Abstract
We analyze the window fill rate in an inventory system with constant lead times under a periodic review policy. The window fill rate is the probability that a random customer gets serviced within a predefined time window. It is an extension of the traditional fill rate that takes into account that customers generally tolerate a certain waiting time. We analyze the impact of the reorder-cycle on the window fill rate and present an inventory model that finds the optimal spares allocation and the optimal reorder cycle with the objective of minimizing the total costs. Furthermore, we present a numerical example and find that the number of spares increase almost linearly when the reorder-cycle time increases. Finally, we show how managers can find the optimal spares allocation and the optimal reorder-cycle time and show how they can estimate the cost of changing the required window fill rate and the reorder-cycle time.
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References
Caggiano, K., Jackson, L., Muckstadt, A., Rappold, A.: Efficient computation of time-based customer service levels in a multi-item, multi-echelon supply chain: a practical approach for inventory optimization. Eur. J. Oper. Res. 199(3), 744–749 (2009)
Dreyfuss, M., Giat, Y., Stulman, A.: An analytical approach to determine the window fill rate in a repair shop with cannibalization. Comput. Oper. Res. 98, 13–23 (2018)
Demoulin, N.T., Djelassi, S.: Customer responses to waits for online banking service delivery. Int. J. Retail Distrib. Manag. 41(6), 442–460 (2013)
Smidts, A., Pruyn, A.: How waiting affects customer satisfaction with service: the role of subjective variables. In: Proceedings of the 3rd International Research Seminar in Service Management, pp. 678–696 (1994)
Durrande-Moreau, A.: Waiting for service: ten years of empirical research. Int. J. Serv. Ind. Manag. 10(2), 171–189 (1999)
Katz, K., Larson, B., Larson, R.: Prescriptions for the waiting in line blues: entertain, enlighten and engage. Sloan Manag. Rev. Winter, 44–53 (1999)
Song, J.S.: On the order fill rate in a multi-item, base-stock inventory system. Oper. Res. 46(6), 831–845 (1998)
Dreyfuss, M., Giat, Y.: Optimal spares allocation to an exchangeable-item repair system with tolerable wait. Eur. J. Oper. Res. 261(2), 584–594 (2017)
Dreyfuss, M., Giat, Y.: Optimal allocation of spares to maximize the window fill rate in a two-echelon exchangeable-item repair system. Eur. J. Oper. Res. 270, 1053–1062 (2018)
Basten, R., van Houtum, G.: System-oriented inventory models for spare parts. Surv. Oper. Res. Manag. Sci. 19(1), 34–55 (2014)
Dreyfuss, M., Giat, Y.: Optimizing spare battery allocation in an electric vehicle battery swapping system. In: 6th International Conference on Operations Research and Enterprise Systems, Porto, Portugal, pp. 38–46 (2017)
Dreyfuss, M., Giat, Y.: The window fill rate with nonzero assembly times: application to a battery swapping network. In: Parlier, G., Liberatore, F., Demange, M. (eds.) Operations Research and Enterprise Systems, ICORES, 2017. Communications in Computer and Information Science, vol. 884, pp. 42–62. Springer, Cham (2018)
Dreyfuss, M., Giat, Y.: Allocating spares to maximize the window fill rate in a periodic review inventory system. J. Prod. Econ. (Forthcoming)
van der Heijden, M.C., De Kok, A.G.: Customer waiting times in an (R, S) inventory system with compound Poisson demand. Z. Oper. Res. 36(4), 315–332 (1992)
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Dreyfuss, M., Giat, Y. (2020). The Optimal Reorder Policy in an Inventory System with Spares and Periodic Review. In: Neufeld, J.S., Buscher, U., Lasch, R., Möst, D., Schönberger, J. (eds) Operations Research Proceedings 2019. Operations Research Proceedings. Springer, Cham. https://doi.org/10.1007/978-3-030-48439-2_83
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