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In the area of system reliability analysis, dynamic and dependent behaviors such as multi-state, multi-phase, functional dependence, common cause failures, competing failures, standby sparing, and sequence dependence have been recognized as a significant contribution to problems in overall system reliability. However, with the incorporation of those behaviors, resulting dynamic system reliability models cannot be efficiently and accurately solved by existing state space based models such as Markov methods. In this presentation, an overview on various dynamic and dependent behaviors will be presented first. Efficient combinatorial approaches, in particular, decision diagrams will then be discussed for the reliability analysis of multi-state systems with illustration of examples from areas of computer systems, capacitated transmission networks, and MCNC benchmark circuits.
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