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 Applied Parallel Computing Industrial Computation and Optimization written by Jerzy Wasniewski and published by Springer Science & Business Media. This book was released on 1996-12-11 with total page 744 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although the last decade has witnessed significant advances in control theory for finite and infinite dimensional systems, the stability and control of time-delay systems have not been fully investigated. Many problems exist in this field that are still unresolved, and there is a tendency for the numerical methods available either to be too general or too specific to be applied accurately across a range of problems. This monograph brings together the latest trends and new results in this field, with the aim of presenting methods covering a large range of techniques. Particular emphasis is placed on methods that can be directly applied to specific problems. The resulting book is one that will be of value to both researchers and practitioners.
Download or read book Parallel Algorithm Design in the WPRAM Model written by J. M. Nash and published by . This book was released on 1994 with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: "This paper describes the WPRAM programming model, supported on a derivative of the Bulk Synchronous Parallel (BSP) architecture. The WPRAM provides a weakly coherent shared address space with asynchronous concurrent requests for shared variables. All operations have an associated time cost, and are scalable with respect to increasing machine size. This provides a basis for designing scalable parallel algorithms whose time complexity accounts for all overheads. A simulator for the WPRAM enables absolute performance to be estimated, using machine parameters from Inmos T9000 and C104 components. We outline a programming methodology in which an algorithm is first expressed in terms of the more abstract Strong PRAM model. This algorithm is then transformed onto the WPRAM model by considering practical issues of data locality, process synchronization and granularity. The scalability characteristics of the algorithm can then be analysed; a new approach to assessing scalability is proposed. Experimental results from the simulator may be used to validate this analysis. These ideas are demonstrated using the Simplex method for linear programming as a case study."
Download or read book A Complete Primal Algorithm for Resolving Degenerate Linear Programs written by Steven Robert Dwyer and published by . This book was released on 1997 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Algorithms Probability Networks and Games written by Christos Zaroliagis and published by Springer. This book was released on 2015-09-07 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Festschrift volume is published in honor of Professor Paul G. Spirakis on the occasion of his 60th birthday. It celebrates his significant contributions to computer science as an eminent, talented, and influential researcher and most visionary thought leader, with a great talent in inspiring and guiding young researchers. The book is a reflection of his main research activities in the fields of algorithms, probability, networks, and games, and contains a biographical sketch as well as essays and research contributions from close collaborators and former PhD students.
Download or read book Linear programming written by Dakota Ulrich Greenwald and published by . This book was released on 1957 with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book New Simplex based Algorithms for Unconstrained Optimisation including Parallel Processing written by K. Bassiri and published by . This book was released on 1994 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: "The only effective new parallel numerical algorithm for unconstrained optimisation based on the classical simplex method (which was first made usable by Nelder and Mead (1965)), is that published by Torczon (Ph. D thesis 1989, paper 1991) as the Parallel Multi-Directional Search (PMDS) algorithm. Instead of the basic step being the reflection of the single vertex which maximises the objective function, Torczon reflects all other vertices through that which minimises the objective function. PMDS therefore requires n MIMD parallel processors, where n is the dimensionality of the problem. We address the problem of employing a small fixed number, or a small fraction of n, of parallel processors to achieve more modest speed-up but with modest additional resources. Torczon's numerical results for PMDS are restricted to only two test functions namely, extended Rosenbrock and (X̲ [superscript T] X̲), each with dimesionality up to 40. However, she also found the Nelder-Mead algorithm to be widely unreliable for six test functions in that it would apparently converge to a poor approximation which could not be further improved upon. We confirmed qualitatively the latter effect which we have termed 'restricted convergence' but anticipate further detailed investigation of this curious phenomenon which we also find occurs with Torczon's method. Our attempt at an improved parallel algorithm based on the classical simplex method was successful in that one new algorithm employing only three processors would always beat the Nelder-Mead and delays the onset of restricted convergence. However, though our new algorithm is faster than PMDS at very low dimensions (where the latter is unusable), at dimensionality above about 10 it experiences difficulty in achieving an accurate result with the same two test functions, thus leaving PMDS unchallenged for speed, albeit with a heavy demand on processors/resources. Some further research, for which this report lays a foundation, is discussed in detail: modifications of PMDS have already given results for several test functions which reduce the required time by a factor of several hundred and give higher accuracy (see later reports)."
Download or read book Parallel Processing and Applied Mathematics written by Roman Wyrzykowski and published by Springer. This book was released on 2012-07-03 with total page 789 pages. Available in PDF, EPUB and Kindle. Book excerpt: This two-volume-set (LNCS 7203 and 7204) constitutes the refereed proceedings of the 9th International Conference on Parallel Processing and Applied Mathematics, PPAM 2011, held in Torun, Poland, in September 2011. The 130 revised full papers presented in both volumes were carefully reviewed and selected from numerous submissions. The papers address issues such as parallel/distributed architectures and mobile computing; numerical algorithms and parallel numerics; parallel non-numerical algorithms; tools and environments for parallel/distributed/grid computing; applications of parallel/distributed computing; applied mathematics, neural networks and evolutionary computing; history of computing.
Download or read book The Complexity of the Simplex Algorithm written by James D. Currie and published by Carleton University, [Department of] Mathematics and Statistics. This book was released on 1985 with total page 88 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Linear Programming written by Dakota Ulrich Greenwald and published by Forgotten Books. This book was released on 2017-10-27 with total page 84 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Linear Programming: An Explanation of the Simplex Algorithm This work is essentially an exposition of the simplex algorithm as used in hand-computed solutions of linear programming problems. As originally developed by George B. Dantzig, this method was publicly presented in Monograph No. 13 of the Cowles Commission for Research in Economics in 1951. Later the applicability of the tech nique to industrial problems was demonstrated in several original instances by A. Charnes, W. W. Cooper, and their associates. From these studies an expanding interest in the general usefulness of the device rapidly developed. This interest was augmented by the publication in 1953 by Charnes ci dl. Of An Introduction to Linear Programming. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Download or read book Simplex Algorithm with a New Primal and Dual Pivot Rule written by Stanford University. Department of Operations Research. Systems Optimization Laboratory and published by . This book was released on 1994 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 2012-12-06 with total page 335 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 Applied Parallel Computing written by and published by . This book was released on 1996 with total page 746 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Surveys in Combinatorial Optimization written by S. Martello and published by Elsevier. This book was released on 2011-09-22 with total page 395 pages. Available in PDF, EPUB and Kindle. Book excerpt: A collection of papers surveying recent progress in the field of Combinatorial Optimization. Topics examined include theoretical and computational aspects (Boolean Programming, Probabilistic Analysis of Algorithms, Parallel Computer Models and Combinatorial Algorithms), well-known combinatorial problems (such as the Linear Assignment Problem, the Quadratic Assignment Problem, the Knapsack Problem and Steiner Problems in Graphs) and more applied problems (such as Network Synthesis and Dynamic Network Optimization, Single Facility Location Problems on Networks, the Vehicle Routing Problem and Scheduling Problems).
Download or read book The Simplex Method of Linear Programming written by Frederick Arthur FICKEN and published by . This book was released on 1961 with total page 58 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Linear Programming with the Simplex Algorithm written by Robert C. Ankony and published by . This book was released on 2012 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: The current trend in processor architectures towards multiple cores has led to a shift in program design emphasis to take advantage of architecture parallelization. The simplex algorithm presents an interesting case for parallelizing as it has many different components. As problem size increases to more and more nodes, the effect of even small performance improvements can be seen in the overall throughput of the problem. In this study we look at parallelizing different parts of the simplex algorithm, and compare those changes to optimizations done to the serial program. We also look at other research related to parallelization and optimization of the simplex algorithm. Looking at a literature search, it is seen that there is active research in the field, using different approaches to improve performance of the problem, as well as better matching problem type to algorithm type. While the research done in this paper is sound, the active research in the field shows that there is much to be done and much still being done to improve the simplex problem.
Download or read book Applied Mathematical Programming and Modeling III APMOD95 written by and published by . This book was released on 1998 with total page 538 pages. Available in PDF, EPUB and Kindle. Book excerpt:
