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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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    Cited by:

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    2. 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).
    3. 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.
    4. 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).
    5. 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.
    6. 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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