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Modeling and solving the periodic maintenance problem

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  • Grigoriev, Alexander
  • van de Klundert, Joris
  • Spieksma, Frits C.R.

Abstract

We study the problem of scheduling maintenance services. Given is a set of mmachines and integral cost-coefficients ai and bi for each machine i (1
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Suggested Citation

  • 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.
    • Handle: RePEc:eee:ejores:v:172:y:2006:i:3:p:783-797
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    References listed on IDEAS

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    1. Rommert Dekker & Ralph Wildeman & Frank Duyn Schouten, 1997. "A review of multi-component maintenance models with economic dependence," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 45(3), pages 411-435, October.
    2. Cynthia Barnhart & Ellis L. Johnson & George L. Nemhauser & Martin W. P. Savelsbergh & Pamela H. Vance, 1998. "Branch-and-Price: Column Generation for Solving Huge Integer Programs," Operations Research, INFORMS, vol. 46(3), pages 316-329, June.
    3. Amotz Bar-Noy & Randeep Bhatia & Joseph (Seffi) Naor & Baruch Schieber, 2002. "Minimizing Service and Operation Costs of Periodic Scheduling," Mathematics of Operations Research, INFORMS, vol. 27(3), pages 518-544, August.
    4. Kralj, Branimir L. & Petrovic, Radivoj, 1988. "Optimal preventive maintenance scheduling of thermal generating units in power systems --A survey of problem formulations and solution methods," European Journal of Operational Research, Elsevier, vol. 35(1), pages 1-15, April.
    5. Harvey M. Wagner & Richard J. Giglio & R. George Glaser, 1964. "Preventive Maintenance Scheduling by Mathematical Programming," Management Science, INFORMS, vol. 10(2), pages 316-334, January.
    6. S. Anily & C.A. Glass & R. Hassin, 1999. "Scheduling maintenance services to three machines," Annals of Operations Research, Springer, vol. 86(0), pages 375-391, January.
    7. Kralj, Branimir & Petrovic, Radivoj, 1995. "A multiobjective optimization approach to thermal generating units maintenance scheduling," European Journal of Operational Research, Elsevier, vol. 84(2), pages 481-493, July.
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    Cited by:

    1. Kuschel, Torben & Bock, Stefan, 2016. "The weighted uncapacitated planned maintenance problem: Complexity and polyhedral properties," European Journal of Operational Research, Elsevier, vol. 250(3), pages 773-781.
    2. 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.
    3. Phan, Dzung T. & Zhu, Yada, 2015. "Multi-stage optimization for periodic inspection planning of geo-distributed infrastructure systems," European Journal of Operational Research, Elsevier, vol. 245(3), pages 797-804.
    4. Asaf Levin & Gur Mosheiov & Assaf Sarig, 2009. "Scheduling a maintenance activity on parallel identical machines," Naval Research Logistics (NRL), John Wiley & Sons, vol. 56(1), pages 33-41, February.
    5. Fahimeh Shamsaei & Mathieu Vyve, 2017. "Solving integrated production and condition-based maintenance planning problems by MIP modeling," Flexible Services and Manufacturing Journal, Springer, vol. 29(2), pages 184-202, June.
    6. Thomas Bittar & Pierre Carpentier & Jean-Philippe Chancelier & Jérôme Lonchampt, 2022. "A decomposition method by interaction prediction for the optimization of maintenance scheduling," Annals of Operations Research, Springer, vol. 316(1), pages 229-267, September.
    7. Robin P. Nicolai & Rommert Dekker, 2008. "Optimal Maintenance of Multi-component Systems: A Review," Springer Series in Reliability Engineering, in: Complex System Maintenance Handbook, chapter 11, pages 263-286, Springer.
    8. M. A. Kubzin & V. A. Strusevich, 2006. "Planning Machine Maintenance in Two-Machine Shop Scheduling," Operations Research, INFORMS, vol. 54(4), pages 789-800, August.
    9. Joo, Seong-Jong, 2009. "Scheduling preventive maintenance for modular designed components: A dynamic approach," European Journal of Operational Research, Elsevier, vol. 192(2), pages 512-520, January.
    10. Núñez-del-Toro, Cristina & Fernández, Elena & Kalcsics, Jörg & Nickel, Stefan, 2016. "Scheduling policies for multi-period services," European Journal of Operational Research, Elsevier, vol. 251(3), pages 751-770.
    11. Lin, Boliang & Wu, Jianping & Lin, Ruixi & Wang, Jiaxi & Wang, Hui & Zhang, Xuhui, 2019. "Optimization of high-level preventive maintenance scheduling for high-speed trains," Reliability Engineering and System Safety, Elsevier, vol. 183(C), pages 261-275.
    12. Kuschel, Torben & Bock, Stefan, 2019. "Solving the Weighted Capacitated Planned Maintenance Problem and its variants," European Journal of Operational Research, Elsevier, vol. 272(3), pages 847-858.
    13. Fernández, Elena & Kalcsics, Jörg & Núñez-del-Toro, Cristina, 2017. "A branch-and-price algorithm for the Aperiodic Multi-Period Service Scheduling Problem," European Journal of Operational Research, Elsevier, vol. 263(3), pages 805-814.
    14. Fitouhi, Mohamed-Chahir & Nourelfath, Mustapha, 2012. "Integrating noncyclical preventive maintenance scheduling and production planning for a single machine," International Journal of Production Economics, Elsevier, vol. 136(2), pages 344-351.
    15. Gizem Keysan & George L. Nemhauser & Martin W. P. Savelsbergh, 2010. "Tactical and Operational Planning of Scheduled Maintenance for Per-Seat, On-Demand Air Transportation," Transportation Science, INFORMS, vol. 44(3), pages 291-306, August.
    16. Todosijević, Raca & Benmansour, Rachid & Hanafi, Saïd & Mladenović, Nenad & Artiba, Abdelhakim, 2016. "Nested general variable neighborhood search for the periodic maintenance problem," European Journal of Operational Research, Elsevier, vol. 252(2), pages 385-396.
    17. S Y Sohn & K B Yoon, 2010. "Dynamic preventive maintenance scheduling of the modules of fighter aircraft based on random effects regression model," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 61(6), pages 974-979, June.
    18. Michael Patriksson & Ann-Brith Strömberg & Adam Wojciechowski, 2015. "The stochastic opportunistic replacement problem, part II: a two-stage solution approach," Annals of Operations Research, Springer, vol. 224(1), pages 51-75, January.

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