Abstract
In this paper, we propose a system of two dissimilar units: one unit prioritizes operation (priority unit), and the other unit is kept as a cold standby (ordinary unit). In this system, we assume that the failures, repairs, and preventive maintenance (PM) times follow arbitrary distributions for both units, except for the fact that the repair time of the ordinary unit follows an exponential distribution. The priority unit has normal, partial failure or total failure modes, while the ordinary unit has normal or total failure modes. The PM of the system can be started after time t when (i) the priority unit is in the normal or partial failure modes up to time t and (ii) the standby unit is available up to time t. PM can be achieved in two types: the costlier type with probability p and the cheaper type with probability (1−p). Under these assumptions, we investigate the reliability measures of the system using the regenerative point technique. Finally, we show a numerical example to illustrate the theoretical findings and show the effect of preventive maintenance in the reliability measures of the proposed system.
Highlights
If the priority unit is in normal mode until time t without total failures, it should go to the preventive maintenance (PM)
In order to demonstrate the usefulness of the proposed system, we investigate the effect of PM and the other parameters on the reliability measures through the following numerical illustrations below
The effect of preventive maintenance on reliability measures of the propped system consisting of one priority unit and one ordinary unit is investigated in terms of the mean time to first system failure, availability, and cost function
Summary
Publisher’s Note: MDPI stays neutral with regard to jurisdictional claims in published maps and institutional affiliations. Yann and Meng [5] considering a warm standby repairable system consisting of a two dissimilar units, where one unite takes priority in use if one repairman is available They assumed that the working and repairing times followed negative exponential distribution. Kumar et al [16] developed a reliability model for a non-identical cold standby system for the evaluation of system reliability, mean time to system failure, steady-state availability, the busy period of server, expected number of repairs, expected number of visits by the server, and the profit function of the system by considering all time-random variables to be Weibull distributed. Investigated the stochastic analysis of an identical two-unit standby system model with the concept of preventive maintenance of the operative unit after some significant time, which is considered to be a random variable with some probability distribution. In order to show the effect of PM and system parameters on the reliability measures of the proposed system, we provide some numerical illustrations and graphs
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