Abstract
In this paper, we discussed the reliability of an N-unit series repairable system with the repairman doing other work and priority in repair. In this system, it is assumed that the working time distributions of the n components and the arrival interval time distributions of the customers which are out of the system are both exponential and the components in system is given priority in repair. It is also assumed that the repair time distributions of the n components and the service time distributions of the customers are both general continuous distributions. After repair, components are “as good as new”. Under these assumptions, using a supplementary variable technique and Laplace transform technique, some important reliability indices such as the system availability, the idle probability of the repairman and the rate of service for customers are derived. Our problem is to determine whether or not given the priority to components in repairing such that the benefit of the system is maximized.
Highlights
In order to improve the interest of the system, the supervisor always arranges the repairman service for the customers out of system
While it isn’t always maximizing the interest of system that repairman is servicing for customers out of system, the repair work of the components maybe delayed for the repairman doing other work
We study an n-component series repairable system with repairman doing other work and priority in repair by making the following assumptions: Assumption 1
Summary
In order to improve the interest of the system, the supervisor always arranges the repairman service for the customers out of system Under this condition and assumptions that the working time distributions are exponential and the repair time distributions and the time distribution of the repairman doing other work are both general continuous distributions, by using supplementary technique and vector Markov process, the reliability indices have been obtained and the benefits of the model discussed (Su, B.H., 1994, pp.). J.(2006,pp.278̢295) introduced the priority in use in a deteriorating cold standby repairable system While it isn’t always maximizing the interest of system that repairman is servicing for customers out of system, the repair work of the components maybe delayed for the repairman doing other work. We assume that the working time of the components and the arrival interval time customers are both exponentially distributed and others generally distributed.
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