IDEAS home Printed from https://ideas.repec.org/a/eee/ejores/v223y2012i1p76-85.html
   My bibliography  Save this article

An uncooperative order model for items with trade credit, inventory-dependent demand and limited displayed-shelf space

Author

Listed:
  • Zhou, Yong-Wu
  • Zhong, Yuanguang
  • Li, Jicai

Abstract

This paper considers a two-echelon supply chain where a supplier sells a single product through a retailer, who faces an inventory-dependent demand. The supplier hopes to incentive the retailer to order more items by offering trade credit. The retailer places the ordered items on the display shelf (DS) with limited space and stocks the remaining items (if any) that exceed the shelf capacity in his/her backroom/warehouse (BW). From the supplier’s perspective, we focus mainly on under which conditions the supplier should offer trade credit and how he/she should design such trade credit policy and corresponding ordering policy to obtain much more benefits. From the retailer’s perspective, we discuss whether the retailer needs BW and exactly how many items need to be stocked in BW when the supplier offers trade credit. We formulate a “supplier-Stackelberg” game model, from which we obtain the conditions under which the presented simple trade credit policy not only increases the overall chain profit but also each member’s profit. We also show that the trade credit policy is always more beneficial to the retailer than to the supplier if it is offered.

Suggested Citation

  • Zhou, Yong-Wu & Zhong, Yuanguang & Li, Jicai, 2012. "An uncooperative order model for items with trade credit, inventory-dependent demand and limited displayed-shelf space," European Journal of Operational Research, Elsevier, vol. 223(1), pages 76-85.
  • Handle: RePEc:eee:ejores:v:223:y:2012:i:1:p:76-85
    DOI: 10.1016/j.ejor.2012.06.012
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0377221712004675
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.ejor.2012.06.012?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. Zhou, Yong-Wu & Yang, Shan-Lin, 2005. "A two-warehouse inventory model for items with stock-level-dependent demand rate," International Journal of Production Economics, Elsevier, vol. 95(2), pages 215-228, February.
    2. Teng, Jinn-Tsair & Chang, Chun-Tao, 2009. "Optimal manufacturer's replenishment policies in the EPQ model under two levels of trade credit policy," European Journal of Operational Research, Elsevier, vol. 195(2), pages 358-363, June.
    3. Abad, P. L. & Jaggi, C. K., 2003. "A joint approach for setting unit price and the length of the credit period for a seller when end demand is price sensitive," International Journal of Production Economics, Elsevier, vol. 83(2), pages 115-122, February.
    4. Chung, Kun-Jen & Liao, Jui-Jung, 2011. "The simplified solution algorithm for an integrated supplier-buyer inventory model with two-part trade credit in a supply chain system," European Journal of Operational Research, Elsevier, vol. 213(1), pages 156-165, August.
    5. Ho, Chia-Huei & Ouyang, Liang-Yuh & Su, Chia-Hsien, 2008. "Optimal pricing, shipment and payment policy for an integrated supplier-buyer inventory model with two-part trade credit," European Journal of Operational Research, Elsevier, vol. 187(2), pages 496-510, June.
    6. Chandra Jaggi & Aditi Khanna & Priyanka Verma, 2011. "Two-warehouse partial backlogging inventory model for deteriorating items with linear trend in demand under inflationary conditions," International Journal of Systems Science, Taylor & Francis Journals, vol. 42(7), pages 1185-1196.
    7. Prafulla N. Joglekar, 1988. "Note---Comments on "A Quantity Discount Pricing Model to Increase Vendor Profits"," Management Science, INFORMS, vol. 34(11), pages 1391-1398, November.
    8. Lee, Chun Chen & Hsu, Shu-Lu, 2009. "A two-warehouse production model for deteriorating inventory items with time-dependent demands," European Journal of Operational Research, Elsevier, vol. 194(3), pages 700-710, May.
    9. Goyal, Suresh Kumar & Chang, Chun-Tao, 2009. "Optimal ordering and transfer policy for an inventory with stock dependent demand," European Journal of Operational Research, Elsevier, vol. 196(1), pages 177-185, July.
    10. Soni, Hardik & Shah, Nita H., 2008. "Optimal ordering policy for stock-dependent demand under progressive payment scheme," European Journal of Operational Research, Elsevier, vol. 184(1), pages 91-100, January.
    11. Charles W. Haley & Robert C. Higgins, 1973. "Inventory Policy and Trade Credit Financing," Management Science, INFORMS, vol. 20(4-Part-I), pages 464-471, December.
    12. J-T Teng, 2002. "On the economic order quantity under conditions of permissible delay in payments," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 53(8), pages 915-918, August.
    13. 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.
    14. Ouyang, Liang-Yuh & Teng, Jinn-Tsair & Goyal, Suresh Kumar & Yang, Chih-Te, 2009. "An economic order quantity model for deteriorating items with partially permissible delay in payments linked to order quantity," European Journal of Operational Research, Elsevier, vol. 194(2), pages 418-431, April.
    15. Aaronson, Daniel & Bostic, Raphael W. & Huck, Paul & Townsend, Robert, 2004. "Supplier relationships and small business use of trade credit," Journal of Urban Economics, Elsevier, vol. 55(1), pages 46-67, January.
    16. Sheen, Gwo-Ji & Tsao, Yu-Chung, 2007. "Channel coordination, trade credit and quantity discounts for freight cost," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 43(2), pages 112-128, March.
    17. Chung, Kun-Jen & Liao, Jui-Jung, 2009. "The optimal ordering policy of the EOQ model under trade credit depending on the ordering quantity from the DCF approach," European Journal of Operational Research, Elsevier, vol. 196(2), pages 563-568, July.
    18. Huang, Yung-Fu, 2007. "Economic order quantity under conditionally permissible delay in payments," European Journal of Operational Research, Elsevier, vol. 176(2), pages 911-924, January.
    19. Luo, Jianwen, 2007. "Buyer-vendor inventory coordination with credit period incentives," International Journal of Production Economics, Elsevier, vol. 108(1-2), pages 143-152, July.
    20. Pakkala, T. P. M. & Achary, K. K., 1992. "A deterministic inventory model for deteriorating items with two warehouses and finite replenishment rate," European Journal of Operational Research, Elsevier, vol. 57(1), pages 71-76, February.
    21. Huang, Chao-Kuei & Tsai, Deng-Maw & Wu, Ji-Cheng & Chung, Kun-Jen, 2010. "An integrated vendor-buyer inventory model with order-processing cost reduction and permissible delay in payments," European Journal of Operational Research, Elsevier, vol. 202(2), pages 473-478, April.
    22. Musa, Abubakar & Sani, Babangida, 2012. "Inventory ordering policies of delayed deteriorating items under permissible delay in payments," International Journal of Production Economics, Elsevier, vol. 136(1), pages 75-83.
    23. Chung, Kun-Jen & Huang, Tien-Shou, 2007. "The optimal retailer's ordering policies for deteriorating items with limited storage capacity under trade credit financing," International Journal of Production Economics, Elsevier, vol. 106(1), pages 127-145, March.
    24. Sarma, K. V. S., 1987. "A deterministic order level inventory model for deteriorating items with two storage facilities," European Journal of Operational Research, Elsevier, vol. 29(1), pages 70-73, April.
    25. 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.
    26. Teng, Jinn-Tsair & Krommyda, Iris-Pandora & Skouri, Konstantina & Lou, Kuo-Ren, 2011. "A comprehensive extension of optimal ordering policy for stock-dependent demand under progressive payment scheme," European Journal of Operational Research, Elsevier, vol. 215(1), pages 97-104, November.
    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. Janssen, Larissa & Claus, Thorsten & Sauer, Jürgen, 2016. "Literature review of deteriorating inventory models by key topics from 2012 to 2015," International Journal of Production Economics, Elsevier, vol. 182(C), pages 86-112.
    2. Chen, Jiguang & Hu, Qiying, 2015. "Optimal payment scheme when the supplier’s quality level and cost are unknown," European Journal of Operational Research, Elsevier, vol. 245(3), pages 731-742.
    3. Chandra K. Jaggi & Mamta Gupta & Amrina Kausar & Sunil Tiwari, 2019. "Inventory and credit decisions for deteriorating items with displayed stock dependent demand in two-echelon supply chain using Stackelberg and Nash equilibrium solution," Annals of Operations Research, Springer, vol. 274(1), pages 309-329, March.
    4. Xu, Xinhan & Chen, Xiangfeng & Jia, Fu & Brown, Steve & Gong, Yu & Xu, Yifan, 2018. "Supply chain finance: A systematic literature review and bibliometric analysis," International Journal of Production Economics, Elsevier, vol. 204(C), pages 160-173.
    5. Kuo, Chia-Wei & Yang, Shu-Jung Sunny, 2013. "The role of store brand positioning for appropriating supply chain profit under shelf space allocation," European Journal of Operational Research, Elsevier, vol. 231(1), pages 88-97.
    6. Teng, Jinn-Tsair & Lou, Kuo-Ren & Wang, Lu, 2014. "Optimal trade credit and lot size policies in economic production quantity models with learning curve production costs," International Journal of Production Economics, Elsevier, vol. 155(C), pages 318-323.
    7. 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.
    8. Zhong, Yuan-Guang & Zhou, Yong-Wu, 2013. "Improving the supply chain's performance through trade credit under inventory-dependent demand and limited storage capacity," International Journal of Production Economics, Elsevier, vol. 143(2), pages 364-370.
    9. Wang, Wan-Chih & Teng, Jinn-Tsair & Lou, Kuo-Ren, 2014. "Seller’s optimal credit period and cycle time in a supply chain for deteriorating items with maximum lifetime," European Journal of Operational Research, Elsevier, vol. 232(2), pages 315-321.
    10. Ali Akbar Shaikh & Leopoldo Eduardo Cárdenas-Barrón & Amalesh Kumar Manna & Armando Céspedes-Mota & Gerardo Treviño-Garza, 2021. "Two Level Trade Credit Policy Approach in Inventory Model with Expiration Rate and Stock Dependent Demand under Nonzero Inventory and Partial Backlogged Shortages," Sustainability, MDPI, vol. 13(23), pages 1-19, December.
    11. Yan, Jinjiang & Wang, Xianyu & Cheng, Hong & Huang, Lu, 2016. "Study on the coordination contract in supply chain under trade credit based on risk compensation," Chaos, Solitons & Fractals, Elsevier, vol. 89(C), pages 533-538.
    12. Zhong, Yuanguang & Shu, Jia & Xie, Wei & Zhou, Yong-Wu, 2018. "Optimal trade credit and replenishment policies for supply chain network design," Omega, Elsevier, vol. 81(C), pages 26-37.
    13. Longfei He & Han Gao & Xiao Zhang & Qinpeng Wang & Chenglin Hu, 2018. "Optimal Replenishment for Perishable Products with Inventory-Dependent Demand and Backlogging under Continuous and Discrete Progressive Payments," Sustainability, MDPI, vol. 10(10), pages 1-22, October.
    14. Wang, Zhiqiang & Wang, Qiang & Lai, Yin & Liang, Chaojie, 2020. "Drivers and outcomes of supply chain finance adoption: An empirical investigation in China," International Journal of Production Economics, Elsevier, vol. 220(C).
    15. Wang, Jing & Wang, Kai & Li, Xiang & Zhao, Ruiqing, 2022. "Suppliers’ trade credit strategies with transparent credit ratings: Null, exclusive, and nonchalant provision," European Journal of Operational Research, Elsevier, vol. 297(1), pages 153-163.

    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. Seifert, Daniel & Seifert, Ralf W. & Protopappa-Sieke, Margarita, 2013. "A review of trade credit literature: Opportunities for research in operations," European Journal of Operational Research, Elsevier, vol. 231(2), pages 245-256.
    2. Zhong, Yuan-Guang & Zhou, Yong-Wu, 2013. "Improving the supply chain's performance through trade credit under inventory-dependent demand and limited storage capacity," International Journal of Production Economics, Elsevier, vol. 143(2), pages 364-370.
    3. Liao, Jui-Jung & Chung, Kun-Jen & Huang, Kuo-Nan, 2013. "A deterministic inventory model for deteriorating items with two warehouses and trade credit in a supply chain system," International Journal of Production Economics, Elsevier, vol. 146(2), pages 557-565.
    4. Bhunia, A.K. & Shaikh, Ali Akbar, 2015. "An application of PSO in a two-warehouse inventory model for deteriorating item under permissible delay in payment with different inventory policies," Applied Mathematics and Computation, Elsevier, vol. 256(C), pages 831-850.
    5. Bhunia, A.K. & Jaggi, Chandra K. & Sharma, Anuj & Sharma, Ritu, 2014. "A two-warehouse inventory model for deteriorating items under permissible delay in payment with partial backlogging," Applied Mathematics and Computation, Elsevier, vol. 232(C), pages 1125-1137.
    6. Xu, Xinhan & Chen, Xiangfeng & Jia, Fu & Brown, Steve & Gong, Yu & Xu, Yifan, 2018. "Supply chain finance: A systematic literature review and bibliometric analysis," International Journal of Production Economics, Elsevier, vol. 204(C), pages 160-173.
    7. Majumder, P. & Bera, U.K. & Maiti, M., 2016. "An EPQ model for two-warehouse in unremitting release pattern with two-level trade credit period concerning both supplier and retailer," Applied Mathematics and Computation, Elsevier, vol. 274(C), pages 430-458.
    8. Zhang, Qinhong & Dong, Ming & Luo, Jianwen & Segerstedt, Anders, 2014. "Supply chain coordination with trade credit and quantity discount incorporating default risk," International Journal of Production Economics, Elsevier, vol. 153(C), pages 352-360.
    9. Chern, Maw-Sheng & Pan, Qinhua & Teng, Jinn-Tsair & Chan, Ya-Lan & Chen, Sheng-Chih, 2013. "Stackelberg solution in a vendor–buyer supply chain model with permissible delay in payments," International Journal of Production Economics, Elsevier, vol. 144(1), pages 397-404.
    10. Chung, Kun-Jen & Huang, Tien-Shou, 2007. "The optimal retailer's ordering policies for deteriorating items with limited storage capacity under trade credit financing," International Journal of Production Economics, Elsevier, vol. 106(1), pages 127-145, March.
    11. Yu, Jonas C.P., 2019. "Optimizing a two-warehouse system under shortage backordering, trade credit, and decreasing rental conditions," International Journal of Production Economics, Elsevier, vol. 209(C), pages 147-155.
    12. Chandra K. Jaggi & Sunil Tiwari & Satish K. Goel, 2017. "Credit financing in economic ordering policies for non-instantaneous deteriorating items with price dependent demand and two storage facilities," Annals of Operations Research, Springer, vol. 248(1), pages 253-280, January.
    13. Chen, Liang-Hsuan & Kang, Fu-Sen, 2010. "Integrated inventory models considering the two-level trade credit policy and a price-negotiation scheme," European Journal of Operational Research, Elsevier, vol. 205(1), pages 47-58, August.
    14. Beatriz Abdul-Jalbar & Roberto Dorta-Guerra & José M. Gutiérrez & Joaquín Sicilia, 2021. "Production/Inventory Policies for a Two-Echelon System with Credit Period Incentives," Mathematics, MDPI, vol. 9(15), pages 1-25, July.
    15. Ouyang, Liang-Yuh & Ho, Chia-Huei & Su, Chia-Hsien, 2008. "Optimal strategy for an integrated system with variable production rate when the freight rate and trade credit are both linked to the order quantity," International Journal of Production Economics, Elsevier, vol. 115(1), pages 151-162, September.
    16. Taleizadeh, Ata Allah & Pentico, David W. & Saeed Jabalameli, Mohammad & Aryanezhad, Mirbahador, 2013. "An EOQ model with partial delayed payment and partial backordering," Omega, Elsevier, vol. 41(2), pages 354-368.
    17. A. Thangam, 2017. "Retailer’s optimal replenishment policy in a two-echelon supply chain under two-part delay in payments and disruption in delivery," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 8(1), pages 26-46, January.
    18. Pourmohammad Zia, Nadia & Taleizadeh, Ata Allah, 2015. "A lot-sizing model with backordering under hybrid linked-to-order multiple advance payments and delayed payment," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 82(C), pages 19-37.
    19. Tiwari, Sunil & Cárdenas-Barrón, Leopoldo Eduardo & Khanna, Aditi & Jaggi, Chandra K., 2016. "Impact of trade credit and inflation on retailer's ordering policies for non-instantaneous deteriorating items in a two-warehouse environment," International Journal of Production Economics, Elsevier, vol. 176(C), pages 154-169.
    20. Yu-Chung Tsao, 2015. "A piecewise nonlinear optimization for a production-inventory model under maintenance, variable setup costs, and trade credits," Annals of Operations Research, Springer, vol. 233(1), pages 465-481, October.

    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:223:y:2012:i:1:p:76-85. 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.