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Optimal spares allocation to an exchangeable-item repair system with tolerable wait

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  • Dreyfuss, Michael
  • Giat, Yahel

Abstract

In a multi-location, exchangeable-item repair system with stochastic demand, the expected waiting time and the fill rate measures are oftentimes used as the optimization criteria for the spares allocation problem. These measures, however, do not take into account that customers will tolerate a reasonable delay and therefore, a firm does not incur reputation costs if customers wait less than their tolerable wait. Accordingly, we generalize the expected waiting time and fill rate measures to reflect customer patience. These generalized measures are termed the truncated waiting time and the window fill rate, respectively. We develop efficient algorithms to solve the problem for each of the criteria and demonstrate how incorporating customer patience provides considerable savings and profoundly affects the optimal spares allocation.

Suggested Citation

  • Dreyfuss, Michael & Giat, Yahel, 2017. "Optimal spares allocation to an exchangeable-item repair system with tolerable wait," European Journal of Operational Research, Elsevier, vol. 261(2), pages 584-594.
    • Handle: RePEc:eee:ejores:v:261:y:2017:i:2:p:584-594
    DOI: 10.1016/j.ejor.2017.02.031
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    1. Srivastava, Vaibhav & Bullo, Francesco, 2014. "Knapsack problems with sigmoid utilities: Approximation algorithms via hybrid optimization," European Journal of Operational Research, Elsevier, vol. 236(2), pages 488-498.
    2. Jiao, Hong-Wei & Liu, San-Yang, 2015. "A practicable branch and bound algorithm for sum of linear ratios problem," European Journal of Operational Research, Elsevier, vol. 243(3), pages 723-730.
    3. Paul H. Zipkin, 1980. "Simple Ranking Methods for Allocation of One Resource," Management Science, INFORMS, vol. 26(1), pages 34-43, January.
    4. Jing-Sheng Song, 1998. "On the Order Fill Rate in a Multi-Item, Base-Stock Inventory System," Operations Research, INFORMS, vol. 46(6), pages 831-845, December.
    5. Kathryn E. Caggiano & Peter L. Jackson & John A. Muckstadt & James A. Rappold, 2007. "Optimizing Service Parts Inventory in a Multiechelon, Multi-Item Supply Chain with Time-Based Customer Service-Level Agreements," Operations Research, INFORMS, vol. 55(2), pages 303-318, April.
    6. Kutanoglu, Erhan & Lohiya, Divi, 2008. "Integrated inventory and transportation mode selection: A service parts logistics system," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 44(5), pages 665-683, September.
    7. Tsai, Shing Chih & Zheng, Ya-Xin, 2013. "A simulation optimization approach for a two-echelon inventory system with service level constraints," European Journal of Operational Research, Elsevier, vol. 229(2), pages 364-374.
    8. Jing-Sheng Song & David D. Yao, 2002. "Performance Analysis and Optimization of Assemble-to-Order Systems with Random Lead Times," Operations Research, INFORMS, vol. 50(5), pages 889-903, October.
    9. Craig C. Sherbrooke, 1968. "Metric: A Multi-Echelon Technique for Recoverable Item Control," Operations Research, INFORMS, vol. 16(1), pages 122-141, February.
    10. van der Heijden, M.C. & Alvarez, E.M. & Schutten, J.M.J., 2013. "Inventory reduction in spare part networks by selective throughput time reduction," International Journal of Production Economics, Elsevier, vol. 143(2), pages 509-517.
    11. Basten, R.J.I. & van der Heijden, M.C. & Schutten, J.M.J., 2012. "Joint optimization of level of repair analysis and spare parts stocks," European Journal of Operational Research, Elsevier, vol. 222(3), pages 474-483.
    12. 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.
    13. M. Berg & M. J. M. Posner, 1990. "Customer Delay in M/G/∞ Repair Systems with Spares," Operations Research, INFORMS, vol. 38(2), pages 344-348, April.
    14. Ghaddar, Bissan & Sakr, Nizar & Asiedu, Yaw, 2016. "Spare parts stocking analysis using genetic programming," European Journal of Operational Research, Elsevier, vol. 252(1), pages 136-144.
    15. Caggiano, Kathryn E. & Jackson, Peter L. & Muckstadt, John A. & Rappold, James A., 2009. "Efficient computation of time-based customer service levels in a multi-item, multi-echelon supply chain: A practical approach for inventory optimization," European Journal of Operational Research, Elsevier, vol. 199(3), pages 744-749, December.
    16. Wong, H. & van Houtum, G.J. & Cattrysse, D. & Oudheusden, D. Van, 2006. "Multi-item spare parts systems with lateral transshipments and waiting time constraints," European Journal of Operational Research, Elsevier, vol. 171(3), pages 1071-1093, June.
    17. Steven T. Hackman & Loren K. Platzman, 1990. "Near-Optimal Solution of Generalized Resource Allocation Problems with Large Capacities," Operations Research, INFORMS, vol. 38(5), pages 902-910, October.
    18. Larsen, C. & Thorstenson, A., 2014. "The order and volume fill rates in inventory control systems," International Journal of Production Economics, Elsevier, vol. 147(PA), pages 13-19.
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    6. Dreyfuss, Michael & Giat, Yahel, 2019. "Allocating spares to maximize the window fill rate in a periodic review inventory system," International Journal of Production Economics, Elsevier, vol. 214(C), pages 151-162.
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    9. Lotty E. Westerink‐Duijzer & Loe P. J. Schlicher & Marieke Musegaas, 2020. "Core Allocations for Cooperation Problems in Vaccination," Production and Operations Management, Production and Operations Management Society, vol. 29(7), pages 1720-1737, July.
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    14. Basten, Rob J.I. & Ryan, Jennifer K., 2019. "The value of maintenance delay flexibility for improved spare parts inventory management," European Journal of Operational Research, Elsevier, vol. 278(2), pages 646-657.

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