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A network approach to modeling the multi-echelon spare-part inventory system with backorders and interval-valued demand

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  • Levner, Eugene
  • Perlman, Yael
  • Cheng, T.C.E.
  • Levner, Ilya

Abstract

A multi-echelon inventory system implies the existence of a hierarchy of stocking locations, and the dependence and interaction between them. We consider a multi-echelon, spare-part inventory management problem with outsourcing and backordering. The problem is characterized by deterministic repair time/cost, and supply and demand that lie within prescribed intervals and that vary over time. The objective is to minimize the total inventory and transportation costs. We develop a network model for problem analysis and present a network flow algorithm for solving the problem. We prove that the Wagner-Whitin property, known for the lot-sizing problem, can be extended to the spare-part inventory management problem under study.

Suggested Citation

  • Levner, Eugene & Perlman, Yael & Cheng, T.C.E. & Levner, Ilya, 2011. "A network approach to modeling the multi-echelon spare-part inventory system with backorders and interval-valued demand," International Journal of Production Economics, Elsevier, vol. 132(1), pages 43-51, July.
    • Handle: RePEc:eee:proeco:v:132:y:2011:i:1:p:43-51
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    References listed on IDEAS

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    1. Y Perlman & M Kaspi, 2007. "Centralized decision of internal transfer-prices with congestion externalities for two modes of repair with limited repair capacity," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 58(9), pages 1178-1184, September.
    2. Huiskonen, Janne, 2001. "Maintenance spare parts logistics: Special characteristics and strategic choices," International Journal of Production Economics, Elsevier, vol. 71(1-3), pages 125-133, May.
    3. I. J. B. F. Adan & A. Sleptchenko & G. J. Van Houtum, 2009. "Reducing Costs Of Spare Parts Supply Systems Via Static Priorities," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 26(04), pages 559-585.
    4. Willard I. Zangwill, 1969. "A Backlogging Model and a Multi-Echelon Model of a Dynamic Economic Lot Size Production System--A Network Approach," Management Science, INFORMS, vol. 15(9), pages 506-527, May.
    5. Minner, Stefan, 2003. "Multiple-supplier inventory models in supply chain management: A review," International Journal of Production Economics, Elsevier, vol. 81(1), pages 265-279, January.
    6. Awi Federgruen & Joern Meissner & Michal Tzur, 2007. "Progressive Interval Heuristics for Multi-Item Capacitated Lot-Sizing Problems," Operations Research, INFORMS, vol. 55(3), pages 490-502, June.
    7. Sleptchenko, A. & van der Heijden, M. C. & van Harten, A., 2002. "Effects of finite repair capacity in multi-echelon, multi-indenture service part supply systems," International Journal of Production Economics, Elsevier, vol. 79(3), pages 209-230, October.
    8. William Prager, 1956. "On the Caterer Problem," Management Science, INFORMS, vol. 3(1), pages 15-23, October.
    9. Liberopoulos, George & Tsikis, Isidoros & Delikouras, Stefanos, 2010. "Backorder penalty cost coefficient "b": What could it be?," International Journal of Production Economics, Elsevier, vol. 123(1), pages 166-178, January.
    10. Abdul-Jalbar, Beatriz & Gutiérrez, Jose M. & Sicilia, Joaquín, 2006. "Single cycle policies for the one-warehouse N-retailer inventory/distribution system," Omega, Elsevier, vol. 34(2), pages 196-208, April.
    11. Warren H. Hausman & Gary D. Scudder, 1982. "Priority Scheduling Rules for Repairable Inventory Systems," Management Science, INFORMS, vol. 28(11), pages 1215-1232, November.
    12. Harvey M. Wagner & Thomson M. Whitin, 1958. "Dynamic Version of the Economic Lot Size Model," Management Science, INFORMS, vol. 5(1), pages 89-96, October.
    13. Y Perlman & A Mehrez & M Kaspi, 2001. "Setting expediting repair policy in a multi-echelon repairable-item inventory system with limited repair capacity," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 52(2), pages 198-209, February.
    14. Kennedy, W. J. & Wayne Patterson, J. & Fredendall, Lawrence D., 2002. "An overview of recent literature on spare parts inventories," International Journal of Production Economics, Elsevier, vol. 76(2), pages 201-215, March.
    15. Sleptchenko, A. & van der Heijden, M. C. & van Harten, A., 2005. "Using repair priorities to reduce stock investment in spare part networks," European Journal of Operational Research, Elsevier, vol. 163(3), pages 733-750, June.
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    Cited by:

    1. Yu-kun Chen & Qi Gao & Xiao-bo Su & Shun Fang & Chi-ming Guo, 2018. "Research on optimization of spare parts inventory policy considering maintenance priority," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 9(6), pages 1336-1345, December.
    2. Fuat Kosanoglu & Mahir Atmis & Hasan Hüseyin Turan, 2024. "A deep reinforcement learning assisted simulated annealing algorithm for a maintenance planning problem," Annals of Operations Research, Springer, vol. 339(1), pages 79-110, August.
    3. Driessen, M.A. & van Houtum, G.J. & Zijm, W.H.M. & Rustenburg, W.D., 2020. "Capacity assignment in repair shops with high material uncertainty," International Journal of Production Economics, Elsevier, vol. 221(C).
    4. Wang, Gang & Lei, Lei, 2012. "Polynomial-time solvable cases of the capacitated multi-echelon shipping network scheduling problem with delivery deadlines," International Journal of Production Economics, Elsevier, vol. 137(2), pages 263-271.
    5. Wang, Naichao & Li, Mingyuan & Xiao, Boping & Ma, Lin, 2019. "Availability analysis of a general time distribution system with the consideration of maintenance and spares," Reliability Engineering and System Safety, Elsevier, vol. 192(C).
    6. Parvaneh Samouei & Amir Kheirkhah & Parviz Fattahi, 2015. "A network approach modeling of multi-echelon spare-part inventory system with backorders and quantity discount," Annals of Operations Research, Springer, vol. 226(1), pages 551-563, March.
    7. Jan Block & Alireza Ahmadi & Xun Xiao & Uday Kumar, 2019. "Spares provisioning strategy for periodically replaced units within the fleet retirement period," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 10(3), pages 299-315, June.

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