How to cite this paper
Shah, N & Naik, M. (2019). Optimal replenishment and pricing policies for deteriorating items with quadratic demand under trade credit, quantity discounts and cash discounts.Uncertain Supply Chain Management, 7(3), 439-456.
Refrences
Abad, P. L., and 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, 83(2), 115–122.
Aggarwal S. P., and Jaggi C. K. (1995). Ordering policies of deteriorating items under permissible delay in payments. Journal of the Operational Research Society, 46(5), 658-662.
Arcelus F.J., Shah N. H., and Srinivasan G. (2003). Retailer’s pricing, credit and inventory policies for deteriorating items in response to temporary price/credit incentives. International Journal of Production Economic, 81(1), 153–162.
Bose, S., Goswami, A. and Chaudhuri, K.S. (1995). An EOQ model for deteriorating items with linear time dependent demand rate and shortages under inflation and time discounting. Journal of the Operational Research Society, 46(6), 771–782.
Chang, C. T. (2004). An EOQ model with deteriorating items under inflation when supplier credits linked to order quantity. International Journal of Production Economics, 88(3), 307–316.
Chang, C. T., and Teng, J.T. (2004). Retailer’s optimal ordering policy under supplier credits. Mathematical Methods of Operation Research, 60(3), 471–483.
Chung, K. J., and Liao, J. J. (2004). Lot-sizing decisions under trade credit depending on the ordering quantity. Computer & Operations Research, 31(6), 909–928.
Chung, K. J., (2010). The complete proof on the optimal ordering policy under cash discount and trade credit. International Journal of System Science, 41(4), 467–475.
Chung, K.J., and Ting, P.S. (1993). A heuristic for replenishment of deteriorating items with a linear trend in demand. Journal of the Operational Research Society, 44(12), 1235–1241.
Chung, K.J., and Ting, P.S. (1994). On replenishment schedule for deteriorating items with time proportional demand. Production Planning and Control, 5(4), 392–396.
Chung, K. J., Liao J. J., Ting P. S., Lin S. D., and Srivastava H. M., (2017). A unified presentation of inventory models under quantity discounts, trade credits and cash discounts in the supply chain management, Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Mathematicas, 29, 1-30.
Dolan, R. J. (1987). Quantity discounts: managerial issues and research opportunities. Marketing Science, 6(1), 1–22.
Goyal S. K., (1985). Economic order quantity under conditions of permissible delay in payments. Journal of the Operational Research Society, 36(4), 335-338.
Hariga, M. (1995). An EOQ model for deteriorating items with shortages and time-varying demand. Journal of the Operational Research Society. 46(4), 398–404.
Haley, C. W. and Higgins, R. C. (1973). Inventory policy and trade credit financing. Management Science. 20(4), 464-471.
Hill, N., Riener, K. (1979). Determining the cash discount in the firm’s credit policy. Financial Management, 8(4), 68–73.
Ho, C. H.I., Ouyang, L.Y., Su, C. H. (2008). Optimal pricing, shipment and payment policy for an integrated supplier-buyer inventory model with two-part trade credit. European Journal of Operational Research, 187(2), 496–510.
Huang, Y. F. (2003). Optimal retailer’s ordering policies in the EOQ model under trade credit financing. Journal of Operational Research Society, 54(9), 1011–1015.
Huang, Y. F. (2005). Buyer’s optimal ordering policy and payment policy under supplier credit. International Journal of System Sciences, 36(13), 801–807.
Huang, Y. F. (2006). An inventory model under two-levels of trade credit and limited storage space derived without derivatives. Applied Mathematical Modelling, 30(5), 418–436.
Huang, Y. F., and Chung, K. J. (2003). Optimal replenishment and payment policies in the EOQ model under cash discount and trade credit. Asia Pacific Journal of Operational Research, 20(2), 177–190.
Huang, Y. F. and Hsu, K. H. (2007). An EOQ model with non-instantaneous receipt under supplier credits. Journal of Operational Research Society of Japan, 50(1), 1–13.
Jamal, A. M. M., Sarker B. R. and Wang, S. (2000). Optimal payment time for a retailer under permitted delay of payment by the wholesaler. International Journal of Production Economics 66(1), 59–66.
Kingsman B. G. (1983). The effect of payment rules on ordering and stocking in purchasing, Journal of the Operational Research Society, 34(11), 1085-1098.
Kreng V. B. and Tan S. J. (2010). The optimal replenishment decisions under two levels of trade credit policy depending on the order quantity. Expert Systems with Applications 37(7), 5514–5522.
Lee, Y.P. and Dye, C.Y. (2012). An inventory model for deteriorating items under stock-dependent demand and controllable deterioration rate. Computers and Industrial Engineering, 63(2), 474-482.
Lin, C., Tan, B. and Lee, W.C. (2000). An EOQ model for deteriorating items with time-varying demand and shortages. International Journal of Systems Science, 31(3), 394–400.
Lin, Y. J., Ouyang, L.Y. and Dang, Y. F. (2012). A joint optimal ordering and delivery policy for an integrated supplier-retailer inventory model with trade credit and defective items. Applied Mathematics and Computation, 218(14), 7498-7514.
Mahata, G. C. (2012), An EPQ-based inventory model for exponentially deteriorating items under retailer partial trade credit policy in supply chain. Expert Systems with Applications, 39(3), 3537–3550.
Mahata, G. C. and Goswami A. (2006). Production lot-size model with fuzzy production rate and fuzzy demand rate for deteriorating item under permissible delay in payments. Opsearch 43(4), 358–375.
Mahata, G. C. and Goswami A. (2007). An EOQ model for deteriorating items under trade credit financing in the fuzzy sense. Production Planning and Control, 18(8), 681–692.
Mahata, G. C. and Mahata P. (2011). Analysis of a fuzzy economic order quantity model for deteriorating items under retailer partial trade credit financing in a supply chain. Mathematical and Computer Modelling, 53(9-10), 1621–1636.
Mehta, N.J. and Shah, N.H. (2003). An inventory model for deteriorating items with exponentially increasing demand shortages under inflation and time discounting. Investigacao Operacional, 23(1), 103–111.
Mehta, N.J., and Shah, N.H. (2004). An inventory model for deteriorating items with exponentially decreasing demand shortages under inflation and time discounting. Industrial Engineering Journal, 33(4), 19–23.
Min, J. and Zhou, Y. W. (2009). A perishable inventory model under stock-dependent selling rate and shortage-dependent partial backlogging with capacity constraint, International Journal of Systems Science, 40(1), 33-44.
Mishra V. K., Singh L. S., Kumar R. (2013). An inventory model for deteriorating items with time-dependent demand and time varying holding cost under partial backlogging. Journal of Industrial Engineering International, 9(4), 1–5.
Ouyang, L.Y., Teng, J.T., Chuang, K.W. and Chuang, B.R. (2005). Optimal inventory policy with non-instantaneous receipt under trade credit. International Journal of Production Economics, 98(3), 290–300.
Sana, S.S., Chaudhuri, K.S. (2008). A deterministic EOQ model with delays in payments and price-discount offers. European Journal of Operation Research, 184(2), 509–533.
Shah N. H., Shah Y. K. (1998). A discrete-in-time probabilistic inventory model for deteriorating items under conditions of permissible delay in payments. International Journal of Systems Science, 29(2), 121–126.
Shah, N.H., Gor, A.S., and Jhaveri, C. (2009). Integrated optimal solution for variable deteriorating inventory system of vendor-buyer when demand is quadratic. Canadian Journal of Pure and Applied Sciences, 3(1), 713–717.
Shah, N.H., and Shah, B.J. (2014). EPQ model for time-declining demand with imperfect production process under inflationary conditions and reliability. International Journal of Operations Research, 11(3), 91–99.
Silver, E.A. and Meal, H.C. (1969). A simple modification of the EOQ for the case of a varying demand rate. Production and Inventory Management, 10(4), 52–65.
Silver, E.A. (1979). A simple inventory replenishment decision rule for a linear trend in demand. Journal of the Operational Research Society, 30(1), 71–75.
Teng, J. T., Chang, C. T., and Goyal, S. K. (2005). Optimal pricing and ordering policy under permissible delay in payments. International Journal of Production Economics, 97(2), 121–129.
Yang, H. L., Teng, J.T., and Chern, M. S. (2010). An inventory model under inflation for deteriorating items with stock-dependent consumption rate and partial backlogging shortages. International Journal of Production Economics, 123(1), 8-19.
Yang, C. T. (2010). The optimal order and payment policies for deteriorating items in discount cash flows analysis under the alternatives of conditionally permissible delay in payments and cash discount. TOP, 18(2), 429–443.
Aggarwal S. P., and Jaggi C. K. (1995). Ordering policies of deteriorating items under permissible delay in payments. Journal of the Operational Research Society, 46(5), 658-662.
Arcelus F.J., Shah N. H., and Srinivasan G. (2003). Retailer’s pricing, credit and inventory policies for deteriorating items in response to temporary price/credit incentives. International Journal of Production Economic, 81(1), 153–162.
Bose, S., Goswami, A. and Chaudhuri, K.S. (1995). An EOQ model for deteriorating items with linear time dependent demand rate and shortages under inflation and time discounting. Journal of the Operational Research Society, 46(6), 771–782.
Chang, C. T. (2004). An EOQ model with deteriorating items under inflation when supplier credits linked to order quantity. International Journal of Production Economics, 88(3), 307–316.
Chang, C. T., and Teng, J.T. (2004). Retailer’s optimal ordering policy under supplier credits. Mathematical Methods of Operation Research, 60(3), 471–483.
Chung, K. J., and Liao, J. J. (2004). Lot-sizing decisions under trade credit depending on the ordering quantity. Computer & Operations Research, 31(6), 909–928.
Chung, K. J., (2010). The complete proof on the optimal ordering policy under cash discount and trade credit. International Journal of System Science, 41(4), 467–475.
Chung, K.J., and Ting, P.S. (1993). A heuristic for replenishment of deteriorating items with a linear trend in demand. Journal of the Operational Research Society, 44(12), 1235–1241.
Chung, K.J., and Ting, P.S. (1994). On replenishment schedule for deteriorating items with time proportional demand. Production Planning and Control, 5(4), 392–396.
Chung, K. J., Liao J. J., Ting P. S., Lin S. D., and Srivastava H. M., (2017). A unified presentation of inventory models under quantity discounts, trade credits and cash discounts in the supply chain management, Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Mathematicas, 29, 1-30.
Dolan, R. J. (1987). Quantity discounts: managerial issues and research opportunities. Marketing Science, 6(1), 1–22.
Goyal S. K., (1985). Economic order quantity under conditions of permissible delay in payments. Journal of the Operational Research Society, 36(4), 335-338.
Hariga, M. (1995). An EOQ model for deteriorating items with shortages and time-varying demand. Journal of the Operational Research Society. 46(4), 398–404.
Haley, C. W. and Higgins, R. C. (1973). Inventory policy and trade credit financing. Management Science. 20(4), 464-471.
Hill, N., Riener, K. (1979). Determining the cash discount in the firm’s credit policy. Financial Management, 8(4), 68–73.
Ho, C. H.I., Ouyang, L.Y., Su, C. H. (2008). Optimal pricing, shipment and payment policy for an integrated supplier-buyer inventory model with two-part trade credit. European Journal of Operational Research, 187(2), 496–510.
Huang, Y. F. (2003). Optimal retailer’s ordering policies in the EOQ model under trade credit financing. Journal of Operational Research Society, 54(9), 1011–1015.
Huang, Y. F. (2005). Buyer’s optimal ordering policy and payment policy under supplier credit. International Journal of System Sciences, 36(13), 801–807.
Huang, Y. F. (2006). An inventory model under two-levels of trade credit and limited storage space derived without derivatives. Applied Mathematical Modelling, 30(5), 418–436.
Huang, Y. F., and Chung, K. J. (2003). Optimal replenishment and payment policies in the EOQ model under cash discount and trade credit. Asia Pacific Journal of Operational Research, 20(2), 177–190.
Huang, Y. F. and Hsu, K. H. (2007). An EOQ model with non-instantaneous receipt under supplier credits. Journal of Operational Research Society of Japan, 50(1), 1–13.
Jamal, A. M. M., Sarker B. R. and Wang, S. (2000). Optimal payment time for a retailer under permitted delay of payment by the wholesaler. International Journal of Production Economics 66(1), 59–66.
Kingsman B. G. (1983). The effect of payment rules on ordering and stocking in purchasing, Journal of the Operational Research Society, 34(11), 1085-1098.
Kreng V. B. and Tan S. J. (2010). The optimal replenishment decisions under two levels of trade credit policy depending on the order quantity. Expert Systems with Applications 37(7), 5514–5522.
Lee, Y.P. and Dye, C.Y. (2012). An inventory model for deteriorating items under stock-dependent demand and controllable deterioration rate. Computers and Industrial Engineering, 63(2), 474-482.
Lin, C., Tan, B. and Lee, W.C. (2000). An EOQ model for deteriorating items with time-varying demand and shortages. International Journal of Systems Science, 31(3), 394–400.
Lin, Y. J., Ouyang, L.Y. and Dang, Y. F. (2012). A joint optimal ordering and delivery policy for an integrated supplier-retailer inventory model with trade credit and defective items. Applied Mathematics and Computation, 218(14), 7498-7514.
Mahata, G. C. (2012), An EPQ-based inventory model for exponentially deteriorating items under retailer partial trade credit policy in supply chain. Expert Systems with Applications, 39(3), 3537–3550.
Mahata, G. C. and Goswami A. (2006). Production lot-size model with fuzzy production rate and fuzzy demand rate for deteriorating item under permissible delay in payments. Opsearch 43(4), 358–375.
Mahata, G. C. and Goswami A. (2007). An EOQ model for deteriorating items under trade credit financing in the fuzzy sense. Production Planning and Control, 18(8), 681–692.
Mahata, G. C. and Mahata P. (2011). Analysis of a fuzzy economic order quantity model for deteriorating items under retailer partial trade credit financing in a supply chain. Mathematical and Computer Modelling, 53(9-10), 1621–1636.
Mehta, N.J. and Shah, N.H. (2003). An inventory model for deteriorating items with exponentially increasing demand shortages under inflation and time discounting. Investigacao Operacional, 23(1), 103–111.
Mehta, N.J., and Shah, N.H. (2004). An inventory model for deteriorating items with exponentially decreasing demand shortages under inflation and time discounting. Industrial Engineering Journal, 33(4), 19–23.
Min, J. and Zhou, Y. W. (2009). A perishable inventory model under stock-dependent selling rate and shortage-dependent partial backlogging with capacity constraint, International Journal of Systems Science, 40(1), 33-44.
Mishra V. K., Singh L. S., Kumar R. (2013). An inventory model for deteriorating items with time-dependent demand and time varying holding cost under partial backlogging. Journal of Industrial Engineering International, 9(4), 1–5.
Ouyang, L.Y., Teng, J.T., Chuang, K.W. and Chuang, B.R. (2005). Optimal inventory policy with non-instantaneous receipt under trade credit. International Journal of Production Economics, 98(3), 290–300.
Sana, S.S., Chaudhuri, K.S. (2008). A deterministic EOQ model with delays in payments and price-discount offers. European Journal of Operation Research, 184(2), 509–533.
Shah N. H., Shah Y. K. (1998). A discrete-in-time probabilistic inventory model for deteriorating items under conditions of permissible delay in payments. International Journal of Systems Science, 29(2), 121–126.
Shah, N.H., Gor, A.S., and Jhaveri, C. (2009). Integrated optimal solution for variable deteriorating inventory system of vendor-buyer when demand is quadratic. Canadian Journal of Pure and Applied Sciences, 3(1), 713–717.
Shah, N.H., and Shah, B.J. (2014). EPQ model for time-declining demand with imperfect production process under inflationary conditions and reliability. International Journal of Operations Research, 11(3), 91–99.
Silver, E.A. and Meal, H.C. (1969). A simple modification of the EOQ for the case of a varying demand rate. Production and Inventory Management, 10(4), 52–65.
Silver, E.A. (1979). A simple inventory replenishment decision rule for a linear trend in demand. Journal of the Operational Research Society, 30(1), 71–75.
Teng, J. T., Chang, C. T., and Goyal, S. K. (2005). Optimal pricing and ordering policy under permissible delay in payments. International Journal of Production Economics, 97(2), 121–129.
Yang, H. L., Teng, J.T., and Chern, M. S. (2010). An inventory model under inflation for deteriorating items with stock-dependent consumption rate and partial backlogging shortages. International Journal of Production Economics, 123(1), 8-19.
Yang, C. T. (2010). The optimal order and payment policies for deteriorating items in discount cash flows analysis under the alternatives of conditionally permissible delay in payments and cash discount. TOP, 18(2), 429–443.