Abstract
The fill rate service measure describes the proportion of customers who commence service immediately upon arrival. Since, however, customers will usually tolerate a certain wait time, managers should consider the window fill rate in lieu of the fill rate. That is, the performance measure of interest is the probability that a customer is served within the tolerable wait time. In this paper, we develop approximation formulas for the window fill rate in a two-echelon, exchangeable-item repair system in which the upper echelon is a central depot and the lower echelon comprises multiple locations. We demonstrate the use of the formulas through a numerical example and measure the approximation error of the window fill rate formulas using simulation.
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References
Basten, R.J.I., van Houtum, G.J.: Near-optimal heuristics to set base stock levels in a two-echelon distribution network. Int. J. Prod. Econ. 143(2), 546–552 (2013)
Basten, R.J.I., van Houtum, G.J.: System-oriented inventory models for spare parts. Surv. Oper. Res. Manage. Sci. 19(1), 34–55 (2014)
Berg, M., Posner, M.J.M.: Customer delay in \(M/G/\infty \) repair systems with spares. Oper. Res. 38(2), 344–348 (1990)
Caggiano, K.E., Jackson, P.L., Muckstadt, J.A., Rappold, J.A.: Optimizing service parts inventory in a multiechelon, multi-item supply chain with time-based customer service-level agreements. Oper. Res. 55(2), 303–318 (2007)
Diaz, A., Fu, M.C.: Models for multi-echelon repairable item inventory systems with limited repair capacity. Eur. J. Oper. Res. 97(3), 480–492 (1997)
Dreyfuss, M., Giat, Y.: Multi-echelon exchangeable-item repair system optimization. Working Paper. Jerusalem College of Technology (2016)
Dreyfuss, M., Giat, Y.: Optimal spares allocation in an exchangeable-item repair system with tolerable wait. Eur. J. Oper. Res. forthcoming (2017)
Durrande-Moreau, A.: Waiting for service: ten years of empirical research. Int. J. Serv. Ind. Manage. 10(2), 171–194 (1999)
Ghaddar, B., Sakr, N., Asiedu, Y.: Spare parts stocking analysis using genetic programming. Eur. J. Oper. Res. (forthcoming) (2016)
Graves, S.C.: A multi-echelon inventory model for a repairable item with one-for-one replenishment. Manage. Sci. 31(10), 1247–1256 (1985)
Katz, K.L., Larson, B.M., Larson, R.C.: Prescription for the waiting-in-line blues: entertain, enlighten, and engage. MIT Sloan Manage. Rev. 32(2), 44 (1991)
Levner, E., Perlman, Y., Cheng, T.C.E., Levner, I.: A network approach to modeling the multi-echelon spare-part inventory system with backorders and interval-valued demand. Int. J. Prod. Econ. 132(1), 43–51 (2011)
Lien, R.W., Iravani, S.M., Smilowitz, K.R.: Sequential resource allocation for nonprofit operations. Oper. Res. 62(2), 301–317 (2014)
Muckstadt, J.A.: Analysis and Algorithms for Service Parts Supply Chains. Springer Science & Business Media (2005)
Sherbrooke, C.C.: METRIC: a multi-echelon technique for recoverable item control. Oper. Res. 16(1), 122–141 (1968)
Sherbrooke, C.C.: Optimal Inventory Modeling of Systems: Multi-Echelon Techniques, vol. 72. Springer Science & Business Media (2004)
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Dreyfuss, M., Giat, Y. (2018). Window Fill Rate in a Two-Echelon Exchangeable-Item Repair-System. In: Fink, A., Fügenschuh, A., Geiger, M. (eds) Operations Research Proceedings 2016. Operations Research Proceedings. Springer, Cham. https://doi.org/10.1007/978-3-319-55702-1_39
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DOI: https://doi.org/10.1007/978-3-319-55702-1_39
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