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Basic Factorization For Block Angular Linear Programs
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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 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 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 Large-scale Linear Programming Using the Cholesky Factorization by : M. A. Saunders
Download or read book Large-scale Linear Programming Using the Cholesky Factorization written by M. A. Saunders and published by . This book was released on 1972 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis An Explicit Factorization for Solving Multistage Stochastic Linear Programs by : Derek Holmes
Download or read book An Explicit Factorization for Solving Multistage Stochastic Linear Programs written by Derek Holmes and published by . This book was released on 1993 with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Mathematical Programming by : Richard Cottle
Download or read book Mathematical Programming written by Richard Cottle and published by . This book was released on 1985 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Potential Function Methods for Approximately Solving Linear Programming Problems: Theory and Practice by : Daniel Bienstock
Download or read book Potential Function Methods for Approximately Solving Linear Programming Problems: Theory and Practice written by Daniel Bienstock and published by Springer Science & Business Media. This book was released on 2006-04-11 with total page 123 pages. Available in PDF, EPUB and Kindle. Book excerpt: Potential Function Methods For Approximately Solving Linear Programming Problems breaks new ground in linear programming theory. The book draws on the research developments in three broad areas: linear and integer programming, numerical analysis, and the computational architectures which enable speedy, high-level algorithm design. During the last ten years, a new body of research within the field of optimization research has emerged, which seeks to develop good approximation algorithms for classes of linear programming problems. This work both has roots in fundamental areas of mathematical programming and is also framed in the context of the modern theory of algorithms. The result of this work, in which Daniel Bienstock has been very much involved, has been a family of algorithms with solid theoretical foundations and with growing experimental success. This book will examine these algorithms, starting with some of the very earliest examples, and through the latest theoretical and computational developments.
Book Synopsis Linear Programming by : Vašek Chvátal
Download or read book Linear Programming written by Vašek Chvátal and published by Macmillan. This book was released on 1983-09-15 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This comprehensive treatment of the fundamental ideas and principles of linear programming covers basic theory, selected applications, network flow problems, and advanced techniques. Using specific examples to illuminate practical and theoretical aspects of the subject, the author clearly reveals the structures of fully detailed proofs. The presentation is geared toward modern efficient implementations of the simplex method and appropriate data structures for network flow problems. Completely self-contained, it develops even elementary facts on linear equations and matrices from the beginning."--Back cover.
Download or read book Mathematical Programming Study written by and published by . This book was released on 1985 with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Linear Programming by : Saul I. Gass
Download or read book Linear Programming written by Saul I. Gass and published by Courier Corporation. This book was released on 2003-01-01 with total page 545 pages. Available in PDF, EPUB and Kindle. Book excerpt: Comprehensive, well-organized volume, suitable for undergraduates, covers theoretical, computational, and applied areas in linear programming. Expanded, updated edition; useful both as a text and as a reference book. 1995 edition.
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 1995 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lists citations with abstracts for aerospace related reports obtained from world wide sources and announces documents that have recently been entered into the NASA Scientific and Technical Information Database.
Book Synopsis Studies on Mathematical Programming by : András Prékopa
Download or read book Studies on Mathematical Programming written by András Prékopa and published by . This book was released on 1980 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Computation and Applied Mathematics by :
Download or read book Computation and Applied Mathematics written by and published by . This book was released on 1993 with total page 80 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Inventory of energy research and development--1973-1975 by : Oak Ridge National Laboratory
Download or read book Inventory of energy research and development--1973-1975 written by Oak Ridge National Laboratory and published by . This book was released on 1976 with total page 1324 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Solution Methods for Stochastic Dynamic Linear Programs by : John R. Birge
Download or read book Solution Methods for Stochastic Dynamic Linear Programs written by John R. Birge and published by . This book was released on 1980 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt: Linear programs have been formulated for many practical situations that require decisions made periodically through time. These dynamic linear programs often involve uncertainties. Deterministic solutions of these problems may lead to costly incorrect decisions, and, when a stochastic solution is attempted the problem may become too large. In this report, we present methods for reducing the computational cost of these stochastic programs, and we show conditions under which the stochastic program need not be solved. Our methods are based on the large-scale programming techniques of decomposition, partitioning, and basic factorization. (Author).
Book Synopsis The application of decomposition to transportation network analysis by :
Download or read book The application of decomposition to transportation network analysis written by and published by . This book was released on 1976 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Demand Bibliography written by and published by . This book was released on 1989 with total page 158 pages. Available in PDF, EPUB and Kindle. Book excerpt: