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)
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1 Introduction
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6.3 Decision Diagram–Based Aggregation Method

The EDA approach discussed in Section 6.2 involves generating and solving a number of reduced reliability problems separately (and possibly in parallel if adequate computing resources are available). Very often, reliability models of the reduced problems can share common submodels, which are stored and evaluated multiple times. To improve computational efficiency and reduce storage requirements, an enhanced decision diagram (DD)‐based analysis method is discussed in this section, where a single compact system DD is generated to model all the reduced problems sharing their isomorphic sub‐DDs, implementing an automatic aggregation process of the original EDA approach [18].

6.3.1 Three‐Step Method

The DD‐based aggregation approach can be conducted in the following three steps:

  • Step 1: Conduct CCF modeling. Given that m elementary causes CCi exist in the system, a CCE space is first built based on the statistical...