An Extended Extreme Shock Maintenance Model for a Deteriorating System Under Monotone Process.

EasyChair Preprint 9359

Abstract

We investigate a failing system that experiences unpredictably harsh shocks from its surroundings. Assume that while the system is working, every shock will cause some damage to it; however, shocks that cause only minor damage are innocuous for the system, whereas shocks that cause significant damage may cause the system to fail. The system’s disintegration is brought about by both the outside shocks and the interior load. An extended extreme shock (EES), the maintenance model for systems disintegrating under monotone processes by using increasing Alpha series processes (ASP), is studied. Perceptionally an exact expression for the long -run mean cost for each unit time under N strategy is derived and an optimal strategy N^* for reducing long -run mean cost for each unit time is determined. A numerical illustration is also given.

Keyphrases: Alpha Series Process, Geometric Process, Shock model, Substitution Strategy, exponential distribution, geometric distribution, renewal process

@booklet{EasyChair:9359,
  author    = {M Sutha and A Sridhar},
  title     = {An Extended Extreme Shock Maintenance Model for a Deteriorating System Under Monotone Process.},
  howpublished = {EasyChair Preprint 9359},
  year      = {EasyChair, 2022}}