A monotone process maintenance model for a multistate system

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A monotone process maintenance model for a multistate system

Lam Yeh

Source: J. Appl. Probab. Volume 42, Number 1 (2005), 1-14.

Abstract

In this paper, we study a monotone process maintenance model for a multistate system with k working states and l failure states. By making different assumptions, we can apply the model to a multistate deteriorating system as well as to a multistate improving system. We show that the monotone process model for a multistate system is equivalent to a geometric process model for a two-state system. Then, for both the deteriorating and the improving system, we analytically determine an optimal replacement policy for minimizing the long-run average cost per unit time.

First Page: Show

Primary Subjects: 90B25

Secondary Subjects: 60K10

Keywords: Geometric process; replacement policy N; harmonic mean; renewal reward process

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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.jap/1110381366
Digital Object Identifier: doi:10.1239/jap/1110381366
Mathematical Reviews number (MathSciNet): MR2144088
Zentralblatt MATH identifier: 1077.90019

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