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Assignment Problems in Parallel and Distributed Computing

2012-12-06 Computers
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Release : 2012-12-06
Genre : Computers
Kind : eBook
Book Rating : 038/5 ( reviews)

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Book Synopsis Assignment Problems in Parallel and Distributed Computing by : Shahid H. Bokhari

Download or read book Assignment Problems in Parallel and Distributed Computing written by Shahid H. Bokhari. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: This book has been written for practitioners, researchers and stu dents in the fields of parallel and distributed computing. Its objective is to provide detailed coverage of the applications of graph theoretic tech niques to the problems of matching resources and requirements in multi ple computer systems. There has been considerable research in this area over the last decade and intense work continues even as this is being written. For the practitioner, this book serves as a rich source of solution techniques for problems that are routinely encountered in the real world. Algorithms are presented in sufficient detail to permit easy implementa tion; background material and fundamental concepts are covered in full. The researcher will find a clear exposition of graph theoretic tech niques applied to parallel and distributed computing. Research results are covered and many hitherto unpublished spanning the last decade results by the author are included. There are many unsolved problems in this field-it is hoped that this book will stimulate further research.

The Assignment Problem in Distributed Computing

1992
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Release : 1992
Genre :
Kind : eBook
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Book Synopsis The Assignment Problem in Distributed Computing by : Anand Medepalli

Download or read book The Assignment Problem in Distributed Computing written by Anand Medepalli. This book was released on 1992. Available in PDF, EPUB and Kindle. Book excerpt:

The Quadratic Assignment Problem

2013-03-14 Mathematics
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Release : 2013-03-14
Genre : Mathematics
Kind : eBook
Book Rating : 879/5 ( reviews)

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Book Synopsis The Quadratic Assignment Problem by : E. Cela

Download or read book The Quadratic Assignment Problem written by E. Cela. This book was released on 2013-03-14. Available in PDF, EPUB and Kindle. Book excerpt: The quadratic assignment problem (QAP) was introduced in 1957 by Koopmans and Beckmann to model a plant location problem. Since then the QAP has been object of numerous investigations by mathematicians, computers scientists, ope- tions researchers and practitioners. Nowadays the QAP is widely considered as a classical combinatorial optimization problem which is (still) attractive from many points of view. In our opinion there are at last three main reasons which make the QAP a popular problem in combinatorial optimization. First, the number of re- life problems which are mathematically modeled by QAPs has been continuously increasing and the variety of the fields they belong to is astonishing. To recall just a restricted number among the applications of the QAP let us mention placement problems, scheduling, manufacturing, VLSI design, statistical data analysis, and parallel and distributed computing. Secondly, a number of other well known c- binatorial optimization problems can be formulated as QAPs. Typical examples are the traveling salesman problem and a large number of optimization problems in graphs such as the maximum clique problem, the graph partitioning problem and the minimum feedback arc set problem. Finally, from a computational point of view the QAP is a very difficult problem. The QAP is not only NP-hard and - hard to approximate, but it is also practically intractable: it is generally considered as impossible to solve (to optimality) QAP instances of size larger than 20 within reasonable time limits.

Parallel and Distributed Computation: Numerical Methods

2015-03-01 Mathematics
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Release : 2015-03-01
Genre : Mathematics
Kind : eBook
Book Rating : 159/5 ( reviews)

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Book Synopsis Parallel and Distributed Computation: Numerical Methods by : Dimitri Bertsekas

Download or read book Parallel and Distributed Computation: Numerical Methods written by Dimitri Bertsekas. This book was released on 2015-03-01. Available in PDF, EPUB and Kindle. Book excerpt: This highly acclaimed work, first published by Prentice Hall in 1989, is a comprehensive and theoretically sound treatment of parallel and distributed numerical methods. It focuses on algorithms that are naturally suited for massive parallelization, and it explores the fundamental convergence, rate of convergence, communication, and synchronization issues associated with such algorithms. This is an extensive book, which aside from its focus on parallel and distributed algorithms, contains a wealth of material on a broad variety of computation and optimization topics. It is an excellent supplement to several of our other books, including Convex Optimization Algorithms (Athena Scientific, 2015), Nonlinear Programming (Athena Scientific, 1999), Dynamic Programming and Optimal Control (Athena Scientific, 2012), Neuro-Dynamic Programming (Athena Scientific, 1996), and Network Optimization (Athena Scientific, 1998). The on-line edition of the book contains a 95-page solutions manual.

Parallel Algorithms for the Assignment Problem

1994 Combinatorial optimization
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Release : 1994
Genre : Combinatorial optimization
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Book Synopsis Parallel Algorithms for the Assignment Problem by : Christian Schütt

Download or read book Parallel Algorithms for the Assignment Problem written by Christian Schütt. This book was released on 1994. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: "Parallel processing is one way of increasing the computational power available when solving large combinatorial problems. Parallel systems consisting of a number of tigthly [sic] coupled powerful processors are used extensively. In such systems, no shared memory is available for data sharing. When used in the implementation of search- based algorithms such as Branch-and-Bound, the lack of shared memory presents no significant problem. Implementing polynomially bounded algorithms, however presents difficulties with regards to processor utilization. It is difficult to design algorithms, which scale well when the number of processors in the system is increased and at the same time are comparable with the fastest sequential algorithms with respect to measured running times. In this work we have studied three different distributed algorithms for the assignment problem: one based on the traditional Hungarian method [11], one based on the shortest augmenting path variant hereof [1], and one based on the auction algorithm [4]. The algorithms have been implemented on a distributed system with 16 i860- processors each with 16 MB memory. Experiments have been made with a range of problems, the largest being dense problems with cost matrix of dimension 1500 and cost coefficient range from 1 to 1000000. We present the computational results obtained and discuss the difficulties in the algorithmic design caused by the lack of shared memory."

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