Dynamics of an optimal maintenance policy for imperfect repair models

A preventive maintenance policy that considers information provided by observing the failure history of a repairable system is proposed. For a system that is to be operated for a long time, it is shown that the proposed policy will have a lower expected cost than a periodical one which does not take into account the failure history. Statistical inference using both maximum likelihood point estimates and bootstrap confidence intervals is discussed. The proposed policy is applied to a real situation involving maintenance of off-road engines owned by a Brazilian mining company. A simulation study compares the performance between the maintenance policy proposed and the periodical one.

[1]  Sarada Prasad Sarmah,et al.  Preventive replacement models: an overview and their application in process industries , 2010 .

[2]  G. J. Glasser.  The Age Replacement Problem , 1967 .

[3]  Enrico A. Colosimo,et al.  Nonparametric estimation and bootstrap confidence intervals for the optimal maintenance time of a repairable system , 2013, Comput. Stat. Data Anal..

[4]  Vasiliy Krivtsov,et al.  Comparative Analysis of Optimal Maintenance Policies Under General Repair With Underlying Weibull Distributions , 2013, IEEE Transactions on Reliability.

[5]  O. Aalen.  Nonparametric Inference for a Family of Counting Processes , 1978 .

[6]  R. Barlow,et al.  Optimum Preventive Maintenance Policies , 1960 .

[7]  William M. Bassin,et al.  A Bayesian Optimal Overhaul Interval Model for the Weibull Restoration Process Case , 1973 .

[8]  Khac Tuan Huynh,et al.  Modeling age-based maintenance strategies with minimal repairs for systems subject to competing failure modes due to degradation and shocks , 2012, Eur. J. Oper. Res..

[9]  Bo Henry Lindqvist.  Statistical Modeling and Analysis of Repairable Systems , 1999 .

[10]  Shey-Huei Sheu,et al.  Extended optimal age-replacement policy with minimal repair of a system subject to shocks , 2006, Eur. J. Oper. Res..

[11]  Steven E. Rigdon,et al.  Bayes Inference for General Repairable Systems , 2009 .

[12]  Masaaki Kijima,et al.  Periodical replacement problem without assuming minimal repair , 1988 .

[13]  B. D. Sivazlian,et al.  Hysteresis Repair in Discounted Replacement Problems , 1983 .

[14]  Enrico A. Colosimo,et al.  Optimal Maintenance Time for Repairable Systems , 2007 .

[15]  Gustavo L. Gilardoni,et al.  Optimal Maintenance Time for Repairable Systems Under Two Types of Failures , 2010 .

[16]  M. T. Boswell.  Estimating and Testing Trend in a Stochastic Process of Poisson Type , 1966 .

[17]  Gustavo L. Gilardoni,et al.  On the superposition of overlapping Poisson processes and nonparametric estimation of their intensit , 2011 .

[18]  Laurent Doyen,et al.  Classes of imperfect repair models based on reduction of failure intensity or virtual age , 2004, Reliab. Eng. Syst. Saf..

[19]  Gustavo L. Gilardoni,et al.  Bayesian inference for power law processes with applications in repairable systems , 2012 .

[20]  Hongzhou Wang,et al.  A survey of maintenance policies of deteriorating systems , 2002, Eur. J. Oper. Res..