Book Image

Dynamic System Reliability

By : Liudong Xing, Gregory Levitin, Chaonan Wang
Book Image

Dynamic System Reliability

By: Liudong Xing, Gregory Levitin, Chaonan Wang

Overview of this book

This book focuses on hot issues of dynamic system reliability, systematically introducing the reliability modeling and analysis methods for systems with imperfect fault coverage, systems with function dependence, systems subject to deterministic or probabilistic common-cause failures, systems subject to deterministic or probabilistic competing failures, and dynamic standby sparing systems. It presents recent developments of such extensions involving reliability modeling theory, reliability evaluation methods, and features numerous case studies based on real-world examples. The presented dynamic reliability theory can enable a more accurate representation of actual complex system behavior, thus more effectively guiding the reliable design of real-world critical systems. The book begins by describing the evolution from the traditional static reliability theory to the dynamic system reliability theory and provides a detailed investigation of dynamic and dependent behaviors in subsequent chapters. Although written for those with a background in basic probability theory and stochastic processes, the book includes a chapter reviewing the fundamentals that readers need to know in order to understand the contents of other chapters that cover advanced topics in reliability theory and case studies.
Table of Contents (14 chapters)
Free Chapter
1 Introduction
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10.5 Event Transition Method

This section describes a recently emerged approach for evaluating performance and reliability characteristics of heterogeneous standby systems. The method is based on presenting the mission execution as a trajectory of parameters of random events in a state‐space. It can be applied to standby systems with heterogeneous structure, random replacement time, single and multiple mission phases, and different rules of standby‐operation mode transitions. The method allows building recursive numerical algorithms.

10.5.1 State‐Space Representation of System Behavior

The state‐space describing the mission behavior should be defined as a space of parameters that completely describe events that may happen during a mission as well as transitions among the events.

For example, for a cold standby system with random replacement time that has to operate for a certain time, the only parameter needed to define the state space is the operation time...