Browse > Article

A Condition Based Maintenance Model for Systems with Weibull Distributed Deterioration  

Kong, Myung Bock (Department of Industrial Engineering, University of Ulsan)
Park, Il Gwang (Department of Industrial Engineering, University of Ulsan)
Publication Information
Journal of Korean Institute of Industrial Engineers / v.33, no.1, 2007 , pp. 70-75 More about this Journal
Abstract
This paper discusses condition based preventive replacement for deteriorating systems. The system continuouslydeteriorates in time and fails at any deterioration level which is always monitored, It is replaced at failure or atsome deteriorated level preventively before failure. The deterioration process is represented by a Weibulldistribution with a time-linear scale parameter. The cost rate function is formed considering replacement costand opportunity loss cost and deterioration dependent failure distribution, If the system has an increasingdeterioration dependent failure rate, the optimal deterioration level for preventive replacement can be determinedfrom minimizing the cost rate. An illustrative example is given for a Weibull deterioration dependent failuredistribution.
Keywords
Deteriorating Systems; Weibull Distribution; Inverse Weibull Distribution; Deterioration Dependent Failure Rate;
Citations & Related Records
연도 인용수 순위
  • Reference
1 Kong, M. B. and Won, Y. C. (1996), Optimal Preventive Replacement under Periodic Inspections for an Item in Preparedness, Journal of the Korean Institute of Industrial Engineers, 22(4), 651-662
2 Kong, M. B. and Park, K. S. (1997), Optimal Replacement of an Item Subject to Cumulative Damage under Periodic Inspections, Microelectron. Reliab., 37(3), 467-472   DOI   ScienceOn
3 Murthy, D. N. P., Bulmer, M. and Eccleston, J. A. (2004), Weibull Model Selection for Reliability Modelling, Reliability Engineering & System Safety, 86, 257-267   DOI   ScienceOn
4 Grall, A., Dieulle, L., Berenguer, C. and Roussignol, M. (2002), Continuous-Time Predictive Scheduling for a Deteriorating System, IEEE Tran. on Rei., 51(2), 141-150   DOI   ScienceOn
5 Prabhu, N. U. (1980), Stochastic Storage Processes, Springer-Verlag, New York
6 Cho, D. J. and Parlar, M. (1991), A Survey of Maintenance Models for Multi-Unit Systems, European Journal of Operational Research, 51, 1-23   DOI   ScienceOn
7 Barlow, R. E. and Proschan, F. (1965), Mathematical Theory of Reliability, John Wiley and Sons, New York
8 Bogdanoff, J. L. and Kozin, F. (1985), Probabilistic Models of Cumulative Damage, John Wiley, New York
9 Kallen, M. J. and Noortwijk, J. M. (2005), Optimal Maintenance Decisions under Imperfect Inspection, Reliability Engineering and System Safety, 90,177-185   DOI   ScienceOn
10 Valdez, C. and Feldman, R. M. (1989), A Survey of Maintenance Models for a Stochastically Deteriorating Single-Unit Systems, Naval Research Logistics, 36, 419-446   DOI