Abstract
In this paper, we study a degenerative reparable system with two types of failure states.Any system after repair can not be as good as new. A general monotone process model for adegenerative system under partial product process is used. We use a replacement policy N based on the failure number of the system and to determine an optimal replacement policy N*
 such that the average cost rate is minimized.
Highlights
In a maintenance degenerative reparable system assumes that a failed system after repair will be as good as new, this is the perfect repair model
Lam [1988] first introduced a geometric process repair model in which he studied two kind of replacement policy, one based on the working age T of the system and the other based on the number of failures N of the system
Definition 2.1 For a given two random variables X and Y, X is said to be stochastically larger than Y if P (X > α) ≥ P (Y > α) for all real α
Summary
In a maintenance degenerative reparable system assumes that a failed system after repair will be as good as new, this is the perfect repair model. Lam [1988] first introduced a geometric process repair model in which he studied two kind of replacement policy, one based on the working age T of the system and the other based on the number of failures N of the system. Cheng and Li (2014) first introduced a α-series process for an optimal replacement policy for a degenerative system with two types of failure states where as 1∗govindrajmaths69@gmail.com,2ashokbhuvana1999@gmail.com both operating times and repair times are assumed to follow partial product process in Babu, Govindaraju and Rizwan (2018) paper. We assume successive operating time and the consecutive repair time for a degenerative system with two types of failure states under a partial product process.
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