IDEAS home Printed from https://ideas.repec.org/a/eee/proeco/v113y2008i2p518-527.html
   My bibliography  Save this article

Supply-chain coordination under an inventory-level-dependent demand rate

Author

Listed:
  • Zhou, Yong-Wu
  • Min, Jie
  • Goyal, Suresh K.

Abstract

In this paper, we consider coordination issues of a distribution system composed of a manufacturer and a retailer. The manufacturer offers a single product to the retailer and the demand for the product at the retailer's end is stock dependent. We focus on three aspects of the resulting supply chain. First, we discuss the manufacturer-Stackelberg game structure to determine how the manufacturer sets the wholesale price of the product and how the retailer in turn determines the order quantity. We assume that both the parties share relevant cost information. Then we develop a simple profit-sharing mechanism that would ultimately achieve perfect channel coordination. Finally, the manufacturer is provided with a quantity discount scheme to induce the retailer to increase the order quantity so as to maximize the manufacturer's profit. We show that this discount scheme also achieves the perfect coordination of the whole channel. Numerical examples are used to illustrate the models.

Suggested Citation

  • Zhou, Yong-Wu & Min, Jie & Goyal, Suresh K., 2008. "Supply-chain coordination under an inventory-level-dependent demand rate," International Journal of Production Economics, Elsevier, vol. 113(2), pages 518-527, June.
    • Handle: RePEc:eee:proeco:v:113:y:2008:i:2:p:518-527
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0925-5273(08)00029-7
    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. Yunzeng Wang & Yigal Gerchak, 2001. "Supply Chain Coordination when Demand Is Shelf-Space Dependent," Manufacturing & Service Operations Management, INFORMS, vol. 3(1), pages 82-87, August.
    2. Hwang, Hark & Hahn, Kyu Hun, 2000. "An optimal procurement policy for items with an inventory level-dependent demand rate and fixed lifetime," European Journal of Operational Research, Elsevier, vol. 127(3), pages 537-545, December.
    3. Jagmohan Raju & Z. John Zhang, 2005. "Channel Coordination in the Presence of a Dominant Retailer," Marketing Science, INFORMS, vol. 24(2), pages 254-262, February.
    4. Z. Kevin Weng, 1995. "Channel Coordination and Quantity Discounts," Management Science, INFORMS, vol. 41(9), pages 1509-1522, September.
    5. Hau L. Lee & Meir J. Rosenblatt, 1986. "A Generalized Quantity Discount Pricing Model to Increase Supplier's Profits," Management Science, INFORMS, vol. 32(9), pages 1177-1185, September.
    6. Li, Jianli & Liu, Liwen, 2006. "Supply chain coordination with quantity discount policy," International Journal of Production Economics, Elsevier, vol. 101(1), pages 89-98, May.
    7. Charles A. Ingene & Mark E. Parry, 1995. "Channel Coordination When Retailers Compete," Marketing Science, INFORMS, vol. 14(4), pages 360-377.
    8. Abel P. Jeuland & Steven M. Shugan, 1983. "Managing Channel Profits," Marketing Science, INFORMS, vol. 2(3), pages 239-272.
    9. Kim, Kap H. & Hwang, Hark, 1988. "An incremental discount pricing schedule with multiple customers and single price break," European Journal of Operational Research, Elsevier, vol. 35(1), pages 71-79, April.
    10. James P. Monahan, 1984. "A Quantity Discount Pricing Model to Increase Vendor Profits," Management Science, INFORMS, vol. 30(6), pages 720-726, June.
    11. Ganesh Iyer, 1998. "Coordinating Channels Under Price and Nonprice Competition," Marketing Science, INFORMS, vol. 17(4), pages 338-355.
    12. Goh, M., 1994. "EOQ models with general demand and holding cost functions," European Journal of Operational Research, Elsevier, vol. 73(1), pages 50-54, February.
    13. Sarker, Bhaba R. & Mukherjee, Subhasis & Balan, Chidambaram V., 1997. "An order-level lot size inventory model with inventory-level dependent demand and deterioration," International Journal of Production Economics, Elsevier, vol. 48(3), pages 227-236, February.
    14. Viswanathan, S. & Piplani, Rajesh, 2001. "Coordinating supply chain inventories through common replenishment epochs," European Journal of Operational Research, Elsevier, vol. 129(2), pages 277-286, March.
    15. Wu, Kun-Shan & Ouyang, Liang-Yuh & Yang, Chih-Te, 2006. "An optimal replenishment policy for non-instantaneous deteriorating items with stock-dependent demand and partial backlogging," International Journal of Production Economics, Elsevier, vol. 101(2), pages 369-384, June.
    16. Padmanabhan, G. & Vrat, Prem, 1990. "An EOQ model for items with stock dependent consumption rate and exponential decay," Engineering Costs and Production Economics, Elsevier, vol. 18(3), pages 241-246, January.
    17. Qin, Yiyan & Tang, Huanwen & Guo, Chonghui, 2007. "Channel coordination and volume discounts with price-sensitive demand," International Journal of Production Economics, Elsevier, vol. 105(1), pages 43-53, January.
    18. Giri, B. C. & Pal, S. & Goswami, A. & Chaudhuri, K. S., 1996. "An inventory model for deteriorating items with stock-dependent demand rate," European Journal of Operational Research, Elsevier, vol. 95(3), pages 604-610, December.
    19. Liao, Hung-Chang & Tsai, Chih-Hung & Su, Chao-Ton, 2000. "An inventory model with deteriorating items under inflation when a delay in payment is permissible," International Journal of Production Economics, Elsevier, vol. 63(2), pages 207-214, January.
    20. Mishra, Ajay K., 2004. "Selective discount for supplier-buyer coordination using common replenishment epochs," European Journal of Operational Research, Elsevier, vol. 153(3), pages 751-756, March.
    21. Fangruo Chen & Awi Federgruen & Yu-Sheng Zheng, 2001. "Coordination Mechanisms for a Distribution System with One Supplier and Multiple Retailers," Management Science, INFORMS, vol. 47(5), pages 693-708, 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. Tiwari, Sunil & Jaggi, Chandra K. & Gupta, Mamta & Cárdenas-Barrón, Leopoldo Eduardo, 2018. "Optimal pricing and lot-sizing policy for supply chain system with deteriorating items under limited storage capacity," International Journal of Production Economics, Elsevier, vol. 200(C), pages 278-290.
    2. Zhou, Yong-Wu & Cao, Zong-Hong & Zhong, Yuanguang, 2015. "Pricing and alliance selection for a dominant retailer with an upstream entry," European Journal of Operational Research, Elsevier, vol. 243(1), pages 211-223.
    3. Ding, Huiping & Guo, Baochun & Liu, Zhishuo, 2011. "Information sharing and profit allotment based on supply chain cooperation," International Journal of Production Economics, Elsevier, vol. 133(1), pages 70-79, September.
    4. Devangan, Lokendra & Amit, R.K. & Mehta, Peeyush & Swami, Sanjeev & Shanker, Kripa, 2013. "Individually rational buyback contracts with inventory level dependent demand," International Journal of Production Economics, Elsevier, vol. 142(2), pages 381-387.
    5. Saha, S. & Goyal, S.K., 2015. "Supply chain coordination contracts with inventory level and retail price dependent demand," International Journal of Production Economics, Elsevier, vol. 161(C), pages 140-152.
    6. Chang, Chun-Tao & Teng, Jinn-Tsair & Goyal, Suresh Kumar, 2010. "Optimal replenishment policies for non-instantaneous deteriorating items with stock-dependent demand," International Journal of Production Economics, Elsevier, vol. 123(1), pages 62-68, January.
    7. Yang, Shuai & Hong, Ki-sung & Lee, Chulung, 2014. "Supply chain coordination with stock-dependent demand rate and credit incentives," International Journal of Production Economics, Elsevier, vol. 157(C), pages 105-111.
    8. Li, Xin & Lian, Zhaotong & Choong, Kwee Keong & Liu, Xiaoming, 2016. "A quantity-flexibility contract with coordination," International Journal of Production Economics, Elsevier, vol. 179(C), pages 273-284.
    9. Zhou, Yong-Wu, 2009. "Two-echelon supply chain coordination through the unified number of annual orders," International Journal of Production Economics, Elsevier, vol. 117(1), pages 162-173, January.
    10. Cao, Zong-Hong & Zhou, Yong-Wu & Zhao, Ju & Li, Chang-Wen, 2015. "Entry mode selection and its impact on an incumbent supply chain coordination," Journal of Retailing and Consumer Services, Elsevier, vol. 26(C), pages 1-13.
    11. Pegah Bahrani & Alireza Arshadi Khamseh, 2020. "Competitive Environment Between Green and Non-green Products Considering Disruption and Alliance Strategy," Global Journal of Flexible Systems Management, Springer;Global Institute of Flexible Systems Management, vol. 21(2), pages 135-161, June.
    12. Lihao Lu & Jianxiong Zhang & Wansheng Tang, 2016. "Optimal dynamic pricing and replenishment policy for perishable items with inventory-level-dependent demand," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(6), pages 1480-1494, April.
    13. Arcelus, F.J. & Kumar, Satyendra & Srinivasan, G., 2012. "The effectiveness of manufacturer vs. retailer rebates within a newsvendor framework," European Journal of Operational Research, Elsevier, vol. 219(2), pages 252-263.
    14. Sudarshan Bardhan & Haimanti Pal & Bibhas Chandra Giri, 2019. "Optimal replenishment policy and preservation technology investment for a non-instantaneous deteriorating item with stock-dependent demand," Operational Research, Springer, vol. 19(2), pages 347-368, June.
    15. Chen, Kebing, 2012. "Procurement strategies and coordination mechanism of the supply chain with one manufacturer and multiple suppliers," International Journal of Production Economics, Elsevier, vol. 138(1), pages 125-135.
    16. Zhai, Yue & Zhong, Ray Y. & Huang, George Q., 2018. "Buffer space hedging and coordination in prefabricated construction supply chain management," International Journal of Production Economics, Elsevier, vol. 200(C), pages 192-206.
    17. Yue Zhai & Ray Y. Zhong & Zhi Li & George Huang, 2017. "Production lead-time hedging and coordination in prefabricated construction supply chain management," International Journal of Production Research, Taylor & Francis Journals, vol. 55(14), pages 3984-4002, July.
    18. Shi, Siyu & Sun, Jingchun & Cheng, T.C.E., 2020. "Wholesale or drop-shipping: Contract choices of the online retailer and the manufacturer in a dual-channel supply chain," International Journal of Production Economics, Elsevier, vol. 226(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. Zhou, Yong-Wu, 2009. "Two-echelon supply chain coordination through the unified number of annual orders," International Journal of Production Economics, Elsevier, vol. 117(1), pages 162-173, January.
    2. Sarmah, S.P. & Acharya, D. & Goyal, S.K., 2006. "Buyer vendor coordination models in supply chain management," European Journal of Operational Research, Elsevier, vol. 175(1), pages 1-15, November.
    3. Urban, Timothy L., 2005. "Inventory models with inventory-level-dependent demand: A comprehensive review and unifying theory," European Journal of Operational Research, Elsevier, vol. 162(3), pages 792-804, May.
    4. Qinan Wang, 2004. "Coordinating independent buyers with integer‐ratio time coordination and quantity discounts," Naval Research Logistics (NRL), John Wiley & Sons, vol. 51(3), pages 316-331, April.
    5. Viktoryia Buhayenko & Dick den Hertog, 2017. "Adjustable Robust Optimisation approach to optimise discounts for multi-period supply chain coordination under demand uncertainty," International Journal of Production Research, Taylor & Francis Journals, vol. 55(22), pages 6801-6823, November.
    6. Salma Karray & Chirag Surti, 2016. "Channel coordination with quantity discounts and/or cooperative advertising," International Journal of Production Research, Taylor & Francis Journals, vol. 54(17), pages 5317-5335, September.
    7. Li, Xiuhui & Wang, Qinan, 2007. "Coordination mechanisms of supply chain systems," European Journal of Operational Research, Elsevier, vol. 179(1), pages 1-16, May.
    8. Qinan Wang & Ruifang Wang, 2005. "Quantity discount pricing policies for heterogeneous retailers with price sensitive demand," Naval Research Logistics (NRL), John Wiley & Sons, vol. 52(7), pages 645-658, October.
    9. Zhou, Yong-Wu, 2007. "A comparison of different quantity discount pricing policies in a two-echelon channel with stochastic and asymmetric demand information," European Journal of Operational Research, Elsevier, vol. 181(2), pages 686-703, September.
    10. Lau, Amy Hing Ling & Lau, Hon-Shiang & Zhou, Yong-Wu, 2008. "Quantity discount and handling-charge reduction schemes for a manufacturer supplying numerous heterogeneous retailers," International Journal of Production Economics, Elsevier, vol. 113(1), pages 425-445, May.
    11. Konstantin Kogan, 2019. "Discounting revisited: evolutionary perspectives on competition and coordination in a supply chain with multiple retailers," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 27(1), pages 69-92, March.
    12. Noah Lim & Teck-Hua Ho, 2007. "Designing Price Contracts for Boundedly Rational Customers: Does the Number of Blocks Matter?," Marketing Science, INFORMS, vol. 26(3), pages 312-326, 05-06.
    13. Fangruo Chen, 1999. "Decentralized Supply Chains Subject to Information Delays," Management Science, INFORMS, vol. 45(8), pages 1076-1090, August.
    14. Nihat Altintas & Feryal Erhun & Sridhar Tayur, 2008. "Quantity Discounts Under Demand Uncertainty," Management Science, INFORMS, vol. 54(4), pages 777-792, April.
    15. Desheng Wu, 2011. "Joint pricing-servicing decision and channel strategies in the supply chain," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 19(1), pages 99-137, March.
    16. Geunes, Joseph & Romeijn, H. Edwin & van den Heuvel, Wilco, 2016. "Improving the efficiency of decentralized supply chains with fixed ordering costs," European Journal of Operational Research, Elsevier, vol. 252(3), pages 815-828.
    17. Wang, Qinan & Chay, Yiowmin & Wu, Zhang, 2011. "Streamlining inventory flows with time discounts to improve the profits of a decentralized supply chain," International Journal of Production Economics, Elsevier, vol. 132(2), pages 230-239, August.
    18. Wu, Desheng, 2013. "Coordination of competing supply chains with news-vendor and buyback contract," International Journal of Production Economics, Elsevier, vol. 144(1), pages 1-13.
    19. Viswanathan, S. & Wang, Qinan, 2003. "Discount pricing decisions in distribution channels with price-sensitive demand," European Journal of Operational Research, Elsevier, vol. 149(3), pages 571-587, September.
    20. Zhang, Xinyan & Huang, George Q., 2010. "Game-theoretic approach to simultaneous configuration of platform products and supply chains with one manufacturing firm and multiple cooperative suppliers," International Journal of Production Economics, Elsevier, vol. 124(1), pages 121-136, March.

    More about this item

    Statistics

    Access and download statistics

    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:proeco:v:113:y:2008:i:2:p:518-527. 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/ijpe .

    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.