Large Scale Linear and Integer Optimization: A Unified Approach

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Publisher : Springer Science & Business Media
ISBN 13 : 1461549752
Total Pages : 739 pages
Book Rating : 4.4/5 (615 download)

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Book Synopsis Large Scale Linear and Integer Optimization: A Unified Approach by : Richard Kipp Martin

Download or read book Large Scale Linear and Integer Optimization: A Unified Approach written by Richard Kipp Martin and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 739 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a textbook about linear and integer linear optimization. There is a growing need in industries such as airline, trucking, and financial engineering to solve very large linear and integer linear optimization problems. Building these models requires uniquely trained individuals. Not only must they have a thorough understanding of the theory behind mathematical programming, they must have substantial knowledge of how to solve very large models in today's computing environment. The major goal of the book is to develop the theory of linear and integer linear optimization in a unified manner and then demonstrate how to use this theory in a modern computing environment to solve very large real world problems. After presenting introductory material in Part I, Part II of this book is de voted to the theory of linear and integer linear optimization. This theory is developed using two simple, but unifying ideas: projection and inverse projec tion. Through projection we take a system of linear inequalities and replace some of the variables with additional linear inequalities. Inverse projection, the dual of this process, involves replacing linear inequalities with additional variables. Fundamental results such as weak and strong duality, theorems of the alternative, complementary slackness, sensitivity analysis, finite basis the orems, etc. are all explained using projection or inverse projection. Indeed, a unique feature of this book is that these fundamental results are developed and explained before the simplex and interior point algorithms are presented.

Stochastic Decomposition

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Publisher : Springer Science & Business Media
ISBN 13 : 1461541158
Total Pages : 237 pages
Book Rating : 4.4/5 (615 download)

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Book Synopsis Stochastic Decomposition by : Julia L. Higle

Download or read book Stochastic Decomposition written by Julia L. Higle and published by Springer Science & Business Media. This book was released on 2013-11-27 with total page 237 pages. Available in PDF, EPUB and Kindle. Book excerpt: Motivation Stochastic Linear Programming with recourse represents one of the more widely applicable models for incorporating uncertainty within in which the SLP optimization models. There are several arenas model is appropriate, and such models have found applications in air line yield management, capacity planning, electric power generation planning, financial planning, logistics, telecommunications network planning, and many more. In some of these applications, modelers represent uncertainty in terms of only a few seenarios and formulate a large scale linear program which is then solved using LP software. However, there are many applications, such as the telecommunications planning problem discussed in this book, where a handful of seenarios do not capture variability well enough to provide a reasonable model of the actual decision-making problem. Problems of this type easily exceed the capabilities of LP software by several orders of magnitude. Their solution requires the use of algorithmic methods that exploit the structure of the SLP model in a manner that will accommodate large scale applications.

Large-scale Optimization

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Publisher : Springer Science & Business Media
ISBN 13 : 1475732430
Total Pages : 322 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Large-scale Optimization by : Vladimir Tsurkov

Download or read book Large-scale Optimization written by Vladimir Tsurkov and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: Decomposition methods aim to reduce large-scale problems to simpler problems. This monograph presents selected aspects of the dimension-reduction problem. Exact and approximate aggregations of multidimensional systems are developed and from a known model of input-output balance, aggregation methods are categorized. The issues of loss of accuracy, recovery of original variables (disaggregation), and compatibility conditions are analyzed in detail. The method of iterative aggregation in large-scale problems is studied. For fixed weights, successively simpler aggregated problems are solved and the convergence of their solution to that of the original problem is analyzed. An introduction to block integer programming is considered. Duality theory, which is widely used in continuous block programming, does not work for the integer problem. A survey of alternative methods is presented and special attention is given to combined methods of decomposition. Block problems in which the coupling variables do not enter the binding constraints are studied. These models are worthwhile because they permit a decomposition with respect to primal and dual variables by two-level algorithms instead of three-level algorithms. Audience: This book is addressed to specialists in operations research, optimization, and optimal control.

Multiobjective and Large-scale Linear Programming

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Publisher :
ISBN 13 :
Total Pages : 234 pages
Book Rating : 4.:/5 (927 download)

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Book Synopsis Multiobjective and Large-scale Linear Programming by : Noel Anthony Bryson

Download or read book Multiobjective and Large-scale Linear Programming written by Noel Anthony Bryson and published by . This book was released on 1992 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Online Optimization of Large Scale Systems

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Publisher : Springer Science & Business Media
ISBN 13 : 3662043319
Total Pages : 789 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Online Optimization of Large Scale Systems by : Martin Grötschel

Download or read book Online Optimization of Large Scale Systems written by Martin Grötschel and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 789 pages. Available in PDF, EPUB and Kindle. Book excerpt: In its thousands of years of history, mathematics has made an extraordinary ca reer. It started from rules for bookkeeping and computation of areas to become the language of science. Its potential for decision support was fully recognized in the twentieth century only, vitally aided by the evolution of computing and communi cation technology. Mathematical optimization, in particular, has developed into a powerful machinery to help planners. Whether costs are to be reduced, profits to be maximized, or scarce resources to be used wisely, optimization methods are available to guide decision making. Opti mization is particularly strong if precise models of real phenomena and data of high quality are at hand - often yielding reliable automated control and decision proce dures. But what, if the models are soft and not all data are around? Can mathematics help as well? This book addresses such issues, e. g. , problems of the following type: - An elevator cannot know all transportation requests in advance. In which order should it serve the passengers? - Wing profiles of aircrafts influence the fuel consumption. Is it possible to con tinuously adapt the shape of a wing during the flight under rapidly changing conditions? - Robots are designed to accomplish specific tasks as efficiently as possible. But what if a robot navigates in an unknown environment? - Energy demand changes quickly and is not easily predictable over time. Some types of power plants can only react slowly.

Large-scale Linear Programming Problems: Analysis and Generation

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Publisher :
ISBN 13 :
Total Pages : 392 pages
Book Rating : 4.:/5 (225 download)

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Book Synopsis Large-scale Linear Programming Problems: Analysis and Generation by : Ronald Allan Luhks

Download or read book Large-scale Linear Programming Problems: Analysis and Generation written by Ronald Allan Luhks and published by . This book was released on 1972 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Large-scale Numerical Optimization

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Publisher : SIAM
ISBN 13 : 9780898712681
Total Pages : 278 pages
Book Rating : 4.7/5 (126 download)

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Book Synopsis Large-scale Numerical Optimization by : Thomas Frederick Coleman

Download or read book Large-scale Numerical Optimization written by Thomas Frederick Coleman and published by SIAM. This book was released on 1990-01-01 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: Papers from a workshop held at Cornell University, Oct. 1989, and sponsored by Cornell's Mathematical Sciences Institute. Annotation copyright Book News, Inc. Portland, Or.

Large Scale Linear Programming Problems

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ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (134 download)

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Book Synopsis Large Scale Linear Programming Problems by : AFAF. FOUAD NAKHLA

Download or read book Large Scale Linear Programming Problems written by AFAF. FOUAD NAKHLA and published by . This book was released on 1978 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Linear Programming Computation

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Publisher : Springer Science & Business Media
ISBN 13 : 3642407544
Total Pages : 749 pages
Book Rating : 4.6/5 (424 download)

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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.

Planning Under Uncertainty

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Publisher : Boyd & Fraser Publishing Company
ISBN 13 :
Total Pages : 168 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Planning Under Uncertainty by : Gerd Infanger

Download or read book Planning Under Uncertainty written by Gerd Infanger and published by Boyd & Fraser Publishing Company. This book was released on 1994 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Large-scale linear programming

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Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (586 download)

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Book Synopsis Large-scale linear programming by :

Download or read book Large-scale linear programming written by and published by . This book was released on 1981 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Solving Large-scale Linear Programming by Iterative Methods

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Publisher :
ISBN 13 :
Total Pages : 144 pages
Book Rating : 4.:/5 (969 download)

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Book Synopsis Solving Large-scale Linear Programming by Iterative Methods by : Chee Hwee Seah

Download or read book Solving Large-scale Linear Programming by Iterative Methods written by Chee Hwee Seah and published by . This book was released on 2000 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Linear Programming

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Publisher : Springer Science & Business Media
ISBN 13 : 1461476305
Total Pages : 420 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Linear Programming by : Robert J Vanderbei

Download or read book Linear Programming written by Robert J Vanderbei and published by Springer Science & Business Media. This book was released on 2013-07-16 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Fourth Edition introduces the latest theory and applications in optimization. It emphasizes constrained optimization, beginning with a substantial treatment of linear programming and then proceeding to convex analysis, network flows, integer programming, quadratic programming, and convex optimization. Readers will discover a host of practical business applications as well as non-business applications. Topics are clearly developed with many numerical examples worked out in detail. Specific examples and concrete algorithms precede more abstract topics. With its focus on solving practical problems, the book features free C programs to implement the major algorithms covered, including the two-phase simplex method, primal-dual simplex method, path-following interior-point method, and homogeneous self-dual methods. In addition, the author provides online JAVA applets that illustrate various pivot rules and variants of the simplex method, both for linear programming and for network flows. These C programs and JAVA tools can be found on the book's website. The website also includes new online instructional tools and exercises.

Linear Programming Using MATLAB®

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Publisher : Springer
ISBN 13 : 3319659197
Total Pages : 646 pages
Book Rating : 4.3/5 (196 download)

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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.

An Introduction to Linear Programming and Game Theory

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Publisher : John Wiley & Sons
ISBN 13 : 1118165454
Total Pages : 476 pages
Book Rating : 4.1/5 (181 download)

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Book Synopsis An Introduction to Linear Programming and Game Theory by : Paul R. Thie

Download or read book An Introduction to Linear Programming and Game Theory written by Paul R. Thie and published by John Wiley & Sons. This book was released on 2011-09-15 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: Praise for the Second Edition: "This is quite a well-done book: very tightly organized, better-than-average exposition, and numerous examples, illustrations, and applications." —Mathematical Reviews of the American Mathematical Society An Introduction to Linear Programming and Game Theory, Third Edition presents a rigorous, yet accessible, introduction to the theoretical concepts and computational techniques of linear programming and game theory. Now with more extensive modeling exercises and detailed integer programming examples, this book uniquely illustrates how mathematics can be used in real-world applications in the social, life, and managerial sciences, providing readers with the opportunity to develop and apply their analytical abilities when solving realistic problems. This Third Edition addresses various new topics and improvements in the field of mathematical programming, and it also presents two software programs, LP Assistant and the Solver add-in for Microsoft Office Excel, for solving linear programming problems. LP Assistant, developed by coauthor Gerard Keough, allows readers to perform the basic steps of the algorithms provided in the book and is freely available via the book's related Web site. The use of the sensitivity analysis report and integer programming algorithm from the Solver add-in for Microsoft Office Excel is introduced so readers can solve the book's linear and integer programming problems. A detailed appendix contains instructions for the use of both applications. Additional features of the Third Edition include: A discussion of sensitivity analysis for the two-variable problem, along with new examples demonstrating integer programming, non-linear programming, and make vs. buy models Revised proofs and a discussion on the relevance and solution of the dual problem A section on developing an example in Data Envelopment Analysis An outline of the proof of John Nash's theorem on the existence of equilibrium strategy pairs for non-cooperative, non-zero-sum games Providing a complete mathematical development of all presented concepts and examples, Introduction to Linear Programming and Game Theory, Third Edition is an ideal text for linear programming and mathematical modeling courses at the upper-undergraduate and graduate levels. It also serves as a valuable reference for professionals who use game theory in business, economics, and management science.

Advances in Interior Point Methods for Large-scale Linear Programming

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Publisher :
ISBN 13 :
Total Pages : 112 pages
Book Rating : 4.:/5 (646 download)

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Book Synopsis Advances in Interior Point Methods for Large-scale Linear Programming by : Marco Colombo

Download or read book Advances in Interior Point Methods for Large-scale Linear Programming written by Marco Colombo and published by . This book was released on 2007 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Factorization in Large-scale Linear Programming

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Publisher :
ISBN 13 :
Total Pages : 262 pages
Book Rating : 4.:/5 (32 download)

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Book Synopsis Factorization in Large-scale Linear Programming by : Richard DeWayne McBride

Download or read book Factorization in Large-scale Linear Programming written by Richard DeWayne McBride and published by . This book was released on 1973 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: