Abstract
The repair kit problem is the problem of managing the spare parts inventory of a field service technician. Contrary to most previous contributions we acknowledge that fixed costs per delivery to the technician make up an important share of the total field repair costs. Thus, we treat the replenishment frequency as a decision variable and suggest to manage the content of the repair kit using individual (R, s, S)-policies for each spare part with common review periods R for all parts sourced from the same supplier. We derive a closed-form expression for the job-fill-rate service level and suggest a heuristic to determine the length of the review period(s) as well as the reorder and order-up-to-levels for spare parts carried in the repair kit. Using a numerical experiment we show that lowering the replenishment frequency can lead to a substantial cost reduction. That is because delivery cost reductions outweigh the costs for additional safety stock.
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References
Heeremans, D., Gelders, L.: Multiple period repair kit problem with a job completion criterion: a case study. Eur. J. Oper. Res. 81, 239–248 (1995)
Teunter, R.H.: The multiple-job repair kit problem. Eur. J. Oper. Res. 175, 1103–1116 (2006)
Bijvank, M., Koole, G., Vis, I.F.A.: Optimising a general repair kit problem with a service constraint. Eur. J. Oper. Res. 204, 76–85 (2010)
Prak, D., Saccani, N., Syntetos, A., Teunter, R., Visintin, F.: The repair kit problem with positive replenishment lead times and fixed ordering costs. Eur. J. Oper. Res. 261, 893–902 (2017)
Saccani, N., Visintin, F., Mansini, R., Colombo, M.: Improving spare parts management for field services: a model and a case study for the repair kit problem. IMA J. Manage. Math. 28, 185–204 (2016)
Wildeman, R.E., Frenk, J.B.G., Dekker, R.: An efficient optimal solution method for the joint replenishment problem. Eur. J. Oper. Res. 99, 433–44 (1997)
Viswanathan, S.: Note. Periodic review (s, S) policies for joint replenishment inventory systems. Manage. Sci. 43(10), 1447–1454 (1997)
Khouja, M., Goyal, S.: A review of the joint replenishment problem literature: 1989–2005. Eur. J. Oper. Res. 186, 1–16 (2008)
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Rippe, C. (2022). The Repair Kit Problem with Fixed Delivery Costs. In: Trautmann, N., Gnägi, M. (eds) Operations Research Proceedings 2021. OR 2021. Lecture Notes in Operations Research. Springer, Cham. https://doi.org/10.1007/978-3-031-08623-6_56
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DOI: https://doi.org/10.1007/978-3-031-08623-6_56
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