IDEAS home Printed from https://ideas.repec.org/a/eee/transe/v169y2023ics1366554522003635.html
   My bibliography  Save this article

Shipping before order making: Optimal shipping quantity and pricing decisions under uncertain demand

Author

Listed:
  • Xu, Xianhao
  • Chen, Cheng
  • Zou, Bipan
  • Wang, Hongwei
  • Li, Zhiwen

Abstract

The innovative logistics mode of shipping before order making has been used by several leading online retailers, due to its advantage on enhancing consumer delivered value and promoting customer demand. This paper investigates the optimal shipping quantity and product pricing strategy of the online retailer that uses this logistics mode under a stochastic demand, which is shipping-dependent and price-dependent. First, we build an extended newsvendor model and explore the closed-form solutions of the optimal shipping quantity and optimal product pricing strategies under certain assumptions on the demand function. Then, we compare the differences of the optimal strategies under different risk attitudes and analyze the impact of key parameters on the optimal strategies. At last, we extend the basic model by considering a general demand function. We conduct numerical experiments to verify the theoretical conclusions and analyze the effect of parameters on online retailers’ optimal strategies and profits. The results show that the optimal shipping quantity first increases and then decreases with the increase of the price. This suggests that the online retailers should avoid blind price war under this logistics mode. The risk aversion degree slightly affects the optimal price, but significantly affects the optimal shipping quantity. Moreover, we find that parameters such as disposal cost and sensitivity of demand to shipping in advance significantly affect the optimal strategies of online retailers.

Suggested Citation

  • Xu, Xianhao & Chen, Cheng & Zou, Bipan & Wang, Hongwei & Li, Zhiwen, 2023. "Shipping before order making: Optimal shipping quantity and pricing decisions under uncertain demand," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 169(C).
  • Handle: RePEc:eee:transe:v:169:y:2023:i:c:s1366554522003635
    DOI: 10.1016/j.tre.2022.102986
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S1366554522003635
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.tre.2022.102986?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Jinpyo Lee, 2019. "Impact of Loss-Aversion on a Financially-Constrained Supply Chain," Sustainability, MDPI, vol. 11(9), pages 1-19, May.
    2. Rongchuan He & Ye Lu, 2021. "A Robust Price‐Setting Newsvendor Problem," Production and Operations Management, Production and Operations Management Society, vol. 30(1), pages 276-292, January.
    3. Hu, Benyong & Qu, Jiali & Meng, Chao, 2018. "Supply chain coordination under option contracts with joint pricing under price-dependent demand," International Journal of Production Economics, Elsevier, vol. 205(C), pages 74-86.
    4. Lin, Jun & Ng, Tsan Sheng, 2011. "Robust multi-market newsvendor models with interval demand data," European Journal of Operational Research, Elsevier, vol. 212(2), pages 361-373, July.
    5. Zhang, Qinhong & Zhang, Dali & Segerstedt, Anders & Luo, Jianwen, 2018. "Optimal ordering and pricing decisions for a company issuing product-specific gift cards," Omega, Elsevier, vol. 74(C), pages 92-102.
    6. Youhua (Frank) Chen & Minghui Xu & Zhe George Zhang, 2009. "Technical Note---A Risk-Averse Newsvendor Model Under the CVaR Criterion," Operations Research, INFORMS, vol. 57(4), pages 1040-1044, August.
    7. Leon Yang Chu & Guang Li & Paat Rusmevichientong, 2018. "Optimal Pricing and Inventory Planning with Charitable Donations," Manufacturing & Service Operations Management, INFORMS, vol. 20(4), pages 687-703, October.
    8. Zhang, Guoqing & Shi, Jianmai & Chaudhry, Sohail S. & Li, Xindan, 2019. "Multi-period multi-product acquisition planning with uncertain demands and supplier quantity discounts," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 132(C), pages 117-140.
    9. Gérard P. Cachon & A. Gürhan Kök, 2007. "Implementation of the Newsvendor Model with Clearance Pricing: How to (and How Not to) Estimate a Salvage Value," Manufacturing & Service Operations Management, INFORMS, vol. 9(3), pages 276-290, October.
    10. Mitra, Subrata, 2018. "Newsvendor problem with clearance pricing," European Journal of Operational Research, Elsevier, vol. 268(1), pages 193-202.
    11. Serel, Doğan A., 2017. "A single-period stocking and pricing problem involving stochastic emergency supply," International Journal of Production Economics, Elsevier, vol. 185(C), pages 180-195.
    12. Jain, Nikunj Kumar & Gajjar, Hasmukh & Shah, Bhavin J., 2021. "Electronic logistics service quality and repurchase intention in e-tailing: Catalytic role of shopping satisfaction, payment options, gender and returning experience," Journal of Retailing and Consumer Services, Elsevier, vol. 59(C).
    13. Ma, Shouyu & Jemai, Zied & Bai, Qingguo, 2022. "Optimal pricing and ordering decisions for a retailer using multiple discounts," European Journal of Operational Research, Elsevier, vol. 299(3), pages 1177-1192.
    14. Hu, Xiangling & Su, Ping, 2018. "The newsvendor's joint procurement and pricing problem under price-sensitive stochastic demand and purchase price uncertainty," Omega, Elsevier, vol. 79(C), pages 81-90.
    15. Anssi Käki & Juuso Liesiö & Ahti Salo & Srinivas Talluri, 2015. "Newsvendor decisions under supply uncertainty," International Journal of Production Research, Taylor & Francis Journals, vol. 53(5), pages 1544-1560, March.
    16. Xu, Minghui & Lu, Ye, 2013. "The effect of supply uncertainty in price-setting newsvendor models," European Journal of Operational Research, Elsevier, vol. 227(3), pages 423-433.
    17. Golmohammadi, Amirmohsen & Hassini, Elkafi, 2019. "Capacity, pricing and production under supply and demand uncertainties with an application in agriculture," European Journal of Operational Research, Elsevier, vol. 275(3), pages 1037-1049.
    18. Kirshner, Samuel Nathan & Shao, Lusheng, 2019. "The overconfident and optimistic price-setting newsvendor," European Journal of Operational Research, Elsevier, vol. 277(1), pages 166-173.
    19. Serel, Doğan A., 2015. "Production and pricing policies in dual sourcing supply chains," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 76(C), pages 1-12.
    20. Qi Feng & Sirong Luo & J. George Shanthikumar, 2020. "Integrating Dynamic Pricing with Inventory Decisions Under Lost Sales," Management Science, INFORMS, vol. 66(5), pages 2232-2247, May.
    21. Li, Xiang & Qi, Xiangtong & Li, Yongjian, 2021. "On sales effort and pricing decisions under alternative risk criteria," European Journal of Operational Research, Elsevier, vol. 293(2), pages 603-614.
    22. Canyakmaz, Caner & Özekici, Süleyman & Karaesmen, Fikri, 2022. "A newsvendor problem with markup pricing in the presence of within-period price fluctuations," European Journal of Operational Research, Elsevier, vol. 301(1), pages 153-162.
    23. Maxime C. Cohen & Georgia Perakis & Charles Thraves, 2022. "Consumer Surplus Under Demand Uncertainty," Production and Operations Management, Production and Operations Management Society, vol. 31(2), pages 478-494, February.
    24. Xiuyan Ma, 2019. "Pricing to the Scenario: Price-Setting Newsvendor Models for Innovative Products," Mathematics, MDPI, vol. 7(9), pages 1-15, September.
    25. Wang, Daao & Dimitrov, Stanko & Jian, Lirong, 2020. "Optimal inventory decisions for a risk-averse retailer when offering layaway," European Journal of Operational Research, Elsevier, vol. 284(1), pages 108-120.
    26. Yanan Song & Xiaobo Zhao, 2017. "A newsvendor problem with boundedly rational strategic customers," International Journal of Production Research, Taylor & Francis Journals, vol. 55(1), pages 228-243, January.
    27. T. M. Whitin, 1955. "Inventory Control and Price Theory," Management Science, INFORMS, vol. 2(1), pages 61-68, October.
    28. Chong Wang & Xu Chen, 2018. "Joint order and pricing decisions for fresh produce with put option contracts," Journal of the Operational Research Society, Taylor & Francis Journals, vol. 69(3), pages 474-484, March.
    29. Schulte, Benedikt & Sachs, Anna-Lena, 2020. "The price-setting newsvendor with Poisson demand," European Journal of Operational Research, Elsevier, vol. 283(1), pages 125-137.
    30. Boxiao Chen & Xiuli Chao & Hyun-Soo Ahn, 2019. "Coordinating Pricing and Inventory Replenishment with Nonparametric Demand Learning," Operations Research, INFORMS, vol. 67(4), pages 1035-1052, July.
    31. Xuan Zhao & Derek R. Atkins, 2008. "Newsvendors Under Simultaneous Price and Inventory Competition," Manufacturing & Service Operations Management, INFORMS, vol. 10(3), pages 539-546, September.
    32. Hou, Xiyang & Li, Jianbin & Liu, Zhixin & Guo, Yongjiang, 2022. "Pareto and Kaldor–Hicks improvements with revenue-sharing and wholesale-price contracts under manufacturer rebate policy," European Journal of Operational Research, Elsevier, vol. 298(1), pages 152-168.
    33. Mehran Ullah & Irfanullah Khan & Biswajit Sarkar, 2019. "Dynamic Pricing in a Multi-Period Newsvendor Under Stochastic Price-Dependent Demand," Mathematics, MDPI, vol. 7(6), pages 1-15, June.
    34. Syed Asif Raza, 2020. "Price Differentiation and Inventory Decisions in a Socially Responsible Dual-Channel Supply Chain with Partial Information Stochastic Demand and Cannibalization," Sustainability, MDPI, vol. 12(22), pages 1-42, November.
    35. Liu, Chao & Chen, Weidong, 2019. "Decision making in green supply chains under the impact of the stochastic and multiple-variable dependent reference point," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 128(C), pages 443-469.
    36. Dai, Jiansheng & Meng, Weidong, 2015. "A risk-averse newsvendor model under marketing-dependency and price-dependency," International Journal of Production Economics, Elsevier, vol. 160(C), pages 220-229.
    37. Bai, Tian & Wu, Meng & Zhu, Stuart X., 2019. "Pricing and ordering by a loss averse newsvendor with reference dependence," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 131(C), pages 343-365.
    38. Gregory D. DeYong, 2020. "The price-setting newsvendor: review and extensions," International Journal of Production Research, Taylor & Francis Journals, vol. 58(6), pages 1776-1804, March.
    39. Anantaram Balakrishnan & Michael S. Pangburn & Euthemia Stavrulaki, 2008. "Integrating the Promotional and Service Roles of Retail Inventories," Manufacturing & Service Operations Management, INFORMS, vol. 10(2), pages 218-235, July.
    40. Madhukar Nagare & Pankaj Dutta & Pravin Suryawanshi, 2020. "Optimal procurement and discount pricing for single-period non-instantaneous deteriorating products with promotional efforts," Operational Research, Springer, vol. 20(1), pages 89-117, March.
    41. Urvashi Tandon & Ravi Kiran & Ash N. Sah, 2017. "Customer Satisfaction as Mediator Between Website Service Quality and Repurchase Intention: An Emerging Economy Case," Service Science, INFORMS, vol. 9(2), pages 106-120, June.
    42. Mingyang Zhang & Xufeng Yang & Taichiu Edwin Cheng & Chen Chang, 2022. "Inventory Management of Perishable Goods with Overconfident Retailers," Mathematics, MDPI, vol. 10(10), pages 1-14, May.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Cao, Erbao & Tang, Jing, 2024. "Managing regretful newsvendors and supply chain performance through target-setting," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 183(C).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Milena Bieniek, 2021. "Bartering: Price-Setting Newsvendor Problem with Barter Exchange," Sustainability, MDPI, vol. 13(12), pages 1-22, June.
    2. Wang, Daao & Dimitrov, Stanko & Jian, Lirong, 2020. "Optimal inventory decisions for a risk-averse retailer when offering layaway," European Journal of Operational Research, Elsevier, vol. 284(1), pages 108-120.
    3. Serel, Doğan A., 2017. "A single-period stocking and pricing problem involving stochastic emergency supply," International Journal of Production Economics, Elsevier, vol. 185(C), pages 180-195.
    4. Bieniek, Milena, 2021. "The ubiquitous nature of inventory: Vendor Managed Consignment Inventory in adverse market conditions," European Journal of Operational Research, Elsevier, vol. 291(2), pages 411-420.
    5. Bai, Tian & Wu, Meng & Zhu, Stuart X., 2019. "Pricing and ordering by a loss averse newsvendor with reference dependence," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 131(C), pages 343-365.
    6. Svoboda, Josef & Minner, Stefan & Yao, Man, 2021. "Typology and literature review on multiple supplier inventory control models," European Journal of Operational Research, Elsevier, vol. 293(1), pages 1-23.
    7. Georgia Perakis & Melvyn Sim & Qinshen Tang & Peng Xiong, 2023. "Robust Pricing and Production with Information Partitioning and Adaptation," Management Science, INFORMS, vol. 69(3), pages 1398-1419, March.
    8. Hanzhang Qin & David Simchi-Levi & Li Wang, 2022. "Data-Driven Approximation Schemes for Joint Pricing and Inventory Control Models," Management Science, INFORMS, vol. 68(9), pages 6591-6609, September.
    9. Mandal, Prasenjit & Kaul, Rupali & Jain, Tarun, 2018. "Stocking and pricing decisions under endogenous demand and reference point effects," European Journal of Operational Research, Elsevier, vol. 264(1), pages 181-199.
    10. Datta, Alotosh & Sarkar, Biswajit & Dey, Bikash Koli & Sangal, Isha & Yang, Liu & Fan, Shu-Kai S. & Sardar, Suman Kalyan & Thangavelu, Lakshmi, 2024. "The impact of sales effort on a dual-channel dynamical system under a price-sensitive stochastic demand," Journal of Retailing and Consumer Services, Elsevier, vol. 76(C).
    11. Wensi Zhang & Jinlin Li & Ran Zhang & Yahong Chen, 2017. "Impact of Emergency Order in Price-Dependent Newsvendor Problems," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 34(02), pages 1-20, April.
    12. Mitra, Subrata, 2018. "Newsvendor problem with clearance pricing," European Journal of Operational Research, Elsevier, vol. 268(1), pages 193-202.
    13. Hua, Guowei & Zhang, Yi & Cheng, T.C.E. & Wang, Shouyang & Zhang, Juliang, 2020. "The newsvendor problem with barter exchange," Omega, Elsevier, vol. 92(C).
    14. Wang, Ruopeng & Wang, Jinting, 2018. "Procurement strategies with quantity-oriented reference point and loss aversion," Omega, Elsevier, vol. 80(C), pages 1-11.
    15. Murray, Chase C. & Gosavi, Abhijit & Talukdar, Debabrata, 2012. "The multi-product price-setting newsvendor with resource capacity constraints," International Journal of Production Economics, Elsevier, vol. 138(1), pages 148-158.
    16. Chang, Shuhua & Li, Jiajing & Sethi, Suresh P. & Wang, Xinyu, 2024. "Risk hedging for VaR-constrained newsvendors," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 181(C).
    17. Ma, Shouyu & Jemai, Zied & Bai, Qingguo, 2022. "Optimal pricing and ordering decisions for a retailer using multiple discounts," European Journal of Operational Research, Elsevier, vol. 299(3), pages 1177-1192.
    18. He, Haonan & Wang, Shanyong, 2019. "Cost-benefit associations in consumer inventory problem with uncertain benefit," Journal of Retailing and Consumer Services, Elsevier, vol. 51(C), pages 271-284.
    19. Transchel, Sandra, 2017. "Inventory management under price-based and stockout-based substitution," European Journal of Operational Research, Elsevier, vol. 262(3), pages 996-1008.
    20. Heng Du & Tiaojun Xiao, 2019. "Pricing Strategies for Competing Adaptive Retailers Facing Complex Consumer Behavior: Agent-based Model," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 18(06), pages 1909-1939, November.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:transe:v:169:y:2023:i:c:s1366554522003635. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/wps/find/journaldescription.cws_home/600244/description#description .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.