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

E. Ozkan, G.J.J.A.N. Houtum, van, Y. Serin

Research output: Book/ReportReportAcademic

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Abstract

We consider the 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 delivery 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, and it is important to take them into account when the inventory is optimized. Our main contribution consists of the development of a new approximate evaluation method. This method gives accurate approximations for the key performance measures, as we show via numerical analysis. The method is also fast and thus can easily be incorporated in existing (greedy) heuristic optimization methods. Our method outperforms the approximate evaluation method of Muckstadt and Thomas (1980), as we also show via the numerical analysis. Finally, we show that the performance of the system is rather insensitive to the leadtime distribution of the repairs at the central repair facility, which implies that our method works well for generally distributed repair leadtimes.
Original languageEnglish
Place of PublicationEindhoven
PublisherTechnische Universiteit Eindhoven
Number of pages29
Publication statusPublished - 2011

Publication series

NameBETA publicatie : working papers
Volume363
ISSN (Print)1386-9213

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Warehouses
Repair
Numerical analysis

Cite this

Ozkan, E., Houtum, van, G. J. J. A. N., & Serin, Y. (2011). A new approximate evaluation method for two-echelon inventory systems with emergency shipments. (BETA publicatie : working papers; Vol. 363). Eindhoven: Technische Universiteit Eindhoven.
Ozkan, E. ; Houtum, van, G.J.J.A.N. ; Serin, Y. / A new approximate evaluation method for two-echelon inventory systems with emergency shipments. Eindhoven : Technische Universiteit Eindhoven, 2011. 29 p. (BETA publicatie : working papers).
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Ozkan, E, Houtum, van, GJJAN & Serin, Y 2011, A new approximate evaluation method for two-echelon inventory systems with emergency shipments. BETA publicatie : working papers, vol. 363, Technische Universiteit Eindhoven, Eindhoven.

A new approximate evaluation method for two-echelon inventory systems with emergency shipments. / Ozkan, E.; Houtum, van, G.J.J.A.N.; Serin, Y.

Eindhoven : Technische Universiteit Eindhoven, 2011. 29 p. (BETA publicatie : working papers; Vol. 363).

Research output: Book/ReportReportAcademic

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AB - We consider the 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 delivery 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, and it is important to take them into account when the inventory is optimized. Our main contribution consists of the development of a new approximate evaluation method. This method gives accurate approximations for the key performance measures, as we show via numerical analysis. The method is also fast and thus can easily be incorporated in existing (greedy) heuristic optimization methods. Our method outperforms the approximate evaluation method of Muckstadt and Thomas (1980), as we also show via the numerical analysis. Finally, we show that the performance of the system is rather insensitive to the leadtime distribution of the repairs at the central repair facility, which implies that our method works well for generally distributed repair leadtimes.

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Ozkan E, Houtum, van GJJAN, Serin Y. A new approximate evaluation method for two-echelon inventory systems with emergency shipments. Eindhoven: Technische Universiteit Eindhoven, 2011. 29 p. (BETA publicatie : working papers).