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Two-stage inventory management with financing under demand updates

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  • Li, Tianyun
  • Fang, Weiguo
  • Baykal-Gürsoy, Melike

Abstract

Considered is a retailer (she) facing non-stationary stochastic demand. Demand can be fully observed and backlogged, consequently the retailer can update the initial demand information using a Bayesian approach. To alleviate the demand risk, the retailer may use a secondary opportunity to replenish through an option contract. In addition, the retailer also has access to an immediate loan if she faces capital constraints and to a risk-free investment if she has surplus funds. The paper presents a recourse approach to solve the two-stage optimization problem and derive the optimal inventory/financing policies. The results show that the option procurement policy has a two-threshold base-stock structure depending on the first procurement, demand update and also the retailer’s financial state. The initial procurement can be computed subsequently. A sufficiently large initial demand will induce the retailer to seize the secondary procurement opportunity. Finally, a series of numerical examples demonstrate the resulting policy under various inventory/financial situations. This research incorporates the financial and operational decisions into demand updates, and brings new managerial results and insights.

Suggested Citation

  • Li, Tianyun & Fang, Weiguo & Baykal-Gürsoy, Melike, 2021. "Two-stage inventory management with financing under demand updates," International Journal of Production Economics, Elsevier, vol. 232(C).
  • Handle: RePEc:eee:proeco:v:232:y:2021:i:c:s0925527320302735
    DOI: 10.1016/j.ijpe.2020.107915
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    1. Samuel Karlin, 1960. "Dynamic Inventory Policy with Varying Stochastic Demands," Management Science, INFORMS, vol. 6(3), pages 231-258, April.
    2. Joseph M. Milner & Panos Kouvelis, 2002. "On the Complementary Value of Accurate Demand Information and Production and Supplier Flexibility," Manufacturing & Service Operations Management, INFORMS, vol. 4(2), pages 99-113, December.
    3. Chen, Xu & Hao, Gang & Li, Ling, 2014. "Channel coordination with a loss-averse retailer and option contracts," International Journal of Production Economics, Elsevier, vol. 150(C), pages 52-57.
    4. Merton H. Miller, 1989. "The Modigliani‐Miller Propositions After Thirty Years," Journal of Applied Corporate Finance, Morgan Stanley, vol. 2(1), pages 6-18, March.
    5. Michael N. Katehakis & Benjamin Melamed & Jim (Junmin) Shi, 2016. "Cash-Flow Based Dynamic Inventory Management," Production and Operations Management, Production and Operations Management Society, vol. 25(9), pages 1558-1575, September.
    6. Herbert E. Scarf, 1960. "Some remarks on bayes solutions to the inventory problem," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 7(4), pages 591-596, December.
    7. Vafa Arani, Hamed & Rabbani, Masoud & Rafiei, Hamed, 2016. "A revenue-sharing option contract toward coordination of supply chains," International Journal of Production Economics, Elsevier, vol. 178(C), pages 42-56.
    8. Anyan Qi & Hyun-Soo Ahn & Amitabh Sinha, 2017. "Capacity Investment with Demand Learning," Operations Research, INFORMS, vol. 65(1), pages 145-164, February.
    9. David J. Braden & Marshall Freimer, 1991. "Informational Dynamics of Censored Observations," Management Science, INFORMS, vol. 37(11), pages 1390-1404, November.
    10. Xiangwen Lu & Jing-Sheng Song & Kaijie Zhu, 2008. "Analysis of Perishable-Inventory Systems with Censored Demand Data," Operations Research, INFORMS, vol. 56(4), pages 1034-1038, August.
    11. Martin A. Lariviere & Evan L. Porteus, 1999. "Stalking Information: Bayesian Inventory Management with Unobserved Lost Sales," Management Science, INFORMS, vol. 45(3), pages 346-363, March.
    12. Hua, Shengya & Liu, Jingchen & Cheng, T.C.E. & Zhai, Xin, 2019. "Financing and ordering strategies for a supply chain under the option contract," International Journal of Production Economics, Elsevier, vol. 208(C), pages 100-121.
    13. Li, Xiang & Li, Yongjian & Cai, Xiaoqiang, 2011. "On a multi-period supply chain system with supplementary order opportunity," European Journal of Operational Research, Elsevier, vol. 209(3), pages 273-284, March.
    14. Agrawal, Narendra & Smith, Stephen A., 2013. "Optimal inventory management for a retail chain with diverse store demands," European Journal of Operational Research, Elsevier, vol. 225(3), pages 393-403.
    15. Dawn Barnes-Schuster & Yehuda Bassok & Ravi Anupindi, 2002. "Coordination and Flexibility in Supply Contracts with Options," Manufacturing & Service Operations Management, INFORMS, vol. 4(3), pages 171-207, May.
    16. Katy S. Azoury & Julia Miyaoka, 2009. "Optimal Policies and Approximations for a Bayesian Linear Regression Inventory Model," Management Science, INFORMS, vol. 55(5), pages 813-826, May.
    17. Joseph M. Milner & Panos Kouvelis, 2005. "Order Quantity and Timing Flexibility in Supply Chains: The Role of Demand Characteristics," Management Science, INFORMS, vol. 51(6), pages 970-985, June.
    18. Zhe (Frank) Wang & Adam J. Mersereau, 2017. "Bayesian Inventory Management with Potential Change‐Points in Demand," Production and Operations Management, Production and Operations Management Society, vol. 26(2), pages 341-359, February.
    19. Wang, Xihui & Li, Feng & Liang, Liang & Huang, Zhimin & Ashley, Allan, 2015. "Pre-purchasing with option contract and coordination in a relief supply chain," International Journal of Production Economics, Elsevier, vol. 167(C), pages 170-176.
    20. Donald L. Iglehart, 1964. "The Dynamic Inventory Problem with Unknown Demand Distribution," Management Science, INFORMS, vol. 10(3), pages 429-440, April.
    21. Xiting Gong & Xiuli Chao & David Simchi‐Levi, 2014. "Dynamic inventory control with limited capital and short‐term financing," Naval Research Logistics (NRL), John Wiley & Sons, vol. 61(3), pages 184-201, April.
    22. Jian Li & Suresh Chand & Maqbool Dada & Shailendra Mehta, 2009. "Managing Inventory Over a Short Season: Models with Two Procurement Opportunities," Manufacturing & Service Operations Management, INFORMS, vol. 11(1), pages 174-184, April.
    23. John Buzacott & Houmin Yan & Hanqin Zhang, 2011. "Risk analysis of commitment–option contracts with forecast updates," IISE Transactions, Taylor & Francis Journals, vol. 43(6), pages 415-431.
    24. Wang, Xiaolong & Liu, Liwen, 2007. "Coordination in a retailer-led supply chain through option contract," International Journal of Production Economics, Elsevier, vol. 110(1-2), pages 115-127, October.
    25. John A. Buzacott & Rachel Q. Zhang, 2004. "Inventory Management with Asset-Based Financing," Management Science, INFORMS, vol. 50(9), pages 1274-1292, September.
    26. Lode Li & Martin Shubik & Matthew J. Sobel, 2013. "Control of Dividends, Capital Subscriptions, and Physical Inventories," Management Science, INFORMS, vol. 59(5), pages 1107-1124, May.
    27. Joseph M. Milner & Meir J. Rosenblatt, 2002. "Flexible supply contracts for short life‐cycle goods: The buyer's perspective," Naval Research Logistics (NRL), John Wiley & Sons, vol. 49(1), pages 25-45, February.
    28. Li Chen & Erica L. Plambeck, 2008. "Dynamic Inventory Management with Learning About the Demand Distribution and Substitution Probability," Manufacturing & Service Operations Management, INFORMS, vol. 10(2), pages 236-256, May.
    29. Katy S. Azoury, 1985. "Bayes Solution to Dynamic Inventory Models Under Unknown Demand Distribution," Management Science, INFORMS, vol. 31(9), pages 1150-1160, September.
    30. Gary D. Eppen & Ananth. V. Iyer, 1997. "Backup Agreements in Fashion Buying---The Value of Upstream Flexibility," Management Science, INFORMS, vol. 43(11), pages 1469-1484, November.
    31. Gary D. Eppen & Ananth. V. Iyer, 1997. "Improved Fashion Buying with Bayesian Updates," Operations Research, INFORMS, vol. 45(6), pages 805-819, December.
    32. Zhao, Yingxue & Choi, Tsan-Ming & Cheng, T.C.E. & Wang, Shouyang, 2018. "Supply option contracts with spot market and demand information updating," European Journal of Operational Research, Elsevier, vol. 266(3), pages 1062-1071.
    33. A. A. Tsay & W. S. Lovejoy, 1999. "Quantity Flexibility Contracts and Supply Chain Performance," Manufacturing & Service Operations Management, INFORMS, vol. 1(2), pages 89-111.
    34. Apostolos Burnetas & Peter Ritchken, 2005. "Option Pricing with Downward-Sloping Demand Curves: The Case of Supply Chain Options," Management Science, INFORMS, vol. 51(4), pages 566-580, April.
    35. Zhao, Yingxue & Ma, Lijun & Xie, Gang & Cheng, T.C.E., 2013. "Coordination of supply chains with bidirectional option contracts," European Journal of Operational Research, Elsevier, vol. 229(2), pages 375-381.
    36. Peter H. Ritchken & Charles S. Tapiero, 1986. "Contingent Claims Contracting for Purchasing Decisions in Inventory Management," Operations Research, INFORMS, vol. 34(6), pages 864-870, December.
    37. Nicholas C. Petruzzi & Maqbool Dada, 2001. "Information and Inventory Recourse for a Two-Market, Price-Setting Retailer," Manufacturing & Service Operations Management, INFORMS, vol. 3(3), pages 242-263, October.
    38. Xiaomei Ding & Martin L. Puterman & Arnab Bisi, 2002. "The Censored Newsvendor and the Optimal Acquisition of Information," Operations Research, INFORMS, vol. 50(3), pages 517-527, June.
    39. Anyan Qi & Hyun-Soo Ahn & Amitabh Sinha, 2017. "Capacity Investment with Demand Learning," Operations Research, INFORMS, vol. 65(1), pages 145-164, February.
    40. Zhao, Yingxue & Wang, Shouyang & Cheng, T.C.E. & Yang, Xiaoqi & Huang, Zhimin, 2010. "Coordination of supply chains by option contracts: A cooperative game theory approach," European Journal of Operational Research, Elsevier, vol. 207(2), pages 668-675, December.
    41. Wei Luo & Kevin Shang, 2015. "Joint Inventory and Cash Management for Multidivisional Supply Chains," Operations Research, INFORMS, vol. 63(5), pages 1098-1116, October.
    42. Panos Kouvelis & Wenhui Zhao, 2012. "Financing the Newsvendor: Supplier vs. Bank, and the Structure of Optimal Trade Credit Contracts," Operations Research, INFORMS, vol. 60(3), pages 566-580, June.
    43. Xiuli Chao & Jia Chen & Shouyang Wang, 2008. "Dynamic inventory management with cash flow constraints," Naval Research Logistics (NRL), John Wiley & Sons, vol. 55(8), pages 758-768, December.
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