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Supply chain model for the retailer’s ordering policy under two levels of delay payments derived algebraically

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Abstract

The main purpose of this note is to investigate Huang’s model (2003) and extend Huang’s model (2003) by considering the selling price per item higher than the purchasing cost per item to determine the optimal ordering policy for the retailer under two levels of delay payments. Then, an algebraic approach is provided and an easy-to-use procedure developed to find the optimal ordering policy for the retailer. Finally, a numerical example is given to illustrate the theoretical results.

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References

  1. Chung, K.J. and Huang, Y.F., “The optimal cycle time for EPQ inventory model under permissible delay in payments”, International Journal of Production Economics, 84 (2003) 307–318.

    Article  Google Scholar 

  2. Huang, Y.F., “Optimal retailer’s ordering policies in the EOQ model under trade credit financing”, Journal of the Operational Research Society, 54 (2003) 1011–1015.

    Article  Google Scholar 

  3. Huang, Y.F. and Chung, K.J., “Optimal replenishment and payment policies in the EOQ model under cash discount and trade credit”, Asia-Pacific Journal of Operational Research, 20 (2003) 177–190.

    Google Scholar 

  4. Shinn, S.W. and Hwang, H., “Optimal pricing and ordering policies for retailers under order-size-dependent delay in payments”, Computers and Operations Research, 30 (2003) 35–50.

    Article  Google Scholar 

  5. Teng, J.T., “On the economic order quantity under conditions of permissible delay in payments”, Journal of the Operational Research Society, 53 (2002) 915–918.

    Article  Google Scholar 

  6. Cárdenas-Barrón, L.E., “The economic production quantity (EPQ) with shortage derived algebraically”, International Journal of Production Economics, 70 (2001) 289–292.

    Article  Google Scholar 

  7. Chang, H.J. and Dye, C.Y., “An inventory model for deteriorating items with partial backlogging and permissible delay in payments”, International Journal of Systems Science, 32 (2001) 345–352.

    Article  Google Scholar 

  8. Chang, H.J., Hung, C.H. and Dye, C.Y., “An inventory model for deteriorating items with linear trend demand under the condition of permissible delay in payments”, Production Planning & Control, 12 (2001) 274–282.

    Article  Google Scholar 

  9. Jamal, A.M.M., Sarker, B.R. and Wang, S., “Optimal payment time for a retailer under permitted delay of payment by the wholesaler”, International Journal of Production Economics, 66 (2000) 59–66.

    Article  Google Scholar 

  10. Liao, H.C., Tsai, C.H. and Su, C.T., “An inventory model with deteriorating items under inflation when a delay in payment is permissible”, International Journal of Production Economics, 63 (2000) 207–214.

    Article  Google Scholar 

  11. Sarker, B.R., Jamal, A.M.M. and Wang, S., “Supply chain model for perishable products under inflation and permissible delay in payment”, Computers and Operations Research, 27 (2000) 59–75.

    Article  Google Scholar 

  12. Sarker, B.R., Jamal, A.M.M. and Wang, S., “Optimal payment time under permissible delay in payment for products with deterioration”, Production Planning & Control, 11 (2000) 380–390.

    Article  Google Scholar 

  13. Grubbström, R.W. and Erdem, A., “The EOQ with backlogging derived without derivatives”, International Journal of Production Economics, 59 (1999) 529–530.

    Article  Google Scholar 

  14. Chung, K.J., “A theorem on the determination of economic order quantity under conditions of permissible delay in payments”, Computers and Operations Research, 25 (1998) 49–52.

    Article  Google Scholar 

  15. Hwang, H. and Shinn, S.W., “Retailer’s pricing and lot sizing policy for exponentially deteriorating products under the condition of permissible delay in payments”, Computers and Operations Research, 24 (1997) 539–547.

    Article  Google Scholar 

  16. Jamal, A.M.M., Sarker, B.R. and Wang, S., “An ordering policy for deteriorating items with allowable shortages and permissible delay in payment”, Journal of the Operational Research Society, 48 (1997) 826–833.

    Article  Google Scholar 

  17. Aggarwal, S.P. and Jaggi, C.K., “Ordering policies of deteriorating items under permissible delay in payments”, Journal of the Operational Research Society, 46 (1995) 658–662.

    Article  Google Scholar 

  18. Goyal, S.K., “Economic order quantity under conditions of permissible delay in payments”, Journal of the Operational Research Society, 36 (1985) 35–38.

    Article  Google Scholar 

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Correspondence to Yung-Fu Huang.

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Huang, YF. Supply chain model for the retailer’s ordering policy under two levels of delay payments derived algebraically. OPSEARCH 44, 366–377 (2007). https://doi.org/10.1007/BF03398800

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  • DOI: https://doi.org/10.1007/BF03398800

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