Abstract

Ashish K. Barak Department of Mathematics Manipal University Jaipur, Jaipur-303007, India M.S. Barak Department of Mathematics, IGPGRC, Rewari, M.D. University, Rohtak-124001, India ABSTRACT The purpose of this paper is to develop and analyze a reliability model of a repairable system of single–unit considering two weather conditionsnormal and abnormal. In this model a unit may fail totally either directly from normal mode or via partial failure. There is a single server who visits the system immediately to do repair of the failed unit. The operation and repair of the unit are stopped in abnormal weather as a precautionary measure to avoid excessive damage to the system. Failure rates, repair rates and rate of change of weather conditions follow general distribution. By using semi-Markov process and regenerative point technique some reliability and economic measures of system effectiveness are obtained. The graphical of MTSF, availability and profit with respect to abnormal weather rate has also been shown for a particular case.

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