Optimal pricing and lot-sizing decisions under Weibull distribution deterioration and trade credit policy
DOI:
https://doi.org/10.2298/YJOR0802221MKeywords:
retail price, lot-size, inventory managementAbstract
In this paper, we consider the problem of simultaneous determination of retail price and lot-size (RPLS) under the assumption that the supplier offers a fixed credit period to the retailer. It is assumed that the item in stock deteriorates over time at a rate that follows a two-parameter Weibull distribution and that the price-dependent demand is represented by a constant-price-elasticity function of retail price. The RPLS decision model is developed and solved analytically. Results are illustrated with the help of a base example. Computational results show that the supplier earns more profits when the credit period is greater than the replenishment cycle length. Sensitivity analysis of the solution to changes in the value of input parameters of the base example is also discussed.References
Abad, P.L., “Determining optimal selling price and lot-size when the supplier offers all-unit quantity discounts”, Decision Science, 19 (1988) 622-634.
Abad, P.L., “Joint price and lot-size determination when the supplier offers incremental quantity discounts”. Journal of the Operational Research Society, 39 (1988) 603-607.
Aggarwal, S.P., and Jaggi, C.K., “Credit financing in economic ordering policies of deteriorating items”. International Journal of Production Economics, 34 (1994) 151-155.
Barrotoni, J.N., “Practical applications of Weibull distribution”, ASQC Technical Conference Transactions, 1962, 303-323.
Ben-Horim, M., and Levy, H., “Inflation and a trade credit period”. Management Science, 28(6) (1982) 646-651.
Chapman, C.B., Ward, S.C., Cooper, D.F., and Page, M.J., “Credit policy and inventory control.” Journal of the Operational Research Society, 35 (1984) 1055-1065.
Chung, K.H., “Inventory control and trade-credit revisited”, Journal of the Operational Research Society, 4(5) (1989) 495-498.
Cohen, M.A., “Joint pricing and ordering policy for exponentially decaying inventory with known demand”. Naval Research Logistics Quarterly, 24 (1977) 257-268.
Covert, R.P., and Philip, G.C., “An EOQ model for items with Weibull distribution deterioration”. AIIE Transactions, 5 (1973) 323-326.
Ghare, P.M., and Schrader, G.F., “A model for an exponential decaying inventory”, Journal of Industrial Engineering, 14 (1963) 238-243.
Goyal, S.K., “Economic order quantity under conditions of permissible delay in payments”. Journal of the Operational Research Society, 36 (1985) 335-338.
Haley, C.W., and Higgins, R.C., “Inventory policy and trade credit financing”. Management Science, 20 (1973) 464-471.
Hariga, M.A., “Lot-sizing models for deteriorating items with time-dependent demand”. International Journal of Systems Science, 26 (1995) 2391-2401.
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.
Hwang, H., and Shinn, S.H., “Retailer's pricing and lot-sizing policy for exponentially deteriorating products under the condition of permissible delay in payments”. Computers and Operations Research, 24(6) (1997) 539-547.
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.
Kim, J.S., Hwang, H., and Shinn, S.W., “An optimal credit policy to increase supplier's profits with price dependent demand functions”. Production Planning and Control, 6 (1995) 45-50.
Kingsman, B.G., “The effect of payment rule on ordering and stock holding in purchasing”. Journal of the Operational Research Society, 34 (1983) 1085-1098.
Kunreuther, H. and Richard, J.F., “Optimal pricing and inventory decisions for non-seasonal items”. Econometrica, 39, (1971), 173-175.
Kunreuther, H., and Schrage, L., “Joint pricing and inventory decisions for constant priced items”, Management Science, 19 (1973) 732-738.
Ladany, S. and Sternlieb, A., “The interaction of economic ordering quantities and marketing policies”, AIIE Transactions, 6 (1974) 35-40.
Lee, W.J., “Determining order quantity and selling price by geometric programming: optimal solution, bounds, and sensitivity”, Decision Science, 24 (1993) 76-87.
Ouyang, L.Y., Chang, C.T., and Teng, J.T., “An EOQ model for deteriorating items under trade credits”. Journal of the Operational Research Society, 56 (2005) 719-726.
Sarker, B. R., Jamal, A.M.M., and Wang, S., “Optimal payment time under permissible delay in payment for products with deterioration”, Production Planning and Control, 11 (2000) 380-390.
Shah, Y.K., and Jha, P.J., “A single period stochastic inventory model under the influence of marketing policies”. Journal of the Operational Research Society, 42 (1991) 173-176.
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.
Ward, S.C., and Chapman, C.B., “Inventory control and trade credit - A reply to Daellenbach”, Journal of the Operational Research Society, 38 (1987) 1081-1084.
You, P.S., “Inventory policy for products with price and time-dependent demands”, Journal of the Operational Research Society, 56 (2005) 870-873.
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