Some characteristics of a man-machine system operating subject to different weather conditions
Ain Shams University, Department of Mathematics, Faculty of Science, Cairo, EgyptMicroelectronics Reliability (Impact Factor: 1.43). 03/1997; 37(3):493-496. DOI: 10.1016/0026-2714(95)00202-2
This paper deals with some characteristics of a single unit of a man-machine system operating under different weather conditions. It is assumed that the failure, repair and change of weather conditions (normal-stormy) are stochastically independent random variables, each having an arbitrary distribution. The system is analysed by the semi-Markov process technique. Some reliability measures of interest to system designers as well as operations managers have been obtained. Explicit expressions for the Laplace-Stieltjes transforms of the distribution function of the first passage time, mean time to system failure, pointwise availability and steady-state availability of the system are obtained. Several important results have been derived as particular cases.
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ABSTRACT: This study deals with some characteristics of a single-unit of a man-machine system operating under different physical conditions. The failure, repair and change of physical conditions (good-poor) are stochastically independent random variables each having an arbitrary distribution. The system analysed by some Markov process technique. The busy period, expected number of visits by the repairman and the cost per unit time in a steady state of the system are obtained. Several important results have been derived as particular cases.Journal of Mathematics and Statistics 02/2005; 1(2). DOI:10.3844/jmssp.2005.160.164
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