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On problems of multicomponent system maintenance modelling

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Abstract

We present an overview of some recent developments in the area of mathematical modeling of maintenance decisions for multi-unit systems. The emphasis is on three main groups of multicomponent maintenance optimization models: the block replacement models, group maintenance models, and opportunistic maintenance models. Moreover, an example of a two-unit system maintenance process is provided in order to compare various maintenance policies.

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References

  1. D. I. Cho, M. Parlar. A Survey of Maintenance Models for Multi-unit Systems. European Journal of Operational Research, vol. 51, no. 1, pp. 1–23, 1991.

    Article  Google Scholar 

  2. W. P. Pierskalla, J. A. Voelker. A Survey of Maintenance Models: The Control and Surveillance of Deteriorating Systems. Naval Research Logistics Quarterly, vol. 23, no. 3, pp. 353–388, 1976.

    Article  MATH  MathSciNet  Google Scholar 

  3. C. Valdez-Flores, R. M. Feldman. A Survey of Preventive Maintenance Models for Stochastically Deteriorating Single-unit Systems. Naval Research Logistics, vol. 36, no. 4, pp. 419–446, 1989.

    Article  MATH  MathSciNet  Google Scholar 

  4. H. Wang. A Survey of Maintenance Policies of Deteriorating Systems. European Journal of Operational Research, vol. 139, no. 3, pp. 469–489, 2002.

    Article  MATH  Google Scholar 

  5. L. C. Thomas. A Survey of Maintenance and Replacement Models for Maintainability and Reliability of Multi-item Systems. Reliability Engineering, vol. 16, no. 4, pp. 297–309, 1986.

    Article  Google Scholar 

  6. T. Nakagawa. A Summary of Discrete Replacement Policies. European Journal of Operational Research, vol. 17, no. 3, pp. 382–392, 1984.

    Article  MATH  MathSciNet  Google Scholar 

  7. R. P. Nicolai, R. Dekker. Optimal Maintenance of Multicomponent Systems: A Review, Economic Institute Report 2006–29, Erasmus University Rotterdam, Holand, 2006.

    Google Scholar 

  8. H. Pham, H. Wang. Imperfect Maintenance. European Journal of Operational Research, vol. 94, no. 3, pp. 425–438, 1996.

    MATH  Google Scholar 

  9. Y. S. Sherif. Reliability Analysis: Optimal Inspection & Maintenance Schedules of Failing Equipment. Microelectronics and Reliability, vol. 22, no. 1, pp. 59–115, 1982.

    Article  MathSciNet  Google Scholar 

  10. R. Dekker. Applications of Maintenance Optimization Models: A Review and Analysis. Reliability Engineering and System Safety, vol. 51, no. 3, pp. 229–240, 1996.

    Article  Google Scholar 

  11. R. P. Nicolai, R. Dekker. A Review of Multi-component Maintenance Models. In Proceedings of European Safety and Reliability Conference, pp. 289–296, 2007.

  12. P. A. Scarf. On the Application of Mathematical Models in Maintenance. European Journal of Operational Research, vol. 99, no. 3, pp. 493–506, 1997.

    Article  MATH  Google Scholar 

  13. T. Aven, R. Dekker. A Useful Framework for Optimal Replacement Models. Reliability Engineering and System Safety, vol. 58, no. 1, pp. 61–67, 1997.

    Article  Google Scholar 

  14. E. Frostig. Comparison of Maintenance Policies with Monotone Failure Rate Distributions. Applied Stochastic Models in Business and Industry, vol. 19, no. 1, pp. 51–65, 2003.

    Article  MATH  MathSciNet  Google Scholar 

  15. R. Dekker, I. F. K. Roelvink. Marginal Cost Criteria for Preventive Replacement of a Group of Components. European Journal of Operational Research, vol. 84, no. 2, pp. 467–480, 1995.

    Article  MATH  Google Scholar 

  16. W. W. Fisher. Markov Process Modelling of a Maintenance System with Spares, Repair, Cannibalization and Manpower Constraints. Mathematical Computer Modelling, vol. 13, no. 7, pp. 119–125, 1990.

    Article  MATH  Google Scholar 

  17. P. A. Scarf, M. Deara. Block Replacement Policies for a Two-component System with Failure Dependence. Naval Research Logistics, vol. 50, no. 1, pp. 70–87, 2003.

    Article  MATH  MathSciNet  Google Scholar 

  18. M. T. Lai, J. Yuan. Periodic Replacement Model for a Parallel System Subject to Independent and Common Cause Shock Failures. Reliability Engineering and System Safety, vol. 31, no. 3, pp. 355–367, 1991.

    Article  MATH  Google Scholar 

  19. J. A. C. Duarte, J. C. T. A. Craveiro, T. P. Trigo. Optimization of the Preventive Maintenance Plan of a Series Components System. International Journal of Pressure Vessels and Piping, vol. 83, no. 4, pp. 244–248, 2006.

    Article  Google Scholar 

  20. A. Grigoriev, J. van de Klundert, F. C. R. Spieksma. Modeling and Solving the Periodic Maintenance Problem. European Journal of Operational Research, vol. 172, no. 3, pp. 783–797, 2006.

    Article  MATH  MathSciNet  Google Scholar 

  21. R. I. Zequeira, C. Berenguer. Maintenance Cost Analysis of a Two-component Parallel System with Failure Interaction. In Proceedings of Annual Symposium on Reliability and Maintainability, IEEE Press, pp. 220–225, 2004.

  22. M. T. Lai, Y. C. Chen. Optimal Periodic Replacement Policy for a Two-unit System with Failure Rate Interaction. International Journal of Advanced Manufacturing Technology, vol. 29, no. 3, pp. 367–371, 2006.

    Article  MathSciNet  Google Scholar 

  23. A. Haurie, P. L’Ecuyer. A Stochastic Control Approach to Group Preventive Replacement in a Multicomponent System. IEEE Transactions on Automatic Control, vol. 27, no. 2, pp. 387–393, 1982.

    Article  MATH  Google Scholar 

  24. K. Yasui, T. Nakagawa, S. Osaki. A Summary of Optimum Replacement Policies for a Parallel Redundant System. Microelectronics and Reliability, vol. 28, no. 4, pp. 635–641, 1988.

    Article  Google Scholar 

  25. E. Popova, J. G. Wilson. Group Replacement Policies for Parallel Systems Whose Components have Phase Distributed Failure Times. Annals of Operations Research, vol. 91, pp. 163–189, 1999.

    Article  MATH  MathSciNet  Google Scholar 

  26. K. Sandve, T. Aven. Cost Optimal Replacement of Monotone, Repairable Systems. European Journal of Operational Research, vol. 116, no. 2, pp. 235–248, 1999.

    Article  MATH  Google Scholar 

  27. S. H. Sheu, J. P. Jhang. A Generalized Group Maintenance Policy. European Journal of Operational Research, vol. 96, no. 2, pp. 232–247, 1996.

    Article  Google Scholar 

  28. A. Chelbi, D. Ait-Kadi, H. Aloui. Availability Optimization for Multi-component Systems Subjected to Periodic Replacement. In Proceedings of European Safety and Reliability Conference, pp. 1109–1114, 2007.

  29. E. Popova. Basic Optimality Results for Bayesian Group Replacement Policies. Operations Research Letters, vol. 32, no. 3, pp. 283–287, 2004.

    Article  MATH  MathSciNet  Google Scholar 

  30. S. H. Sheu, R. H. Yeh, Y. B. Lin, M. G. Yuang. A Bayesian Approach to an Adaptive Preventive Maintenance Model. Reliability Engineering and System Safety, vol. 71, no. 1, pp. 33–44, 2001.

    Article  Google Scholar 

  31. Ü. Gürler, A. Kaya. A Maintenance Policy for a System with Multi-state Components: An Approximate Solution. Reliability Engineering and System Safety, vol. 76, no. 2, pp. 117–127, 2002.

    Article  Google Scholar 

  32. R. E. Wildeman, R. Dekker, A. C. J. M. Smit. A Dynamic Policy for Grouping Maintenance Activities. European Journal of Operational Research, vol. 99, no. 3, pp. 530–551, 1997.

    Article  MATH  Google Scholar 

  33. R. Radner, D. W. Jorgenson. Opportunistic Replacement of a Single Part in the Presence of Several Monitored Parts. Management Science, vol. 10, no. 1, pp. 70–84, 1963.

    Article  Google Scholar 

  34. F. A. van der Duyn Schouten, S. G. Vanneste. Analysis and Computation of (n,N)-strategies for Maintenance of a Two-component System. European Journal of Operational Research, vol. 48, no. 2, pp. 260–274, 1990.

    Article  MATH  Google Scholar 

  35. S. Epstein, Y. Wilamowsky. Opportunistic Replacement in a Deterministic Environment. Computers and Operational Research, vol. 12, no. 3, pp. 311–322, 1985.

    Article  MATH  Google Scholar 

  36. N. Fard, X. Zheng. An Approximate Method for Nonrepairable Systems Based on Opportunistic Replacement Policy. Reliability Engineering and System Safety, vol. 33, no. 2, pp. 277–288, 1991.

    Article  Google Scholar 

  37. X. Zheng, N. Fard. A Maintenance Policy for Repairable Systems Based on Opportunistic Failure-rate Tolerance. IEEE Transactions on Reliability, vol. 40, no. 2, pp. 237–244, 1991.

    Article  MATH  Google Scholar 

  38. J. P. Jhang, S. H. Sheu. Opportunity-based Age Replacement Policy with Minimal Repair. Reliability Engineering and System Safety, vol. 64, no. 3, pp. 339–344, 1999.

    Article  Google Scholar 

  39. H. Pham, H. Wang. Optimal (τ,T) Opportunistic Maintenance of a k-out-of-n: G System with Imperfect PM and Partial Failure. Naval Research Logistics, vol. 47, no. 3, pp. 223–239, 1999.

    Article  MathSciNet  Google Scholar 

  40. W. J. Hopp, Y. L. Kuo. Heuristics for Multicomponent Joint Replacement: Applications to Aircraft Engine Maintenance. Naval Research Logistics, vol. 45, no. 5, pp. 435–458, 1998.

    Article  MATH  Google Scholar 

  41. S. A. Haque, A. B. M. Z. Kabir, R. A. Sarker. Optimization Model for Opportunistic Replacement Policy Using Genetic Algorithm with Fuzzy Logic Controller. In Proceedings of the Congress on Evolutionary Computation, IEEE Press, vol. 4, pp. 2837–2843, 2003.

    Article  Google Scholar 

  42. U. K. Rakowsky. Modelling Reliability-adaptive Multisystem Operation. International Journal of Automation and Computing, vol. 3, no. 2, pp. 192–198, 2006.

    Article  Google Scholar 

  43. C. Dietl, U. K. Rakowsky. An Operating Strategy for High-availability Multi-station Transfer Lines. International Journal of Automation and Computing, vol. 3, no. 2, pp. 125–130, 2006.

    Article  Google Scholar 

  44. M. A. Brown, C. J. Hockley. Cost of Specifying Maintenance/Failure Free Operating Periods for Royal Air Force Aircraft. In Proceedings of Annual Reliability and Maintainability Symposium, IEEE Press, Philadelphia, PA, USA, pp. 425–432, 2001.

    Google Scholar 

  45. U. D. Kumar, J. Knezevic, J. Crocker. Maintenance Free Operating Period — An Alternative Measure to MTBF and Failure Rate for Specifying Reliability? Reliability Engineering and System Safety, vol. 64, no. 1, pp. 127–131, 1999.

    Article  Google Scholar 

  46. H. Wu, Y. Liu, Y. Ding, J. Liu. Methods to Reduce Direct Maintenance Costs for Commercial Aircraft. Aircraft Engineering and Aerospace Technology, vol. 76, no. 1, pp. 15–18, 2004.

    Article  Google Scholar 

  47. L. Warrington, J. A. Jones, N. Davis. Modelling of Maintenance, within Discrete Event Simulation. In Proceedings of Annual Reliability and Maintainability Symposium, IEEE Press, Seattle, WA, USA, pp. 260–265, 2002.

    Google Scholar 

  48. M. T. Todinov. Reliability and Risk Models. Setting Reliability Requirements, John Wiley & Sons Ltd., England, 2005.

    MATH  Google Scholar 

  49. M. T. Todinov. A New Reliability Measure Based on Specified Minimum Distances before the Locations of Random Variables in a Finite Interval. Reliability Engineering and System Safety, vol. 86, no. 1, pp. 95–103, 2004.

    Article  Google Scholar 

  50. M. T. Todinov. Minimum Failure-free Operating Intervals Associated with Random Failures of Non-repairable Components. Computers & Industrial Engineering, vol. 45, no. 3, pp. 475–491, 2003.

    Article  Google Scholar 

  51. J. Karpiński. A Multistate System under an Inspection and Repair Policy. IEEE Transactions of Reliability, vol. 35, no. 1, pp. 76–77, 1986.

    Article  MATH  Google Scholar 

  52. C. T. Lam, R. H. Yeh. Optimal Replacement Policies for Multi-state Deteriorating Systems, Technical Report No. 92-41, DEEPBLUE, 1993.

  53. C. M. Tan, N. Raghavan. A Framework to Practical Predictive Maintenance Modeling for Multi-state Systems. Reliability Engineering and System Safety, vol. 93, no. 8, pp. 1138–1150, 2008.

    Article  Google Scholar 

  54. C. Chen, M. Q. H. Meng, M. J. Zuo. Selective Maintenance Optimization for Multi-state Systems. In Proceedings of IEEE Canadian Conference on Electrical and Computer Engineering, IEEE Press, Canada, vol. 3, pp. 1477–1482, 1999.

    Google Scholar 

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Authors and Affiliations

  1. Department of Logistics and Transportation Systems, Wroclaw University of Technology, Wroclaw, Poland

    Tomasz Nowakowski & Sylwia Werbińka

Authors
  1. Tomasz Nowakowski
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  2. Sylwia Werbińka
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Correspondence to Sylwia Werbińka.

Additional information

Tomasz Nowakowski is a professor of Wroclaw University of Technology, Wroclaw, Poland. He is a head of Division of Logistics and Transportation Systems at Mechanical Engineering Faculty. He is also a president of Polish Logistic Association, member of teams of Polish Academy of Sciences, vice-president of Polish Maintenance Society. He is editor of Terotechnology section of quarterly Scientific Problems of Machines Operation and Maintenance.

His research interests include reliability, maintainability, safety of technical (generally transportation and logistic) systems, computer aided operation, knowledge based (expert) systems, uncertainty of operation, and maintenance data.

Sylwia Werbińka received her M. Sc. in mechanical engineering (specialty: logistics) from Wroclaw University of Technology, Poland in 2004. She is currently a Ph.D. candidate in Division of Logistics and Transportation Systems at Wroclaw University of Technology.

Her research interests include logistic support systems modelling, systems reliability, and maintenance processes designing.

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Nowakowski, T., Werbińka, S. On problems of multicomponent system maintenance modelling. Int. J. Autom. Comput. 6, 364–378 (2009). https://doi.org/10.1007/s11633-009-0364-4

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  • DOI: https://doi.org/10.1007/s11633-009-0364-4

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