Download or read book An Experimental Study of Some Pivoting Rules in Linear Programming written by Hang Tong Lau and published by . This book was released on 1981* with total page 30 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Proximate Linear Programming written by F. J. Gould and published by . This book was released on 1971 with total page 56 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Simplex Method written by Karl Heinz Borgwardt and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 279 pages. Available in PDF, EPUB and Kindle. Book excerpt: For more than 35 years now, George B. Dantzig's Simplex-Method has been the most efficient mathematical tool for solving linear programming problems. It is proba bly that mathematical algorithm for which the most computation time on computers is spent. This fact explains the great interest of experts and of the public to understand the method and its efficiency. But there are linear programming problems which will not be solved by a given variant of the Simplex-Method in an acceptable time. The discrepancy between this (negative) theoretical result and the good practical behaviour of the method has caused a great fascination for many years. While the "worst-case analysis" of some variants of the method shows that this is not a "good" algorithm in the usual sense of complexity theory, it seems to be useful to apply other criteria for a judgement concerning the quality of the algorithm. One of these criteria is the average computation time, which amounts to an anal ysis of the average number of elementary arithmetic computations and of the number of pivot steps. A rigid analysis of the average behaviour may be very helpful for the decision which algorithm and which variant shall be used in practical applications. The subject and purpose of this book is to explain the great efficiency in prac tice by assuming certain distributions on the "real-world" -problems. Other stochastic models are realistic as well and so this analysis should be considered as one of many possibilities.
Download or read book An Asynchronous Parallel Algorithm for Linear Programming Based on the Simplex Method written by ManMohan S. Sodhi and published by . This book was released on 1994 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Probability and Algorithms written by National Research Council and published by National Academies Press. This book was released on 1992-02-01 with total page 189 pages. Available in PDF, EPUB and Kindle. Book excerpt: Some of the hardest computational problems have been successfully attacked through the use of probabilistic algorithms, which have an element of randomness to them. Concepts from the field of probability are also increasingly useful in analyzing the performance of algorithms, broadening our understanding beyond that provided by the worst-case or average-case analyses. This book surveys both of these emerging areas on the interface of the mathematical sciences and computer science. It is designed to attract new researchers to this area and provide them with enough background to begin explorations of their own.
Download or read book The Collected Essays of Richard E Quandt written by Richard E. Quandt and published by Edward Elgar Publishing. This book was released on 1992-01-01 with total page 876 pages. Available in PDF, EPUB and Kindle. Book excerpt: Professor Richard Quandt has made a major contribution to the development of economics in the 20th century. The range and significance of his work has long required a collection of his essays which will allow his contribution to be assessed as a whole. Despite an early interest in microeconomic theory, Richard Quandt has devoted most of his career to econometrics and, in particular, modal split estimation. More recently his work has focused on the econometrics of disequilibrium models with reference to both free market and planned economies. As well as outlining his many articles in microtheory, general econometrics, disequilibrium modeling, financial economics and the economics of planned economies, this collection should have a particular value for all scholars interested in the emergence of the new economies in Eastern Europe, a subject to which Professor Quandt has applied himself in recent years. This book includes an introduction by Professor Quandt describing his early life in Budapest and the circumstances which led him to study economics in America.
Download or read book Combinatorial Optimization written by Christos H. Papadimitriou and published by Courier Corporation. This book was released on 2013-04-26 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: This graduate-level text considers the Soviet ellipsoid algorithm for linear programming; efficient algorithms for network flow, matching, spanning trees, and matroids; the theory of NP-complete problems; local search heuristics for NP-complete problems, more. 1982 edition.
Download or read book Linear Programming Using MATLAB written by Nikolaos Ploskas and published by Springer. This book was released on 2017-10-28 with total page 646 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a theoretical and computational presentation of a variety of linear programming algorithms and methods with an emphasis on the revised simplex method and its components. A theoretical background and mathematical formulation is included for each algorithm as well as comprehensive numerical examples and corresponding MATLAB® code. The MATLAB® implementations presented in this book are sophisticated and allow users to find solutions to large-scale benchmark linear programs. Each algorithm is followed by a computational study on benchmark problems that analyze the computational behavior of the presented algorithms. As a solid companion to existing algorithmic-specific literature, this book will be useful to researchers, scientists, mathematical programmers, and students with a basic knowledge of linear algebra and calculus. The clear presentation enables the reader to understand and utilize all components of simplex-type methods, such as presolve techniques, scaling techniques, pivoting rules, basis update methods, and sensitivity analysis.
Download or read book A survey on pivot rules for linear programming written by and published by . This book was released on 1992 with total page 34 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Proceedings of the Twelfth Annual ACM SIAM Symposium on Discrete Algorithms written by SIAM Activity Group on Discrete Mathematics and published by SIAM. This book was released on 2001-01-01 with total page 962 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contains 130 papers, which were selected based on originality, technical contribution, and relevance. Although the papers were not formally refereed, every attempt was made to verify the main claims. It is expected that most will appear in more complete form in scientific journals. The proceedings also includes the paper presented by invited plenary speaker Ronald Graham, as well as a portion of the papers presented by invited plenary speakers Udi Manber and Christos Papadimitriou.
Download or read book A Survey on Pivot Rules for Linear Programming written by Tamás Terlaky and published by . This book was released on 1991 with total page 31 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Integer Programming and Related Areas written by R.v. Randow and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Linear Programming Computation written by Ping-Qi PAN and published by Springer Nature. This book was released on 2023-01-01 with total page 739 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph represents a historic breakthrough in the field of linear programming (LP)since George Dantzig first discovered the simplex method in 1947. Being both thoughtful and informative, it focuses on reflecting and promoting the state of the art by highlighting new achievements in LP. This new edition is organized in two volumes. The first volume addresses foundations of LP, including the geometry of feasible region, the simplex method and its implementation, duality and the dual simplex method, the primal-dual simplex method, sensitivity analysis and parametric LP, the generalized simplex method, the decomposition method, the interior-point method and integer LP method. The second volume mainly introduces contributions of the author himself, such as efficient primal/dual pivot rules, primal/dual Phase-I methods, reduced/D-reduced simplex methods, the generalized reduced simplex method, primal/dual deficient-basis methods, primal/dual face methods, a new decomposition principle, etc. Many important improvements were made in this edition. The first volume includes new results, such as the mixed two-phase simplex algorithm, dual elimination, fresh pricing scheme for reduced cost, bilevel LP models and intercepting of optimal solution set. In particular, the chapter Integer LP Method was rewritten with great gains of the objective cutting for new ILP solvers {\it controlled-cutting/branch} methods, as well as with an attractive implementation of the controlled-branch method. In the second volume, the `simplex feasible-point algorithm' was rewritten, and removed from the chapter Pivotal Interior-Point Method to form an independent chapter with the new title `Simplex Interior-Point Method', as it represents a class of efficient interior-point algorithms transformed from traditional simplex algorithms. The title of the original chapter was then changed to `Facial Interior-Point Method', as the remaining algorithms represent another class of efficient interior-point algorithms transformed from normal interior-point algorithms. Without exploiting sparsity, the original primal/dual face methods were implemented using Cholesky factorization. In order to deal with sparse computation, two new chapters discussing LU factorization were added to the second volume. The most exciting improvement came from the rediscovery of the reduced simplex method. In the first edition, the derivation of its prototype was presented in a chapter with the same title, and then converted into the so-called `improved' version in another chapter. Fortunately, the author recently found a quite concise new derivation, so he can now introduce the distinctive fresh simplex method in a single chapter. It is exciting that the reduced simplex method can be expected to be the best LP solver ever. With a focus on computation, the current edition contains many novel ideas, theories and methods, supported by solid numerical results. Being clear and succinct, its content reveals in a fresh manner, from simple to profound. In particular, a larger number of examples were worked out to demonstrate algorithms. This book is a rare work in LP and an indispensable tool for undergraduate and graduate students, teachers, practitioners, and researchers in LP and related fields.
Download or read book A KWIC Index in Operations Research written by International Business Machines Corporation and published by . This book was released on 1967 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Linear Programming 1 written by George B. Dantzig and published by Springer Science & Business Media. This book was released on 2006-04-06 with total page 462 pages. Available in PDF, EPUB and Kindle. Book excerpt: Encompassing all the major topics students will encounter in courses on the subject, the authors teach both the underlying mathematical foundations and how these ideas are implemented in practice. They illustrate all the concepts with both worked examples and plenty of exercises, and, in addition, provide software so that students can try out numerical methods and so hone their skills in interpreting the results. As a result, this will make an ideal textbook for all those coming to the subject for the first time. Authors' note: A problem recently found with the software is due to a bug in Formula One, the third party commercial software package that was used for the development of the interface. It occurs when the date, currency, etc. format is set to a non-United States version. Please try setting your computer date/currency option to the United States option . The new version of Formula One, when ready, will be posted on WWW.
Download or read book Computational Techniques of the Simplex Method written by István Maros and published by Springer Science & Business Media. This book was released on 2002-12-31 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational Techniques of the Simplex Method is a systematic treatment focused on the computational issues of the simplex method. It provides a comprehensive coverage of the most important and successful algorithmic and implementation techniques of the simplex method. It is a unique source of essential, never discussed details of algorithmic elements and their implementation. On the basis of the book the reader will be able to create a highly advanced implementation of the simplex method which, in turn, can be used directly or as a building block in other solution algorithms.
Download or read book Mathematics of Operations Research written by and published by . This book was released on 1986 with total page 758 pages. Available in PDF, EPUB and Kindle. Book excerpt: Articles of mathematical interest as well as operations research and management science.
