How to cite this paper
Singh, S & Chaudhary, R. (2023). Effect of inflation on EOQ model with multivariate demand and partial backlogging and carbon tax policy.Journal of Future Sustainability, 3(1), 35-58.
Refrences
Abad, P.L. (1996). Optimal pricing and lot-sizing under conditions of perishability and partial backlogging. Manage-ment Science, 42(8), 1093-1104.
Alfares, H. K., & Ghaithan, A. M. (2016). Inventory and pricing model with price-dependent demand, time-varying holding cost, and quantity discounts. Computers & Industrial Engineering, 94, 170-177.
Bhunia, A.K., & Maiti, M. (1997). A deterministic inventory replenishment problem for deteriorating items with time dependent demand and shortages for the finite time horizon, OPSEARCH, 34(1), 51–61.
Bierman Jr, H., & Thomas, J. (1977). Inventory decisions under inflationary conditions. Decision Sciences, 8(1), 151-155.
Buzacott, J.A. (1975). Economic Order Quantities with Inflation. Operational Research Quarterly, 26, 553-558.
Cambini, A., & Martein, L. (2009). Convex functions. Generalized Convexity and Optimization: Theory and Applica-tions, 1-21.
Chakraborty, D., Jana, D.K., & Roy, T.K., 2018. Two-warehouse partial backlogging inventory model with ramp type demand rate, three-parameter Weibull distribution deterioration under inflation and permissible delay in pay-ments. Computers & Industrial Engineering, 123, 157-179.
Chang, H. C. (2013). A note on an economic lot size model for price-dependent demand under quantity and freight dis-counts. International Journal of Production Economics, 144(1), 175-179.
Chen, J. M. (1998). An inventory model for deteriorating items with time-proportional demand and shortages under in-flation and time discounting. International Journal of Production Economics, 55(1), 21-30.
Chen, L., Chen, X., Keblis, M.F., & Li, G. (2019). Optimal pricing and replenishment policy for deteriorating inventory under stock-level-dependent, time-varying and price-dependent demand. Computers & Industrial Engineering, 135, 1294-1299.
Covert, R. P., & Philip, G. C. (1973), An EOQ model for items with weibull- distribution deterioration, American insti-tute of industrial engineering transactions, 5(4), 323 – 326.
Das, S.C., Zidan, A.M., Manna, A.K., Shaikh, A.A., & Bhunia, A.K. (2020). An application of preservation technology in inventory control system with price dependent demand and partial backlogging. Alexandria Engineering Jour-nal, 59(3), pp.1359-1369.
Dey, K., Chatterjee, D., Saha, S., & Moon, I. (2019). Dynamic versus static rebates: an investigation on price, displayed stock level, and rebate-induced demand using a hybrid bat algorithm. Annals of Operations research, 279(1), 187-219.
Dye, C. Y., Ouyang, L. Y., & Hsieh, T. P. (2007). Deterministic inventory model for deteriorating items with capacity constraint and time-proportional backlogging rate. European Journal of Operational Research, 178(3), 789-807.
Ghare, P.M., & Schrader, G.F. (1963). An inventory model for exponentially deteriorating items. Journal of Industrial Engineering, 14, 238–243.
Ghiami, Y., & Williams, T. (2015). A two-echelon production-inventory model for deteriorating items with multiple buyers. International Journal of Production Economics, 159, 233-240.
Ghosh S.K., & Chaudhuri K.S. (2005). An EOQ model for a deteriorating item with trended demand and variable back-logging with shortages in all cycles. Applied Mathematics and Optimization, 7(1), 57-68.
Ghosh, S., & Chakrabarty, T. (2009). An order-level inventory model under two level storage system with time depend-ent demand. OPSEARCH, 46(3), 335-344.
Goyal, SK., & Giri, BC. (2003). The production–inventory problem of a product with time varying demand, production and deterioration rates. European Journal of Operational Research 147, 549-557.
Hariga, M. A. (1994). Economic analysis of dynamic inventory models with non-stationary costs and de-mand. International Journal of Production Economics, 36(3), 255-266.
Jaggi, C. K., Tiwari, S., & Goel, S. K. (2017). Credit financing in economic ordering policies for non-instantaneous de-teriorating items with price dependent demand and two storage facilities. Annals of Operations Research, 248(1), 253-280.
Mak, K. L. (1987). Determining optimal production-inventory control policies for an inventory system with partial backlogging”, Computers & Operations Research, 14(4), 299- 304.
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(2), 255-263.
Noblesse, A. M., Boute, R. N., Lambrecht, M. R., & Van Houdt, B. (2014). Lot sizing and lead time decisions in produc-tion/inventory systems. International Journal of Production Economics, 155, 351–360.
Ouyang, L. Y., & Chuang, B. R. (2001). Mixture inventory model involving variable lead time and controllable backorder rate. Computers & industrial engineering, 40(4), 339-348.
OuYang, L. Y., Hsieh, T. P., Dye, C. Y., & Chang, H. C. (2003). An inventory model for deteriorating items with stock-dependent demand under the conditions of inflation and time-value of money. The Engineering Economist, 48(1), 52-68.
Pando, V., San-José, L.A., García-Laguna, J. & Sicilia, J. (2018). Optimal lot-size policy for deteriorating items with stock-dependent demand considering profit maximization. Computers & Industrial Engineering, 117, 81-93.
Pramanik, P., & Maiti, M. K. (2019). An inventory model for deteriorating items with inflation induced variable de-mand under two level partial trade credit: A hybrid ABC-GA approach. Engineering Applications of Artificial Intel-ligence, 85, 194-207.
Rosenberg, D. (1979). A new analysis of a lot‐size model with partial backlogging. Naval Research Logistics Quarterly, 26(2), 349-353.
Sarkar, B., & Majumder, A. (2013). Integrated vendor–buyer supply chain model with vendor’s setup cost reduc-tion. Applied Mathematics and Computation, 224, 362-371.
Sarkar, B., Mandal, P., & Sarkar, S. (2014). An EOQ model with price and time dependent demand under the effect of reliability and inflation. Applied Mathematics and Computations, 231, 414-421.
Sharma, S., & Sadiwala, C. M. (1997). Effects of lost sales on composite lot sizing. Computers & industrial engineer-ing, 32(3), 671-677.
Shukla, H. S., Shukla, V., & Yadav, S. K. (2013). EOQ model for deteriorating items with exponential demand rate and shortages. Uncertain Supply Chain Management, 1(2), 67-76.
Skouri, K., & Papachristos, S. (2003). Optimal stopping and restarting production times for an EOQ model with deterio-rating items and time dependent partial backlogging. International Journal of Production Economics, 81-82, 525-531.
Teng, J. T., Yang, H. L., & Ouyang, L. Y. (2003). On an EOQ model for deteriorating items with time-varying demand and partial backlogging. Journal of the Operational Research Society, 54(4), 432-436.
Thangam, A., & Uthayakumar, R. (2008). A two-level supply chain with partial backordering and approximated Poisson demand. European Journal of Operational Research, 187(1), 228-242.
Thinakaran, N., Jayaprakas, J., & Elanchezhian, C. (2019). Survey on inventory model of EOQ & EPQ with partial backorder problems. Materials Today: Proceedings, 16, 629-635.
Tiwari, S., Cárdenas-Barrón, L. E., Khanna, A., & Jaggi, C. K. (2016). Impact of trade credit and inflation on retailer's ordering policies for non-instantaneous deteriorating items in a two-warehouse environment. International Journal of Production Economics, 176, 154-169.
Wee, H.M. (1993). Economic production lot size model for deteriorating items with partial back-ordering. Computers & Industrial Engineering, 24(3), 449-458.
Yang, H.L. (2004). Two-warehouse inventory models for deteriorating items with shortages under inflation. European Journal of Operational Research, 157, 344-356.
Yang, H.L., Teng, J.T., & 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.
Zangwill, W. I. (1966). A deterministic multi-period production scheduling model with backlogging. Management Sci-ence, 13(1), 105-119.
Alfares, H. K., & Ghaithan, A. M. (2016). Inventory and pricing model with price-dependent demand, time-varying holding cost, and quantity discounts. Computers & Industrial Engineering, 94, 170-177.
Bhunia, A.K., & Maiti, M. (1997). A deterministic inventory replenishment problem for deteriorating items with time dependent demand and shortages for the finite time horizon, OPSEARCH, 34(1), 51–61.
Bierman Jr, H., & Thomas, J. (1977). Inventory decisions under inflationary conditions. Decision Sciences, 8(1), 151-155.
Buzacott, J.A. (1975). Economic Order Quantities with Inflation. Operational Research Quarterly, 26, 553-558.
Cambini, A., & Martein, L. (2009). Convex functions. Generalized Convexity and Optimization: Theory and Applica-tions, 1-21.
Chakraborty, D., Jana, D.K., & Roy, T.K., 2018. Two-warehouse partial backlogging inventory model with ramp type demand rate, three-parameter Weibull distribution deterioration under inflation and permissible delay in pay-ments. Computers & Industrial Engineering, 123, 157-179.
Chang, H. C. (2013). A note on an economic lot size model for price-dependent demand under quantity and freight dis-counts. International Journal of Production Economics, 144(1), 175-179.
Chen, J. M. (1998). An inventory model for deteriorating items with time-proportional demand and shortages under in-flation and time discounting. International Journal of Production Economics, 55(1), 21-30.
Chen, L., Chen, X., Keblis, M.F., & Li, G. (2019). Optimal pricing and replenishment policy for deteriorating inventory under stock-level-dependent, time-varying and price-dependent demand. Computers & Industrial Engineering, 135, 1294-1299.
Covert, R. P., & Philip, G. C. (1973), An EOQ model for items with weibull- distribution deterioration, American insti-tute of industrial engineering transactions, 5(4), 323 – 326.
Das, S.C., Zidan, A.M., Manna, A.K., Shaikh, A.A., & Bhunia, A.K. (2020). An application of preservation technology in inventory control system with price dependent demand and partial backlogging. Alexandria Engineering Jour-nal, 59(3), pp.1359-1369.
Dey, K., Chatterjee, D., Saha, S., & Moon, I. (2019). Dynamic versus static rebates: an investigation on price, displayed stock level, and rebate-induced demand using a hybrid bat algorithm. Annals of Operations research, 279(1), 187-219.
Dye, C. Y., Ouyang, L. Y., & Hsieh, T. P. (2007). Deterministic inventory model for deteriorating items with capacity constraint and time-proportional backlogging rate. European Journal of Operational Research, 178(3), 789-807.
Ghare, P.M., & Schrader, G.F. (1963). An inventory model for exponentially deteriorating items. Journal of Industrial Engineering, 14, 238–243.
Ghiami, Y., & Williams, T. (2015). A two-echelon production-inventory model for deteriorating items with multiple buyers. International Journal of Production Economics, 159, 233-240.
Ghosh S.K., & Chaudhuri K.S. (2005). An EOQ model for a deteriorating item with trended demand and variable back-logging with shortages in all cycles. Applied Mathematics and Optimization, 7(1), 57-68.
Ghosh, S., & Chakrabarty, T. (2009). An order-level inventory model under two level storage system with time depend-ent demand. OPSEARCH, 46(3), 335-344.
Goyal, SK., & Giri, BC. (2003). The production–inventory problem of a product with time varying demand, production and deterioration rates. European Journal of Operational Research 147, 549-557.
Hariga, M. A. (1994). Economic analysis of dynamic inventory models with non-stationary costs and de-mand. International Journal of Production Economics, 36(3), 255-266.
Jaggi, C. K., Tiwari, S., & Goel, S. K. (2017). Credit financing in economic ordering policies for non-instantaneous de-teriorating items with price dependent demand and two storage facilities. Annals of Operations Research, 248(1), 253-280.
Mak, K. L. (1987). Determining optimal production-inventory control policies for an inventory system with partial backlogging”, Computers & Operations Research, 14(4), 299- 304.
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(2), 255-263.
Noblesse, A. M., Boute, R. N., Lambrecht, M. R., & Van Houdt, B. (2014). Lot sizing and lead time decisions in produc-tion/inventory systems. International Journal of Production Economics, 155, 351–360.
Ouyang, L. Y., & Chuang, B. R. (2001). Mixture inventory model involving variable lead time and controllable backorder rate. Computers & industrial engineering, 40(4), 339-348.
OuYang, L. Y., Hsieh, T. P., Dye, C. Y., & Chang, H. C. (2003). An inventory model for deteriorating items with stock-dependent demand under the conditions of inflation and time-value of money. The Engineering Economist, 48(1), 52-68.
Pando, V., San-José, L.A., García-Laguna, J. & Sicilia, J. (2018). Optimal lot-size policy for deteriorating items with stock-dependent demand considering profit maximization. Computers & Industrial Engineering, 117, 81-93.
Pramanik, P., & Maiti, M. K. (2019). An inventory model for deteriorating items with inflation induced variable de-mand under two level partial trade credit: A hybrid ABC-GA approach. Engineering Applications of Artificial Intel-ligence, 85, 194-207.
Rosenberg, D. (1979). A new analysis of a lot‐size model with partial backlogging. Naval Research Logistics Quarterly, 26(2), 349-353.
Sarkar, B., & Majumder, A. (2013). Integrated vendor–buyer supply chain model with vendor’s setup cost reduc-tion. Applied Mathematics and Computation, 224, 362-371.
Sarkar, B., Mandal, P., & Sarkar, S. (2014). An EOQ model with price and time dependent demand under the effect of reliability and inflation. Applied Mathematics and Computations, 231, 414-421.
Sharma, S., & Sadiwala, C. M. (1997). Effects of lost sales on composite lot sizing. Computers & industrial engineer-ing, 32(3), 671-677.
Shukla, H. S., Shukla, V., & Yadav, S. K. (2013). EOQ model for deteriorating items with exponential demand rate and shortages. Uncertain Supply Chain Management, 1(2), 67-76.
Skouri, K., & Papachristos, S. (2003). Optimal stopping and restarting production times for an EOQ model with deterio-rating items and time dependent partial backlogging. International Journal of Production Economics, 81-82, 525-531.
Teng, J. T., Yang, H. L., & Ouyang, L. Y. (2003). On an EOQ model for deteriorating items with time-varying demand and partial backlogging. Journal of the Operational Research Society, 54(4), 432-436.
Thangam, A., & Uthayakumar, R. (2008). A two-level supply chain with partial backordering and approximated Poisson demand. European Journal of Operational Research, 187(1), 228-242.
Thinakaran, N., Jayaprakas, J., & Elanchezhian, C. (2019). Survey on inventory model of EOQ & EPQ with partial backorder problems. Materials Today: Proceedings, 16, 629-635.
Tiwari, S., Cárdenas-Barrón, L. E., Khanna, A., & Jaggi, C. K. (2016). Impact of trade credit and inflation on retailer's ordering policies for non-instantaneous deteriorating items in a two-warehouse environment. International Journal of Production Economics, 176, 154-169.
Wee, H.M. (1993). Economic production lot size model for deteriorating items with partial back-ordering. Computers & Industrial Engineering, 24(3), 449-458.
Yang, H.L. (2004). Two-warehouse inventory models for deteriorating items with shortages under inflation. European Journal of Operational Research, 157, 344-356.
Yang, H.L., Teng, J.T., & 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.
Zangwill, W. I. (1966). A deterministic multi-period production scheduling model with backlogging. Management Sci-ence, 13(1), 105-119.