Comparative Analysis of Optimal Maintenance Policies Under General Repair With Underlying Weibull Distributions

Author

Yevkin, Olexandr ; Krivtsov, Vasiliy

Author_Institution

IHS, Toronto, ON, Canada

Volume

62

Issue

1

fYear

2013

fDate

Mar-13

Firstpage

82

Lastpage

91

Abstract

Various replacement policies under Kijima´s general repair model with the underlying Weibull distribution function are studied via two efficient methods. The first one is based on our previously derived approximate formula for the g-renewal function; the second is an improved Monte Carlo method. These methods enable an in-depth, comparative analysis of the maintenance polices in question. An efficient algorithm is suggested for finding optimal preventive replacement times. The influence of restoration factor, including the deviation from a minimal repair assumption, on the optimal solution is studied. A practical study illustration is provided.

Keywords

Monte Carlo methods; Weibull distribution; maintenance engineering; Monte Carlo method; Weibull distributions; approximate formula; comparative analysis; g-renewal function; general repair model; minimal repair assumption; optimal maintenance policies; optimal preventive replacement times; replacement policies; restoration factor; Analytical models; Equations; Maintenance engineering; Mathematical model; Monte Carlo methods; Numerical models; Weibull distribution; Monte Carlo method; Weibull distribution; g-renewal process; optimal maintenance;

fLanguage

English

Journal_Title

Reliability, IEEE Transactions on

Publisher

ieee

ISSN

0018-9529

Type

jour

DOI

10.1109/TR.2013.2241196

Filename

6425544