by the Institut fUr Okonometrie und Operations Re search of the University of Bonn in collaboration with the Sonderforschungs bereich 21 of the Deutsche Forschungsgemeinschaft. This volume constitutes part of the outgrowth of this symposium and docu ments its scientific activities. Part I of the book contains information about the symposium, welcoming addresses, lists of committees and sponsors and a brief review about the Ful kerson Prize and the Dantzig Prize which were awarded during the opening ceremony.

Author : A. Bachem,M. Grötschel,B. Korte
Publisher : Springer
Page : 0 pages
File Size : 49,6 Mb
Release : 1983-07-01
Category : Mathematics
ISBN : 3540120823

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Mathematical Programming The State of the Art by A. Bachem,M. Grötschel,B. Korte Pdf

Author : Mark H. Karwan
Publisher : Springer Verlag
Page : 0 pages
File Size : 47,8 Mb
Release : 1983
Category : Mathematics
ISBN : 0387115528

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Redundancy in Mathematical Programming by Mark H. Karwan Pdf

Author : Santosh Kumar,Australian Society for Operations Research
Publisher : CRC Press
Page : 476 pages
File Size : 45,8 Mb
Release : 1991
Category : Mathematics
ISBN : 2881248209

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Recent Developments in Mathematical Programming by Santosh Kumar,Australian Society for Operations Research Pdf

This book is concerned with theoretical developments in the area of mathematical programming including new algorithms (analytic and heuristic) and their applications in science and industry. It exposes recent mathematical developments to a larger audience in science and industry who may not be equipped with the necessary research background and provides good references in many branches of mathematical programming. The text includes research and tutorial papers giving details of use of recent developments in applied areas, as well as review and state-of-the-art papers providing a soruce of references to researchers in this field.

Author : John R. Birge,Katta G. Murty
Publisher : Unknown
Page : 326 pages
File Size : 54,5 Mb
Release : 1994
Category : Mathematics
ISBN : UOM:39015032509823

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Mathematical Programming by John R. Birge,Katta G. Murty Pdf

Author : A. Bachem
Publisher : Unknown
Page : 655 pages
File Size : 49,7 Mb
Release : 1983
Category : Electronic
ISBN : OCLC:916622698

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Mathematical Programming by A. Bachem Pdf

Author : M.H. Karwan,V. Lotfi,J. Telgen,S. Zionts
Publisher : Springer Science & Business Media
Page : 298 pages
File Size : 52,5 Mb
Release : 2012-12-06
Category : Business & Economics
ISBN : 9783642455353

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Redundancy in Mathematical Programming by M.H. Karwan,V. Lotfi,J. Telgen,S. Zionts Pdf

During the Spring of 1979 one of us (Zionts) was invited to visit Erasmus University in Rotterdam, The Netherlands. It was there that Zionts met another of us (Telgen) who was then in the process of completing a dissertation on redundancy in linear programming. At that time, Telgen proposed an extended visit to Buffalo, during which time he and Zionts would do an extensive study on redundancy. Redundancy, hardly an exciting or new topic, does have numerous applications. Telgen and Zionts planned the project for the Summer of 1980, and enlisted the support of all the contributors as well as the other two members of our team (Karwan and Lotfi). Lotfi was then a Ph. D. student in Industrial Engineering searching for a thesis topic. Redundancy became his topic. Karwan and Zionts served as his thesis co-chairmen, with Telgen serving as an outside reader of the thesis. We initially had hoped to complete the study during Telgen's stay in Buffalo, but that was far too optimistic. Lotfi completed his dissertation during the late Spring-early Summer of 1981. As the project took shape, we decided that we had more than enough for an article, or even several articles. Accordingly, not wanting to produce redundant papers, we decided to produce this volume --- a state-of-the-art review of methods for handling redundancy and comprehensive tests of the various methods, together with extensions and further developments of the most promising methods.

Author : Michael Jünger,Thomas M. Liebling,Denis Naddef,George L. Nemhauser,William R. Pulleyblank,Gerhard Reinelt,Giovanni Rinaldi,Laurence A. Wolsey
Publisher : Springer Science & Business Media
Page : 804 pages
File Size : 45,6 Mb
Release : 2009-11-06
Category : Mathematics
ISBN : 9783540682790

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50 Years of Integer Programming 1958-2008 by Michael Jünger,Thomas M. Liebling,Denis Naddef,George L. Nemhauser,William R. Pulleyblank,Gerhard Reinelt,Giovanni Rinaldi,Laurence A. Wolsey Pdf

In 1958, Ralph E. Gomory transformed the field of integer programming when he published a paper that described a cutting-plane algorithm for pure integer programs and announced that the method could be refined to give a finite algorithm for integer programming. In 2008, to commemorate the anniversary of this seminal paper, a special workshop celebrating fifty years of integer programming was held in Aussois, France, as part of the 12th Combinatorial Optimization Workshop. It contains reprints of key historical articles and written versions of survey lectures on six of the hottest topics in the field by distinguished members of the integer programming community. Useful for anyone in mathematics, computer science and operations research, this book exposes mathematical optimization, specifically integer programming and combinatorial optimization, to a broad audience.

Author : E. Spedicato
Publisher : Springer Science & Business Media
Page : 572 pages
File Size : 54,9 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9789400903692

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Algorithms for Continuous Optimization by E. Spedicato Pdf

The NATO Advanced Study Institute on "Algorithms for continuous optimiza tion: the state of the art" was held September 5-18, 1993, at II Ciocco, Barga, Italy. It was attended by 75 students (among them many well known specialists in optimiza tion) from the following countries: Belgium, Brasil, Canada, China, Czech Republic, France, Germany, Greece, Hungary, Italy, Poland, Portugal, Rumania, Spain, Turkey, UK, USA, Venezuela. The lectures were given by 17 well known specialists in the field, from Brasil, China, Germany, Italy, Portugal, Russia, Sweden, UK, USA. Solving continuous optimization problems is a fundamental task in computational mathematics for applications in areas of engineering, economics, chemistry, biology and so on. Most real problems are nonlinear and can be of quite large size. Devel oping efficient algorithms for continuous optimization has been an important field of research in the last 30 years, with much additional impetus provided in the last decade by the availability of very fast and parallel computers. Techniques, like the simplex method, that were already considered fully developed thirty years ago have been thoroughly revised and enormously improved. The aim of this ASI was to present the state of the art in this field. While not all important aspects could be covered in the fifty hours of lectures (for instance multiob jective optimization had to be skipped), we believe that most important topics were presented, many of them by scientists who greatly contributed to their development.

Author : Anthony V. Fiacco
Publisher : CRC Press
Page : 460 pages
File Size : 51,5 Mb
Release : 2020-09-24
Category : Mathematics
ISBN : 9781000153668

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Mathematical Programming with Data Perturbations by Anthony V. Fiacco Pdf

Presents research contributions and tutorial expositions on current methodologies for sensitivity, stability and approximation analyses of mathematical programming and related problem structures involving parameters. The text features up-to-date findings on important topics, covering such areas as the effect of perturbations on the performance of algorithms, approximation techniques for optimal control problems, and global error bounds for convex inequalities.

Author : Michael C. Ferris,Jong-Shi Pang
Publisher : SIAM
Page : 494 pages
File Size : 42,6 Mb
Release : 1997-01-01
Category : Mathematics
ISBN : 0898713919

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Complementarity and Variational Problems by Michael C. Ferris,Jong-Shi Pang Pdf

After more than three decades of research, the subject of complementarity problems and its numerous extensions has become a well-established and fruitful discipline within mathematical programming and applied mathematics. Sources of these problems are diverse and span numerous areas in engineering, economics, and the sciences. Includes refereed articles.

Author : Vittorio Maniezzo,Thomas Stützle,Stefan Voß
Publisher : Springer Science & Business Media
Page : 283 pages
File Size : 47,7 Mb
Release : 2009-09-18
Category : Business & Economics
ISBN : 9781441913067

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Matheuristics by Vittorio Maniezzo,Thomas Stützle,Stefan Voß Pdf

Metaheuristics support managers in decision-making with robust tools that provide high-quality solutions to important applications in business, engineering, economics, and science in reasonable time frames, but finding exact solutions in these applications still poses a real challenge. However, because of advances in the fields of mathematical optimization and metaheuristics, major efforts have been made on their interface regarding efficient hybridization. This edited book will provide a survey of the state of the art in this field by providing some invited reviews by well-known specialists as well as refereed papers from the second Matheuristics workshop to be held in Bertinoro, Italy, June 2008. Papers will explore mathematical programming techniques in metaheuristics frameworks, and especially focus on the latest developments in Mixed Integer Programming in solving real-world problems.

Author : Miguel Ángel Goberna,Marco A. López
Publisher : Springer Science & Business Media
Page : 392 pages
File Size : 40,5 Mb
Release : 2013-11-11
Category : Computers
ISBN : 9781475734034

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Semi-Infinite Programming by Miguel Ángel Goberna,Marco A. López Pdf

Semi-infinite programming (SIP) deals with optimization problems in which either the number of decision variables or the number of constraints is finite. This book presents the state of the art in SIP in a suggestive way, bringing the powerful SIP tools close to the potential users in different scientific and technological fields. The volume is divided into four parts. Part I reviews the first decade of SIP (1962-1972). Part II analyses convex and generalised SIP, conic linear programming, and disjunctive programming. New numerical methods for linear, convex, and continuously differentiable SIP problems are proposed in Part III. Finally, Part IV provides an overview of the applications of SIP to probability, statistics, experimental design, robotics, optimization under uncertainty, production games, and separation problems. Audience: This book is an indispensable reference and source for advanced students and researchers in applied mathematics and engineering.

Author : S. K. Neogy
Publisher : World Scientific
Page : 498 pages
File Size : 48,6 Mb
Release : 2008
Category : Mathematics
ISBN : 9789812813220

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Mathematical Programming and Game Theory for Decision Making by S. K. Neogy Pdf

This edited book presents recent developments and state-of-the-art review in various areas of mathematical programming and game theory. It is a peer-reviewed research monograph under the ISI Platinum Jubilee Series on Statistical Science and Interdisciplinary Research. This volume provides a panoramic view of theory and the applications of the methods of mathematical programming to problems in statistics, finance, games and electrical networks. It also provides an important as well as timely overview of research trends and focuses on the exciting areas like support vector machines, bilevel programming, interior point method for convex quadratic programming, cooperative games, non-cooperative games and stochastic games. Researchers, professionals and advanced graduates will find the book an essential resource for current work in mathematical programming, game theory and their applications. Sample Chapter(s). Foreword (45 KB). Chapter 1: Mathematical Programming and its Applications in Finance (177 KB). Contents: Mathematical Programming and Its Applications in Finance (L C Thomas); Anti-Stalling Pivot Rule for Linear Programs with Totally Unimodular Coefficient Matrix (S N Kabadi & A P Punnen); A New Practically Efficient Interior Point Method for Convex Quadratic Programming (K G Murty); A General Framework for the Analysis of Sets of Constraints (R Caron & T Traynor), Tolerance-Based Algorithms for the Traveling Salesman Problem (D Ghosh et al.); On the Membership Problem of the Pedigree Polytope (T S Arthanari); Exact Algorithms for a One-Defective Vertex Colouring Problem (N Achuthan et al.); Complementarity Problem Involving a Vertical Block Matrix and Its Solution Using Neural Network Model (S K Neogy et al.); Fuzzy Twin Support Vector Machines for Pattern Classification (R Khemchandani et al.); An Overview of the Minimum Sum of Absolute Errors Regression (S C Narula & J F Wellington); Hedging Against the Market with No Short Selling (S A Clark & C Srinivasan); Mathematical Programming and Electrical Network Analysis II: Computational Linear Algebra Through Network Analysis (H Narayanan); Dynamic Optimal Control Policy in Price and Quality for High Technology Product (A K Bardhan & U Chanda); Forecasting for Supply Chain and Portfolio Management (K G Murty); Variational Analysis in Bilevel Programming (S Dempe et al.); Game Engineering (R J Aumann); Games of Connectivity (P Dubey & R Garg); A Robust Feedback Nash Equilibrium in a Climate Change Policy Game (M Hennlock); De Facto Delegation and Proposer Rules (H Imai & K Yonezaki); The Bargaining Set in Effectivity Function (D Razafimahatolotra); Dynamic Oligopoly as a Mixed Large Game OCo Toy Market (A Wiszniewska-Matyszkiel); On Some Classes of Balanced Games (R B Bapat); Market Equilibrium for Combinatorial Auctions and the Matching Core of Nonnegative TU Games (S Lahiri); Continuity, Manifolds, and Arrow''s Social Choice Problem (K Saukkonen); On a Mixture Class of Stochastic Games with Ordered Field Property (S K Neogy). Readership: Researchers, professionals and advanced students in mathematical programming, game theory, management sciences and computational mathematics.

Author : J. K. Lenstra,A. H. G. Rinnooy Kan,A. Schrijver
Publisher : Cwi
Page : 160 pages
File Size : 43,8 Mb
Release : 1991
Category : Business & Economics
ISBN : STANFORD:36105041111415

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History of Mathematical Programming by J. K. Lenstra,A. H. G. Rinnooy Kan,A. Schrijver Pdf

The historical span of mathematical programming, from its conception to its present flourishing state is remarkably short. The 1940's and 1950's were an exciting period when there was a great deal of research activity, but the growth of the field during the 1960's and 1970's worldwide already appears to be of historical interest too, because much of the progress during that time has had an important influence on present-day research. In this volume some pioneers of the field, as well as some prominent younger colleagues, have put their personal recollections in writing. The contributions bear witness to a time of impressive scientific progress, in which the rich new field of mathematical programming was detected and brought up.