IDEAS home Printed from https://ideas.repec.org/a/eee/ejores/v209y2011i3p273-284.html
   My bibliography  Save this article

On a multi-period supply chain system with supplementary order opportunity

Author

Listed:
  • Li, Xiang
  • Li, Yongjian
  • Cai, Xiaoqiang

Abstract

This paper considers a supplementary supply-order system in a multi-period situation. In each period, the buyer first places an initial order based on the demand prediction; he has the opportunity to place a supplementary order with the supplier after the demand of that period is realized. The supplier maintains an inventory, and decides the quantity to be produced and the quantity to be provided for the supplementary order in each time period. We formulate the problem as a multi-period inventory game, and derive the optimal production and order policies for the supplier and buyer, respectively. The existence and uniqueness of Nash equilibrium is proved in the generalized multi-period setting, and the closed-form Nash equilibrium solution is obtained when the parameters are stationary. Numerical study is performed to reveal more managerial insights. We find that the supplementary supply-order mechanism, if designed properly, can effectively improve the multi-period supply chain performance.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:ejores:v:209:y:2011:i:3:p:273-284
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0377-2217(10)00556-4
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    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. Chi Chiang & Genaro J. Gutierrez, 1998. "Optimal control policies for a periodic review inventory system with emergency orders," Naval Research Logistics (NRL), John Wiley & Sons, vol. 45(2), pages 187-204, March.
    2. 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.
    3. S. P. Sethi & H. Yan & H. Zhang, 2001. "Peeling Layers of an Onion: Inventory Model with Multiple Delivery Modes and Forecast Updates," Journal of Optimization Theory and Applications, Springer, vol. 108(2), pages 253-281, February.
    4. Marshall Fisher & Kumar Rajaram & Ananth Raman, 2001. "Optimizing Inventory Replenishment of Retail Fashion Products," Manufacturing & Service Operations Management, INFORMS, vol. 3(3), pages 230-241, November.
    5. Qunzhi Wang & Ou Tang & De-bi Tsao, 2006. "A flexible contract strategy in a supply chain with an inflexible production mode," International Journal of Operational Research, Inderscience Enterprises Ltd, vol. 1(3), pages 228-248.
    6. Gérard P. Cachon, 2004. "The Allocation of Inventory Risk in a Supply Chain: Push, Pull, and Advance-Purchase Discount Contracts," Management Science, INFORMS, vol. 50(2), pages 222-238, February.
    7. Marshall Fisher & Ananth Raman, 1996. "Reducing the Cost of Demand Uncertainty Through Accurate Response to Early Sales," Operations Research, INFORMS, vol. 44(1), pages 87-99, February.
    8. Chiang, Chi, 2010. "An order expediting policy for continuous review systems with manufacturing lead-time," European Journal of Operational Research, Elsevier, vol. 203(2), pages 526-531, June.
    9. Choi, Tsan-Ming, 2007. "Pre-season stocking and pricing decisions for fashion retailers with multiple information updating," International Journal of Production Economics, Elsevier, vol. 106(1), pages 146-170, March.
    10. Lingxiu Dong & Kaijie Zhu, 2007. "Two-Wholesale-Price Contracts: Push, Pull, and Advance-Purchase Discount Contracts," Manufacturing & Service Operations Management, INFORMS, vol. 9(3), pages 291-311, January.
    11. 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.
    12. 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.
    13. Suresh P. Sethi & Houmin Yan & Hanqin Zhang, 2003. "Inventory Models with Fixed Costs, Forecast Updates, and Two Delivery Modes," Operations Research, INFORMS, vol. 51(2), pages 321-328, April.
    14. Andy A. Tsay, 1999. "The Quantity Flexibility Contract and Supplier-Customer Incentives," Management Science, INFORMS, vol. 45(10), pages 1339-1358, October.
    15. Ozer, Ozalp & Uncu, Onur & Wei, Wei, 2007. "Selling to the "Newsvendor" with a forecast update: Analysis of a dual purchase contract," European Journal of Operational Research, Elsevier, vol. 182(3), pages 1150-1176, November.
    16. Lian, Zhaotong & Deshmukh, Abhijit, 2009. "Analysis of supply contracts with quantity flexibility," European Journal of Operational Research, Elsevier, vol. 196(2), pages 526-533, July.
    17. Chiang, Chi, 2003. "Optimal replenishment for a periodic review inventory system with two supply modes," European Journal of Operational Research, Elsevier, vol. 149(1), pages 229-244, August.
    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. 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.
    2. 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).

    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. Choi, Tsan-Ming & Sethi, Suresh, 2010. "Innovative quick response programs: A review," International Journal of Production Economics, Elsevier, vol. 127(1), pages 1-12, September.
    2. Julia Miyaoka & Warren H. Hausman, 2008. "How Improved Forecasts Can Degrade Decentralized Supply Chains," Manufacturing & Service Operations Management, INFORMS, vol. 10(3), pages 547-562, July.
    3. Liu, Zhongyi & Chen, Lihua & Li, Ling & Zhai, Xin, 2014. "Risk hedging in a supply chain: Option vs. price discount," International Journal of Production Economics, Elsevier, vol. 151(C), pages 112-120.
    4. Cheaitou, Ali & Cheaytou, Rima, 2019. "A two-stage capacity reservation supply contract with risky supplier and forecast updating," International Journal of Production Economics, Elsevier, vol. 209(C), pages 42-60.
    5. 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.
    6. Sandun C. Perera & Suresh P. Sethi, 2023. "A survey of stochastic inventory models with fixed costs: Optimality of (s, S) and (s, S)‐type policies—Discrete‐time case," Production and Operations Management, Production and Operations Management Society, vol. 32(1), pages 131-153, January.
    7. Xiao, Yongbo & Zhang, Jihong, 2018. "Preselling to a retailer with cash flow shortage on the manufacturer," Omega, Elsevier, vol. 80(C), pages 43-57.
    8. Shen, Houcai & Pang, Zhan & Cheng, T.C.E., 2011. "The component procurement problem for the loss-averse manufacturer with spot purchase," International Journal of Production Economics, Elsevier, vol. 132(1), pages 146-153, July.
    9. Cai, Wenbo & Abdel-Malek, Layek & Hoseini, Babak & Rajaei Dehkordi, Sharareh, 2015. "Impact of flexible contracts on the performance of both retailer and supplier," International Journal of Production Economics, Elsevier, vol. 170(PB), pages 429-444.
    10. Zhang, Dengfeng & de Matta, Renato & Lowe, Timothy J., 2010. "Channel coordination in a consignment contract," European Journal of Operational Research, Elsevier, vol. 207(2), pages 897-905, December.
    11. Seo, Kyowon & Go, Sarang & Kim, Byungdo, 2020. "Pricing strategies under markets with time gap between purchase and consumption," Journal of Business Research, Elsevier, vol. 120(C), pages 312-320.
    12. Biswas, Indranil & Avittathur, Balram, 2019. "Channel coordination using options contract under simultaneous price and inventory competition," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 123(C), pages 45-60.
    13. Liu, Cong & Jiang, Zhibin & Liu, Liming & Geng, Na, 2013. "Solutions for flexible container leasing contracts with options under capacity and order constraints," International Journal of Production Economics, Elsevier, vol. 141(1), pages 403-413.
    14. Shi Chen & Hau Lee & Kamran Moinzadeh, 2016. "Supply Chain Coordination with Multiple Shipments: The Optimal Inventory Subsidizing Contracts," Operations Research, INFORMS, vol. 64(6), pages 1320-1337, December.
    15. 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.
    16. Tamer Boyacı & Özalp Özer, 2010. "Information Acquisition for Capacity Planning via Pricing and Advance Selling: When to Stop and Act?," Operations Research, INFORMS, vol. 58(5), pages 1328-1349, October.
    17. Choi, Tsan-Ming & Chow, Pui-Sze, 2008. "Mean-variance analysis of Quick Response Program," International Journal of Production Economics, Elsevier, vol. 114(2), pages 456-475, August.
    18. Adhikari, Arnab & Bisi, Arnab & Avittathur, Balram, 2020. "Coordination mechanism, risk sharing, and risk aversion in a five-level textile supply chain under demand and supply uncertainty," European Journal of Operational Research, Elsevier, vol. 282(1), pages 93-107.
    19. Lijo John & Anand Gurumurthy & Arqum Mateen & Gopalakrishnan Narayanamurthy, 2022. "Improving the coordination in the humanitarian supply chain: exploring the role of options contract," Annals of Operations Research, Springer, vol. 319(1), pages 15-40, December.
    20. Cheaitou, Ali & van Delft, Christian & Dallery, Yves & Jemai, Zied, 2009. "Two-period production planning and inventory control," International Journal of Production Economics, Elsevier, vol. 118(1), pages 118-130, March.

    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:ejores:v:209:y:2011:i:3:p:273-284. 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/locate/eor .

    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.