Abstract
Over the last few decades the maintenance of systems has become more and more complex. One reason for this is that systems consist of many components which depend on each other. On the one hand, interactions between components complicate the modelling and optimization of maintenance. On the other hand, interactions also offer the opportunity to group maintenance which may save costs. It follows that planning maintenance actions is a big challenge and it is not surprising that many scholars have studied maintenance optimization problems for multi-component systems. In some articles new solution methods for existing problems are proposed, in other articles new maintenance policies for multi-component systems are studied. Moreover, the number of papers with practical applications of optimal maintenance of multi-component systems is still growing.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
11.9 References
Assaf D, Shanthikumar J, (1987) Optimal group maintenance policies with continuous and periodic inspections. Management Science 33:1440–1452
Barros A, Bérenguer C, Grall A, (2006) A maintenance policy for two-unit parallel systems based on imperfect monitoring information. Reliability Engineering and System Safety 91:131–136
Budai G, Huisman D, Dekker R, (2006) Scheduling preventive railway maintenance activities. Journal of the Operational Research Society 57:1035–1044
Castanier B, Grall A, Bérenguer C (2005) A condition-based maintenance policy with non-periodic inspections for a two-unit series system. Reliability Engineering & System Safety 87:109–120
Cho D, Parlar M, (1991) A survey of maintenance models for multi-unit systems. European Journal of Operational Research 51:1–23
Dekker R, Plasmeijer R, Swart J, (1998a) Evaluation of a new maintenance concept for the preservation of highways. IMA Journal of Mathematics applied in Business and Industry 9:109–156
Dekker R, van der Duyn Schouten F, Wildeman R, (1996) A review of multi-component maintenance models with economic dependence. Mathematical Methods of Operations Research 45:411–435
Dekker R, van der Meer J, Plasmeijer R, Wildeman R, (1998b) Maintenance of light-standards: a case-study. Journal of the Operational Research Society 49:132–143
Goyal, S, Kusy M, (1985) Determining economic maintenance frequency for a family of machines. Journal of the Operational Research Society 36:1125–1128
Grigoriev A, van de Klundert J, Spieksma F, (2006) Modeling and solving the periodic maintenance problem. European Journal of Operational Research 172:783–797
Gürler Ü, Kaya A, (2002) A maintenance policy for a system with multi-state components: an approximate solution. Reliability Engineering & System Safety 76:117–127
Higgins A, (1998) Scheduling of railway track maintenance activities and crews. Journal of the Operational Research Society 49:1026–1033
Jhang J, Sheu S, (2000) Optimal age and block replacement policies for a multi-component system with failure interaction. International Journal of Systems Science 31:593–603
Lai M, Chen Y, (2006) Optimal periodic replacement policy for a two-unit system with failure rate interaction. The International Journal of Advanced Manufacturing and Technology 29:367–371
Langdon W, Treleaven P, (1997) Scheduling maintenance of electrical power transmission networks using genetic programming. In Warwick K, Ekwue A, Aggarwal R, (eds.) Artificial intelligence techniques in power systems, Institution of Electrical Engineers, Stevenage, UK, 220–237
Murthy D, Nguyen D, (1985a) Study of a multi-component system with failure interaction. European Journal of Operational Research 21:330–338
Murthy D, Nguyen, D (1985b) Study of two-component system with failure interaction. Naval Research Logistics Quarterly 32:239–247
Nakagawa T, Murthy D, (1993) Optimal replacement policies for a two-unit system with failure interactions. RAIRO Recherche operationelle / Operations Research 27:427–438
Okumoto K, Elsayed E, (1983) An optimum group maintenance policy. Naval Research Logistics Quarterly 30:667–674
Özekici S, (1988) Optimal periodic replacement of multicomponent reliability systems. Operations Research 36:542–552
Papadakis I, Kleindorfer P, (2005) Optimizing infrastructure network maintenance when benefits are interdependent. OR Spectrum 27:63–84
Pham H, Wang H, (2000) Optimal (τ, T) opportunistic maintenance of a k-out-of-n:G system with imperfect PM and partial failure. Naval Research Logistics 47:223–239
Popova E, Wilson J, (1999) Group replacement policies for parallel systems whose components have phase distributed failure times. Annals of Operations Research 91: 163–189
Ritchken P, Wilson J, (1990) (m; T) group maintenance policies. Management Science 36:632–639
Sasieni M, (1956) A Markov chain process in industrial replacement. Operational Research Quarterly 7:148–155
Satow T, Osaki S, (2003) Optimal replacement policies for a two-unit system with shock damage interaction. Computers and Mathematics with Applications 46:1129–1138
Scarf P, Deara M, (1998) On the development and application of maintenance policies for a two-component system with failure dependence. IMA Journal of Mathematics Applied in Business & Industry 9:91–107
Scarf P, Deara M, (2003) Block replacement policies for a two-component system with failure dependence. Naval Research Logistics 50:70–87
Sheu S, Jhang J, (1996) A generalized group maintenance policy, European Journal of Operational Research 96:232–247
Sheu S, Kuo C, (1994) Optimal age replacement policy with minimal repair and general random repair costs for a multi-unit system. RAIRO Recherche Operationelle/Operations Research 28:85–95
Sheu S, Liou C, (1992) Optimal replacement of a k-out-of-n system subject to shocks. Microelectronics Reliability 32:649–655
Smith M, Dekker R, (1997) Preventive maintenance in a 1 out of n system: the uptime, downtime and costs. European Journal of Operational Research 99:565–583
Sriskandarajah C, Jardine A, Chan C, (1998) Maintenance scheduling of rolling stock using a genetic algorithm. Journal of the Operational Research Society 49:1130–1145
Stengos D, Thomas L, (1980) The blast furnaces problem. European Journal of Operational Research 4:330–336
Thomas L, (1986) A survey of maintenance and replacement models for maintainability and reliability of multi-item systems. Reliability Engineering 16:297–309
Van der Duyn Schouten F, Vanneste S, (1993) Two simple control policies for a multicomponent maintenance system. Operations Research 41:1125–1136
Van der Duyn Schouten F, van Vlijmen B, Vos de Wael S, (1998) Replacement policies for traffic control signals. IMA Journal of Mathematics Applied in Business & Industry 9:325–346
Van Dijkhuizen G, (2000) Maintenance grouping in multi-setup multi-component production systems. In Ben-Daya M, Duffuaa S, Raouf A, (eds.) Maintenance, Modeling and Optimization, Kluwer Academic Publishers, Boston, 283–306
Wang H, (2002) A survey of maintenance policies of deteriorating systems. European Journal of Operational Research 139:469–489
Zequeira R, Bérenguer C, (2005) On the inspection policy of a two-component parallel system with failure interaction. Reliability Engineering and System Safety 88:99–107
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2008 Springer-Verlag London Limited
About this chapter
Cite this chapter
Nicolai, R.P., Dekker, R. (2008). Optimal Maintenance of Multi-component Systems: A Review. In: Complex System Maintenance Handbook. Springer Series in Reliability Engineering. Springer, London. https://doi.org/10.1007/978-1-84800-011-7_11
Download citation
DOI: https://doi.org/10.1007/978-1-84800-011-7_11
Publisher Name: Springer, London
Print ISBN: 978-1-84800-010-0
Online ISBN: 978-1-84800-011-7
eBook Packages: EngineeringEngineering (R0)