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System Reliability of a Machine Repair System With a Multiple-Vacation and Unreliable Server

出版	ASTM International, 2015
URL	http://books.google.com.hk/books?id=6MZ1zgEACAAJ&hl=&source=gbs_api

註釋This study deals with reliability and sensitivity analysis of a machine repair system with warm standbys and an unreliable server having multiple-vacation. Failure times of operating and warm standby machines are assumed to be exponentially distributed with parameters ? and ?, respectively. Vacation times of the server are also assumed to be exponentially distributed. A practical example of the model under consideration in this study is provided. The Laplace transform technique was used to derive the reliability function RY(t) and the mean time to system failure MTTF. We performed a parametric investigation that provided numerical results to show how various system parameters affect RY(t) and MTTF. Sensitivity analyses of RY(t) and MTTF, along with changes in specific values of the system parameters, were investigated. Relative sensitivity analyses of RY(t) and MTTF with various parameters were also studied.