How to cite this paper
Shastri, A., Singh, S & Gupta, S. (2015). Supply chain management under the effect of trade credit for deteriorating items with ramp-type demand and partial backordering under inflationary environment.Uncertain Supply Chain Management, 3(4), 339-362.
Refrences
Abad, P.L. (1996). Optimal pricing and lot sizing under conditions of perishability and partial backordering. Management Science, 42, 1093–1104.
Agrawal, S., & Banerjee, S. (2011). Two-warehouse inventory model with ramp type demand and partially backlogged shortages. International Journal of Systems Science, 42(7), 1115-1126.
Alfares, H.K. (2007). Inventory model with stock-level dependent demand rate and variable holding cost. International Journal of Production Economics, 108(1-2), 259–265.
Buzacott, J.A. (1975). Economic order quantities with inflation. Operational Research Quarterly, 26, 553–558.
Chang, H.J., & Dye, C.Y. (1999). An EOQ model for deteriorating items with time varying demand and partial backlogging. Journal of the Operational Research Society, 50, 1176–1182.
Chen, J.M. (1998). An inventory model for deteriorating items with time-proportional demand and shortages under inflation and time discounting. International Journal of Production Economics, 55, 21–30.
Chung, K.J., & Lin, C.N. (2001). Optimal inventory replenishment models for deteriorating items taking account of time discounting. Computers & Operations Research, 28, 67–83.
Covert, R.P., & Philip, G.C. (1973). An EOQ model for items with Weibull distribution deterioration. AIIE Transaction, 5, 323–326.
Datta, T.K., & Pal, A.K. (1988). Order level inventory system with power demand pattern for items with variable rate of deterioration. Indian Journal of Pure and Applied Mathematics, 19(11), 1043–1053.
Datta, T.K., & Pal, A.K. (1991). Effects on inflation and time value of money on an inventory model with linear time dependent demand rate and shortages. European Journal of Operational Research, 52, 326–333.
Dave, U., & Patel, L.K. (1981). (T,Si) policy inventory model for deteriorating items with time proportional demand. Journal of the Operational Research Society, 32, 137–142.
Deng, P.S., Lin, R.H.-J., & Chu, P. (2007). A note on the inventory models for deteriorating items with ramp type demand rate. European Journal of Operational Research, 178, 112–120.
Donaldson, W.A. (1977). Inventory replenishment policy for a linear trend in demand: An analytic solution. Operational Research Quarterly, 28, 663–670.
Ferguson, M., Hayaraman, V., & Souza, G.C. (2007). Note: An application of the EOQ model with nonlinear holding cost to inventory management of perishables. European Journal of Operational Research, 180(1), 485–490.
Ghare, P.M., & Schrader, G.F. (1963). A model for exponentially decaying inventories. Journal of Industrial Engineering, 14, 238–243.
Giri, B.C., Jalan, A.K., & Chaudhuri, K.S. (2003). Economic order quantity model with Weibull deterioration distribution, shortage and ramp-type demand. International Journal of Systems Science, 34(4), 237–243.
Goswami, A., & Chaudhuri, K.S. (1991). An EOQ model for deteriorating items with shortages and a linear trend in demand. Journal of the Operation Research Society, 42, 1105–1110.
Goyal, S.K. (1987). Economic ordering policy for deteriorating items over an infinite time horizon. European Journal of Operational Research, 28, 298–301.
Goyal, S.K., & Giri, B.C. (2001). Recent trends in modeling of deteriorating inventory. European Journal of Operational Research, 134, 1–16.
Hariga, M. (1996). Optimal EOQ models for deteriorating items with time-varying demand. Journal of the Operational Research Society, 47, 1228–1246.
Hariga, M.A. (1995). Effects of inflation and time value of money on an inventory model with time-varying demand rate and shortages. European Journal of Operational Research, 81, 512–520.
Hariga, M.A., & Ben-Daya, M. (1996). Optimal time varying lot-sizing models under inflationary conditions. European Journal of Operational Research, 89, 313–325.
Hill, R.M. (1995). Inventory model for increasing demand followed by level demand. Journal of the Operational Research Society, 46, 1250–1259.
Hou, K.L. (2006). An inventory model for deteriorating items with stock-dependent consumption rate and shortages under inflation and time discounting, European Journal of Operational Research, 168, 463–474.
Mandal, B., & Pal, A.K. (1998). Order level inventory system with ramp type demand rate for deteriorating items. Journal of Interdisciplinary Mathematics, 1, 49–66.
Mishra, V.K., & Singh, L.S. (2011). Deteriorating inventory model for time dependent demand and holding cost with partial backlogging. International Journal of Management Science and Engineering Management, 6(4), 267-271.
Misra, R.B. (1975). Optimum production lot size model for a system with deteriorating inventory. International Journal of Production Research, 13, 495–505.
Montgomery, D.C., Bazaraa, M.S., & Keswani, A.K. (1973). Inventory models with a mixture of backorders and lost sales. Naval Research Logistics Quarterly, 20, 255–263.
Naddor, E. (1966). Inventory Systems. John Wiley and Sons, Inc.
Panda, S., Saha, S., & Basu, M. (2007). An EOQ model with generalized ramp-type demand and Weibull distribution deterioration. Asia-Pacific Journal of Operational Research, 24(1), 93-109.
Park, K.S. (1982). Inventory model with partial backorders. International Journal of Systems Sciences, 13, 1313–1317.
Raafat, F., (1991). Survey of literature on continuously deteriorating inventory model. Journal of the Operational Research Society, 42, 27–37.
Ray, J., & Chaudhuri, K.S. (1997). An EOQ model with stock-dependent demand, shortage, inflation and time discounting. International Journal of Production Economics, 53, 171–180.
Resh, M., Friedman, M., & Barbosa, L.C. (1976). On a general solution of the deterministic lot size problem with time-proportional demand. Operations Research, 24, 718–725.
Rosenberg, D. (1979). A new analysis of a lot size model with partial backlogging. Naval Research Logistics Quarterly, 26, 346–353.
Roy, A. (2008). An inventory model for deteriorating items with price dependent demand and time varying holding cost. Advanced Modeling and Optimization, 10, 25–37.
Sachan, R.S., (1984). On (T,Si) inventory policy model for deteriorating items with time proportional demand. Journal of the Operational Research Society, 35(11), 1013–1019.
San Jose, L.A., Sicilia, J., & Garcia-Laguna, J. (2005). An inventory system with partial backlogging modeled according to a linear function. Asia-Pacific Journal of Operational Research, 22, 189–209.
San Jose, L.A., Sicilia, J., & Garcia-Laguna, J. (2006). Analysis of an inventory system with exponential partial backordering. International Journal of Production Economics, 100, 76–86.
Sarker, B.R., Jamal, A.M.M., & Wang, S. (2000). Supply chain models for perishable products under inflation and permissible delay in payment. Computers & Operations Research, 27, 59–75.
Skouri, K., & Papachristos, S. (2002). A continuous review inventory model, with deteriorating items, time-varying demand, linear replenishment cost, partially time-varying backlogging. Applied Mathematical Modelling, 26(5), 603–617.
Skouri, K., & Papachristos, S. (2003). Four inventory models for deteriorating items with time varying demand and partial backlogging: A cost comparison. Optimal Control Application and Methods, 24, 315–330.
Skouri, K., Konstantaras, I., Papachristos, S., & Ganas, I. (2009). Inventory models with ramp-type demand rate, partial backlogging and Weibull deterioration rate. European Journal of Operational Research, 192(1), 79-92.
Skouri, K., Konstantaras, I., Papachristos, S., & Teng, J.T. (2011). Supply chain models for deteriorating products with ramp type demand rate under permissible delay in payment. Expert Systems with Application, 38, 14861-14869.
Tadikamalla, P.R. (1978). An EOQ inventory model for items with Gamma distribution. AIIE Transaction, 5, 100–103.
Teng, J.T., Chang, H.J., Dye, & C.Y., Hung, C.H. (2002). An optimal replenishment policy for deteriorating items with time-varying demand and partial backlogging. Operations Research Letters, 30, 387–393.
Teng, J.-T., Chern, M.-S., & Yang, H.-L. (1997). An optimal recursive method for various inventory replenishment models with increasing demand and shortages. Naval Research Logistics, 44, 791–806.
Vrat, P., & Padmanabhan, G. (1990). An inventory model under inflation for stock dependent consumption rate items. Engineering Costs and Production Economics, 19, 379–383.
Wang, S.P. (2002). An inventory replenishment policy for deteriorating items with shortages and partial backlogging. Computers and Operations Research, 29, 2043–2051.
Wee, H.M., & Law, S.T., (2001). Replenishment and pricing policy for deteriorating items taking into account the time value of money. International Journal of Production Economics, 71, 213–220.
Weiss, H.J. (1982). Economic order quantity models with nonlinear holding costs. European Journal of Operational Research, 9(1), 56–60.
Wu, J.-W., Lin, C., Tan, B., & Lee, W.-C. (1999). An EOQ inventory model with ramp type demand rate for items with Weibull deterioration. Information and Management Science, 10(3), 41–51.
Wu, K.-S. (2001). An EOQ inventory model for items with Weibull distribution deterioration, ramp type demand rate and partial backlogging. Production Planning and Control, 12(8), 787–793.
Wu, K.-S., & Ouyang, L.-Y. (2000). A replenishment policy for deteriorating items with ramp type demand rate. Proceedings of the National Science Council, Republic of China, Part A: Physical Science and Engineering, 24(4), 279–286.
Yang, H.L., Teng, J.T., & Chern, M.S. (2001). Deterministic inventory lot-size models under inflation with shortages and deterioration for fluctuating demand. Naval Research Logistics, 48, 144–158.
Agrawal, S., & Banerjee, S. (2011). Two-warehouse inventory model with ramp type demand and partially backlogged shortages. International Journal of Systems Science, 42(7), 1115-1126.
Alfares, H.K. (2007). Inventory model with stock-level dependent demand rate and variable holding cost. International Journal of Production Economics, 108(1-2), 259–265.
Buzacott, J.A. (1975). Economic order quantities with inflation. Operational Research Quarterly, 26, 553–558.
Chang, H.J., & Dye, C.Y. (1999). An EOQ model for deteriorating items with time varying demand and partial backlogging. Journal of the Operational Research Society, 50, 1176–1182.
Chen, J.M. (1998). An inventory model for deteriorating items with time-proportional demand and shortages under inflation and time discounting. International Journal of Production Economics, 55, 21–30.
Chung, K.J., & Lin, C.N. (2001). Optimal inventory replenishment models for deteriorating items taking account of time discounting. Computers & Operations Research, 28, 67–83.
Covert, R.P., & Philip, G.C. (1973). An EOQ model for items with Weibull distribution deterioration. AIIE Transaction, 5, 323–326.
Datta, T.K., & Pal, A.K. (1988). Order level inventory system with power demand pattern for items with variable rate of deterioration. Indian Journal of Pure and Applied Mathematics, 19(11), 1043–1053.
Datta, T.K., & Pal, A.K. (1991). Effects on inflation and time value of money on an inventory model with linear time dependent demand rate and shortages. European Journal of Operational Research, 52, 326–333.
Dave, U., & Patel, L.K. (1981). (T,Si) policy inventory model for deteriorating items with time proportional demand. Journal of the Operational Research Society, 32, 137–142.
Deng, P.S., Lin, R.H.-J., & Chu, P. (2007). A note on the inventory models for deteriorating items with ramp type demand rate. European Journal of Operational Research, 178, 112–120.
Donaldson, W.A. (1977). Inventory replenishment policy for a linear trend in demand: An analytic solution. Operational Research Quarterly, 28, 663–670.
Ferguson, M., Hayaraman, V., & Souza, G.C. (2007). Note: An application of the EOQ model with nonlinear holding cost to inventory management of perishables. European Journal of Operational Research, 180(1), 485–490.
Ghare, P.M., & Schrader, G.F. (1963). A model for exponentially decaying inventories. Journal of Industrial Engineering, 14, 238–243.
Giri, B.C., Jalan, A.K., & Chaudhuri, K.S. (2003). Economic order quantity model with Weibull deterioration distribution, shortage and ramp-type demand. International Journal of Systems Science, 34(4), 237–243.
Goswami, A., & Chaudhuri, K.S. (1991). An EOQ model for deteriorating items with shortages and a linear trend in demand. Journal of the Operation Research Society, 42, 1105–1110.
Goyal, S.K. (1987). Economic ordering policy for deteriorating items over an infinite time horizon. European Journal of Operational Research, 28, 298–301.
Goyal, S.K., & Giri, B.C. (2001). Recent trends in modeling of deteriorating inventory. European Journal of Operational Research, 134, 1–16.
Hariga, M. (1996). Optimal EOQ models for deteriorating items with time-varying demand. Journal of the Operational Research Society, 47, 1228–1246.
Hariga, M.A. (1995). Effects of inflation and time value of money on an inventory model with time-varying demand rate and shortages. European Journal of Operational Research, 81, 512–520.
Hariga, M.A., & Ben-Daya, M. (1996). Optimal time varying lot-sizing models under inflationary conditions. European Journal of Operational Research, 89, 313–325.
Hill, R.M. (1995). Inventory model for increasing demand followed by level demand. Journal of the Operational Research Society, 46, 1250–1259.
Hou, K.L. (2006). An inventory model for deteriorating items with stock-dependent consumption rate and shortages under inflation and time discounting, European Journal of Operational Research, 168, 463–474.
Mandal, B., & Pal, A.K. (1998). Order level inventory system with ramp type demand rate for deteriorating items. Journal of Interdisciplinary Mathematics, 1, 49–66.
Mishra, V.K., & Singh, L.S. (2011). Deteriorating inventory model for time dependent demand and holding cost with partial backlogging. International Journal of Management Science and Engineering Management, 6(4), 267-271.
Misra, R.B. (1975). Optimum production lot size model for a system with deteriorating inventory. International Journal of Production Research, 13, 495–505.
Montgomery, D.C., Bazaraa, M.S., & Keswani, A.K. (1973). Inventory models with a mixture of backorders and lost sales. Naval Research Logistics Quarterly, 20, 255–263.
Naddor, E. (1966). Inventory Systems. John Wiley and Sons, Inc.
Panda, S., Saha, S., & Basu, M. (2007). An EOQ model with generalized ramp-type demand and Weibull distribution deterioration. Asia-Pacific Journal of Operational Research, 24(1), 93-109.
Park, K.S. (1982). Inventory model with partial backorders. International Journal of Systems Sciences, 13, 1313–1317.
Raafat, F., (1991). Survey of literature on continuously deteriorating inventory model. Journal of the Operational Research Society, 42, 27–37.
Ray, J., & Chaudhuri, K.S. (1997). An EOQ model with stock-dependent demand, shortage, inflation and time discounting. International Journal of Production Economics, 53, 171–180.
Resh, M., Friedman, M., & Barbosa, L.C. (1976). On a general solution of the deterministic lot size problem with time-proportional demand. Operations Research, 24, 718–725.
Rosenberg, D. (1979). A new analysis of a lot size model with partial backlogging. Naval Research Logistics Quarterly, 26, 346–353.
Roy, A. (2008). An inventory model for deteriorating items with price dependent demand and time varying holding cost. Advanced Modeling and Optimization, 10, 25–37.
Sachan, R.S., (1984). On (T,Si) inventory policy model for deteriorating items with time proportional demand. Journal of the Operational Research Society, 35(11), 1013–1019.
San Jose, L.A., Sicilia, J., & Garcia-Laguna, J. (2005). An inventory system with partial backlogging modeled according to a linear function. Asia-Pacific Journal of Operational Research, 22, 189–209.
San Jose, L.A., Sicilia, J., & Garcia-Laguna, J. (2006). Analysis of an inventory system with exponential partial backordering. International Journal of Production Economics, 100, 76–86.
Sarker, B.R., Jamal, A.M.M., & Wang, S. (2000). Supply chain models for perishable products under inflation and permissible delay in payment. Computers & Operations Research, 27, 59–75.
Skouri, K., & Papachristos, S. (2002). A continuous review inventory model, with deteriorating items, time-varying demand, linear replenishment cost, partially time-varying backlogging. Applied Mathematical Modelling, 26(5), 603–617.
Skouri, K., & Papachristos, S. (2003). Four inventory models for deteriorating items with time varying demand and partial backlogging: A cost comparison. Optimal Control Application and Methods, 24, 315–330.
Skouri, K., Konstantaras, I., Papachristos, S., & Ganas, I. (2009). Inventory models with ramp-type demand rate, partial backlogging and Weibull deterioration rate. European Journal of Operational Research, 192(1), 79-92.
Skouri, K., Konstantaras, I., Papachristos, S., & Teng, J.T. (2011). Supply chain models for deteriorating products with ramp type demand rate under permissible delay in payment. Expert Systems with Application, 38, 14861-14869.
Tadikamalla, P.R. (1978). An EOQ inventory model for items with Gamma distribution. AIIE Transaction, 5, 100–103.
Teng, J.T., Chang, H.J., Dye, & C.Y., Hung, C.H. (2002). An optimal replenishment policy for deteriorating items with time-varying demand and partial backlogging. Operations Research Letters, 30, 387–393.
Teng, J.-T., Chern, M.-S., & Yang, H.-L. (1997). An optimal recursive method for various inventory replenishment models with increasing demand and shortages. Naval Research Logistics, 44, 791–806.
Vrat, P., & Padmanabhan, G. (1990). An inventory model under inflation for stock dependent consumption rate items. Engineering Costs and Production Economics, 19, 379–383.
Wang, S.P. (2002). An inventory replenishment policy for deteriorating items with shortages and partial backlogging. Computers and Operations Research, 29, 2043–2051.
Wee, H.M., & Law, S.T., (2001). Replenishment and pricing policy for deteriorating items taking into account the time value of money. International Journal of Production Economics, 71, 213–220.
Weiss, H.J. (1982). Economic order quantity models with nonlinear holding costs. European Journal of Operational Research, 9(1), 56–60.
Wu, J.-W., Lin, C., Tan, B., & Lee, W.-C. (1999). An EOQ inventory model with ramp type demand rate for items with Weibull deterioration. Information and Management Science, 10(3), 41–51.
Wu, K.-S. (2001). An EOQ inventory model for items with Weibull distribution deterioration, ramp type demand rate and partial backlogging. Production Planning and Control, 12(8), 787–793.
Wu, K.-S., & Ouyang, L.-Y. (2000). A replenishment policy for deteriorating items with ramp type demand rate. Proceedings of the National Science Council, Republic of China, Part A: Physical Science and Engineering, 24(4), 279–286.
Yang, H.L., Teng, J.T., & Chern, M.S. (2001). Deterministic inventory lot-size models under inflation with shortages and deterioration for fluctuating demand. Naval Research Logistics, 48, 144–158.