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Simultaneous Production and Maintenance Planning for a Single Capacitated Resource facing both a Dynamic Demand and Intensive Wear and Tear

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  • Wolter, Anja
  • Helber, Stefan

Abstract

This paper presents a generic modeling framework to simultaneously decide about production quantities and maintenance operations for a capacitated resource facing a dynamic demand for di erent types of products. As the resource needs to be setup for each speci c type of product, a lot-sizing problem occurs. In addition it is assumed that production causes intensive wear and tear. For this reason frequent maintenance activities need to be coordinated with the production operations in order to e ciently use the capacitated resource. A single generic model is presented to capture alternative forms of maintenance and di erent modes of interaction between maintenance and setups. As the model is numerically intractable for standard branch & bound algorithms, we solve it heuristically via a decomposition using a Fix-and-Optimize approach. Numerical results show that the proposed solution method produces high-quality results quickly. We further study the impact of simultaneous vs. sequential decisions about production and maintenance in the case of intensive wear and tear.

Suggested Citation

  • Wolter, Anja & Helber, Stefan, 2013. "Simultaneous Production and Maintenance Planning for a Single Capacitated Resource facing both a Dynamic Demand and Intensive Wear and Tear," Hannover Economic Papers (HEP) dp-522, Leibniz Universität Hannover, Wirtschaftswissenschaftliche Fakultät.
  • Handle: RePEc:han:dpaper:dp-522
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    References listed on IDEAS

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    1. Chelbi, Anis & Ait-Kadi, Daoud, 2004. "Analysis of a production/inventory system with randomly failing production unit submitted to regular preventive maintenance," European Journal of Operational Research, Elsevier, vol. 156(3), pages 712-718, August.
    2. Wolsey, L. A., 1995. "Progress with single-item lot-sizing," LIDAM Reprints CORE 1174, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    3. Fleischmann, B. & Meyr, H., 1997. "The General Lotsizing and Scheduling Problem," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 36068, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    4. Drexl, Andreas & Haase, Knut, 1995. "Proportional lotsizing and scheduling," International Journal of Production Economics, Elsevier, vol. 40(1), pages 73-87, June.
    5. Aghezzaf, E.H. & Jamali, M.A. & Ait-Kadi, D., 2007. "An integrated production and preventive maintenance planning model," European Journal of Operational Research, Elsevier, vol. 181(2), pages 679-685, September.
    6. Yuan, Jinjiang & Qi, Xianglai & Lu, Lingfa & Li, Wenhua, 2008. "Single machine unbounded parallel-batch scheduling with forbidden intervals," European Journal of Operational Research, Elsevier, vol. 186(3), pages 1212-1217, May.
    7. X Qi & T Chen & F Tu, 1999. "Scheduling the maintenance on a single machine," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 50(10), pages 1071-1078, October.
    8. Drexl, A. & Kimms, A., 1997. "Lot sizing and scheduling -- Survey and extensions," European Journal of Operational Research, Elsevier, vol. 99(2), pages 221-235, June.
    9. Allaoui, H. & Lamouri, S. & Artiba, A. & Aghezzaf, E., 2008. "Simultaneously scheduling n jobs and the preventive maintenance on the two-machine flow shop to minimize the makespan," International Journal of Production Economics, Elsevier, vol. 112(1), pages 161-167, March.
    10. Gharbi, A. & Kenne, J.-P. & Beit, M., 2007. "Optimal safety stocks and preventive maintenance periods in unreliable manufacturing systems," International Journal of Production Economics, Elsevier, vol. 107(2), pages 422-434, June.
    11. Lee, Chung-Yee & Lin, Chen-Sin, 2001. "Single-machine scheduling with maintenance and repair rate-modifying activities," European Journal of Operational Research, Elsevier, vol. 135(3), pages 493-513, December.
    12. Helber, Stefan & Sahling, Florian, 2010. "A fix-and-optimize approach for the multi-level capacitated lot sizing problem," International Journal of Production Economics, Elsevier, vol. 123(2), pages 247-256, February.
    13. Wolsey, Laurence A., 1995. "Progress with single-item lot-sizing," European Journal of Operational Research, Elsevier, vol. 86(3), pages 395-401, November.
    14. Jans, Raf & Degraeve, Zeger, 2007. "Meta-heuristics for dynamic lot sizing: A review and comparison of solution approaches," European Journal of Operational Research, Elsevier, vol. 177(3), pages 1855-1875, March.
    15. 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.
    16. Kuik, Roelof & Salomon, Marc & van Wassenhove, Luk N., 1994. "Batching decisions: structure and models," European Journal of Operational Research, Elsevier, vol. 75(2), pages 243-263, June.
    17. Marc Salomon & Leo G. Kroon & Roelof Kuik & Luk N. Van Wassenhove, 1991. "Some Extensions of the Discrete Lotsizing and Scheduling Problem," Management Science, INFORMS, vol. 37(7), pages 801-812, July.
    18. Brahimi, Nadjib & Dauzere-Peres, Stephane & Najid, Najib M. & Nordli, Atle, 2006. "Single item lot sizing problems," European Journal of Operational Research, Elsevier, vol. 168(1), pages 1-16, January.
    19. Karimi, B. & Fatemi Ghomi, S. M. T. & Wilson, J. M., 2003. "The capacitated lot sizing problem: a review of models and algorithms," Omega, Elsevier, vol. 31(5), pages 365-378, October.
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    1. Hendrik Butemann & Katja Schimmelpfeng, 2020. "Long-term electricity production planning of a flexible biogas plant considering wear and tear," Journal of Business Economics, Springer, vol. 90(9), pages 1289-1313, November.

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