A MAINTENANCE MODEL FOR A DETERIORATING SYSTEM UNDER RANDOM ENVIRONMENT USING PARTIAL PRODUCT PROCESS

A MAINTENANCE MODEL FOR A DETERIORATING SYSTEM UNDER RANDOM ENVIRONMENT USING PARTIAL PRODUCT PROCESS

D. Babu

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Abstract

In this paper, deteriorating system maintenance model under random envi- ronment using partial product process is studied. Up to time t, assume that the number of random shocks generated by the random environment is a counting process. Whenever a random shock occurs, the operating time of the system is reduced. The successive re- ductions in the operating time of the system are statistically independent and identically distributed random variables. Assume that the system's successive operating times after repairs form a decreasing partial product process. Assume that the system's consecutive repair times after failures constitute an increasing partial product process provided that the system su ers no random shock. A replacement policy N is applied. Afterwards, for minimizing the mean cost per unit time in long-run, an optimal policy N  is determined analytically. A numerical illustration is provided to strengthen the theoretical results.

Keywords

Geometric Process, Partial Product Process, Replacement Policy, Renewal Process.