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Dynamic ordering and buyer selection policies when service affects future demand
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Dynamic ordering and buyer selection policies when service affects future demand

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  • Deligiannis, Michalis
  • Liberopoulos, George

Abstract

Make-to-stock suppliers selling to regular buyers must balance the cost of overstocking against the cost of buyers’ reactions when items become unavailable. In selecting which buyers to satisfy when shortages occur, they must weigh the current revenue from the satisfied buyers against the loss in future demand from the dissatisfied buyers. To provide insight and decision support on these trade-offs, we (i) develop a novel newsvendor model of a firm with heterogeneous buyers with service-dependent demand, (ii) provide properties of the optimal ordering and buyer selection decisions of the firm, and (iii) derive a novel Lagrangian Relaxation (LR)-based index policy for selecting buyers and compare it with two other LR-based index policies. The model concerns a firm that orders items for a group of repeat buyers who generate different revenues and visit the firm with different average rates that depend on whether they are satisfied or dissatisfied with their last visit. The firm selects which buyers to serve if the demand exceeds the order quantity (current capacity). For two buyers, we show that a fixed order quantity (FOQ) policy and an index buyer selection policy are optimal. For more buyers, the optimal policy involves overstocking (understocking) when the overall buyer satisfaction is high (low) and selecting buyers that maximize the current revenue (future demand) when the overall buyer satisfaction after the demand is high (low). To tackle the problem, we derive three LR-based index policies: a Lagrangian index policy that uses a uniform capacity price, a Whittle index policy that uses a discriminatory capacity price and is myopically optimal, and a novel “active-constraint” index policy that uses a discriminatory capacity price when the capacity constraint is active. Numerical results indicate that the latter policy is near-optimal and outperforms the other two and that combining it with the right FOQ policy can be very efficient.

Suggested Citation

  • Deligiannis, Michalis & Liberopoulos, George, 2023. "Dynamic ordering and buyer selection policies when service affects future demand," Omega, Elsevier, vol. 118(C).
    • Handle: RePEc:eee:jomega:v:118:y:2023:i:c:s0305048323000373
    DOI: 10.1016/j.omega.2023.102873
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    References listed on IDEAS

    as
    1. Vishal Gaur & Young-Hoon Park, 2007. "Asymmetric Consumer Learning and Inventory Competition," Management Science, INFORMS, vol. 53(2), pages 227-240, February.
    2. Gérard P. Cachon & Martin A. Lariviere, 1999. "Capacity Allocation Using Past Sales: When to Turn-and-Earn," Management Science, INFORMS, vol. 45(5), pages 685-703, May.
    3. Huang, Shupeng & Potter, Andrew & Eyers, Daniel & Li, Qinyun, 2021. "The influence of online review adoption on the profitability of capacitated supply chains," Omega, Elsevier, vol. 105(C).
    4. Choi, Sangdo & Ketzenberg, Michael, 2018. "An inverse newsvendor model to set the optimal number of customers in a capacitated environment," International Journal of Production Economics, Elsevier, vol. 196(C), pages 188-197.
    5. Dimitris Bertsimas & Adam J. Mersereau, 2007. "A Learning Approach for Interactive Marketing to a Customer Segment," Operations Research, INFORMS, vol. 55(6), pages 1120-1135, December.
    6. Sam Aflaki & Ioana Popescu, 2014. "Managing Retention in Service Relationships," Management Science, INFORMS, vol. 60(2), pages 415-433, February.
    7. Huseyin Topaloglu, 2009. "Using Lagrangian Relaxation to Compute Capacity-Dependent Bid Prices in Network Revenue Management," Operations Research, INFORMS, vol. 57(3), pages 637-649, June.
    8. Chahar, Kiran & Taaffe, Kevin, 2009. "Risk averse demand selection with all-or-nothing orders," Omega, Elsevier, vol. 37(5), pages 996-1006, October.
    9. Kevin Taaffe & Edwin Romeijn & Deepak Tirumalasetty, 2008. "A selective newsvendor approach to order management," Naval Research Logistics (NRL), John Wiley & Sons, vol. 55(8), pages 769-784, December.
    10. Scott Carr & William Lovejoy, 2000. "The Inverse Newsvendor Problem: Choosing an Optimal Demand Portfolio for Capacitated Resources," Management Science, INFORMS, vol. 46(7), pages 912-927, July.
    11. Joseph Hall & Evan Porteus, 2000. "Customer Service Competition in Capacitated Systems," Manufacturing & Service Operations Management, INFORMS, vol. 2(2), pages 144-165, November.
    12. Han, Xiaoya & Yu, Yugang & Hu, Guiping, 2019. "A dynamic newsvendor problem with goodwill-dependent demands and minimum commitment," Omega, Elsevier, vol. 89(C), pages 242-256.
    13. Deligiannis, Michalis & Liberopoulos, George & Benioudakis, Myron, 2023. "Dynamic supplier competition and cooperation for buyer loyalty on service," International Journal of Production Economics, Elsevier, vol. 255(C).
    14. Blazenko, George W. & Vandezande, Kirk, 2003. "Corporate holding of finished goods inventories," Journal of Economics and Business, Elsevier, vol. 55(3), pages 255-266.
    15. Hessam Bavafa & Charles M. Leys & Lerzan Örmeci & Sergei Savin, 2019. "Managing Portfolio of Elective Surgical Procedures: A Multidimensional Inverse Newsvendor Problem," Operations Research, INFORMS, vol. 67(6), pages 1543-1563, November.
    16. Daniel Adelman & Adam J. Mersereau, 2008. "Relaxations of Weakly Coupled Stochastic Dynamic Programs," Operations Research, INFORMS, vol. 56(3), pages 712-727, June.
    17. Gregory DeCroix & Xiaoyang Long & Jordan Tong, 2021. "How Service Quality Variability Hurts Revenue When Customers Learn: Implications for Dynamic Personalized Pricing," Operations Research, INFORMS, vol. 69(3), pages 683-708, May.
    18. Klein, Robert & Kolb, Johannes, 2015. "Maximizing customer equity subject to capacity constraints," Omega, Elsevier, vol. 55(C), pages 111-125.
    19. Tava Lennon Olsen & Rodney P. Parker, 2008. "Inventory Management Under Market Size Dynamics," Management Science, INFORMS, vol. 54(10), pages 1805-1821, October.
    20. Hong, Yili, 2013. "On computing the distribution function for the Poisson binomial distribution," Computational Statistics & Data Analysis, Elsevier, vol. 59(C), pages 41-51.
    21. Noah Gans, 2002. "Customer Loyalty and Supplier Quality Competition," Management Science, INFORMS, vol. 48(2), pages 207-221, February.
    22. Tianhu Deng & Zuo-Jun Max Shen & J. George Shanthikumar, 2014. "Statistical Learning of Service-Dependent Demand in a Multiperiod Newsvendor Setting," Operations Research, INFORMS, vol. 62(5), pages 1064-1076, October.
    23. Liberopoulos, George & Deligiannis, Michalis, 2022. "Optimal supplier inventory control policies when buyer purchase incidence is driven by past service," European Journal of Operational Research, Elsevier, vol. 300(3), pages 917-936.
    24. Daniel Adelman & Adam J. Mersereau, 2013. "Dynamic Capacity Allocation to Customers Who Remember Past Service," Management Science, INFORMS, vol. 59(3), pages 592-612, January.
    25. David B. Brown & James E. Smith, 2020. "Index Policies and Performance Bounds for Dynamic Selection Problems," Management Science, INFORMS, vol. 66(7), pages 3029-3050, July.
    26. Lauren Xiaoyuan Lu & Martin A. Lariviere, 2012. "Capacity Allocation over a Long Horizon: The Return on Turn-and-Earn," Manufacturing & Service Operations Management, INFORMS, vol. 14(1), pages 24-41, January.
    27. Philipp Afèche & Mojtaba Araghi & Opher Baron, 2017. "Customer Acquisition, Retention, and Service Access Quality: Optimal Advertising, Capacity Level, and Capacity Allocation," Manufacturing & Service Operations Management, INFORMS, vol. 19(4), pages 674-691, October.
    28. Dimitris Bertsimas & Velibor V. Mišić, 2016. "Decomposable Markov Decision Processes: A Fluid Optimization Approach," Operations Research, INFORMS, vol. 64(6), pages 1537-1555, December.
    29. Durango-Cohen, Elizabeth J. & Li, Chia Hang, 2017. "Modeling supplier capacity allocation decisions," International Journal of Production Economics, Elsevier, vol. 184(C), pages 256-272.
    30. Liming Liu & Weixin Shang & Shaohua Wu, 2007. "Dynamic Competitive Newsvendors with Service-Sensitive Demands," Manufacturing & Service Operations Management, INFORMS, vol. 9(1), pages 84-93, June.
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