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It also introduces a new concept of the Gini-type index. Igor B. M ethods of analysis. Editor: Patrikeeva Evgenia. Make-up: Kurtish Boris S. Proofreading: Komarova Catherine E. For the first time, this book presents the theory of functional dependability of information systems as a component of the general dependability theory. The book comprises basic concepts and definitions, major threats for the functional dependability of information systems, system parameters, methods for estimating the functional dependability of digital devices, and methods and models of estimating software functional dependability.

A separated chapter considers the functional reliability of critical information systems, including the concept of a critical system, features of faults, estimation of functional reliability of operators, estimation of hazardous failures and risks, the requirements of functional dependability and the software architecture of critical information systems.

A checklist of the most complex and significant subjects is provided at the end of each chapter. The book is primarily intended for experts who are engaged in practical development, manufacture, operation and updating of information technologies and information systems.

It is intended for researchers in the field of software-hardware of information systems, academic staff, post-graduate students and students specializing in the field of information technologies as well as those working in the field of automated control systems. Publication can be purchased through the editorial board of Journal Dependability Ltd.

Patrikeeva gismps.

Methods of analysis. The book presents the basic concepts and parameters of the structural dependability of information systems.


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It discusses general and specific differences in dependability indices used in domestic and international standards, along with recent developments in approaches to dependability modeling. Markov reliability models together with graph semi-Markov methods for calculating reliability are described in detail and illustrated by numerous examples.

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Considerable attention is paid to the engineering methods of calculation and the approximate prediction of structural dependability and error estimation of information systems as well as to the statistical assessment of dependability parameters. At the end of each chapter there are checklists of the most complex and significant subjects of the chapter. The book is intended primarily for professionals involved in practical work on the development, production, operation and modification of information systems.

It is designed for scientists in the field of structural dependability of various discrete systems, academic staff and graduates students specializing in information systems as well as in the field of automated control systems. Gnedenko Boris Vladimirovich. Gnedenko - is an outstanding mathematician, who contributed greatly to the development of the field of theory of probability and its applications. The memoires introduce a reader to the details of the environment of B. In Memoirs, B.

Memoirs is an interesting and useful book to those fond of Russian history and especially to those interested in the history of science and education. Vladimir I. Discusses important stochastic modeling topics that are not usually addressed in introductory probability texts, including Markov chains, birth-death processes, and reliability models. Allows instructors to easily construct various courses at different levels of difficulty and with different goals.

Examines modern tendencies in probability theory, including martingales, risk evaluation, and dependency structures. Describes numerous concrete models, such as a financial market model and the principal components scheme, helping students better understand general concepts and theoretical results. Includes examples and exercises on numerical calculations using Excel. Solutions manual and figure slides available with qualifying course adoption. Unlike most undergraduate-level probability texts, the book also focuses on increasingly important areas, such as martingales, classification of dependency structures, and risk evaluation.

Numerous examples, exercises, and models using real-world data demonstrate the practical possibilities and restrictions of different approaches and help students grasp general concepts and theoretical results.


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The text is suitable for majors in mathematics and statistics as well as majors in computer science, economics, finance, and physics. The author offers two explicit options to teaching the material, which is reflected in "routes" designated by special "roadside" markers. The first route contains basic, self-contained material for a one-semester course.

The second provides a more complete exposition for a two-semester course or self-study. The theory of reliability deals with all aspects of this process of failure, trying to construct formal or mathematical models for this random phenomenon. In a synthetic form the book has 60 pages this book discusses some important aspects regarding reliability. Reliability and Maintenance: Networks and Systems. Discusses reliability-theoretic importance measures for system components, algorithms for disjoint sum representations of structure functions, stochastic and deterministic reliability measures of networks, and complexity of network reliability problems.

Covers inequalities and reliability bounds, reliability analysis by network splitting via separating vertex sets, decomposition-reduction algorithms, repair cost limit replacement policies, and general repair models. Illustrates the interdependence among network reliability analysis, chromatics graph theory, combinatorial enumeration, and lattice theory.

Shows how to use advanced mathematical methods for solving important problems in reliability and safety analysis. Contains many worked examples, algorithms, and simulation techniques. Balancing theory and practice, it presents state-of-the-art research in key areas of reliability and maintenance theory and includes numerous examples and exercises. Every chapter starts with theoretical foundations and basic models and leads to more sophisticated models and ongoing research.

The first part of the book introduces structural reliability theory for binary coherent systems. Within the framework of these systems, the second part covers network reliability analysis. The third part presents simply structured maintenance policies that may help with the cost-optimal scheduling of preventive maintenance.

Each part can be read independently of one another. Suitable for researchers, practitioners, and graduate students in engineering, operations research, computer science, and applied mathematics, this book offers a thorough guide to the mathematical modeling of reliability and maintenance. It supplies the necessary theoretical and practical details for readers to perform reliability analyses and apply maintenance policies in their organizations. This unique treatment systematically interprets a spectrum of importance measures to provide a comprehensive overview of their applications in the areas of reliability, network, risk, mathematical programming, and optimization.

Investigating the precise relationships among various importance measures, it describes how they are modelled and combined with other design tools to allow users to solve readily many real-world, large-scale decision-making problems. Presenting the state-of-the-art in network analysis, multistate systems, and application in modern systems, this book offers a clear and complete introduction to the topic.

Through describing the reliability importance and the fundamentals, it covers advanced topics such as signature of coherent systems, multi-linear functions, and new interpretation of the mathematical programming problems. Key highlights:. Generalizes the concepts behind importance measures such as sensitivity and perturbation analysis, uncertainty analysis, mathematical programming, network designs , enabling readers to address large-scale problems within various fields effectively Covers a large range of importance measures, including those in binary coherent systems, binary monotone systems, multistate systems, continuum systems, repairable systems, as well as importance measures of pairs and groups of components Demonstrates numerical and practical applications of importance measures and the related methodologies, including risk analysis in nuclear power plants, cloud computing, software reliability and more Provides thorough comparisons, examples and case studies on relations of different importance measures, with conclusive results based on the authors' own research Describes reliability design such as redundancy allocation, system upgrading and component assignment.

e-book Applied Nonparametric Statistics in Reliability (Springer Series in Reliability Engineering)

This book will benefit researchers and practitioners interested in systems design, reliability, risk and optimization, statistics, maintenance, prognostics and operations. Readers can develop feasible approaches to solving various open-ended problems in their research and practical work. Software developers, IT analysts and reliability and safety engineers in nuclear, telecommunications, offshore and civil industries will also find the book useful.

Segal, Bordeaux-2, Institute of Applied Mathematics, France The book presents the modern dynamic models and methods of statistical analysis of the reliability of complex technical systems.

About this book

The methods of calculating the reliability of components and systems taking into account their age, presents problems of calculating the characteristics of structurally complex systems, models of reliability analysis to restore equipment. For students enrolled in "Computer Science" and the educational program specialty , implemented in the areas of training graduates' Automated Information Processing and Management, "as well as for graduate students and engineers.

Table of Contents. Practical Reliability Engineering. Patrick P. This fifth edition retains the unique balanced mixture of reliability theory and applications, thoroughly updated with the latest industry best practices. Each chapter is supported by practice questions, and a solutions manual is available to course tutors via the companion website. Enhanced coverage of mathematics of reliability, physics of failure, graphical and software methods of failure data analysis, reliability prediction and modelling, design for reliability and safety as well as management and economics of reliability programmes ensures continued relevance to all quality assurance and reliability courses.

Notable additions include:.