The Combinatorics Of Network Reliability

Author : Charles J. Colbourn
Publisher : Oxford University Press, USA
ISBN 13 :
Total Pages : 188 pages
Book Rating : 4.82/5 ( download)

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Download or read book The Combinatorics of Network Reliability written by Charles J. Colbourn and published by Oxford University Press, USA. This book was released on 1987 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book develops combinatorial tools which are useful for reliability analysis, as demonstrated with a probabilistic network model. Basic results in combinatorial enumeration are reviewed, along with classical theorems on connectivity and cutsets. More developed analysis involves extremal set theory, matroid theory, and polyhedral combinatorics, among other themes. The presentation includes proofs or their outlines for most of the main theorems, with the aim of highlighting combinatorial ideas. Details of relevant work are presented wherever feasible. The work is intended for advanced mathematics students and computer science specialists.

Author : Ilya B. Gertsbakh
Publisher : CRC Press
ISBN 13 : 1439817421
Total Pages : 221 pages
Book Rating : 4.21/5 ( download)

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Download or read book Models of Network Reliability written by Ilya B. Gertsbakh and published by CRC Press. This book was released on 2016-04-19 with total page 221 pages. Available in PDF, EPUB and Kindle. Book excerpt: Unique in its approach, Models of Network Reliability: Analysis, Combinatorics, and Monte Carlo provides a brief introduction to Monte Carlo methods along with a concise exposition of reliability theory ideas. From there, the text investigates a collection of principal network reliability models, such as terminal connectivity for networks with unre

Author : Ilya Gertsbakh
Publisher : Springer Science & Business Media
ISBN 13 : 3642223745
Total Pages : 86 pages
Book Rating : 4.47/5 ( download)

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Download or read book Network Reliability and Resilience written by Ilya Gertsbakh and published by Springer Science & Business Media. This book was released on 2011-09-05 with total page 86 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to the probabilistic description of the behavior of a network in the process of random removal of its components (links, nodes) appearing as a result of technical failures, natural disasters or intentional attacks. It is focused on a practical approach to network reliability and resilience evaluation, based on applications of Monte Carlo methodology to numerical approximation of network combinatorial invariants, including so-called multidimensional destruction spectra. This allows to develop a probabilistic follow-up analysis of the network in the process of its gradual destruction, to identify most important network components and to develop efficient heuristic algorithms for network optimal design. Our methodology works with satisfactory accuracy and efficiency for most applications of reliability theory to real –life problems in networks.

Author : Rubin Johnson
Publisher :
ISBN 13 :
Total Pages : 99 pages
Book Rating : 4.75/5 ( download)

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Download or read book Some Combinatorial Aspects of Network Reliability written by Rubin Johnson and published by . This book was released on 1982 with total page 99 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Daryl D Harms
Publisher : CRC Press
ISBN 13 : 9780849339806
Total Pages : 248 pages
Book Rating : 4.04/5 ( download)

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Download or read book Network Reliability written by Daryl D Harms and published by CRC Press. This book was released on 1995-06-16 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: Network Reliability: Experiments with a Symbolic Algebra Environment examines two intertwined topics: computational methods for computing bounds on three measures of network reliability, and a symbolic algebra system to support these computations. It describes, in algorithmic outlines, efficient techniques for reliability bounds and discusses the implementation of the techniques. It explores all-terminal reliability, two-terminal reliability, and reliability of interconnection networks. Consistent with real-world experience, the computational environment and results are strongly supported by sound theoretical development.

Author : Ilya Gertsbakh
Publisher : Springer Nature
ISBN 13 : 9811514585
Total Pages : 96 pages
Book Rating : 4.86/5 ( download)

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Download or read book Network Reliability written by Ilya Gertsbakh and published by Springer Nature. This book was released on 2019-11-15 with total page 96 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introductory book equips the reader to apply the core concepts and methods of network reliability analysis to real-life problems. It explains the modeling and critical analysis of systems and probabilistic networks, and requires only a minimal background in probability theory and computer programming. Based on the lecture notes of eight courses taught by the authors, the book is also self-contained, with no theory needed beyond the lectures. The primary focus is on essential “modus operandi,” which are illustrated in numerous examples and presented separately from the more difficult theoretical material.

Author : Taylor & Francis Group
Publisher :
ISBN 13 : 9781439828571
Total Pages : pages
Book Rating : 4.71/5 ( download)

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Download or read book Models of Network Reliability Analysis Combinatorics and Monte Carlo - Solutions Manual written by Taylor & Francis Group and published by . This book was released on 2009-09-28 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Fred S. Roberts
Publisher : American Mathematical Soc.
ISBN 13 : 9780821870921
Total Pages : 290 pages
Book Rating : 4.20/5 ( download)

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Download or read book Reliability of Computer and Communication Networks written by Fred S. Roberts and published by American Mathematical Soc.. This book was released on 1991-01-01 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reliability problems arise with increasing frequency as our modern systems of telecommunications, information transmission, transportation, and distribution become more and more complex. In December 1989 at DIMACS at Rutgers University, a Workshop on Reliability of Computer and Communications Networks was held to examine the discrete mathematical methods relevant to these problems. There were nearly ninety participants, including theoretical mathematicians, computer scientists, and electrical engineers from academia and industry, as well as network practitioners, engineers, and reliability planners from leading companies involved in the use of computer and communications networks. This volume, published jointly with the Association for Computing Machinery, contains the proceedings from this Workshop. The aim of the Workshop was to identify the latest trends and important open problems, as well as to survey potential practical applications. The Workshop explored questions of computation of reliability of existing systems and of creating new designs to insure high reliability, in addition to the closely related notion of survivability. Redundancy, single stage and multistage networks, interconnected networks, and fault tolerance were also covered. The Workshop emphasized practical applications, with many invited speakers from a variety of companies which are dealing with practical network reliability problems. The success of the Workshop in fostering many new interactions among researchers and practitioners is reflected in the proceedings, which provide an exciting look at some of the major advances at the forefront of this important field of research.

Author : Avinash Agrawal
Publisher :
ISBN 13 :
Total Pages : 29 pages
Book Rating : 4.66/5 ( download)

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Download or read book A Survey of Network Reliability written by Avinash Agrawal and published by . This book was released on 1983 with total page 29 pages. Available in PDF, EPUB and Kindle. Book excerpt: We present a brief survey of the current state of the art in network reliability. We survey only exact methods; Monte Carlo methods are not surveyed. Most network reliability problems are, in the worst case, NP-hard and are, in a sense, more difficult than many standard combinatorial optimization problems. Although the above sounds very discouraging, there are in fact linear and polynomial time algorithms for network reliability problems of special structure. We review general methods for network reliability computation and discuss the central role played by domination theory in network reliability computational complexity. We also point out the connection with the more general problem of computing the reliability of coherent structure. The class of coherent structures contains both directed and undirected networks as well as logic (or fault) tress without not gates.

Author : Ding-Zhu Du
Publisher : Springer
ISBN 13 : 9781441947529
Total Pages : 0 pages
Book Rating : 4.23/5 ( download)

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Download or read book Combinatorial Network Theory written by Ding-Zhu Du and published by Springer. This book was released on 2010-12-03 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: A basic problem for the interconnection of communications media is to design interconnection networks for specific needs. For example, to minimize delay and to maximize reliability, networks are required that have minimum diameter and maximum connectivity under certain conditions. The book provides a recent solution to this problem. The subject of all five chapters is the interconnection problem. The first two chapters deal with Cayley digraphs which are candidates for networks of maximum connectivity with given degree and number of nodes. Chapter 3 addresses Bruijn digraphs, Kautz digraphs, and their generalizations, which are candidates for networks of minimum diameter and maximum connectivity with given degree and number of nodes. Chapter 4 studies double loop networks, and Chapter 5 considers broadcasting and the Gossiping problem. All the chapters emphasize the combinatorial aspects of network theory. Audience: A vital reference for graduate students and researchers in applied mathematics and theoretical computer science.