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A new approximate evaluation method for two-echelon inventory systems with emergency shipments

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  • Erhun Özkan
  • Geert-Jan Houtum
  • Yasemin Serin

Abstract

We consider the inventory control of repairable spare parts in a network consisting of a central warehouse, a central repair facility, and multiple local warehouses. Demands for spare parts occur at the local warehouses. If a local warehouse is out of stock, then an arriving demand is satisfied by an emergency shipment from the central warehouse or the central repair facility. Such emergency shipments are common practice for networks that support technical systems with high downtime costs. We develop a new evaluation method that provides accurate approximations for the key performance measures like fractions of demands supplied by the local warehouses or emergency shipments. The method can be easily incorporated in existing (greedy) heuristic optimization methods. Our method outperforms the approximate evaluation method of Muckstadt and Thomas (Manag. Sci. 26:483–494, 1980 ), as we show via a numerical analysis. Finally, we show that the performance of the system is virtually insensitive to the leadtime distribution of repairs at the central repair facility. Copyright Springer Science+Business Media New York 2015

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  • Erhun Özkan & Geert-Jan Houtum & Yasemin Serin, 2015. "A new approximate evaluation method for two-echelon inventory systems with emergency shipments," Annals of Operations Research, Springer, vol. 224(1), pages 147-169, January.
    • Handle: RePEc:spr:annopr:v:224:y:2015:i:1:p:147-169:10.1007/s10479-013-1401-9
    DOI: 10.1007/s10479-013-1401-9
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    1. Arie Harel, 1990. "Convexity Properties of the Erlang Loss Formula," Operations Research, INFORMS, vol. 38(3), pages 499-505, June.
    2. Stephen C. Graves, 1985. "A Multi-Echelon Inventory Model for a Repairable Item with One-for-One Replenishment," Management Science, INFORMS, vol. 31(10), pages 1247-1256, October.
    3. Sven Axsäter & Marcel Kleijn & Ton de Kok, 2004. "Stock Rationing in a Continuous Review Two-Echelon Inventory Model," Annals of Operations Research, Springer, vol. 126(1), pages 177-194, February.
    4. Haritha Saranga & U. Kumar, 2006. "“Optimization of aircraft maintenance/support infrastructure using genetic algorithms—level of repair analysis”," Annals of Operations Research, Springer, vol. 143(1), pages 91-106, March.
    5. John A. Muckstadt & L. Joseph Thomas, 1980. "Are Multi-Echelon Inventory Methods Worth Implementing in Systems with Low-Demand-Rate Items?," Management Science, INFORMS, vol. 26(5), pages 483-494, May.
    6. Andersson, Jonas & Melchiors, Philip, 2001. "A two-echelon inventory model with lost sales," International Journal of Production Economics, Elsevier, vol. 69(3), pages 307-315, February.
    7. Patrik Alfredsson & Jos Verrijdt, 1999. "Modeling Emergency Supply Flexibility in a Two-Echelon Inventory System," Management Science, INFORMS, vol. 45(10), pages 1416-1431, October.
    8. William Karush, 1957. "A Queuing Model for an Inventory Problem," Operations Research, INFORMS, vol. 5(5), pages 693-703, October.
    9. Paterson, Colin & Kiesmüller, Gudrun & Teunter, Ruud & Glazebrook, Kevin, 2011. "Inventory models with lateral transshipments: A review," European Journal of Operational Research, Elsevier, vol. 210(2), pages 125-136, April.
    10. Craig C. Sherbrooke, 1968. "Metric: A Multi-Echelon Technique for Recoverable Item Control," Operations Research, INFORMS, vol. 16(1), pages 122-141, February.
    11. Warren H. Hausman & Nesim K. Erkip, 1994. "Multi-Echelon vs. Single-Echelon Inventory Control Policies for Low-Demand Items," Management Science, INFORMS, vol. 40(5), pages 597-602, May.
    12. H Wong & G J van Houtum & D Cattrysse & D Van Oudheusden, 2005. "Simple, efficient heuristics for multi-item multi-location spare parts systems with lateral transshipments and waiting time constraints," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 56(12), pages 1419-1430, December.
    13. R. Basten & J. Schutten & M. Heijden, 2009. "An efficient model formulation for level of repair analysis," Annals of Operations Research, Springer, vol. 172(1), pages 119-142, November.
    14. Kranenburg, A.A. & van Houtum, G.J., 2009. "A new partial pooling structure for spare parts networks," European Journal of Operational Research, Elsevier, vol. 199(3), pages 908-921, December.
    15. Jovan Grahovac & Amiya Chakravarty, 2001. "Sharing and Lateral Transshipment of Inventory in a Supply Chain with Expensive Low-Demand Items," Management Science, INFORMS, vol. 47(4), pages 579-594, April.
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    Cited by:

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    7. van den Berg, D. & van der Heijden, M.C. & Schuur, P.C., 2016. "Allocating service parts in two-echelon networks at a utility company," International Journal of Production Economics, Elsevier, vol. 181(PA), pages 58-67.
    8. Johansson, Lina & Olsson, Fredrik, 2018. "Age-based inventory control in a multi-echelon system with emergency replenishments," European Journal of Operational Research, Elsevier, vol. 265(3), pages 951-961.

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