IDEAS home Printed from https://ideas.repec.org/a/spr/annopr/v350y2025i3d10.1007_s10479-024-06362-1.html
   My bibliography  Save this article

Effect of the timing of managing capital flow and logistics on supply chain performance

Author

Listed:
  • Huan He

    (Guangzhou University)

  • Yong-Wu Zhou

    (South China University of Technology)

  • Yi Chen

    (South China University of Technology)

  • Bin Cao

    (Jinan University)

  • Chuanying Chen

    (Dongguan University of Technology)

Abstract

The timing of managing capital flow and logistics within supply chains typically encompasses three scenarios: capital flow synchronizing with, lagging behind, and preceding logistics, which are commonly observed in practice. However, very few papers have addressed the research questions such as why these orders happen in supply chains and which scenario would be better for a supply chain. To fill this gap, we use an economic order quantity setting and take a game-theoretical approach to answer these questions for a two-echelon push supply chain consisting of a supplier and a retailer across the above three scenarios. Our study yields the following results. First, if the retailer’s unit opportunity gain is small and the trade credit period is large, the retailer prefers the scenario of capital flow synchronizing with logistics, and otherwise, the scenario of capital flow lagging behind logistics. Second, it is better for the supplier to make capital flow precede logistics if the supplier’s unit opportunity gain is relatively large, capital flow lag behind logistics if the supplier’s unit opportunity gain, opportunity cost, and the retailer’s unit stock-holding cost, opportunity gain are small, and the trade credit period is large, or the value of the supplier’s unit opportunity gain is relatively middle, and otherwise, capital flow synchronize with logistics. Last, the scenario that capital flow precedes logistics is better for the whole supply chain if the supplier’s unit opportunity gain is sufficiently large; otherwise, it is not the case.

Suggested Citation

  • Huan He & Yong-Wu Zhou & Yi Chen & Bin Cao & Chuanying Chen, 2025. "Effect of the timing of managing capital flow and logistics on supply chain performance," Annals of Operations Research, Springer, vol. 350(3), pages 1017-1052, July.
  • Handle: RePEc:spr:annopr:v:350:y:2025:i:3:d:10.1007_s10479-024-06362-1
    DOI: 10.1007/s10479-024-06362-1
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10479-024-06362-1
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.

    File URL: https://libkey.io/10.1007/s10479-024-06362-1?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

    for a different version of it.

    References listed on IDEAS

    as
    1. Wee, Hui-Ming, 1999. "Deteriorating inventory model with quantity discount, pricing and partial backordering," International Journal of Production Economics, Elsevier, vol. 59(1-3), pages 511-518, March.
    2. Teng, Jinn-Tsair & Chang, Chun-Tao & Goyal, Suresh Kumar, 2005. "Optimal pricing and ordering policy under permissible delay in payments," International Journal of Production Economics, Elsevier, vol. 97(2), pages 121-129, August.
    3. Venegas, Bárbara B. & Ventura, José A., 2018. "A two-stage supply chain coordination mechanism considering price sensitive demand and quantity discounts," European Journal of Operational Research, Elsevier, vol. 264(2), pages 524-533.
    4. Liao, Jui-Jung, 2008. "An EOQ model with noninstantaneous receipt and exponentially deteriorating items under two-level trade credit," International Journal of Production Economics, Elsevier, vol. 113(2), pages 852-861, June.
    5. 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.
    6. Jie Ning, 2022. "Strategic Trade Credit in a Supply Chain with Buyer Competition," Manufacturing & Service Operations Management, INFORMS, vol. 24(4), pages 2183-2201, July.
    7. James P. Monahan, 1984. "A Quantity Discount Pricing Model to Increase Vendor Profits," Management Science, INFORMS, vol. 30(6), pages 720-726, June.
    8. Zhang, Qinhong & Zhang, Dali & Tsao, Yu-Chung & Luo, Jianwen, 2016. "Optimal ordering policy in a two-stage supply chain with advance payment for stable supply capacity," International Journal of Production Economics, Elsevier, vol. 177(C), pages 34-43.
    9. Li, Ruihai & Skouri, Konstantina & Teng, Jinn-Tsair & Yang, Wen-Goang, 2018. "Seller's optimal replenishment policy and payment term among advance, cash, and credit payments," International Journal of Production Economics, Elsevier, vol. 197(C), pages 35-42.
    10. Xuefang Sun & Jie Gao, 2023. "Effects of overtime and trade credit on an integrated inventory model with limited production capacity," Journal of the Operational Research Society, Taylor & Francis Journals, vol. 74(3), pages 956-967, March.
    11. Waqas Ahmed & Muhammad Jalees & Muhammad Omair & Zainab Mukhtar & Muhammad Imran, 2022. "An inventory management for global supply chain through reworking of defective items having positive inventory level under multi-trade-credit-period," Annals of Operations Research, Springer, vol. 315(1), pages 1-28, August.
    12. Wu, Jiang & Ouyang, Liang-Yuh & Cárdenas-Barrón, Leopoldo Eduardo & Goyal, Suresh Kumar, 2014. "Optimal credit period and lot size for deteriorating items with expiration dates under two-level trade credit financing," European Journal of Operational Research, Elsevier, vol. 237(3), pages 898-908.
    13. Justin Murfin & Ken Njoroge, 2015. "The Implicit Costs of Trade Credit Borrowing by Large Firms," The Review of Financial Studies, Society for Financial Studies, vol. 28(1), pages 112-145.
    14. Qinan Wang, 2001. "Coordinating Independent Buyers in a Distribution System to Increase a Vendor's Profits," Manufacturing & Service Operations Management, INFORMS, vol. 3(4), pages 337-348, May.
    15. 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.
    16. Jaggi, Chandra K. & Yadavalli, V.S.S. & Verma, Mona & Sharma, Anuj, 2015. "An EOQ model with allowable shortage under trade credit in different scenario," Applied Mathematics and Computation, Elsevier, vol. 252(C), pages 541-551.
    17. 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.
    18. Shayan Tavakoli & Ata Allah Taleizadeh, 2017. "An EOQ model for decaying item with full advanced payment and conditional discount," Annals of Operations Research, Springer, vol. 259(1), pages 415-436, December.
    19. Chen, Liang-Hsuan & Kang, Fu-Sen, 2007. "Integrated vendor-buyer cooperative inventory models with variant permissible delay in payments," European Journal of Operational Research, Elsevier, vol. 183(2), pages 658-673, December.
    20. Ding, Wen & Wan, Guohua, 2020. "Financing and coordinating the supply chain with a capital-constrained supplier under yield uncertainty," International Journal of Production Economics, Elsevier, vol. 230(C).
    21. Sunil Tiwari & Hui-Ming Wee & Sumon Sarkar, 2017. "Lot-sizing policies for defective and deteriorating items with time-dependent demand and trade credit," European Journal of Industrial Engineering, Inderscience Enterprises Ltd, vol. 11(5), pages 683-703.
    22. Y-W Zhou & D Zhou, 2013. "Determination of the optimal trade credit policy: a supplier-Stackelberg model," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 64(7), pages 1030-1048, July.
    23. Dye, Chung-Yuan, 2007. "Joint pricing and ordering policy for a deteriorating inventory with partial backlogging," Omega, Elsevier, vol. 35(2), pages 184-189, April.
    24. Chang, Chun-Tao & Teng, Jinn-Tsair & Chern, Maw-Sheng, 2010. "Optimal manufacturer's replenishment policies for deteriorating items in a supply chain with up-stream and down-stream trade credits," International Journal of Production Economics, Elsevier, vol. 127(1), pages 197-202, September.
    25. Jaggi, Chandra K. & Goyal, S.K. & Goel, S.K., 2008. "Retailer's optimal replenishment decisions with credit-linked demand under permissible delay in payments," European Journal of Operational Research, Elsevier, vol. 190(1), pages 130-135, October.
    26. 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.
    27. Ma, Hoi-Lam & Wang, Z.X. & Chan, Felix T.S., 2020. "How important are supply chain collaborative factors in supply chain finance? A view of financial service providers in China," International Journal of Production Economics, Elsevier, vol. 219(C), pages 341-346.
    28. 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.
    29. Mehmood Khan & Mohamad Y. Jaber, 2011. "Optimal inventory cycle in a two-stage supply chain incorporating imperfect items from suppliers," International Journal of Operational Research, Inderscience Enterprises Ltd, vol. 10(4), pages 442-457.
    30. Huang, Yung-Fu, 2007. "Optimal retailer's replenishment decisions in the EPQ model under two levels of trade credit policy," European Journal of Operational Research, Elsevier, vol. 176(3), pages 1577-1591, February.
    31. Tseng, Ming-Lang & Lim, Ming K. & Wu, Kuo-Jui, 2019. "Improving the benefits and costs on sustainable supply chain finance under uncertainty," International Journal of Production Economics, Elsevier, vol. 218(C), pages 308-321.
    32. Shi, Yan & Zhang, Zhiyong & Chen, Sheng-Chih & Cárdenas-Barrón, Leopoldo Eduardo & Skouri, Konstantina, 2020. "Optimal replenishment decisions for perishable products under cash, advance, and credit payments considering carbon tax regulations," International Journal of Production Economics, Elsevier, vol. 223(C).
    33. Chen, Liang-Hsuan & Kang, Fu-Sen, 2010. "Coordination between vendor and buyer considering trade credit and items of imperfect quality," International Journal of Production Economics, Elsevier, vol. 123(1), pages 52-61, January.
    34. 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).
    35. Teng, Jinn-Tsair, 2009. "Optimal ordering policies for a retailer who offers distinct trade credits to its good and bad credit customers," International Journal of Production Economics, Elsevier, vol. 119(2), pages 415-423, June.
    36. Hou, Kuo-Lung, 2006. "An inventory model for deteriorating items with stock-dependent consumption rate and shortages under inflation and time discounting," European Journal of Operational Research, Elsevier, vol. 168(2), pages 463-474, January.
    37. 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.
    38. Ata Allah Taleizadeh & Shayan Tavakoli & Luis Augusto San-José, 2018. "A lot sizing model with advance payment and planned backordering," Annals of Operations Research, Springer, vol. 271(2), pages 1001-1022, December.
    39. 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.
    40. Wuttke, David A. & Blome, Constantin & Sebastian Heese, H. & Protopappa-Sieke, Margarita, 2016. "Supply chain finance: Optimal introduction and adoption decisions," International Journal of Production Economics, Elsevier, vol. 178(C), pages 72-81.
    41. Diwakar Gupta & Lei Wang, 2009. "A Stochastic Inventory Model with Trade Credit," Manufacturing & Service Operations Management, INFORMS, vol. 11(1), pages 4-18, November.
    42. Teunter, Ruud H. & Kuipers, Stefan, 2022. "Inventory control with demand substitution: new insights from a two-product Economic Order Quantity analysis," Omega, Elsevier, vol. 113(C).
    43. Wang, Kai & Zhao, Ruiqing & Peng, Jin, 2018. "Trade credit contracting under asymmetric credit default risk: Screening, checking or insurance," European Journal of Operational Research, Elsevier, vol. 266(2), pages 554-568.
    44. Z. Kevin Weng, 1995. "Channel Coordination and Quantity Discounts," Management Science, INFORMS, vol. 41(9), pages 1509-1522, September.
    45. Jaggi, C. K. & Aggarwal, S. P., 1994. "Credit financing in economic ordering policies of deteriorating items," International Journal of Production Economics, Elsevier, vol. 34(2), pages 151-155, March.
    46. 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.
    47. Chen, Xiangfeng, 2015. "A model of trade credit in a capital-constrained distribution channel," International Journal of Production Economics, Elsevier, vol. 159(C), pages 347-357.
    48. 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.
    49. 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.
    50. J-T Teng & S K Goyal, 2007. "Optimal ordering policies for a retailer in a supply chain with up-stream and down-stream trade credits," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 58(9), pages 1252-1255, September.
    51. Bin Cao & Xin Chen & T. C. Edwin Cheng & Yuanguang Zhong & Yong‐Wu Zhou, 2023. "Inventory and financial strategies of capital‐constrained firms under limited joint liability financing," Production and Operations Management, Production and Operations Management Society, vol. 32(11), pages 3413-3432, November.
    52. Bi, Gongbing & Wang, Pingfan & Wang, Dujuan & Yin, Yunqiang, 2021. "Optimal credit period and ordering policy with credit-dependent demand under two-level trade credit," International Journal of Production Economics, Elsevier, vol. 242(C).
    53. 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.
    54. 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.
    55. Wee, Hui-Ming & Huang, Yen-Deng & Wang, Wan-Tsu & Cheng, Yung-Lung, 2014. "An EPQ model with partial backorders considering two backordering costs," Applied Mathematics and Computation, Elsevier, vol. 232(C), pages 898-907.
    56. Sarmah, S.P. & Acharya, D. & Goyal, S.K., 2007. "Coordination and profit sharing between a manufacturer and a buyer with target profit under credit option," European Journal of Operational Research, Elsevier, vol. 182(3), pages 1469-1478, November.
    57. Mendoza, Abraham & Ventura, José A., 2008. "Incorporating quantity discounts to the EOQ model with transportation costs," International Journal of Production Economics, Elsevier, vol. 113(2), pages 754-765, June.
    Full references (including those not matched with items on IDEAS)

    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. 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.
    2. 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.
    3. Johari, Maryam & Hosseini-Motlagh, Seyyed-Mahdi & Nematollahi, Mohammadreza & Goh, Mark & Ignatius, Joshua, 2018. "Bi-level credit period coordination for periodic review inventory system with price-credit dependent demand under time value of money," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 114(C), pages 270-291.
    4. Li, Ruihai & Skouri, Konstantina & Teng, Jinn-Tsair & Yang, Wen-Goang, 2018. "Seller's optimal replenishment policy and payment term among advance, cash, and credit payments," International Journal of Production Economics, Elsevier, vol. 197(C), pages 35-42.
    5. 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.
    6. Chung, Kun-Jen & Eduardo Cárdenas-Barrón, Leopoldo & Ting, Pin-Shou, 2014. "An inventory model with non-instantaneous receipt and exponentially deteriorating items for an integrated three layer supply chain system under two levels of trade credit," International Journal of Production Economics, Elsevier, vol. 155(C), pages 310-317.
    7. 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.
    8. Vandana, & Kaur, Arshinder, 2019. "Two-level trade credit with default risk in the supply chain under stochastic demand," Omega, Elsevier, vol. 88(C), pages 4-23.
    9. Mu, Xiuqing & Kang, Kai & Zhang, Jing, 2022. "Dual-channel supply chain coordination considering credit sales competition," Applied Mathematics and Computation, Elsevier, vol. 434(C).
    10. Lin Feng & Konstantina Skouri & Wan-Chih Wang & Jinn-Tsair Teng, 2022. "Optimal selling price, replenishment cycle and payment time among advance, cash, and credit payments from the seller’s perspective," Annals of Operations Research, Springer, vol. 315(2), pages 791-812, August.
    11. Chandan Mahato & Gour Chandra Mahata, 2023. "Optimal ordering policy under order-size dependent trade credit and complete backlogging derived algebraically," OPSEARCH, Springer;Operational Research Society of India, vol. 60(1), pages 420-444, March.
    12. 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.
    13. Cai, Gangshu (George) & Chiang, Wen-Chyuan & Chen, Xiangfeng, 2011. "Game theoretic pricing and ordering decisions with partial lost sales in two-stage supply chains," International Journal of Production Economics, Elsevier, vol. 130(2), pages 175-185, April.
    14. Venegas, Bárbara B. & Ventura, José A., 2018. "A two-stage supply chain coordination mechanism considering price sensitive demand and quantity discounts," European Journal of Operational Research, Elsevier, vol. 264(2), pages 524-533.
    15. Ata Allah Taleizadeh & Sara Tavassoli & Arijit Bhattacharya, 2020. "Inventory ordering policies for mixed sale of products under inspection policy, multiple prepayment, partial trade credit, payments linked to order quantity and full backordering," Annals of Operations Research, Springer, vol. 287(1), pages 403-437, April.
    16. Ranveer Singh Rana & Dinesh Kumar & Kanika Prasad & K. Mathiyazhagan, 2024. "Mitigating the impact of demand disruption on perishable inventory in a two-warehouse system," Operations Management Research, Springer, vol. 17(2), pages 469-504, June.
    17. Jinn-Tsair Teng & Kuo-Ren Lou, 2012. "Seller’s optimal credit period and replenishment time in a supply chain with up-stream and down-stream trade credits," Journal of Global Optimization, Springer, vol. 53(3), pages 417-430, July.
    18. Zhihong Wang & Lima Zhao & Yuwei Shao & Xiaojuan Wen, 2023. "Reputation compensation for incentive alignment in a supply chain with trade credit under information asymmetry," Annals of Operations Research, Springer, vol. 331(1), pages 581-604, December.
    19. Ping Ruan & Yung-Fu Huang & Ming-Wei Weng, 2022. "Impact of COVID-19 on Supply Chains: A Hybrid Trade Credit Policy," Mathematics, MDPI, vol. 10(8), pages 1-22, April.
    20. Hong Cheng & Yingsheng Su & Jinjiang Yan & Xianyu Wang & Mingyang Li, 2019. "The Incentive Model in Supply Chain with Trade Credit and Default Risk," Complexity, Hindawi, vol. 2019, pages 1-11, May.

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;

    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:spr:annopr:v:350:y:2025:i:3:d:10.1007_s10479-024-06362-1. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.