A Set Theoretic Treatment Of Coherent Systems
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A Set Theoretic Treatment Of Coherent Systems
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Author : Richard Wesley Butterworth
language : en
Publisher:
Release Date : 1971
A Set Theoretic Treatment Of Coherent Systems written by Richard Wesley Butterworth and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971 with System theory categories.
The paper develops properties of coherent systems from a set theoretic viewpoint with particular emphasis on modules of coherent systems. The methods used here demonstrate concisely the previously reported properties of modules as well as some new properties. Specifically, min path sets and min cut sets of a coherent system are given several characterizations. The modularity of a subset of components is given a new characterization which is used as a definition. The situation under which a set and its complement are simultaneously modules is characterized. Finally, the established three modules theorem is given a new proof. (Author).
Set Theoretic Signed Domination For Coherent Systems
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Author : Richard E. Barlow
language : en
Publisher:
Release Date : 1982
Set Theoretic Signed Domination For Coherent Systems written by Richard E. Barlow and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982 with categories.
A recent combinatorial result relevant to the computational complexity of undirected networks is extended to include all coherent structures. This set-theoretic result provides computational insight for the problem of computing k-out-of-n system reliability, for example. All results are illustrated via simple networks. (Author).
Stochastic Models In Reliability Theory
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Author : S. Osaki
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-08
Stochastic Models In Reliability Theory written by S. Osaki and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-08 with Business & Economics categories.
The Theory Of 2 Structures
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Author : Andrzej Ehrenfeucht
language : en
Publisher: World Scientific
Release Date : 1999
The Theory Of 2 Structures written by Andrzej Ehrenfeucht and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Mathematics categories.
The theory of 2-structures provides a convenient framework for decomposition and transformation of mathematical systems where one or several different binary relationships hold between the objects of the system. In particular, it forms a useful framework for decomposition and transformation of graphs. The decomposition methods presented in this book correspond closely to the top-down design methods studied in theoretical computer science. The transformation methods considered here have a natural interpretation in the dynamic evolution of certain kinds of communication networks. From the mathematical point of view, the clan decomposition method presented here, also known as modular decomposition or substitution decomposition, is closely related to the decomposition by quotients in algebra. The transformation method presented here is based on labelled 2-structures over groups, the theory of which generalizes the well-studied theory of switching classes of graphs. This book is both a text and a monograph. As a monograph, the results concerning the decomposition and transformation of 2-structures are presented in a unified way. In addition, detailed notes on references are provided at the end of each chapter. These notes allow the reader to trace the origin of many notions and results, and to browse through the literature in order to extend the material presented in the book. To facilitate its use as a textbook, there are numerous examples and exercises which provide an opportunity for the reader to check his or her understanding of the discussed material. Furthermore, the text begins with preliminaries on partial orders, semigroups, groups and graphs to the extent needed for the book.
Coherent Structures And Simple Games
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Author : K.G. Ramamurthy
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Coherent Structures And Simple Games written by K.G. Ramamurthy and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Technology & Engineering categories.
The motivation for this monograph can be traced to a seminar on Simple Games given by Professor S.H. Tijs of the Catholic University at Nijmegen way back in 1981 or 1982 at the Delhi campus of the Indian Statistical Institute. As an ap plied statistician and a consultant in quality control, I was naturally interested in Reliability Theory. I was aquainted with topics in reliability like coherent systems, importance of components etc., mainly through Barlow and Proschan's book. At the seminar given by Professor Tijs, I noticed the striking similarity between the concepts in reliability and simple games and this kindled my interest in simple games. When I started going deep into the literature of simple games, I noticed that a number of concepts as well as results which were well known in game theory were rediscovered much later by researchers in reliability. Though the conceptual equivalence of coherent structures and simple games has been noticed quite early, it is not that much well known. In fact, the theoretical developments have taken place practically independent of each other, with considerable duplication of research effort. The basic objective of this monograph is to unify some of the concepts and developments in reliability and simple games so as to avoid further duplication.
Reliability Modeling With Computer And Maintenance Applications
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Author : Nakamura Syouji
language : en
Publisher: #N/A
Release Date : 2017-06-07
Reliability Modeling With Computer And Maintenance Applications written by Nakamura Syouji and has been published by #N/A this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-06-07 with Technology & Engineering categories.
The development of Reliability and Maintenance theory and applications has become major concerns of engineers and managers engaged in order to design and product systems that are highly reliable. This book aims to cover the ongoing research topics in computer system, reliability analysis, reliability applications and maintenance policies, so as to provide awareness for those who engage systems design, being students, technicians, or research engineers, as a reference guidebook.
Random Graphs 83
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Author : A. Rucinski
language : en
Publisher: Elsevier
Release Date : 2011-10-10
Random Graphs 83 written by A. Rucinski and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-10-10 with Mathematics categories.
The range of random graph topics covered in this volume includes structure, colouring, algorithms, mappings, trees, network flows, and percolation. The papers also illustrate the application of probability methods to Ramsey's problems, the application of graph theory methods to probability, and relations between games on graphs and random graphs.
Systems Engineering
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Author : Mangey Ram
language : en
Publisher: CRC Press
Release Date : 2019-04-18
Systems Engineering written by Mangey Ram and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-04-18 with Science categories.
A substantial amount of research has been conducted on consecutive k-out-of-n and related reliability systems over the past four decades. These systems have been used to model various engineering systems such as the microwave stations of telecoms network, oil pipeline systems, and vacuum systems in an electron accelerator. As such, studies of reliability properties of consecutive k-out-of-n structures have attracted significant attention from both theoretical and practical approaches. In the modern era of technology, the redundancies are employed in the various industrial systems to prevent them from failure/sudden failure or to recover from failures. This book is meant to provide knowledge and help engineers and academicians in understanding reliability engineering by using k-out-of-n structures. The material is also targeted at postgraduate or senior undergraduate students pursuing reliability engineering.
From The Calculus To Set Theory 1630 1910
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Author : I. Grattan-Guinness
language : en
Publisher: Princeton University Press
Release Date : 2020-10-06
From The Calculus To Set Theory 1630 1910 written by I. Grattan-Guinness and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-10-06 with Mathematics categories.
From the Calculus to Set Theory traces the development of the calculus from the early seventeenth century through its expansion into mathematical analysis to the developments in set theory and the foundations of mathematics in the early twentieth century. It chronicles the work of mathematicians from Descartes and Newton to Russell and Hilbert and many, many others while emphasizing foundational questions and underlining the continuity of developments in higher mathematics. The other contributors to this volume are H. J. M. Bos, R. Bunn, J. W. Dauben, T. W. Hawkins, and K. Møller-Pedersen.
Combinatorial Mathematics And Applications
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Author :
language : en
Publisher:
Release Date : 1992
Combinatorial Mathematics And Applications written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Combinatorial analysis categories.