Coherent Systems With Multi State Components
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Coherent Systems With Multi State Components
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Author : Richard E. Barlow
language : en
Publisher:
Release Date : 1977
Coherent Systems With Multi State Components 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 1977 with categories.
The theory of binary coherent systems is generalized for multi-state components. The system state is defined to be the state of the worst component in the best min path, or equivalently, the state of the best component in the worst min cut. All of the results for the binary case can be computed for multi-state systems using the binary structure and reliability function concepts. Monotonicity results are now valid with respect to stochastic ordering of component probability vectors. (Author).
Multistate Coherent Systems
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Author : E. El-Neweihi
language : en
Publisher:
Release Date : 1977
Multistate Coherent Systems written by E. El-Neweihi and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977 with categories.
The vast majority of reliability analyses assume that components and system are in either of two states: functioning or failed. The present paper develops basic theory for the study of systems of components in which any of a finite number of states may occur, representing at one extreme perfect functioning and at the other extreme complete failure. Axioms are laid down extending the standard notion of a coherent system to the new notion of a multistate coherent system. For such systems deterministic and probabilistic properties are obtained for system performance which are analogous to well-known results for coherent system reliability.
A Complete Importance Ranking For Components Of Binary Coherent Systems With Extensions To Multi State Systems
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Author : Stanford University. Applied Mathematics and Statistics Laboratory
language : en
Publisher:
Release Date : 1977
A Complete Importance Ranking For Components Of Binary Coherent Systems With Extensions To Multi State Systems written by Stanford University. Applied Mathematics and Statistics Laboratory and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977 with categories.
Given a system composed of many components, a question of considerable interest is which components are most relevant or crucial to the proper functioning of the system. In response to this question, a number of importance measures and rankings have been proposed. This paper investigates a new ranking and compares it to existing rankings, principally the ranking induced by the Birnbaum reliability importance measure. The new ranking is based upon minimal cuts and provides a complete ordering of all the system's components relative to their importance to the system reliability. This ranking has three main points in its favor: (i) the calculations involved require only readily obtainable information; (ii) the calculations are usually quite simple; and (iii) the ranking is designed for use with systems consisting of highly reliable components, the most common case. The final section of the paper deals with extensions of importance measures and rankings to systems in which both the system and its components may be in any of a finite number of states. Many of the results about importance measures and rankings for binary systems established in preceding sections are shown to extend to the more sophisticated multi-state systems. Also, the multi-state importance measures and rankings are shown to be decomposable into a number of sub-importance measures and rankings. (Author).
Recent Advances In System Reliability
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Author : Anatoly Lisnianski
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-10-01
Recent Advances In System Reliability written by Anatoly Lisnianski 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 2011-10-01 with Technology & Engineering categories.
Recent Advances in System Reliability discusses developments in modern reliability theory such as signatures, multi-state systems and statistical inference. It describes the latest achievements in these fields, and covers the application of these achievements to reliability engineering practice. The chapters cover a wide range of new theoretical subjects and have been written by leading experts in reliability theory and its applications. The topics include: concepts and different definitions of signatures (D-spectra), their properties and applications to reliability of coherent systems and network-type structures; Lz-transform of Markov stochastic process and its application to multi-state system reliability analysis; methods for cost-reliability and cost-availability analysis of multi-state systems; optimal replacement and protection strategy; and statistical inference. Recent Advances in System Reliability presents many examples to illustrate the theoretical results. Real world multi-state systems, such as power generation and transmission, refrigeration, and production systems, are considered in the form of case studies, making the book a useful resource for researchers and postgraduate students.
Multistate Systems Reliability Theory With Applications
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Author : Bent Natvig
language : en
Publisher: John Wiley & Sons
Release Date : 2010-12-07
Multistate Systems Reliability Theory With Applications written by Bent Natvig and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-12-07 with Mathematics categories.
Most books in reliability theory are dealing with a description of component and system states as binary: functioning or failed. However, many systems are composed of multi-state components with different performance levels and several failure modes. There is a great need in a series of applications to have a more refined description of these states, for instance, the amount of power generated by an electrical power generation system or the amount of gas that can be delivered through an offshore gas pipeline network. This book provides a descriptive account of various types of multistate system, bound-for multistate systems, probabilistic modeling of monitoring and maintenance of multistate systems with components along with examples of applications. Key Features: Looks at modern multistate reliability theory with applications covering a refined description of components and system states. Presents new research, such as Bayesian assessment of system availabilities and measures of component importance. Complements the methodological description with two substantial case studies. Reliability engineers and students involved in the field of reliability, applied mathematics and probability theory will benefit from this book.
Multistate System Reliability With Dependencies
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Author : Agnieszka Blokus
language : en
Publisher: Academic Press
Release Date : 2020-04-13
Multistate System Reliability With Dependencies written by Agnieszka Blokus and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-04-13 with Business & Economics categories.
Multistate System Reliability with Dependencies explains how to select a model of load sharing that best describes the impact of changes in reliability states of components. This is mainly achieved via a generalization of two-state system reliability analysis, where equal load sharing and local load sharing rules are commonly used. The material covers basic concepts of traditional reliability theory, including the concept of probability, failures, series and parallel systems, k-out-of-n systems, and more. It features cutting-edge theorems on the reliability analysis of multistate systems that take into account component degradation and dependencies between subsystems and components in subsystems. Other themes addressed include renewable systems and the availability analysis of multistate systems. Combining results of the reliability analysis of multistate systems with dependent components and the results of the classical renewal theory, the availability analysis of multistate systems under the assumption of imperfect renovation is also provided. Provides a thorough introduction to, and review of, recent research developments across multistate systems and systems with component dependencies Comprehensively addresses various manifestations of the load sharing system at component and system level, including models to describe them Explains how to evaluate the reliability and risk of systems with load-sharing effects
Recent Advances In Multi State Systems Reliability
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Author : Anatoly Lisnianski
language : en
Publisher: Springer
Release Date : 2017-08-12
Recent Advances In Multi State Systems Reliability written by Anatoly Lisnianski and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-08-12 with Technology & Engineering categories.
This book addresses a modern topic in reliability: multi-state and continuous-state system reliability, which has been intensively developed in recent years. It offers an up-to-date overview of the latest developments in reliability theory for multi-state systems, engineering applications to a variety of technical problems, and case studies that will be of interest to reliability engineers and industrial managers. It also covers corresponding theoretical issues, as well as case studies illustrating the applications of the corresponding theoretical advances. The book is divided into two parts: Modern Mathematical Methods for Multi-state System Reliability Analysis (Part 1), and Applications and Case Studies (Part 2), which examines real-world multi-state systems. It will greatly benefit scientists and researchers working in reliability, as well as practitioners and managers with an interest in reliability and performability analysis. It can also be used as a textbook or as a supporting text for postgraduate courses in Industrial Engineering, Electrical Engineering, Mechanical Engineering, Applied Mathematics, and Operations Research.
Multi State System Reliability Analysis And Optimization For Engineers And Industrial Managers
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Author : Anatoly Lisnianski
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-08-02
Multi State System Reliability Analysis And Optimization For Engineers And Industrial Managers written by Anatoly Lisnianski 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 2010-08-02 with Technology & Engineering categories.
Multi-state System Reliability Analysis and Optimization for Engineers and Industrial Managers presents a comprehensive, up-to-date description of multi-state system (MSS) reliability as a natural extension of classical binary-state reliability. It presents all essential theoretical achievements in the field, but is also practically oriented. New theoretical issues are described, including: • combined Markov and semi-Markov processes methods, and universal generating function techniques; • statistical data processing for MSSs; • reliability analysis of aging MSSs; • methods for cost-reliability and cost-availability analysis of MSSs; and • main definitions and concepts of fuzzy MSS. Multi-state System Reliability Analysis and Optimization for Engineers and Industrial Managers also discusses life cycle cost analysis and practical optimal decision making for real world MSSs. Numerous examples are included in each section in order to illustrate mathematical tools. Besides these examples, real world MSSs (such as power generating and transmission systems, air-conditioning systems, production systems, etc.) are considered as case studies. Multi-state System Reliability Analysis and Optimization for Engineers and Industrial Managers also describes basic concepts of MSS, MSS reliability measures and tools for MSS reliability assessment and optimization. It is a self-contained study resource and does not require prior knowledge from its readers, making the book attractive for researchers as well as for practical engineers and industrial managers.
Multi State System Reliability
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Author : Anatoly Lisnianski
language : en
Publisher: World Scientific Publishing Company
Release Date : 2003-03-12
Multi State System Reliability written by Anatoly Lisnianski and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-03-12 with Mathematics categories.
Most books on reliability theory are devoted to traditional binary reliability models allowing for only two possible states for a system and its components: perfect functionality and complete failure. However, many real-world systems are composed of multi-state components, which have different performance levels and several failure modes with various effects on the entire system performance (degradation). Such systems are called Multi-State Systems (MSS). The examples of MSS are power systems where the component performance is characterized by the generating capacity, computer systems where the component performance is characterized by the data processing speed, communication systems, etc. This book is the first to be devoted to Multi-State System (MSS) reliability analysis and optimization. It provides a historical overview of the field, presents basic concepts of MSS, defines MSS reliability measures, and systematically describes the tools for MSS reliability assessment and optimization. Basic methods for MSS reliability assessment, such as a Boolean methods extension, basic random process methods (both Markov and semi-Markov) and universal generating function models, are systematically studied. A universal genetic algorithm optimization technique and all details of its application are described. All the methods are illustrated by numerical examples. The book also contains many examples of application of reliability assessment and optimization methods to real engineering problems. The aim of this book is to give a comprehensive, up-to-date presentation of MSS reliability theory based on modern advances in this field and provide a theoretical summary and examples of engineering applications to a variety of technical problems. From this point of view the book bridges the gap between theoretical advances and practical reliability engineering.
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.