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Solving The 0 1 Knapsack Problem On A Distributed Memory Multicomputer Using A Parallel Depth First Branch And Bound Algorithm
Download Solving The 0 1 Knapsack Problem On A Distributed Memory Multicomputer Using A Parallel Depth First Branch And Bound Algorithm full books in PDF, epub, and Kindle. Read online Solving The 0 1 Knapsack Problem On A Distributed Memory Multicomputer Using A Parallel Depth First Branch And Bound Algorithm ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!
Book Synopsis Solving the 0-1 Knapsack Problem on a Distributed Memory Multicomputer Using a Parallel Depth-first Branch and Bound Algorithm by : Erik Tärnvik
Download or read book Solving the 0-1 Knapsack Problem on a Distributed Memory Multicomputer Using a Parallel Depth-first Branch and Bound Algorithm written by Erik Tärnvik and published by . This book was released on 1993 with total page 22 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Transputer Research and Applications 7 by : North American Transputer Users Group. Conference
Download or read book Transputer Research and Applications 7 written by North American Transputer Users Group. Conference and published by IOS Press. This book was released on 1995 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work comprises the proceedings of the Transputer Research and Applications Conference held in Georgia from October 23rd to October 25th, 1994. The conference is sponsored by the North American Transputer Users Group (NATUG).
Book Synopsis Method for the Solution of the Multi-Dimensional 0/1 Knapsack Problem by : H. Martin Weingartner
Download or read book Method for the Solution of the Multi-Dimensional 0/1 Knapsack Problem written by H. Martin Weingartner and published by Sagwan Press. This book was released on 2018-02-07 with total page 74 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Book Synopsis Parallel Algorithms for Knapsack Type Problems by : Vassil Alexandrov
Download or read book Parallel Algorithms for Knapsack Type Problems written by Vassil Alexandrov and published by World Scientific. This book was released on 1999 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book brings together current research direction in the mapping of dynamic programming recurrence equations for Knapsack Type problems, which include Unbounded Knapsack Problem, 0/1 Knapsack Problem, Subset Sum Problem, Change Making Problem, onto so-called regular parallel architectures. In particular, it focuses on heuristic and more formal techniques for mapping. The text is based on substantially revised papers published by the authors and their colleagues in the literature but re-written to provide an overall view of the subject area.
Book Synopsis Knapsack Problems by : Hans Kellerer
Download or read book Knapsack Problems written by Hans Kellerer and published by Springer Science & Business Media. This book was released on 2004-02-20 with total page 572 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a full-scale presentation of all methods and techniques available for the solution of the Knapsack problem. This most basic combinatorial optimization problem appears explicitly or as a subproblem in a wide range of optimization models with backgrounds such diverse as cutting and packing, finance, logistics or general integer programming. This monograph spans the range from a comprehensive introduction of classical algorithmic methods to the unified presentation of the most recent and advanced results in this area many of them originating from the authors. The chapters dealing with particular versions and extensions of the Knapsack problem are self-contained to a high degree and provide a valuable source of reference for researchers. Due to its simple structure, the Knapsack problem is an ideal model for introducing solution techniques to students of computer science, mathematics and economics. The first three chapters give an in-depth treatment of several basic techniques, making the book also suitable as underlying literature for courses in combinatorial optimization and approximation.
Book Synopsis A Parallel Algorithm for the 0/1 Knapsack Problem by : Ping Zhang
Download or read book A Parallel Algorithm for the 0/1 Knapsack Problem written by Ping Zhang and published by . This book was released on 1990 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A Study of the Knapsack Problem by : Lynn Ellen Hughes
Download or read book A Study of the Knapsack Problem written by Lynn Ellen Hughes and published by . This book was released on 1987 with total page 158 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Dynamic Programming and Tight Bounds for the 0-1 Knapsack Problem by : Silvano Martello
Download or read book Dynamic Programming and Tight Bounds for the 0-1 Knapsack Problem written by Silvano Martello and published by . This book was released on 1997 with total page 19 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: "This paper presents a new approach to the exact solution of the 0-1 Knapsack Problem which combines dynamic programming and tight upper bounds into an overall robust algorithm. It is shown how additional constraints may be generated and surrogate relaxed. The solution of the relaxed problem gives a tight upper bound, and in many situations also an optimal lower bound. The enumeration is based on dynamic programming, which ensures pseudo-polynomial worst-case solution times. The algorithm does not use the classical approach to core problems. Instead of choosing a core as a collection of items with profit-to-weight ratios close to those of the break item, we use some heuristic rules to find a collection of items which fit well together. These are used as an initial core, which is gradually expanded according to some greedy principles. The algorithm has excellent solution times, being able to solve very large instances with bounded coefficients within less than one second. There is basically no difference in the solution times of 'easy' and 'hard' instances found in the literature."
Book Synopsis Comparison of Parallel Algorithms for the 0-1 Knapsack Problem on Networked Computers by : Rebecca A. Hunt
Download or read book Comparison of Parallel Algorithms for the 0-1 Knapsack Problem on Networked Computers written by Rebecca A. Hunt and published by . This book was released on 2004 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Development and Analysis of a Branch and Bound Algorithm for the Multi-dimensional Knapsack Problem by : Lawrence Everett Walters
Download or read book Development and Analysis of a Branch and Bound Algorithm for the Multi-dimensional Knapsack Problem written by Lawrence Everett Walters and published by . This book was released on 1968 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Analysis of the Parallel Branch-and-bound Algorithm on Shared Memory Computers by : A. P. Sprague
Download or read book Analysis of the Parallel Branch-and-bound Algorithm on Shared Memory Computers written by A. P. Sprague and published by . This book was released on 1990 with total page 13 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Solving Least Squares Problems on Distributed Memory Machines by :
Download or read book Solving Least Squares Problems on Distributed Memory Machines written by and published by . This book was released on 1990 with total page 99 pages. Available in PDF, EPUB and Kindle. Book excerpt: We consider solving unconstrained least squares and equality constrained least squares problems on distributed memory multi-processors. First, we examine some issues related to matrix computations in general, on such architectures. We then describe three different algorithms to compute an orthogonal factorization of a matrix on a multi-processor, which are well suited for dense matrices. As for sparse matrices, efficient solution of problems involving large, sparse matrices on distributed memory multi-processors calls for the use of static data structures. Often, at the same time, it is critical to detect the rank of a matrix during the factorization to accurate results. We describe a rank detection strategy, using an incremental condition estimator, that computes a factorization using pre-determined static data structure. We present experimental evidence to show that the accuracy of the rank detection algorithm is comparable to the column pivoting and another recent procedure by Bischof. We further demonstrate that the algorithm is quite suitable for parallel sparse matrix factorizations, by showing good speed-ups on a hypercube with up to 128 processors. We use this algorithm to detect the rank of the constraint matrix in solving the equality constrained least squares problem. We use the weighting approach to solve the equality constrained least square problem, with two iterations of modified deferred correction technique, to improve the accuracy of the original solution. (KR).
Book Synopsis A Minimal Algorithm for the 0-1 Knapsack Problem by : David Pisinger
Download or read book A Minimal Algorithm for the 0-1 Knapsack Problem written by David Pisinger and published by . This book was released on 1994 with total page 20 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: "Although several large sized 0-1 Knapsack Problems (KP) may be easily solved, it is often the case that most of the computational effort is used for preprocessing, i.e. sorting and reduction. In order to avoid this problem it has been proposed to solve the so-called core of the problem: a Knapsack Problem defined on a small subset of the variables. But the exact core cannot be identified without solving KP, so till now approximated core sizes had to be used. In this paper we present an algorithm for KP which has the property that the obtained core size is minimal, and that the computational effort for sorting and reduction also is minimal. The algorithm is based on a dynamic programming approach, where the core size is extended by need, and the sorting and reduction is performed in a similar 'lazy' way. The breadth-first search of the dynamic programming approach implies that all possible variations of the solution vector have been tested, before a new variable is introduced to the core. As a consequence, no unnecessary sorting and reduction is performed thus ensuring minimality. Computational experiments are presented for several commonly occurring types of data instances. Experience from these tests indicate that the presented approach outperforms any known algorithm for KP."
Book Synopsis Algorithm relax-and-cut for the 0-1 quadratic knapsack problem by :
Download or read book Algorithm relax-and-cut for the 0-1 quadratic knapsack problem written by and published by . This book was released on 1907 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Consideramos o Problema Quadrático da Mochila 0-1 (QKP), que consiste em maximizar uma função booleana quadrática sujeito a uma restrição de capacidade linear. O problema possui aplicações em várias áreas, como por exemplo, telecomunicações. engenharia financeira, problemas de localização e teoria dos grafos (clique máximo). Propomos um algoritmo de Branch-and-Bound para resolver exatamente QKP, baseado em Relaxação Lagrangeana. Inicialmente, linearizamos a formulação do problema acima, e em seguida, aplicamos a técnica de relax-and-cut dinamicamente à relaxação contínua do problema, utilizando algumas classes de desigualdades válidas. O método do subgradiente é usado neste processo. Propomos também uma nova heurística primal para QKP, que obtém soluções melhores do que heurísticas propostas anteriormente, encontrando a solução ótima em todas as instâncias que consideramos. A boa qualidade dos limites superior e inferior é traduzida em gap's pequenos no nó raiz da árvore de enumeração (em geral, menor do que 1%, inclusive para instâncias difíceis). Isto, aliado a testes de fixação de variáveis, permite resolver exatamente QKP em poucos nós da árvore de enumeração. Introduzimos uma maneira de gerar instâncias aleatórias mais difíceis do que as instâncias na literatura. Apresentamos resultados computacionais para instâncias geradas aleatoriamente (instâncias da literatura, e as novas instâncias mais difíceis) para QKP de tamanhos e densidades diferentes; e também para instâncias conhecidas do problema de clique máxima.
Book Synopsis Parallel Sorting Algorithms by : Selim G. Akl
Download or read book Parallel Sorting Algorithms written by Selim G. Akl and published by Academic Press. This book was released on 2014-06-20 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: Parallel Sorting Algorithms explains how to use parallel algorithms to sort a sequence of items on a variety of parallel computers. The book reviews the sorting problem, the parallel models of computation, parallel algorithms, and the lower bounds on the parallel sorting problems. The text also presents twenty different algorithms, such as linear arrays, mesh-connected computers, cube-connected computers. Another example where algorithm can be applied is on the shared-memory SIMD (single instruction stream multiple data stream) computers in which the whole sequence to be sorted can fit in the respective primary memories of the computers (random access memory), or in a single shared memory. SIMD processors communicate through an interconnection network or the processors communicate through a common and shared memory. The text also investigates the case of external sorting in which the sequence to be sorted is bigger than the available primary memory. In this case, the algorithms used in external sorting is very similar to those used to describe internal sorting, that is, when the sequence can fit in the primary memory, The book explains that an algorithm can reach its optimum possible operating time for sorting when it is running on a particular set of architecture, depending on a constant multiplicative factor. The text is suitable for computer engineers and scientists interested in parallel algorithms.
Book Synopsis Method for the Solution of the Multi-Dimensional 0/1 Knapsack Problem - Primary Source Edition by : H. Martin Weingartner
Download or read book Method for the Solution of the Multi-Dimensional 0/1 Knapsack Problem - Primary Source Edition written by H. Martin Weingartner and published by Nabu Press. This book was released on 2013-10 with total page 74 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a reproduction of a book published before 1923. This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process. We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of printed works worldwide. We appreciate your understanding of the imperfections in the preservation process, and hope you enjoy this valuable book.
Book Synopsis Parallel Algorithms for Machine Intelligence and Vision by : Vipin Kumar
Download or read book Parallel Algorithms for Machine Intelligence and Vision written by Vipin Kumar and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 445 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent research results in the area of parallel algorithms for problem solving, search, natural language parsing, and computer vision, are brought together in this book. The research reported demonstrates that substantial parallelism can be exploited in various machine intelligence and vision problems. The chapter authors are prominent researchers actively involved in the study of parallel algorithms for machine intelligence and vision. Extensive experimental studies are presented that will help the reader in assessing the usefulness of an approach to a specific problem. Intended for students and researchers actively involved in parallel algorithms design and in machine intelligence and vision, this book will serve as a valuable reference work as well as an introduction to several research directions in these areas.
