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Dynamic Lead-Time Quotation for an M/M/1 Base-Stock Inventory Queue

Author

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  • Seçil Savaşaneril

    (Department of Industrial Engineering, Middle East Technical University, 06531, Ankara, Turkey)

  • Paul M. Griffin

    (Harold and Inge Marcus Department of Industrial Engineering, Pennsylvania State University, University Park, Pennsylvania 16801)

  • Pınar Keskinocak

    (School of Industrial and Systems Engineering, Georgia Institute of Technology, Atlanta, Georgia 30332)

Abstract

We study a dynamic lead-time quotation problem in a base-stock inventory system characterized by lead-time sensitive Poisson demand and exponentially distributed service times. We show that the optimal profit is unimodal in the base-stock level. We compare the base-stock system with a make-to-order (MTO) system and show that the lead-time quotes are lower in an MTO system and that increasing the base-stock level does not necessarily decrease the expected number of customers waiting. Numerical results show that when customers are less sensitive to lead-time quotes, the benefit of quoting lead times with a higher precision is significant, whereas when customers are more sensitive to lead-time quotes, the benefit of holding inventory is significant.

Suggested Citation

  • Seçil Savaşaneril & Paul M. Griffin & Pınar Keskinocak, 2010. "Dynamic Lead-Time Quotation for an M/M/1 Base-Stock Inventory Queue," Operations Research, INFORMS, vol. 58(2), pages 383-395, April.
    • Handle: RePEc:inm:oropre:v:58:y:2010:i:2:p:383-395
    DOI: 10.1287/opre.1090.0717
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    References listed on IDEAS

    as
    1. So, Kut C. & Song, Jing-Sheng, 1998. "Price, delivery time guarantees and capacity selection," European Journal of Operational Research, Elsevier, vol. 111(1), pages 28-49, November.
    2. Izak Duenyas & Wallace J. Hopp, 1995. "Quoting Customer Lead Times," Management Science, INFORMS, vol. 41(1), pages 43-57, January.
    3. Slotnick, Susan A. & Sobel, Matthew J., 2005. "Manufacturing lead-time rules: Customer retention versus tardiness costs," European Journal of Operational Research, Elsevier, vol. 163(3), pages 825-856, June.
    4. Ali Tamer Unal & Reha Uzsoy & Ali Kiran, 1997. "Rescheduling on a single machine with part-type dependent setup times and deadlines," Annals of Operations Research, Springer, vol. 70(0), pages 93-113, April.
    5. Aktaran-KalaycI, Tûba & Ayhan, Hayriye, 2009. "Sensitivity of optimal prices to system parameters in a steady-state service facility," European Journal of Operational Research, Elsevier, vol. 193(1), pages 120-128, February.
    6. ElHafsi, Mohsen, 2000. "An operational decision model for lead-time and price quotation in congested manufacturing systems," European Journal of Operational Research, Elsevier, vol. 126(2), pages 355-370, October.
    7. Dellaert, Nico P., 1991. "Due-date setting and production control," International Journal of Production Economics, Elsevier, vol. 23(1-3), pages 59-67, October.
    8. Mark L. Spearman & Rachel Q. Zhang, 1999. "Optimal Lead Time Policies," Management Science, INFORMS, vol. 45(2), pages 290-295, February.
    9. Pinar Keskinocak & R. Ravi & Sridhar Tayur, 2001. "Scheduling and Reliable Lead-Time Quotation for Orders with Availability Intervals and Lead-Time Sensitive Revenues," Management Science, INFORMS, vol. 47(2), pages 264-279, February.
    10. Izak Duenyas, 1995. "Single Facility Due Date Setting with Multiple Customer Classes," Management Science, INFORMS, vol. 41(4), pages 608-619, April.
    11. Charnsirisakskul, Kasarin & Griffin, Paul M. & Keskinocak, Pinar, 2006. "Pricing and scheduling decisions with leadtime flexibility," European Journal of Operational Research, Elsevier, vol. 171(1), pages 153-169, May.
    12. Wallace J. Hopp & Melanie Roof Sturgis, 2001. "A Simple, Robust Leadtime-Quoting Policy," Manufacturing & Service Operations Management, INFORMS, vol. 3(4), pages 321-336, April.
    13. Roman Kapuscinski & Sridhar Tayur, 2007. "Reliable Due-Date Setting in a Capacitated MTO System with Two Customer Classes," Operations Research, INFORMS, vol. 55(1), pages 56-74, February.
    14. Lode Li, 1992. "The Role of Inventory in Delivery-Time Competition," Management Science, INFORMS, vol. 38(2), pages 182-197, February.
    15. Michael H. Veatch & Lawrence M. Wein, 1994. "Optimal Control of a Two-Station Tandem Production/Inventory System," Operations Research, INFORMS, vol. 42(2), pages 337-350, April.
    16. S. Rajagopalan, 2002. "Make to Order or Make to Stock: Model and Application," Management Science, INFORMS, vol. 48(2), pages 241-256, February.
    17. Lin, Bertrand M. T., 2001. "Scheduling in the two-machine flowshop with due date constraints," International Journal of Production Economics, Elsevier, vol. 70(2), pages 117-123, March.
    18. Suresh Chand & Dilip Chhajed, 1992. "A Single Machine Model for Determination of Optimal Due Dates and Sequence," Operations Research, INFORMS, vol. 40(3), pages 596-602, June.
    19. Abraham Seidmann & Milton L. Smith, 1981. "Due Date Assignment for Production Systems," Management Science, INFORMS, vol. 27(5), pages 571-581, May.
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    Cited by:

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    2. Liu, Jian & Chen, Jian & Bo, Rui & Meng, Fanlin & Xu, Yong & Li, Peng, 2023. "Increases or discounts: Price strategies based on customers’ patience times," European Journal of Operational Research, Elsevier, vol. 305(2), pages 722-737.
    3. Sen Lin & Bo Li & Antonio Arreola-Risa & Yiwei Huang, 2023. "Optimizing a single-product production-inventory system under constant absolute risk aversion," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 31(3), pages 510-537, October.
    4. Myron Benioudakis & Apostolos Burnetas & George Ioannou, 2022. "Single versus dynamic lead-time quotations in make-to-order systems with delay-averse customers," Annals of Operations Research, Springer, vol. 318(1), pages 33-65, November.
    5. Secil Savasaneril & Ece Sayin, 2017. "Dynamic lead time quotation under responsive inventory and multiple customer classes," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 39(1), pages 95-135, January.
    6. Balcıõglu, Barış & Varol, Yãgız, 2022. "Fair and profitable: How pricing and lead-time quotation policies can help," European Journal of Operational Research, Elsevier, vol. 299(3), pages 977-986.
    7. Feifeng Zheng & E. Zhang & Yinfeng Xu & Wei-Chiang Hong, 2014. "Competitive analysis for make-to-order scheduling with reliable lead time quotation," Journal of Combinatorial Optimization, Springer, vol. 27(1), pages 182-198, January.
    8. A. Baykal Hafızoğlu & Esma S. Gel & Pınar Keskinocak, 2016. "Price and Lead Time Quotation for Contract and Spot Customers," Operations Research, INFORMS, vol. 64(2), pages 406-415, April.
    9. A. Baykal Hafızoğlu & Esma S. Gel & Pınar Keskinocak, 2013. "Expected Tardiness Computations in Multiclass Priority M / M / c Queues," INFORMS Journal on Computing, INFORMS, vol. 25(2), pages 364-376, May.

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