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A dynamic pricing strategy for a 3PL provider with heterogeneous customers

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  • Zhang, Jian
  • Nault, Barrie R.
  • Tu, Yiliu

Abstract

We study the pricing problem for a third-party-logistics (3PL) provider that provides ware-housing and transportation services. When customers arrive at the 3PL provider, they specify the delivery dates for their freight, and before the specified delivery dates, their freight is stocked in the 3PL provider׳s warehouse. We propose a dynamic pricing strategy (DPS) and develop a stochastic-nonlinear-programming (SNLP) model which computes the optimal freight rates for different delivery dates incorporating the 3PL provider׳s current holding cost and available transportation capacity for each route. As customers are heterogeneous in their valuations and price sensitivities for delivery dates, and the distributions of the customers׳ delivery date preferences are unknown to the 3PL provider, we modify the standard multinomial logit (MNL) function to predict customer choices. Through a simulation experiment, we show that the proposed MNL function can be a good replacement for the mixed MNL function when the mixed MNL function is not applicable. Through simulation we also compare the proposed DPS with a static pricing strategy. We show that with our DPS both the 3PL provider and its customers are better off, and the 3PL provider has different investment incentives for increasing transportation capacity. Our results can be also applied in similar settings that feature holding costs, limited production capacity and delivery-date-sensitive customers.

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  • Zhang, Jian & Nault, Barrie R. & Tu, Yiliu, 2015. "A dynamic pricing strategy for a 3PL provider with heterogeneous customers," International Journal of Production Economics, Elsevier, vol. 169(C), pages 31-43.
    • Handle: RePEc:eee:proeco:v:169:y:2015:i:c:p:31-43
    DOI: 10.1016/j.ijpe.2015.07.017
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    as
    1. P. J. Green & A. H. Seheult, 1988. "Density Estimation for Statistics and Data Analysis," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 37(1), pages 120-121, March.
    2. Huang, Hai-Jun, 2002. "Pricing and logit-based mode choice models of a transit and highway system with elastic demand," European Journal of Operational Research, Elsevier, vol. 140(3), pages 562-570, August.
    3. Leonard Kleinrock, 1967. "Optimum Bribing for Queue Position," Operations Research, INFORMS, vol. 15(2), pages 304-318, April.
    4. Sabri Çelik & Costis Maglaras, 2008. "Dynamic Pricing and Lead-Time Quotation for a Multiclass Make-to-Order Queue," Management Science, INFORMS, vol. 54(6), pages 1132-1146, June.
    5. Zhu, Stuart X., 2015. "Integration of capacity, pricing, and lead-time decisions in a decentralized supply chain," International Journal of Production Economics, Elsevier, vol. 164(C), pages 14-23.
    6. Liming Liu & Mahmut Parlar & Stuart X. Zhu, 2007. "Pricing and Lead Time Decisions in Decentralized Supply Chains," Management Science, INFORMS, vol. 53(5), pages 713-725, May.
    7. S. Rao & E. R. Petersen, 1998. "Optimal Pricing of Priority Services," Operations Research, INFORMS, vol. 46(1), pages 46-56, February.
    8. Lingxiu Dong & Panos Kouvelis & Zhongjun Tian, 2009. "Dynamic Pricing and Inventory Control of Substitute Products," Manufacturing & Service Operations Management, INFORMS, vol. 11(2), pages 317-339, December.
    9. Nicholas G. Hall & Chris N. Potts, 2003. "Supply chain scheduling: Batching and delivery," Operations Research, INFORMS, vol. 51(4), pages 566-584, August.
    10. Erica L. Plambeck, 2004. "Optimal Leadtime Differentiation via Diffusion Approximations," Operations Research, INFORMS, vol. 52(2), pages 213-228, April.
    11. M. Ali Ülkü & James H. Bookbinder, 2012. "Modelling shipment consolidation and pricing decisions for a manufacturer-distributor," International Journal of Revenue Management, Inderscience Enterprises Ltd, vol. 6(1/2), pages 62-76.
    12. Train,Kenneth E., 2009. "Discrete Choice Methods with Simulation," Cambridge Books, Cambridge University Press, number 9780521747387.
    13. David Hensher & William Greene, 2003. "The Mixed Logit model: The state of practice," Transportation, Springer, vol. 30(2), pages 133-176, May.
    14. Peter M. Guadagni & John D. C. Little, 1983. "A Logit Model of Brand Choice Calibrated on Scanner Data," Marketing Science, INFORMS, vol. 2(3), pages 203-238.
    15. 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.
    16. Fabian Bastin & Cinzia Cirillo & Philippe L. Toint, 2010. "Estimating Nonparametric Random Utility Models with an Application to the Value of Time in Heterogeneous Populations," Transportation Science, INFORMS, vol. 44(4), pages 537-549, November.
    17. 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.
    18. Barış Ata & Tava Lennon Olsen, 2009. "Near-Optimal Dynamic Lead-Time Quotation and Scheduling Under Convex-Concave Customer Delay Costs," Operations Research, INFORMS, vol. 57(3), pages 753-768, June.
    19. Hongmin Li & Woonghee Tim Huh, 2011. "Pricing Multiple Products with the Multinomial Logit and Nested Logit Models: Concavity and Implications," Manufacturing & Service Operations Management, INFORMS, vol. 13(4), pages 549-563, October.
    20. Wallace J. Hopp & Xiaowei Xu, 2005. "Product Line Selection and Pricing with Modularity in Design," Manufacturing & Service Operations Management, INFORMS, vol. 7(3), pages 172-187, August.
    21. Xuanming Su, 2008. "Bounded Rationality in Newsvendor Models," Manufacturing & Service Operations Management, INFORMS, vol. 10(4), pages 566-589, May.
    22. Zhi-Long Chen, 2010. "Integrated Production and Outbound Distribution Scheduling: Review and Extensions," Operations Research, INFORMS, vol. 58(1), pages 130-148, February.
    23. Goker Aydin & Evan L. Porteus, 2008. "Joint Inventory and Pricing Decisions for an Assortment," Operations Research, INFORMS, vol. 56(5), pages 1247-1255, October.
    24. Jiejian Feng & Liming Liu & Xiaoming Liu, 2011. "TECHNICAL NOTE---An Optimal Policy for Joint Dynamic Price and Lead-Time Quotation," Operations Research, INFORMS, vol. 59(6), pages 1523-1527, December.
    25. Ferrer, Juan-Carlos & Mora, Hugo & Olivares, Francisco, 2010. "On pricing of multiple bundles of products and services," European Journal of Operational Research, Elsevier, vol. 206(1), pages 197-208, October.
    26. Marasco, Alessandra, 2008. "Third-party logistics: A literature review," International Journal of Production Economics, Elsevier, vol. 113(1), pages 127-147, May.
    27. Jia, Junxiu & Zhang, Jiang, 2013. "Dynamic ordering and pricing strategies in a two-tier multi-generation durable goods supply chain," International Journal of Production Economics, Elsevier, vol. 144(1), pages 135-142.
    28. Robert J. Dolan, 1978. "Incentive Mechanisms for Priority Queuing Problems," Bell Journal of Economics, The RAND Corporation, vol. 9(2), pages 421-436, Autumn.
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