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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5.3 Case Study 1: Combined Trigger Event

Figure 5.2 illustrates the DFT model of the memory subsystem for a computer system [17,28]. The memory subsystem has five memory units Mi (i = 1, 2, 3, 4, 5); they are accessible through two memory interface units (MIU1, MIU2). In other words, the memory units have FDEP on the MIUs (elementary trigger events). Particularly, as illustrated in the DFT, the following FDEP relationships exist in the system:

  • M1 and M2 are connected to the system bus via MIU1; M1 and M2 are functionally dependent on MIU1 (i.e. FDGMIU1 = {M1, M2}).
  • M3 is connected to both interfaces implying that M3 is accessible as long as one of the two interface units is functioning, or when both interface units malfunction M3 becomes inaccessible. M3 is functionally dependent on MIU1 ∩ MIU2, which is referred to as a combined trigger event (i.e. FDGMIU1MIU2 = {M3}).
  • M4 and M5 are connected to the system bus via MIU2; M4 and M5 are functionally dependent...