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Eliminating Columns In The Simplex Method For Linear Programming
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Book Synopsis Eliminating Columns in the Simplex Method for Linear Programming by : Stanford University. Systems Optimization Laboratory
Download or read book Eliminating Columns in the Simplex Method for Linear Programming written by Stanford University. Systems Optimization Laboratory and published by . This book was released on 1987 with total page 22 pages. Available in PDF, EPUB and Kindle. Book excerpt: This document proposes a column-eliminating and a lower bound updating techniques for the simplex method for linear programming. A pricing criterion is developed for checking whether or not a dual hyperplane corresponding to a column intersects a simplex containing all of the optimal dual feasible solutions. If the dual hyperplane has no intersection with this simplex, we can eliminate the corresponding column from the constraints. As the simplex method iterates, the working constraint matrix eventually eliminates all columns except those that are in at least one optimal basis. Keywords: Algorithms; Ellipsoid; Karmarkar method.
Book Synopsis Linear Programming Computation by : Ping-Qi PAN
Download or read book Linear Programming Computation written by Ping-Qi PAN and published by Springer Science & Business Media. This book was released on 2014-03-27 with total page 749 pages. Available in PDF, EPUB and Kindle. Book excerpt: With emphasis on computation, this book is a real breakthrough in the field of LP. In addition to conventional topics, such as the simplex method, duality, and interior-point methods, all deduced in a fresh and clear manner, it introduces the state of the art by highlighting brand-new and advanced results, including efficient pivot rules, Phase-I approaches, reduced simplex methods, deficient-basis methods, face methods, and pivotal interior-point methods. In particular, it covers the determination of the optimal solution set, feasible-point simplex method, decomposition principle for solving large-scale problems, controlled-branch method based on generalized reduced simplex framework for solving integer LP problems.
Book Synopsis Linear Programming 1 by : George B. Dantzig
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.
Book Synopsis The Simplex Method of Linear Programming by : F.A. Ficken
Download or read book The Simplex Method of Linear Programming written by F.A. Ficken and published by Courier Dover Publications. This book was released on 2015-06-17 with total page 68 pages. Available in PDF, EPUB and Kindle. Book excerpt: Originally published: New York: Holt, Rinehart and Winston, 1961.
Book Synopsis Linear Programming 2 by : George B. Dantzig
Download or read book Linear Programming 2 written by George B. Dantzig and published by Springer Science & Business Media. This book was released on 2006-04-28 with total page 461 pages. Available in PDF, EPUB and Kindle. Book excerpt: George Dantzig is widely regarded as the founder of this subject with his invention of the simplex algorithm in the 1940's. In this second volume, the theory of the items discussed in the first volume is expanded to include such additional advanced topics as variants of the simplex method; interior point methods, GUB, decomposition, integer programming, and game theory. Graduate students in the fields of operations research, industrial engineering and applied mathematics will thus find this volume of particular interest.
Book Synopsis Introduction to Linear Programming with MATLAB by : Shashi Kant Mishra
Download or read book Introduction to Linear Programming with MATLAB written by Shashi Kant Mishra and published by CRC Press. This book was released on 2017-09-07 with total page 261 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is based on the lecture notes of the author delivered to the students at the Institute of Science, Banaras Hindu University, India. It covers simplex, revised simplex, two-phase method, duality, dual simplex, complementary slackness, transportation and assignment problems with good number of examples, clear proofs, MATLAB codes and homework problems. The book will be useful for both students and practitioners.
Book Synopsis Linear Programming Using MATLAB® by : Nikolaos Ploskas
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.
Book Synopsis Multiple Criteria and Multiple Constraint Levels Linear Programming by : Shi Yong
Download or read book Multiple Criteria and Multiple Constraint Levels Linear Programming written by Shi Yong and published by World Scientific. This book was released on 2001 with total page 562 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces multiple criteria and multiple constraint levels linear programming (MC2LP), which is an extension of linear programming (LP) and multiple criteria linear programming (MCLP). In the last decade, the author and a group of researchers from the USA, China, Korea, Germany, and Hungary have been working on the theory and applications of MC2LP problems. This volume integrates their main research results ranging from theoretical bases to broad areas of real world applications. The theoretical bases include the formulation of MC2LP; integer MC2LP and MC2 transportation model; fuzzy MC2LP and fuzzy duality of MC2LP; optimal system designs and contingency plans; MC2 decision support system; and MC2 computer software development. The application areas are accounting, management information systems, production planning, and telecommunications management.The book serves as a seminar text for both undergraduates and graduates who have a linear algebra or equivalent background. For practitioners, it will help in handling LP type problems in multiple decision making environment.
Book Synopsis Operations Research in Transportation Systems by : A.S. Belenky
Download or read book Operations Research in Transportation Systems written by A.S. Belenky and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 445 pages. Available in PDF, EPUB and Kindle. Book excerpt: The scientific monograph of a survey kind presented to the reader's attention deals with fundamental ideas and basic schemes of optimization methods that can be effectively used for solving strategic planning and operations manage ment problems related, in particular, to transportation. This monograph is an English translation of a considerable part of the author's book with a similar title that was published in Russian in 1992. The material of the monograph embraces methods of linear and nonlinear programming; nonsmooth and nonconvex optimization; integer programming, solving problems on graphs, and solving problems with mixed variables; rout ing, scheduling, solving network flow problems, and solving the transportation problem; stochastic programming, multicriteria optimization, game theory, and optimization on fuzzy sets and under fuzzy goals; optimal control of systems described by ordinary differential equations, partial differential equations, gen eralized differential equations (differential inclusions), and functional equations with a variable that can assume only discrete values; and some other methods that are based on or adjoin to the listed ones.
Book Synopsis Scientific and Technical Aerospace Reports by :
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1988 with total page 1020 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Concepts of Combinatorial Optimization, Volume 1 by : Vangelis Th. Paschos
Download or read book Concepts of Combinatorial Optimization, Volume 1 written by Vangelis Th. Paschos and published by John Wiley & Sons. This book was released on 2012-12-27 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: Combinatorial optimization is a multidisciplinary scientific area, lying in the interface of three major scientific domains: mathematics, theoretical computer science and management. The three volumes of the Combinatorial Optimization series aims to cover a wide range of topics in this area. These topics also deal with fundamental notions and approaches as with several classical applications of combinatorial optimization. Concepts of Combinatorial Optimization, is divided into three parts: On the complexity of combinatorial optimization problems, that presents basics about worst-case and randomized complexity; Classical solution methods, that presents the two most-known methods for solving hard combinatorial optimization problems, that are Branch-and-Bound and Dynamic Programming; Elements from mathematical programming, that presents fundamentals from mathematical programming based methods that are in the heart of Operations Research since the origins of this field.
Book Synopsis Numerical Linear Algebra and Optimization by : Philip E. Gill
Download or read book Numerical Linear Algebra and Optimization written by Philip E. Gill and published by SIAM. This book was released on 2021-05-13 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: This classic volume covers the fundamentals of two closely related topics: linear systems (linear equations and least-squares) and linear programming (optimizing a linear function subject to linear constraints). For each problem class, stable and efficient numerical algorithms intended for a finite-precision environment are derived and analyzed. While linear algebra and optimization have made huge advances since this book first appeared in 1991, the fundamental principles have not changed. These topics were rarely taught with a unified perspective, and, somewhat surprisingly, this remains true 30 years later. As a result, some of the material in this book can be difficult to find elsewhere—in particular, techniques for updating the LU factorization, descriptions of the simplex method applied to all-inequality form, and the analysis of what happens when using an approximate inverse to solve Ax=b. Numerical Linear Algebra and Optimization is primarily a reference for students who want to learn about numerical techniques for solving linear systems and/or linear programming using the simplex method; however, Chapters 6, 7, and 8 can be used as the text for an upper-division course on linear least squares and linear programming. Understanding is enhanced by numerous exercises.
Book Synopsis Mobile Networks and Computing by : Sanguthevar Rajasekaran
Download or read book Mobile Networks and Computing written by Sanguthevar Rajasekaran and published by American Mathematical Soc.. This book was released on 2000 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advances in the technologies of networking, wireless communications, and miniaturization of computers have lead to rapid development in mobile communication infrastructure and have engendered a new paradigm of computing. Users carrying portable devices can now move freely about while remaining connected to the network. This "portability" allows for access to information from anywhere and at any time. The flexibility has resulted in new levels of complexity not encountered previously in software and protocol design for wired networking. New challenges in designing software systems for mobile networks include location and mobility management, channel allocation, power conservation, and more. In this book, renowned researchers in the field address these aspects of mobile networking.
Book Synopsis Scientific Computing by : John A. Trangenstein
Download or read book Scientific Computing written by John A. Trangenstein and published by Springer. This book was released on 2018-05-14 with total page 621 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the second of three volumes providing a comprehensive presentation of the fundamentals of scientific computing. This volume discusses more advanced topics than volume one, and is largely not a prerequisite for volume three. This book and its companions show how to determine the quality of computational results, and how to measure the relative efficiency of competing methods. Readers learn how to determine the maximum attainable accuracy of algorithms, and how to select the best method for computing problems. This book also discusses programming in several languages, including C++, Fortran and MATLAB. There are 49 examples, 110 exercises, 66 algorithms, 24 interactive JavaScript programs, 77 references to software programs and 1 case study. Topics are introduced with goals, literature references and links to public software. There are descriptions of the current algorithms in LAPACK, GSLIB and MATLAB. This book could be used for a second course in numerical methods, for either upper level undergraduates or first year graduate students. Parts of the text could be used for specialized courses, such as nonlinear optimization or iterative linear algebra.
Book Synopsis Recent Advances in Material, Manufacturing, and Machine Learning by : Bjorn Schuller
Download or read book Recent Advances in Material, Manufacturing, and Machine Learning written by Bjorn Schuller and published by CRC Press. This book was released on 2024-06-17 with total page 1016 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main aim of the 2nd international conference on recent advances in materials manufacturing and machine learning processes-2023 (RAMMML-23) is to bring together all interested academic researchers, scientists, engineers, and technocrats and provide a platform for continuous improvement of manufactur□ing, machine learning, design and materials engineering research. RAMMML 2023 received an overwhelm□ing response with more than 530 full paper submissions. After due and careful scrutiny, about 120 of them have been selected for presentation. The papers submitted have been reviewed by experts from renowned institutions, and subsequently, the authors have revised the papers, duly incorporating the suggestions of the reviewers. This has led to significant improvement in the quality of the contributions, Taylor & Francis publications, CRC Press have agreed to publish the selected proceedings of the conference in their book series of Advances in Mechanical Engineering and Interdisciplinary Sciences. This enables fast dissemina□tion of the papers worldwide and increases the scope of visibility for the research contributions of the authors.
Book Synopsis Linear Programming and Resource Allocation Modeling by : Michael J. Panik
Download or read book Linear Programming and Resource Allocation Modeling written by Michael J. Panik and published by John Wiley & Sons. This book was released on 2018-10-25 with total page 539 pages. Available in PDF, EPUB and Kindle. Book excerpt: Guides in the application of linear programming to firm decision making, with the goal of giving decision-makers a better understanding of methods at their disposal Useful as a main resource or as a supplement in an economics or management science course, this comprehensive book addresses the deficiencies of other texts when it comes to covering linear programming theory—especially where data envelopment analysis (DEA) is concerned—and provides the foundation for the development of DEA. Linear Programming and Resource Allocation Modeling begins by introducing primal and dual problems via an optimum product mix problem, and reviews the rudiments of vector and matrix operations. It then goes on to cover: the canonical and standard forms of a linear programming problem; the computational aspects of linear programming; variations of the standard simplex theme; duality theory; single- and multiple- process production functions; sensitivity analysis of the optimal solution; structural changes; and parametric programming. The primal and dual problems are then reformulated and re-examined in the context of Lagrangian saddle points, and a host of duality and complementary slackness theorems are offered. The book also covers primal and dual quadratic programs, the complementary pivot method, primal and dual linear fractional functional programs, and (matrix) game theory solutions via linear programming, and data envelopment analysis (DEA). This book: Appeals to those wishing to solve linear optimization problems in areas such as economics, business administration and management, agriculture and energy, strategic planning, public decision making, and health care Fills the need for a linear programming applications component in a management science or economics course Provides a complete treatment of linear programming as applied to activity selection and usage Contains many detailed example problems as well as textual and graphical explanations Linear Programming and Resource Allocation Modeling is an excellent resource for professionals looking to solve linear optimization problems, and advanced undergraduate to beginning graduate level management science or economics students.
Book Synopsis Quantitative Problem Solving Methods in the Airline Industry by : Cynthia Barnhart
Download or read book Quantitative Problem Solving Methods in the Airline Industry written by Cynthia Barnhart and published by Springer Science & Business Media. This book was released on 2011-12-21 with total page 461 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book reviews operations research theory, applications and practice in airline planning and operations. It examines the business and technical landscape, details best practices, and identifies open questions and areas for future research.