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A Decomposition Method And Its Application To Block Angular Linear Programs
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Book Synopsis A Decomposition Method and Its Application to Block Angular Linear Programs by : Cu Duong Ha
Download or read book A Decomposition Method and Its Application to Block Angular Linear Programs written by Cu Duong Ha and published by . This book was released on 1981 with total page 55 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper we propose and develop techniques for solving structured, large-scale convex programming problems. The procedure is a combination of a decomposition technique of Dantzig-Wolfe type and the proximal point method. The proximal point method is used to overcome the drawbacks of the decomposition technique. The procedure is then used to solve block angular linear programming problems. By exploiting the linearity of the problem we have several variants of the procedure. (Author).
Book Synopsis Basis Factorization for Block-angular Linear Programs by : Carlos Winkler
Download or read book Basis Factorization for Block-angular Linear Programs written by Carlos Winkler and published by . This book was released on 1974 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt: A general block-angular basis factorization is developed to represent the inverse of the basis of block-angular linear problems in factorized form. This factorization takes advantage of the structure of the matrix and can be efficiently updated when one column is replaced by another. Partitioning and decomposition methods (excluding Dantzig-Wolfe decomposition) for block-angular linear problems with coupling constraints, or coupling variables, or both, are shown to be variants of a Simplex Method using this general block-angular basis factorization form of the inverse, with various criteria as to the vector pair selected to enter and to leave the basis. By considering other criteria new algorithms are obtained. In particular, algorithms are presented for which at each iteration only a subset of the terms in the factorization needs to be used or to be updated. Preliminary experimental results with such an algorithm for block-angular linear problems with coupling constraints are included. Results are extended to the case when imbedded in the block-angular structures there are blocks which themselves are of block-angular form. Applications to the solution of dynamic linear programs (staircase structure) are developed.
Book Synopsis Empirical Analysis of Algorithms for Block-Angular Linear Programs by : Jiarui Dang
Download or read book Empirical Analysis of Algorithms for Block-Angular Linear Programs written by Jiarui Dang and published by . This book was released on 2007 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis DECOMP: an Implementation of Dantzig-Wolfe Decomposition for Linear Programming by : James K. Ho
Download or read book DECOMP: an Implementation of Dantzig-Wolfe Decomposition for Linear Programming written by James K. Ho and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: For linear optimization models that can be formulated as linear programs with the block-angular structure, i.e. independent subproblems with coupling constraints, the Dantzig-Wolfe decomposition principle provides an elegant framework of solution algorithms as well as economic interpretation. This monograph is the complete documentation of DECOMP: a robust implementation of the Dantzig-Wolfe decomposition method in FORTRAN. The code can serve as a very convenient starting point for further investigation, both computational and economic, of parallelism in large-scale systems. It can also be used as supplemental material in a second course in linear programming, computational mathematical programming, or large-scale systems.
Book Synopsis Decomposition Techniques in Mathematical Programming by : Antonio J. Conejo
Download or read book Decomposition Techniques in Mathematical Programming written by Antonio J. Conejo and published by Springer Science & Business Media. This book was released on 2006-04-28 with total page 542 pages. Available in PDF, EPUB and Kindle. Book excerpt: Optimization plainly dominates the design, planning, operation, and c- trol of engineering systems. This is a book on optimization that considers particular cases of optimization problems, those with a decomposable str- ture that can be advantageously exploited. Those decomposable optimization problems are ubiquitous in engineering and science applications. The book considers problems with both complicating constraints and complicating va- ables, and analyzes linear and nonlinear problems, with and without in- ger variables. The decomposition techniques analyzed include Dantzig-Wolfe, Benders, Lagrangian relaxation, Augmented Lagrangian decomposition, and others. Heuristic techniques are also considered. Additionally, a comprehensive sensitivity analysis for characterizing the solution of optimization problems is carried out. This material is particularly novel and of high practical interest. This book is built based on many clarifying, illustrative, and compu- tional examples, which facilitate the learning procedure. For the sake of cl- ity, theoretical concepts and computational algorithms are assembled based on these examples. The results are simplicity, clarity, and easy-learning. We feel that this book is needed by the engineering community that has to tackle complex optimization problems, particularly by practitioners and researchersinEngineering,OperationsResearch,andAppliedEconomics.The descriptions of most decomposition techniques are available only in complex and specialized mathematical journals, di?cult to understand by engineers. A book describing a wide range of decomposition techniques, emphasizing problem-solving, and appropriately blending theory and application, was not previously available.
Author :Stanford University. Department of Operations Research. Systems Optimization Laboratory Publisher : ISBN 13 : Total Pages :90 pages Book Rating :4.F/5 ( download)
Book Synopsis Decomposition Method for the Solution of Dual-angular Integer Programs by : Stanford University. Department of Operations Research. Systems Optimization Laboratory
Download or read book Decomposition Method for the Solution of Dual-angular Integer Programs written by Stanford University. Department of Operations Research. Systems Optimization Laboratory and published by . This book was released on 1974 with total page 90 pages. Available in PDF, EPUB and Kindle. Book excerpt: Integer linear programming problems whose constraint matrices have dual-angular structures arise in several types of applications, particularly those which seek to specify a strategy for future actions based on observed results of previous decisions. An implicit enumeration method for integer linear programming is developed for application to problems with such dual-angular constraint matrices. (Modified author abstract).
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 1990 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Barrier Decomposition for the Parallel Optimization of Block-angular Programs by : Gary L. Schultz
Download or read book Barrier Decomposition for the Parallel Optimization of Block-angular Programs written by Gary L. Schultz and published by . This book was released on 1992 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Basic Factorization for Block-angular Linear Programs by : Charles R. Winkler
Download or read book Basic Factorization for Block-angular Linear Programs written by Charles R. Winkler and published by . This book was released on 1974 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Enterprise Collaboration by : David M. Levermore
Download or read book Enterprise Collaboration written by David M. Levermore and published by Springer. This book was released on 2008-11-01 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book goes beyond the discussion of global databases and presents a general Enterprise Resources Market model to facilitate the management and integration of enterprise information resources in a cooperating mode. It is the first book to analyze the problem from the perspective of information management and to present a solution for a key aspect of the cooperation problem—on-demand information exchange.
Book Synopsis Distributed Decomposition of Block-Angular Linear Programs on a Hypercube Computer by :
Download or read book Distributed Decomposition of Block-Angular Linear Programs on a Hypercube Computer written by and published by . This book was released on 1989 with total page 30 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algorithms based on the Dantzig-Wolfe decomposition principle for linear programs are implemented on an Intel iPSC-2 Hypercube computer with 64- processors. Computational results with block-angular linear programs from diverse applications are reported. They indicate that the approach of distributed computation on relatively inexpensive multiple processor computers may be very cost-effective for large, structured linear programs. It is also shown that by studying certain characteristics of the interaction among the master and subproblems, one can select algorithms that best exploit the parallel processing environment. Keywords: Large-scale systems; Linear programming decomposition; Parallel processing.
Book Synopsis Primal-dual Decomposition Programming by : Earl Jennings Bell
Download or read book Primal-dual Decomposition Programming written by Earl Jennings Bell and published by . This book was released on 1965 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: A primal-dual method for solving linear programs with a block-angular matrix structure is presented which employs the Decomposition Principle of Dantzig and Wolfe, who first studied this structure. Preliminary results indicate that the proposed method is more efficient than the standard decomposition method which uses the twophase simplex method to solve an equivalent 'extremal program' with a reduced basis size whose coefficients are generated through the solution of linear subprograms. By contrast, the proposed method employs a primal-dual method and the coefficients are generated through subprograms with nonlinear objectives. These subprograms involve the maximization of a quotient of two linear functions subject to linear constraints in nonegative variables. Such problems are known as linear-fractional, rational objective, or hyperbolic programs and can be solved as a variant of standard linear programming. Under the conditions imposed by the primal-dual method, special parametric techniques can be employed to take advantage of particular matrix structures, such as the transportation structure, exhibited by the subprograms. (Author).
Book Synopsis Stochastic Linear Programming Algorithms by : Janos Mayer
Download or read book Stochastic Linear Programming Algorithms written by Janos Mayer and published by Taylor & Francis. This book was released on 2022-04-19 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: A computationally oriented comparison of solution algorithms for two stage and jointly chance constrained stochastic linear programming problems, this is the first book to present comparative computational results with several major stochastic programming solution approaches. The following methods are considered: regularized decomposition, stochastic decomposition and successive discrete approximation methods for two stage problems; cutting plane methods, and a reduced gradient method for jointly chance constrained problems. The first part of the book introduces the algorithms, including a unified approach to decomposition methods and their regularized counterparts. The second part addresses computer implementation of the methods, describes a testing environment based on a model management system, and presents comparative computational results with the various algorithms. Emphasis is on the computational behavior of the algorithms.
Book Synopsis Apors: Development In Diversity And Hearmony - Proceedings Of The Third Conference by : Kaoru Tone
Download or read book Apors: Development In Diversity And Hearmony - Proceedings Of The Third Conference written by Kaoru Tone and published by World Scientific. This book was released on 1995-02-28 with total page 640 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book consists of selected papers presented at the Third Conference of the Asian-Pacific Operational Research Societies. The selected papers cover broad areas of operations research, ranging from traditional to new directions in theory, algorithm and applications. Typical topics are linear and nonlinear programming, interior point method, combinatorial programming, scheduling, queueing theory, simulation, forecasting, inventory, telecommunication, finance, organizational intelligence, analytic hierarchy process, data envelopment analysis, fuzzy programming and others.
Book Synopsis Introduction to Linear Optimization and Extensions with MATLAB by : Roy H. Kwon
Download or read book Introduction to Linear Optimization and Extensions with MATLAB written by Roy H. Kwon and published by CRC Press. This book was released on 2013-09-05 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: Filling the need for an introductory book on linear programming that discusses the important ways to mitigate parameter uncertainty, Introduction to Linear Optimization and Extensions with MATLAB provides a concrete and intuitive yet rigorous introduction to modern linear optimization. In addition to fundamental topics, the book discusses current l
Book Synopsis Introduction to Global Optimization by : R. Horst
Download or read book Introduction to Global Optimization written by R. Horst and published by Springer Science & Business Media. This book was released on 2000-12-31 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: A textbook for an undergraduate course in mathematical programming for students with a knowledge of elementary real analysis, linear algebra, and classical linear programming (simple techniques). Focuses on the computation and characterization of global optima of nonlinear functions, rather than the locally optimal solutions addressed by most books on optimization. Incorporates the theoretical, algorithmic, and computational advances of the past three decades that help solve globally multi-extreme problems in the mathematical modeling of real world systems. Annotation copyright by Book News, Inc., Portland, OR
Download or read book Technical Abstract Bulletin written by and published by . This book was released on 1967 with total page 712 pages. Available in PDF, EPUB and Kindle. Book excerpt:
