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Time-based service constraints for inventory systems with commitment lead time

Author

Listed:
  • Taher Ahmadi

    (Nyenrode Business University)

  • Zümbül Atan

    (Eindhoven University of Technology)

  • Ton Kok

    (Eindhoven University of Technology)

  • Ivo Adan

    (Eindhoven University of Technology)

Abstract

We consider a firm which targets a certain level of customer responsiveness with a minimum operational cost. The firm employs a preorder strategy, in which customers place their orders before their actual need based on a predefined time window called commitment lead time and, in turn, they receive a bonus. The firm aims to determine the optimal control policy, which consists of the optimal commitment lead time and the optimal base-stock level, such that the total operational cost is minimized subject to a time-based service level target. We formulate two time-based service criteria to measure the firm’s responsiveness in terms of average customer waiting time and individual customer waiting time in two constraint optimization models called ACO and CCO, respectively. We derive the exact probability distribution of customer waiting time, and we propose exact and heuristic optimization algorithms to solve the ACO and CCO models. We show that the commitment lead time not only increases the firm’s responsiveness level but also decreases the customers’ maximum waiting time. We find that when the firm targets a high level of responsiveness, the value of commitment lead time is more highlighted. We study multiple interesting extensions with two customer classes, random replenishment lead times and a combined model with two time-based service level targets.

Suggested Citation

  • Taher Ahmadi & Zümbül Atan & Ton Kok & Ivo Adan, 2020. "Time-based service constraints for inventory systems with commitment lead time," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 42(2), pages 355-395, June.
    • Handle: RePEc:spr:orspec:v:42:y:2020:i:2:d:10.1007_s00291-020-00590-0
    DOI: 10.1007/s00291-020-00590-0
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    References listed on IDEAS

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    1. Tempelmeier, Horst, 1985. "Inventory control using a service constraint on the expected customer order waiting time," European Journal of Operational Research, Elsevier, vol. 19(3), pages 313-323, March.
    2. Tamer Boyacı & Guillermo Gallego, 2002. "Managing waiting times of backordered demands in single‐stage (Q, r) inventory systems," Naval Research Logistics (NRL), John Wiley & Sons, vol. 49(6), pages 557-573, September.
    3. Iida, Tetsuo, 2015. "Benefits of leadtime information and of its combination with demand forecast information," International Journal of Production Economics, Elsevier, vol. 163(C), pages 146-156.
    4. G. J. Van Houtum & W. H. M. Zijm, 2000. "On the relationship between cost and service models for general inventory systems," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 54(2), pages 127-147, July.
    5. Weixin Shang & Liming Liu, 2011. "Promised Delivery Time and Capacity Games in Time-Based Competition," Management Science, INFORMS, vol. 57(3), pages 599-610, March.
    6. Kevin McCardle & Kumar Rajaram & Christopher S. Tang, 2004. "Advance Booking Discount Programs Under Retail Competition," Management Science, INFORMS, vol. 50(5), pages 701-708, May.
    7. W. Karl Kruse, 1980. "Waiting Time in an S − 1, S Inventory System with Arbitrarily Distributed Lead Times," Operations Research, INFORMS, vol. 28(2), pages 348-352, April.
    8. Fikri Karaesmen & George Liberopoulos & Yves Dallery, 2004. "The Value of Advance Demand Information in Production/Inventory Systems," Annals of Operations Research, Springer, vol. 126(1), pages 135-157, February.
    9. Kiesmuller, G.P. & de Kok, A.G., 2006. "The customer waiting time in an (R, s, Q) inventory system," International Journal of Production Economics, Elsevier, vol. 104(2), pages 354-364, December.
    10. W. Karl Kruse, 1981. "Technical Note—Waiting Time in a Continuous Review ( s , S ) Inventory System with Constant Lead Times," Operations Research, INFORMS, vol. 29(1), pages 202-207, February.
    11. Christopher S. Tang & Kumar Rajaram & Ayd{i}n Alptekinou{g}lu & Jihong Ou, 2004. "The Benefits of Advance Booking Discount Programs: Model and Analysis," Management Science, INFORMS, vol. 50(4), pages 465-478, April.
    12. Thonemann, U. W., 2002. "Improving supply-chain performance by sharing advance demand information," European Journal of Operational Research, Elsevier, vol. 142(1), pages 81-107, October.
    13. Felix Papier, 2016. "Supply Allocation Under Sequential Advance Demand Information," Operations Research, INFORMS, vol. 64(2), pages 341-361, April.
    14. Liberopoulos, George, 2008. "On the tradeoff between optimal order-base-stock levels and demand lead-times," European Journal of Operational Research, Elsevier, vol. 190(1), pages 136-155, October.
    15. Felix Papier & Ulrich W. Thonemann, 2010. "Capacity Rationing in Stochastic Rental Systems with Advance Demand Information," Operations Research, INFORMS, vol. 58(2), pages 274-288, April.
    16. Tong Wang & Beril L. Toktay, 2008. "Inventory Management with Advance Demand Information and Flexible Delivery," Management Science, INFORMS, vol. 54(4), pages 716-732, April.
    17. Cuihong Li & Fuqiang Zhang, 2013. "Advance Demand Information, Price Discrimination, and Preorder Strategies," Manufacturing & Service Operations Management, INFORMS, vol. 15(1), pages 57-71, September.
    18. Arda, Yasemin & Hennet, Jean-Claude, 2006. "Inventory control in a multi-supplier system," International Journal of Production Economics, Elsevier, vol. 104(2), pages 249-259, December.
    19. 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.
    20. Rema Hariharan & Paul Zipkin, 1995. "Customer-Order Information, Leadtimes, and Inventories," Management Science, INFORMS, vol. 41(10), pages 1599-1607, October.
    21. Zümbül Atan & Lawrence V. Snyder, 2014. "EOQ Models with Supply Disruptions," International Series in Operations Research & Management Science, in: Tsan-Ming Choi (ed.), Handbook of EOQ Inventory Problems, edition 127, pages 43-55, Springer.
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