Some characteristics of a man-machine system operating subject to different weather conditions

Ain Shams University, Department of Mathematics, Faculty of Science, Cairo, Egypt
Microelectronics 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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