Algebraic And Computational Aspects Of Network Reliability And Problems

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Algebraic and Computational Aspects of Network Reliability and Problems

Author : Douglas Shier
Publisher :
ISBN 13 :
Total Pages : 5 pages
Book Rating : 4.:/5 (227 download)

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Book Synopsis Algebraic and Computational Aspects of Network Reliability and Problems by : Douglas Shier

Download or read book Algebraic and Computational Aspects of Network Reliability and Problems written by Douglas Shier and published by . This book was released on 1986 with total page 5 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is important to be able to assess the reliability of a complex system in terms of the reliabilities of its components. This type of problem arises with increasing frequency in the analysis of telecommunication and distribution systems, which can be represented as networks. The present research employs an underlying algebraic structure to study network reliability problems and to develop new algorithms for their solution. Iterative techniques for calculating reliability (both exactly and approximately) have been developed for both general networks and a difficult class of specialized networks. These techniques allow the solution of fairly complex networks, ones that have previously resisted analysis. In addition, the underlying structure of network reliability problems has been approached by studying the combinatorial properties of a certain polynomial defined with respect to the underlying graph topology.

Algebraic and Computational Aspects of Network Reliability Problems

Author : James P. Jarvis
Publisher :
ISBN 13 :
Total Pages : 7 pages
Book Rating : 4.:/5 (227 download)

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Book Synopsis Algebraic and Computational Aspects of Network Reliability Problems by : James P. Jarvis

Download or read book Algebraic and Computational Aspects of Network Reliability Problems written by James P. Jarvis and published by . This book was released on 1988 with total page 7 pages. Available in PDF, EPUB and Kindle. Book excerpt: This research has advanced both theoretical and computational aspects of evaluating the reliability of a complex system in terms of its structure and the reliability of its components. This type of problem arises in particular in the design and evaluation of telecommunication and distribution systems, which are commonly modelled as networks. The present research employs an algebraic approach for studying the reliability of such network systems. This approach has not only unified certain theoretical aspects of network reliability problems but has always suggested a number of new algorithms for calculating various reliability measures. Based on this approach, both exact and approximate computational schemes have been developed, together with supporting data structures for implementing the necessary computations in efficient manner. Approximation schemes, also based on an underlying algebraic structure, have also been developed for evaluating more general measures of system performance such as average delay or throughput. (kr).

Algebraic Aspects of Network Reliability Problems

Author : Douglas R. Shier
Publisher :
ISBN 13 :
Total Pages : 10 pages
Book Rating : 4.:/5 (227 download)

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Book Synopsis Algebraic Aspects of Network Reliability Problems by : Douglas R. Shier

Download or read book Algebraic Aspects of Network Reliability Problems written by Douglas R. Shier and published by . This book was released on 1991 with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt: This research addresses both theoretical and computational aspects of evaluating the reliability of a complex system in terms of its structure and the reliability of its individual components. This type of problem frequently arises in the design and evaluation of telecommunication, logistics, and distribution systems, which are commonly modelled using networks. The present research employs an algebraic approach for studying the reliability of such network systems. This approach has not only unified a variety of theoretical results but has also produced a number of new algorithms for calculating various measures of system reliability. Based on this approach, both exact and approximate computational schemes have been developed, together with supporting data structures for implementing the necessary computations in an efficient manner. Approximation schemes, also based on an underlying algebraic structure, have also been developed for evaluating more general measures of system performance, such as average delay or throughput in stochastic systems. In addition this research has recently led to the study of efficient methods for generating cutsets in networks and has produced substantial improvements relative to existing methods for this fundamental task. (Author).

Algebraic Aspects of Computing Network Reliability

Author : D. R. Shier
Publisher :
ISBN 13 :
Total Pages : 24 pages
Book Rating : 4.:/5 (227 download)

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Book Synopsis Algebraic Aspects of Computing Network Reliability by : D. R. Shier

Download or read book Algebraic Aspects of Computing Network Reliability written by D. R. Shier and published by . This book was released on 1986 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt: The problem of calculating the two-terminal reliability of a network having edges that fail randomly and independently is known to be NP-hard, even in the case of directed acyclic networks. This paper discusses an iterative technique that provides at each iteration both upper and lower bounds on the exact reliability value. These bounds are shown to converge to the exact answer for the case of acyclic networks. Computational results indicate that for certain classes of graphs these bounds converge rapidly and provide excellent approximations to the true network reliability. (Author).

Network Reliability

Author : Daryl D Harms
Publisher : CRC Press
ISBN 13 : 9780849339806
Total Pages : 248 pages
Book Rating : 4.3/5 (398 download)

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Book Synopsis Network Reliability by : Daryl D Harms

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.

Scientific and Technical Aerospace Reports

Author :
Publisher :
ISBN 13 :
Total Pages : 456 pages
Book Rating : 4.:/5 (3 download)

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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 456 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.

Network Reliability and Algebraic Structures

Author : Douglas R. Shier
Publisher :
ISBN 13 :
Total Pages : 168 pages
Book Rating : 4.:/5 (45 download)

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Book Synopsis Network Reliability and Algebraic Structures by : Douglas R. Shier

Download or read book Network Reliability and Algebraic Structures written by Douglas R. Shier and published by . This book was released on 1991 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: Networks of computer systems, distribution systems, and telecommunication systems play an increasingly important role in our lives. This book is concerned with analysing and assessing the reliability of such networks whose components are prone to failure.

Reliability of Computer and Communication Networks

Author : Fred S. Roberts
Publisher : American Mathematical Soc.
ISBN 13 : 9780821870921
Total Pages : 290 pages
Book Rating : 4.8/5 (79 download)

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Book Synopsis Reliability of Computer and Communication Networks by : Fred S. Roberts

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.

Technical Reports Awareness Circular : TRAC.

Author :
Publisher :
ISBN 13 :
Total Pages : 746 pages
Book Rating : 4.E/5 ( download)

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Book Synopsis Technical Reports Awareness Circular : TRAC. by :

Download or read book Technical Reports Awareness Circular : TRAC. written by and published by . This book was released on 1987-02 with total page 746 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Path Problems in Networks

Author : John Baras
Publisher : Springer Nature
ISBN 13 : 3031799836
Total Pages : 65 pages
Book Rating : 4.0/5 (317 download)

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Book Synopsis Path Problems in Networks by : John Baras

Download or read book Path Problems in Networks written by John Baras and published by Springer Nature. This book was released on 2022-06-01 with total page 65 pages. Available in PDF, EPUB and Kindle. Book excerpt: The algebraic path problem is a generalization of the shortest path problem in graphs. Various instances of this abstract problem have appeared in the literature, and similar solutions have been independently discovered and rediscovered. The repeated appearance of a problem is evidence of its relevance. This book aims to help current and future researchers add this powerful tool to their arsenal, so that they can easily identify and use it in their own work. Path problems in networks can be conceptually divided into two parts: A distillation of the extensive theory behind the algebraic path problem, and an exposition of a broad range of applications. First of all, the shortest path problem is presented so as to fix terminology and concepts: existence and uniqueness of solutions, robustness to parameter changes, and centralized and distributed computation algorithms. Then, these concepts are generalized to the algebraic context of semirings. Methods for creating new semirings, useful for modeling new problems, are provided. A large part of the book is then devoted to numerous applications of the algebraic path problem, ranging from mobile network routing to BGP routing to social networks. These applications show what kind of problems can be modeled as algebraic path problems; they also serve as examples on how to go about modeling new problems. This monograph will be useful to network researchers, engineers, and graduate students. It can be used either as an introduction to the topic, or as a quick reference to the theoretical facts, algorithms, and application examples. The theoretical background assumed for the reader is that of a graduate or advanced undergraduate student in computer science or engineering. Some familiarity with algebra and algorithms is helpful, but not necessary. Algebra, in particular, is used as a convenient and concise language to describe problems that are essentially combinatorial. Table of Contents: Classical Shortest Path / The Algebraic Path Problem / Properties and Computation of Solutions / Applications / Related Areas / List of Semirings and Applications

Government reports annual index

Author :
Publisher :
ISBN 13 :
Total Pages : 1256 pages
Book Rating : 4.3/5 (129 download)

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Book Synopsis Government reports annual index by :

Download or read book Government reports annual index written by and published by . This book was released on 199? with total page 1256 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Government Reports Announcements & Index

Author :
Publisher :
ISBN 13 :
Total Pages : 1332 pages
Book Rating : 4.:/5 (334 download)

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Book Synopsis Government Reports Announcements & Index by :

Download or read book Government Reports Announcements & Index written by and published by . This book was released on 1989 with total page 1332 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Government Reports Annual Index: Keyword A-L

Author :
Publisher :
ISBN 13 :
Total Pages : 1260 pages
Book Rating : 4.:/5 (3 download)

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Book Synopsis Government Reports Annual Index: Keyword A-L by :

Download or read book Government Reports Annual Index: Keyword A-L written by and published by . This book was released on 1987 with total page 1260 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Applications of Discrete Mathematics

Author : Richard D. Ringeisen
Publisher : SIAM
ISBN 13 : 9780898712193
Total Pages : 250 pages
Book Rating : 4.7/5 (121 download)

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Book Synopsis Applications of Discrete Mathematics by : Richard D. Ringeisen

Download or read book Applications of Discrete Mathematics written by Richard D. Ringeisen and published by SIAM. This book was released on 1988-01-01 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Algorithmic Aspects in Information and Management

Author : Andrew Goldberg
Publisher : Springer
ISBN 13 : 3642021581
Total Pages : 335 pages
Book Rating : 4.6/5 (42 download)

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Book Synopsis Algorithmic Aspects in Information and Management by : Andrew Goldberg

Download or read book Algorithmic Aspects in Information and Management written by Andrew Goldberg and published by Springer. This book was released on 2009-06-18 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the 5th International Conference on Algorithmic Aspects in Information Management, AAIM 2009, held in San Francisco, CA, USA, in June 2009. The 25 papers presented together with the abstracts of two invited talks were carefully reviewed and selected for inclusion in this book. While the areas of information management and management science are full of algorithmic challenges, the proliferation of data (Internet, biology, finance etc) has called for the design of efficient and scalable algorithms and data structures for their management and processing. This conference is intended for original algorithmic research on immediate applications and/or fundamental problems pertinent to information management and management science, broadly construed. The conference aims at bringing together researchers in Computer Science, Operations Research, Economics, Game Theory, and related disciplines.

Computers, Software Engineering, and Digital Devices

Author : Richard C. Dorf
Publisher : CRC Press
ISBN 13 : 1351836544
Total Pages : 734 pages
Book Rating : 4.3/5 (518 download)

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Book Synopsis Computers, Software Engineering, and Digital Devices by : Richard C. Dorf

Download or read book Computers, Software Engineering, and Digital Devices written by Richard C. Dorf and published by CRC Press. This book was released on 2018-10-03 with total page 734 pages. Available in PDF, EPUB and Kindle. Book excerpt: In two editions spanning more than a decade, The Electrical Engineering Handbook stands as the definitive reference to the multidisciplinary field of electrical engineering. Our knowledge continues to grow, and so does the Handbook. For the third edition, it has expanded into a set of six books carefully focused on a specialized area or field of study. Each book represents a concise yet definitive collection of key concepts, models, and equations in its respective domain, thoughtfully gathered for convenient access. Computers, Software Engineering, and Digital Devices examines digital and logical devices, displays, testing, software, and computers, presenting the fundamental concepts needed to ensure a thorough understanding of each field. It treats the emerging fields of programmable logic, hardware description languages, and parallel computing in detail. Each article includes defining terms, references, and sources of further information. Encompassing the work of the world's foremost experts in their respective specialties, Computers, Software Engineering, and Digital Devices features the latest developments, the broadest scope of coverage, and new material on secure electronic commerce and parallel computing.

Encyclopedia of Computer Science and Technology

Author : Harry Henderson
Publisher : Infobase Publishing
ISBN 13 : 1438110030
Total Pages : 593 pages
Book Rating : 4.4/5 (381 download)

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Book Synopsis Encyclopedia of Computer Science and Technology by : Harry Henderson

Download or read book Encyclopedia of Computer Science and Technology written by Harry Henderson and published by Infobase Publishing. This book was released on 2009 with total page 593 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents an illustrated A-Z encyclopedia containing approximately 600 entries on computer and technology related topics.