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Scheduling periodic preventive maintenance with a single server in a finite horizon

Author

Listed:
  • Nikos P. Rachaniotis
  • Theodore G. Voutsinas
  • Costas P. Pappis

Abstract

A deterministic scheduling problem of a single maintenance crew or facility responsible for the periodic preventive maintenance of n machines of a production system is considered. Each machine has a cost (e.g., an environmental emission) that deteriorates over time according to a convex and increasing function. The objective is to find a maintenance sequence policy that optimises the overall efficiency (e.g., minimises the total emission) of the system in a finite horizon, under a continuous time relaxation, i.e., the time is considered continuous and not discrete. The proposed greedy algorithm is proven to yield optimal solutions for the relaxed problem.

Suggested Citation

  • Nikos P. Rachaniotis & Theodore G. Voutsinas & Costas P. Pappis, 2013. "Scheduling periodic preventive maintenance with a single server in a finite horizon," International Journal of Decision Sciences, Risk and Management, Inderscience Enterprises Ltd, vol. 5(1), pages 80-87.
    • Handle: RePEc:ids:ijdsrm:v:5:y:2013:i:1:p:80-87
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    References listed on IDEAS

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    1. Janiak, Adam & Krysiak, Tomasz, 2012. "Scheduling jobs with values dependent on their completion times," International Journal of Production Economics, Elsevier, vol. 135(1), pages 231-241.
    2. Wang, Hongzhou, 2002. "A survey of maintenance policies of deteriorating systems," European Journal of Operational Research, Elsevier, vol. 139(3), pages 469-489, June.
    3. Grigoriev, Alexander & van de Klundert, Joris & Spieksma, Frits C.R., 2006. "Modeling and solving the periodic maintenance problem," European Journal of Operational Research, Elsevier, vol. 172(3), pages 783-797, August.
    4. Voutsinas, Theodore G. & Pappis, Costas P., 2002. "Scheduling jobs with values exponentially deteriorating over time," International Journal of Production Economics, Elsevier, vol. 79(3), pages 163-169, October.
    5. Rachaniotis, N.P. & Pappis, C.P., 2008. "Preventive maintenance and upgrade system: Optimizing the whole performance system by components' replacement or rearrangement," International Journal of Production Economics, Elsevier, vol. 112(1), pages 236-244, March.
    6. Janiak, Adam & Krysiak, Tomasz & Pappis, Costas P. & Voutsinas, Theodore G., 2009. "A scheduling problem with job values given as a power function of their completion times," European Journal of Operational Research, Elsevier, vol. 193(3), pages 836-848, March.
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