Skip to main content
Log in

Seller’s optimal credit period and replenishment time in a supply chain with up-stream and down-stream trade credits

  • Published:
Journal of Global Optimization Aims and scope Submit manuscript

Abstract

In practice, a supplier often offers its retailers a permissible delay period M to settle their unpaid accounts. Likewise, a retailer in turn offers another trade credit period N to its customers. The benefits of trade credit are not only to attract new buyers who consider it a type of price reduction, but also to provide a competitive strategy other than introduce permanent price reductions. On the other hand, the policy of granting credit terms adds an additional cost to the seller as well as an additional dimension of default risk. In this paper, we first incorporate the fact that trade credit has a positive impact on demand but negative impacts on costs and default risks to establish an economic order quantity model for the seller in a supply chain with up-stream and down-stream trade credits. Then we derive the necessary and sufficient conditions to obtain the optimal replenishment time and credit period for the seller. Finally, we use some numerical examples to illustrate the theoretical results.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Abad P.L., Jaggi C.K.: A joint approach for setting unit price and the length of the credit period for a seller when end demand is price sensitive. Int. J. Prod. Econ. 83, 115–122 (2003)

    Article  Google Scholar 

  2. Aggarwal S.P., Jaggi C.K.: Ordering policies of deteriorating items under permissible delay in payments. J. Oper. Res. Soc. 46, 658–662 (1995)

    Google Scholar 

  3. Brigham E.F.: Fundamentals of Financial Management. The Dryden Press, Florida (1995)

    Google Scholar 

  4. Chang C.T., Ouyang L.Y., Teng J.T.: An EOQ model for deteriorating items under supplier credits linked to ordering quantity. Appl. Math. Model. 27, 983–996 (2003)

    Article  Google Scholar 

  5. Chang C.T., Teng J.T.: Retailer’s optimal ordering policy under supplier credits. Math. Method. Oper. Res. 60, 471–483 (2004)

    Article  Google Scholar 

  6. Chung, K.J.: A theorem on the determination of economic order quantity under conditions of permissible delay in payments. Comput. Oper. Res. 25, 49–52 (1998)

    Google Scholar 

  7. Chung K.J., Huang Y.F.: The optimal cycle time for EPQ inventory model under permissible delay in payments. Int. J. Prod. Econ. 84, 307–318 (2003)

    Article  Google Scholar 

  8. Chung K.J., Liao J.J.: Lot-sizing decisions under trade credit depending on the order quantity. Comput. Oper. Res. 31, 909–928 (2004)

    Article  Google Scholar 

  9. Dave U.: Letters and viewpoints on“ Economic order quantity under conditions of permissible delay in payments”. J. Oper. Res. Soc. 46, 1069–1070 (1985)

    Article  Google Scholar 

  10. Goyal S.K.: Economic order quantity under conditions of permissible delay in payments. J. Oper. Res. Soc. 36, 335–338 (1985)

    Google Scholar 

  11. Goyal S.K., Teng J.T., Chang C.T.: Optimal ordering policies when the supplier provides a progressive interest-payable scheme. Eur. J. Oper. Res. 179, 404–413 (2007)

    Article  Google Scholar 

  12. Huang Y.F.: Optimal retailer’s ordering policies in the EOQ model under trade credit financing. J. Oper. Res. Soc. 54, 1011–1015 (2003)

    Article  Google Scholar 

  13. Huang Y.F.: retailer’s replenishment policy for the EPQ model under the supplier’s trade credit policy. Prod. Plan. Control 15, 27–33 (2004)

    Article  Google Scholar 

  14. Huang Y.F.: Economic order quantity under conditionally permissible delay in payments. J. Oper. Res. Soc. 176, 911–924 (2007)

    Article  Google Scholar 

  15. Huang Y.F., Hsu K.H.: An EOQ model under retailer partial trade credit policy in supply chain. Int. J. Prod. Eco. 112, 655–664 (2008)

    Article  Google Scholar 

  16. Hwang H., Shinn S.W.: Retailer’s pricing and lot sizing policy for exponentially deteriorating products under the condition of permissible delay in payments. Comput. Oper. Res. 24, 539–547 (1997)

    Article  Google Scholar 

  17. Jaggi C.K., Goyal S.K., Goel S.K.: Retailer’s optimal replenishment decisions with credit-linked demand under permissible delay in payments. Eur. J. Oper. Res. 190, 130–135 (2008)

    Article  Google Scholar 

  18. Jamal A.M.M., Sarker B.R., Wang S.: An ordering policy for deteriorating items with allowable shortages and permissible delay in payment. J. Oper. Res. Soc. 48, 826–833 (1997)

    Google Scholar 

  19. Jaruphongsa W., Lee C.Y.: Dynamic lot-sizing problem with demand time windows and container-based transportation cost. Optim. Lett. 2(1), 39–51 (2008)

    Article  Google Scholar 

  20. Liao H.C., Tsai C.H., Su C.T.: An inventory model with deteriorating items under inflation when a delay in payment is permissible. Int. J. Prod. Econ. 63, 207–214 (2000)

    Article  Google Scholar 

  21. Migdalas A., Baourakis G., Pardalos P.M.: Supply Chain and Finance. World Scientific, Singapore (2004)

    Google Scholar 

  22. Ouyang L.Y., Chang C.T., Teng J.T.: An EOQ model for deteriorating items under trade credits. J. Oper. Res. Soc. 56, 719–726 (2005)

    Article  Google Scholar 

  23. Ouyang L.Y., Teng J.T., Chen L.H.: Optimal ordering policy for deteriorating items with partial backlogging under permissible delay in payments. J. Glob. Optim. 34, 245–271 (2006)

    Article  Google Scholar 

  24. Pardalos P.M., Tsitsiringos V.: Financial Engineering, Supply Chain and E-commerce. Kluwer, Boston (2002)

    Google Scholar 

  25. Shah N.H.: Probabilistic time-scheduling model for an exponentially decaying inventory when delay in payment is permissible. Int. J. Prod. Econ. 32, 77–82 (1993)

    Article  Google Scholar 

  26. Sharma S.: A composite model in the context of a production-inventory system. Optim. Lett. 3(2), 239–251 (2009)

    Article  Google Scholar 

  27. Shinn S.W., Hwang H.: Optimal pricing and ordering policies for retailers under order-size dependent delay in payments. Comput. Oper. Res. 30, 35–50 (2003)

    Article  Google Scholar 

  28. Teng J.T.: On the economic order quantity under conditions of permissible delay in payments. J. Oper. Res. Soc. 53, 915–918 (2002)

    Article  Google Scholar 

  29. Teng J.T., Chang C.T.: Optimal manufacturer’s replenishment policies in the EPQ model under two levels of trade credit policy. Eur. J. Oper. Res. 195, 358–363 (2009)

    Article  Google Scholar 

  30. Teng J.T., Chang C.T., Chern M.S., Chan Y.L.: Retailer’s optimal ordering policies in the EOQ models with trade credit financing. Int. J. Syst. Sci. 38, 269–278 (2007)

    Article  Google Scholar 

  31. Teng J.T., Chang C.T., Goyal S.K.: Optimal pricing and ordering policy under permissible delay in payments. Int. J. Prod. Econ. 97, 121–129 (2005)

    Article  Google Scholar 

  32. Teng J.T., Goyal S.K.: Optimal ordering policies for a retailer in a supply chain with up-stream and down-stream trade credits. J. Oper. Res. Soc. 58, 1252–1255 (2007)

    Article  Google Scholar 

  33. Teng J.T., Ouyang L.Y., Chen L.H.: Optimal manufacturer’s pricing and lot-sizing policies under trade credit financing. Int. Trans. Oper. Res. 13, 515–528 (2006)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Jinn-Tsair Teng.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Teng, JT., Lou, KR. Seller’s optimal credit period and replenishment time in a supply chain with up-stream and down-stream trade credits. J Glob Optim 53, 417–430 (2012). https://doi.org/10.1007/s10898-011-9720-3

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10898-011-9720-3

Keywords

Navigation