DOI QR코드

DOI QR Code

Sensitivity Analysis of JLSP Inventory Model with Ordering Cost inclusive of a Freight Cost under Trade Credit in a Two-stage Supply Chain

  • Shinn, Seong-Whan (Department of Advanced Materials & Chemical Engineering, Halla University)
  • Received : 2020.07.27
  • Accepted : 2020.08.30
  • Published : 2020.09.30

Abstract

This study analyzes the distributor's inventory model in a two-stage supply chain consisting of the supplier, the distributor and the end customer. The supplier will allow a credit period before the distributor settles the account with him in order to stimulate the demand for the product he produces. It is also assumed that the distributor pays the shipping cost for the order and hence, the distributor's ordering cost consists of a fixed ordering cost and the shipping cost that depend on the order quantity. The availability of the delay in payments from the supplier enables discount of the distributor's selling price from a wider range of the price option in anticipation of increased customer's demand. As a result, the availability of a credit transaction leads to an increase in inventory levels. On the other hand, in the case of deteriorating products in which the utility of the product perish over time, the deterioration rate with time plays a role in reducing inventory levels. In this regard, we analyze the effect of the length of the credit period and the degree of product deterioration on the distributor's inventory level. For the analysis, we formulate the distributor's annual net profit and analyze the effect of the length of credit period and deterioration rate of the product on inventory policy numerically.

Keywords

References

  1. S. K. Goyal, "Economic order quantity under conditions of permissible delay in payments," Journal of Operational Research Society, Vol.36, No.4, pp.335-338, 1985. https://doi.org/10.1057/jors.1985.56
  2. K. J. Chung, "A theorem on the determination of economic order quantity under conditions of permissible delay in payments," Computers & Operations Research. Vol.25, No.1, pp.49-52, 1998. https://doi.org/10.1016/S0305-0548(98)80007-5
  3. J. T. Teng, C. T. Chang, M. S. Chern and Y. L. Chan, "Retailer's optimal ordering policies with trade credit financing," International Journal of Systems Science, Vol.38, No.3, pp.269-278, 2007. https://doi.org/10.1080/00207720601158060
  4. D. Mehta, "The formulation of credit policy models," Management Science, Vol.15, pp.B30-B50, 1968. https://doi.org/10.1287/mnsc.15.2.B30
  5. H. C. Chang, C. H. Ho, L. Y. Ouyang and C. H. Su, "The optimal pricing and ordering policy for an integrated inventory model when trade credit linked to order quantity," Applied Mathematical Modeling, Vol. 33, pp.2978-2991, 2009. https://doi.org/10.1016/j.apm.2008.10.007
  6. C. Y. Dye and L. Y. Ouyang, "A particle swarm optimization for solving joint pricing and lot-sizing problem with fluctuating demand and trade credit financing," Computers & Industrial Engineering, Vol.60, pp.127-137, 2011. https://doi.org/10.1016/j.cie.2010.10.010
  7. L. Y. Ouyang, C. H. Ho, and C. H. Su, "An optimization approach for joint pricing and ordering problem in an integrated inventory system with order-size dependent trade credit," Computers & Industrial Engineering, Vol.57, pp.920-930, 2009. https://doi.org/10.1016/j.cie.2009.03.011
  8. T. Avinadav, A. Herbon and U. Spiegel, "Optimal ordering and pricing policy for demand functions that are separable into price and inventory age," International Journal of Production Economics, Vol.155, pp.406-417, 2014. https://doi.org/10.1016/j.ijpe.2013.12.002
  9. J. Shi, R. Y. K. Fung and J. Guo, "Optimal ordering and pricing policies for seasonal products: Impacts of demand uncertainty and capital constraint," Discrete Dynamics in Nature and Society, Vol. 2016, Article ID 1801658, pp. 1-13, 2016.
  10. M. A. Cohen, "Joint pricing and ordering policy for exponentially decaying inventory with known demand," Naval Research Logistics Quarterly, Vol. 24, pp.257-268, 1977. https://doi.org/10.1002/nav.3800240205
  11. Y. C. Tsao and G. J. Sheen, "Joint pricing and replenishment decisions for deteriorating items with lotsize and time-dependent purchasing cost under credit period," International Journal of Systems Science, Vol. 38, No.7, pp.549 -561, 2007. https://doi.org/10.1080/00207720701431144
  12. D. C. Aucamp, "Nonlinear freight costs in the EOQ problem," European Journal of Operational Research. Vol. 9, pp. 61-63, 1982. https://doi.org/10.1016/0377-2217(82)90011-X
  13. C. Y. Lee, "The economic order quantity for freight discount costs," IIE Transactions, Vol. 18, pp. 318-320, 1986. https://doi.org/10.1080/07408178608974710
  14. S. W. Shinn "Distributor's Lot-sizing and Pricing Policy with Ordering Cost inclusive of a Freight Cost under Trade Credit in a Two-stage Supply Chain," International Journal of Advanced Culture Technology, Vol. 8 No. 1, pp. 62-70, 2020. https://doi.org/10.17703//IJACT2020.8.1.62.
  15. S. W. Shinn "Joint Price and Lot-size Determination for Decaying items with Ordering Cost inclusive of a Freight Cost under Trade Credit in a Two-stage Supply Chain," The Journal of the Convergence on Culture Technology, Vol. 6 No. 2, pp.151-162, 2020. https://dx.doi.org/10.17703//JCCT2019.5.1.