A repairable system of two non-identical units -one is an original (called main unit) and other is a substandard (called duplicate unit) is investigated stochastically under different weather conditions -normal and abnormal. The system starts its operation with original unit keeping duplicate unit in cold standby. There is a direct failure of each unit from normal mode. Both units are capable in performing the system functions well. A single server is called immediately to do repair of the unit whenever needed. The operation and repair of the units are stopped in abnormal weather. And, in normal weather, priority is given for operation and repair to the original unit over duplicate unit. After repair unit works as new. All random variables are statistically independent and uncorrelated. The failure time of the units and time to change of weather conditions follow negative exponential distributions while repair times of the units are arbitrarily distributed. Various reliability and performance measures are obtained in steady state using semi-Markov process and regenerative point technique. The graphical behavior of MTSF, availability and profit function with respect to normal weather rate has also been observed for a particular case.
In this paper, a reliability model of a system of two nonidentical units in which one main unit (called original) is initially operative and other is a substandard unit which is kept as spare in cold standby is examined probabilistically in detail under two weather conditionsnormal and abnormal. Each unit has direct complete failure from normal mode. There is a single server who visits the system immediately whenever needed. The operation and repair of the units are not allowed in abnormal weather. However, operation and repair of the units are as usual in normal weather subject to the condition that duplicate unit will not work if main unit is available for working in the system. The distributions of failure time of the units and change of weather conditions follow negative exponential while that of repair time of the units are assumed as arbitrary with different probability density functions. All the random variables are mutually independent and uncorrelated. The expressions for some important measures of system effectiveness are derived in steady state using semi-Markov process and regenerative point technique. The graphical study of MTSF, availability and profit has also been made on the basis of numerical results obtained for a particular case. The results of the present paper has also been compared with the model proposed by Malik and Deswal [6].
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.
hi@scite.ai
10624 S. Eastern Ave., Ste. A-614
Henderson, NV 89052, USA
Copyright © 2024 scite LLC. All rights reserved.
Made with 💙 for researchers
Part of the Research Solutions Family.