A monotone process repair model for a repairable cold standby system with priority in use and repair

Publication Date : 16/04/2016


Author(s) :

Dr.B.R.NarayaMurthy , Dr.A.Janaki Ram , Dr.B.Venkata Ramudu.

Volume/Issue :
Volume 2
,
Issue 4
(04 - 2016)

Abstract :

The purpose of this paper is to apply the two monotone process repair model to a two-dissimilar – component cold standby repairable system with one repairman and priority in use and repair. Assume that either component after repair is not “as good as new” and follows a monotone process repair, and component 1 has priority in use and repair under these assumptions, we consider a replacement policy N based on the number of repairs of component 1 under which the system is replaced when the repair number of component 1 reaches N. The problem is to determine an optimal replacement policy N* such that the average cost rate of the system is minimized. The explicit equation of the average cost rate of the system is derived and the corresponding optimal replacement policy N* can be determined analytically or numerically. Key words: Renewal reward theorem, Average long run cost rate, Replacement policy, Geometric process, Alpha series process.

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