Hostname: page-component-76fb5796d-vvkck Total loading time: 0 Render date: 2024-04-26T16:52:01.815Z Has data issue: false hasContentIssue false
  • English
  • Français

Comparison of sequential and continuous inspection strategies for deteriorating systems

Part of: Special processes Operations research and management science

Published online by Cambridge University Press:  01 July 2016

C. Teresa Lam  and
R. H. Yeh
C. Teresa Lam*
Affiliation:
The University of Michigan
R. H. Yeh*
Affiliation:
The University of Michigan
*
* Postal address: Department of Industrial and Operations Engineering, The University of Michigan, Ann Arbor, MI 48109, USA.
** Present address: Department of Industrial Management, National Taiwan Institute of Technology, 43 Keelung Road Section 4, Taipai, Taiwan.
Get access Rights & Permissions [Opens in a new window]

Abstract

This paper investigates inspection strategies for a finite-state continuous-time Markovian deteriorating system. Two inspection strategies are considered: sequential inspection and continuous inspection. Unlike many previous efforts, the inspection times for the sequential inspection strategy are assumed to be non-negligible. The replacement times and costs for both strategies are non-negligible and state dependent. Our objective here is to minimize the expected long-run cost rate. Iterative algorithms are provided to derive the optimal policies for both strategies. The structures of these optimal policies and their corresponding optimal cost rates are discussed and compared.

Keywords

CONTINUOUS-TIME MARKOVIAN MODELEXPECTED LONG-RUN COST RATESEQUENTIAL INSPECTION STRATEGYPERIODIC INSPECTION STRATEGYCONTINUOUS INSPECTION STRATEGYCONTROL-LIMIT POLICIES

MSC classification

Primary: 90B25: Reliability, availability, maintenance, inspection
Secondary: 60K10: Applications (reliability, demand theory, etc.) 90C40: Markov and semi-Markov decision processes
Type
General Applied Probability
Information
Advances in Applied Probability , Volume 26 , Issue 2 , June 1994 , pp. 423 - 435
Copyright
Copyright © Applied Probability Trust 1994 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Footnotes

Research supported in part by a grant from the Research Partnership Program, Horace H. Rackham School of Graduate Studies, University of Michigan.

References

[1] Barlow, R. E. and Proschan, F. (1965) Mathematical Theory of Reliability. Wiley, New York.Google Scholar
[2] Luss, H. (1976) Maintenance policies when deterioration can be observed by inspections. Operat. Res. 24, 359–366.CrossRefGoogle Scholar
[3] Mccall, J. J. (1965) Maintenance policies for stochastically failing equipment: a survey. Management Sci. 11, 493–524.CrossRefGoogle Scholar
[4] Mine, H. and Kawai, H. (1975) An optimal inspection and replacement policy. IEEE Trans. Reliability 24, 305–309.CrossRefGoogle Scholar
[5] Ohnishi, M., Kawai, H. and Mine, H. (1986) An optimal inspection and replacement policy for a deteriorating system. J. Appl. Prob. 23, 973–988.CrossRefGoogle Scholar
[6] Osaki, S. and Nakagawa, T. (1976) Bibliography for reliability and availability of stochastic systems. IEEE Trans. Reliability 25, 284–287.Google Scholar
[7] Pierskalla, W. P. and Voelker, J. A. (1976) A survey of maintenance models: the control and surveillance of deteriorating systems. Naval Res. Logist. Quart. 23, 353–388.Google Scholar
[8] Rosenblatt, M. J. and Lee, H. L. (1986) A comparative study of continuous and periodic inspection policies in deteriorating production systems. IIE Trans. 18, 2–9.CrossRefGoogle Scholar
[9] Sengupta, B. (1980) Maintenance policies under imperfect information. Eur. J. Operat. Res. 5, 198–204.Google Scholar
[10] Sherif, Y. S. and Smith, M. L. (1981) Optimal maintenance models for systems subject to failure–a survey. Naval Res. Logist. Quart. 28, 47–74.CrossRefGoogle Scholar
[11] Valdez-Flores, C. and Feldman, R. M. (1989) A survey of preventive maintenance models for stochastically deteriorating single-unit systems. Naval Res. Logist. 36, 419–446.3.0.CO;2-5>CrossRefGoogle Scholar