IDEAS home Printed from https://ideas.repec.org/a/spr/annopr/v224y2015i1p77-10010.1007-s10479-013-1426-0.html
   My bibliography  Save this article

Aggregate overhaul and supply chain planning for rotables

Author

Listed:
  • Joachim Arts
  • Simme Flapper

Abstract

We consider the problem of planning preventive maintenance and overhaul for modules that are used in a fleet of assets such as trains or airplanes. Each type of module, or rotable, has its own maintenance program in which a maximum amount of time/usage between overhauls of a module is stipulated. Overhauls are performed in an overhaul workshop with limited capacity. The problem we study is to determine aggregate workforce levels, turn-around stock levels of modules, and overhaul and replacement quantities per period so as to minimize the sum of labor costs, material costs of overhaul, and turn-around stock investments over the entire life-cycle of the maintained asset. We prove that this planning problem is strongly $\mathcal{NP}$ -hard, but we also provide computational evidence that the mixed integer programming formulation can be solved within reasonable time for real-life instances. Furthermore, we show that the linear programming relaxation can be used to aid decision making. We apply the model in a case study and provide computational results for randomly generated instances. Copyright Springer Science+Business Media New York 2015

Suggested Citation

  • Joachim Arts & Simme Flapper, 2015. "Aggregate overhaul and supply chain planning for rotables," Annals of Operations Research, Springer, vol. 224(1), pages 77-100, January.
  • Handle: RePEc:spr:annopr:v:224:y:2015:i:1:p:77-100:10.1007/s10479-013-1426-0
    DOI: 10.1007/s10479-013-1426-0
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s10479-013-1426-0
    Download Restriction: Access to full text is restricted to subscribers.

    File URL: https://libkey.io/10.1007/s10479-013-1426-0?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Gabriel R. Bitran & Elizabeth A. Haas & Arnoldo C. Hax, 1981. "Hierarchical Production Planning: A Single Stage System," Operations Research, INFORMS, vol. 29(4), pages 717-743, August.
    2. B. P. Dzielinski & C. T. Baker & A. S. Manne, 1963. "Simulation Tests of Lot Size Programming," Management Science, INFORMS, vol. 9(2), pages 229-258, January.
    3. Chia-Hung Chen & Shangyao Yan & Miawjane Chen, 2010. "Short-term manpower planning for MRT carriage maintenance under mixed deterministic and stochastic demands," Annals of Operations Research, Springer, vol. 181(1), pages 67-88, December.
    4. Nima Safaei & Dragan Banjevic & Andrew Jardine, 2011. "Workforce-constrained maintenance scheduling for military aircraft fleet: a case study," Annals of Operations Research, Springer, vol. 186(1), pages 295-316, June.
    5. van Dijkhuizen, Gerhard & van Harten, Aart, 1997. "Optimal clustering of frequency-constrained maintenance jobs with shared set-ups," European Journal of Operational Research, Elsevier, vol. 99(3), pages 552-564, June.
    6. Peter J. Billington & John O. McClain & L. Joseph Thomas, 1983. "Mathematical Programming Approaches to Capacity-Constrained MRP Systems: Review, Formulation and Problem Reduction," Management Science, INFORMS, vol. 29(10), pages 1126-1141, October.
    7. 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.
    8. Spitter, J. M. & Hurkens, C. A. J. & de Kok, A. G. & Lenstra, J. K. & Negenman, E. G., 2005. "Linear programming models with planned lead times for supply chain operations planning," European Journal of Operational Research, Elsevier, vol. 163(3), pages 706-720, June.
    9. Erenguc, S. Selcuk & Simpson, N. C. & Vakharia, Asoo J., 1999. "Integrated production/distribution planning in supply chains: An invited review," European Journal of Operational Research, Elsevier, vol. 115(2), pages 219-236, June.
    10. 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.
    11. Gabriel R. Bitran & Elizabeth A. Haas & Arnoldo C. Hax, 1982. "Hierarchical Production Planning: A Two-Stage System," Operations Research, INFORMS, vol. 30(2), pages 232-251, April.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Turan, Hasan Hüseyin & Jalalvand, Fatemeh & Elsawah, Sondoss & Ryan, Michael J., 2022. "A joint problem of strategic workforce planning and fleet renewal: With an application in defense," European Journal of Operational Research, Elsevier, vol. 296(2), pages 615-634.
    2. Omar Besbes & Adam N. Elmachtoub & Yunjie Sun, 2020. "Pricing Analytics for Rotable Spare Parts," Interfaces, INFORMS, vol. 50(5), pages 313-324, September.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Tian, Feng & Willems, Sean P. & Kempf, Karl G., 2011. "An iterative approach to item-level tactical production and inventory planning," International Journal of Production Economics, Elsevier, vol. 133(1), pages 439-450, September.
    2. Huang, Hai-Jun & Xu, Gang, 1998. "Aggregate scheduling and network solving of multi-stage and multi-item manufacturing systems," European Journal of Operational Research, Elsevier, vol. 105(1), pages 52-65, February.
    3. Julia Pahl & Stefan Voß & David Woodruff, 2007. "Production planning with load dependent lead times: an update of research," Annals of Operations Research, Springer, vol. 153(1), pages 297-345, September.
    4. Pokharel, Shaligram, 2008. "A two objective model for decision making in a supply chain," International Journal of Production Economics, Elsevier, vol. 111(2), pages 378-388, February.
    5. Golenko-Ginzburg, Dimitri & Sinuany-Stern, Zilla & Kats, Vladimir, 1996. "A multilevel decision-making system with multiple resources for controlling cotton harvesting," International Journal of Production Economics, Elsevier, vol. 46(1), pages 55-63, December.
    6. Dilaver, Halit Metehan & Akçay, Alp & van Houtum, Geert-Jan, 2023. "Integrated planning of asset-use and dry-docking for a fleet of maritime assets," International Journal of Production Economics, Elsevier, vol. 256(C).
    7. Patriksson, Michael, 2008. "A survey on the continuous nonlinear resource allocation problem," European Journal of Operational Research, Elsevier, vol. 185(1), pages 1-46, February.
    8. Comelli, Mickael & Féniès, Pierre & Tchernev, Nikolay, 2008. "A combined financial and physical flows evaluation for logistic process and tactical production planning: Application in a company supply chain," International Journal of Production Economics, Elsevier, vol. 112(1), pages 77-95, March.
    9. Van den Bergh, Jorne & Beliën, Jeroen & De Bruecker, Philippe & Demeulemeester, Erik & De Boeck, Liesje, 2013. "Personnel scheduling: A literature review," European Journal of Operational Research, Elsevier, vol. 226(3), pages 367-385.
    10. Malte Meistering & Hartmut Stadtler, 2020. "Stabilized-cycle strategy for a multi-item, capacitated, hierarchical production planning problem in rolling schedules," Business Research, Springer;German Academic Association for Business Research, vol. 13(1), pages 3-38, April.
    11. James R. Bradley & Peter W. Glynn, 2002. "Managing Capacity and Inventory Jointly in Manufacturing Systems," Management Science, INFORMS, vol. 48(2), pages 273-288, February.
    12. Jans, R.F. & Degraeve, Z., 2005. "Modeling Industrial Lot Sizing Problems: A Review," ERIM Report Series Research in Management ERS-2005-049-LIS, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus University Rotterdam.
    13. James R. Bradley & Bruce C. Arntzen, 1999. "The Simultaneous Planning of Production, Capacity, and Inventory in Seasonal Demand Environments," Operations Research, INFORMS, vol. 47(6), pages 795-806, December.
    14. Gahm, Christian & Uzunoglu, Aykut & Wahl, Stefan & Ganschinietz, Chantal & Tuma, Axel, 2022. "Applying machine learning for the anticipation of complex nesting solutions in hierarchical production planning," European Journal of Operational Research, Elsevier, vol. 296(3), pages 819-836.
    15. Schmid, Verena & Doerner, Karl F. & Laporte, Gilbert, 2013. "Rich routing problems arising in supply chain management," European Journal of Operational Research, Elsevier, vol. 224(3), pages 435-448.
    16. Tao Wu & Leyuan Shi & Joseph Geunes & Kerem Akartunalı, 2012. "On the equivalence of strong formulations for capacitated multi-level lot sizing problems with setup times," Journal of Global Optimization, Springer, vol. 53(4), pages 615-639, August.
    17. C S Sung & S H Song, 2003. "Integrated service network design for a cross-docking supply chain network," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 54(12), pages 1283-1295, December.
    18. J. Drechsel & A. Kimms, 2010. "The subcoalition-perfect core of cooperative games," Annals of Operations Research, Springer, vol. 181(1), pages 591-601, December.
    19. Hein, Fanny & Almeder, Christian, 2016. "Quantitative insights into the integrated supply vehicle routing and production planning problem," International Journal of Production Economics, Elsevier, vol. 177(C), pages 66-76.
    20. Phillip O. Kriett & Sebastian Eirich & Martin Grunow, 2017. "Cycle time-oriented mid-term production planning for semiconductor wafer fabrication," International Journal of Production Research, Taylor & Francis Journals, vol. 55(16), pages 4662-4679, August.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:annopr:v:224:y:2015:i:1:p:77-100:10.1007/s10479-013-1426-0. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.