Mathematical Models for Systems Reliability

Mathematical Models for Systems Reliability

Author: Benjamin Epstein

Publisher: CRC Press

Published: 2008-05-09

Total Pages: 270

ISBN-13: 1420080830

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Evolved from the lectures of a recognized pioneer in developing the theory of reliability, Mathematical Models for Systems Reliability provides a rigorous treatment of the required probability background for understanding reliability theory. This classroom-tested text begins by discussing the Poisson process and its associated probability


Using Some Mathematical Models in Reliability Systems

Using Some Mathematical Models in Reliability Systems

Author: Zahir Abdul Haddi Hassan

Publisher: LAP Lambert Academic Publishing

Published: 2012-03

Total Pages: 64

ISBN-13: 9783848432301

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In this study some mathematical models in reliability systems were investigated, such as series, parallel, series - parallel, parallel - series and complex systems by using some methods such as; path tracing method, reduction to series element method, minimal cut method, event space method, composite method and decomposition method . A comparison was done between those methods to get the best reliability. Reliability allocation had been studied .The aim of it is to establish a goal or objective for the reliability of each component. Two methods had been used to find the reliability allocation for series and complex systems. This study also discuss the reliability for non - maintenance depending on the application of Markov and non - Markov models.


The Handbook of Reliability, Maintenance, and System Safety through Mathematical Modeling

The Handbook of Reliability, Maintenance, and System Safety through Mathematical Modeling

Author: Amit Kumar

Publisher: Academic Press

Published: 2021-02-02

Total Pages: 520

ISBN-13: 0128195827

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The Handbook of Reliability, Maintenance, and System Safety through Mathematical Modeling discusses the many factors affect reliability and performance, including engineering design, materials, manufacturing, operations, maintenance, and many more. Reliability is one of the fundamental criteria in engineering systems design, with maintenance serving as a way to support reliability throughout a system's life. Addressing these issues requires information, modeling, analysis and testing. Different techniques are proposed and implemented to help readers analyze various behavior measures (in terms of the functioning and performance) of systems. Enables mathematicians to convert any process or system into a model that can be analyzed through a specific technique Examines reliability and mathematical modeling in a variety of disciplines, unlike competitors which typically examine only one Includes a table of contents with simple to complex examples, starting with basic models and then refining modeling approaches step-by-step


Assessing the Reliability of Complex Models

Assessing the Reliability of Complex Models

Author: National Research Council

Publisher: National Academies Press

Published: 2012-07-26

Total Pages: 144

ISBN-13: 0309256348

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Advances in computing hardware and algorithms have dramatically improved the ability to simulate complex processes computationally. Today's simulation capabilities offer the prospect of addressing questions that in the past could be addressed only by resource-intensive experimentation, if at all. Assessing the Reliability of Complex Models recognizes the ubiquity of uncertainty in computational estimates of reality and the necessity for its quantification. As computational science and engineering have matured, the process of quantifying or bounding uncertainties in a computational estimate of a physical quality of interest has evolved into a small set of interdependent tasks: verification, validation, and uncertainty of quantification (VVUQ). In recognition of the increasing importance of computational simulation and the increasing need to assess uncertainties in computational results, the National Research Council was asked to study the mathematical foundations of VVUQ and to recommend steps that will ultimately lead to improved processes. Assessing the Reliability of Complex Models discusses changes in education of professionals and dissemination of information that should enhance the ability of future VVUQ practitioners to improve and properly apply VVUQ methodologies to difficult problems, enhance the ability of VVUQ customers to understand VVUQ results and use them to make informed decisions, and enhance the ability of all VVUQ stakeholders to communicate with each other. This report is an essential resource for all decision and policy makers in the field, students, stakeholders, UQ experts, and VVUQ educators and practitioners.