How to cite this paper
Khanlarzade, N., Yegane, B., Kamalabadi, I & Farughi, H. (2014). Inventory control with deteriorating items: A state-of-the-art literature review.International Journal of Industrial Engineering Computations , 5(2), 179-198.
Refrences
Abad, P.L. (1996). Optimal pricing and lot sizing under conditions of perishability and partial backordering. Management Science, 42, 1093-1104.
Abad, P.L. (2001). Optimal price and order size for a retailer under partial backordering. Computers and Operations Research, 28, 53-65.
Abad, P.L. (2003). Optimal pricing and lot-sizing under conditions of perishability and finite production and partial backordering and lost sale. European Journal of Operational Research, 144, 677-685.
Abad, P.L. (2008). Optimal price and order size under partial backordering incorporating shortage and backorder and lost sale costs. International Journal of Production Economics, 114, 179-186.
Aggarwal, V., & Bahari-Kashani, H. (1991). Synchronized production policies for deteriorating items in a declining market. IIE Transactions, 23, 658-662.
Alfares, H.K. (2007). Inventory model with stock-level dependent demand rate and variable holding cost. International Journal of Production Economics, 108, 259-265.
Arya, R.K., Singh, S.R., & Shakya, S.K. (2009). An order level inventory model for perishable items with stock dependent demand and partial backlogging. International Journal of Computational and Applied Mathematics, 4(1), 19-28.
Bakker, M., Riezebos, J., & Teunter, R.H. (2012). Review of inventory systems with deterioration since 2001. European Journal of Operational Research, 221, 275-284.
Balkhi, Z.T. (1999). On the global optimal solution to an integrated inventory system with general time-varying demand and production and deterioration rates. European Journal of Operational and Research, 114, 29-37.
Balkhi, Z.T., & Benkherouf, L. (1996). On the optimal replenishment schedule for an inventory system with deteriorating items and time-varying demand and production rates. Computers & Industrial Engineering, 30, 823-829.
Balkhi, Z.T., & Benkherouf, L. (2004). On an inventory model for deteriorating items with stock dependent and time-varying demand rates. Computers and Operations Research, 31, 223-240.
Benkherouf, L., & Balkhi, Z.T. (1997). On inventory model for deteriorating items and time-varying demand. Mathematical Methods of Operations Research, 45, 221-233.
Bhunia, A.K., & Maity, M. (1998). Deterministic inventory model for deteriorating items with finite rate of replenishment dependent on inventory level. Computers & Operations Research, 25, 997-1006.
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, 307-316.
Chang, C.T., Goyal, S.K., & Teng, J.T. (2006). On “An EOQ model for perishable items under stock-dependent selling rate and time-dependent partial backlogging” by Dye and Ouyang. European Journal of Operational Research, 174, 923-929.
Chang, H.J., Teng, J.T., & Ouyang, L.Y. (2006). Retailers optimal pricing and lot-sizing policies for deteriorating items with partial backlogging. European Journal of Operational Research, 168, 51-64.
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.
Chern, M.S., Chan, Y.L., & Teng, J.T. (2005). A comparision among various inventory shortage models for deteriorating items on the basis of maximizing profit. Asia-Pacific Journal of Operational Research, 22(1), 121-134.
Chern, M.S., Yang, H.L., Teng, J.T., & papachristos, S. (2008). Prtial backlogging inventory lot-size models for deteriorating items with fluctuating demand under inflation. European Journal of Operational Research, 191, 127-141.
Chu, P., Yang, K.L., Liang, S.K., & Niu, T. (2004). Note on inventory model with a mixture of back orders and lost sales. European Journal of Operational Research, 159, 470-475.
Chung, K.J., & Cardenas-Barron, L.E. (2013). The simplified solution procedure for deteriorating items under stock dependent demand and two level trade credit in the supply chain management. Applied Mathematical Modelling, 37(7), 4653-4660.
Chung, K.J., Chu, P., & Lan, S.P. (2000). A note on EOQ models for deteriorating items under stock dependent selling rate. European Journal of Operational Research, 124, 550-559.
Chung, K.J., Chu, P., & Lan, S.P. (2000). A note on EOQ models for deteriorating items under stock dependent selling rate. European Journal of Operational Research, 124, 550-559.
Clarck, A.J., & Scarf, H. (1970). Optimal policies for a multi echelon inventory problem. Management Science, 6, 475-490.
Cobbaert, K., & Oudheusden, D.V. (1996). Inventory models for fast moving spare parts subject to “sudden death” obsolescence. International Journal of Production Economics, 44, 239-248.
Covert, R.P., & Phillip, G.C. (1973). An EOQ model for items with Weibull distribution deterioration. AIIE Transactions, 5, 323-328.
Das, B.C., Das, B., & Mondal, S.K. (2013). Integrated supply chain model for a deteriorating item with procurement cost dependent credit period. Computers & Industrial Engineering, 64(3), 788-796.
Datta, T.K., & Pal, A.K. (1990). Deterministic inventory systems for deteriorating items with inventory level-dependent demand rate and shortages. Opsearch, 27, 213-224.
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.
Dye, C.Y. (2007). Deterministic inventory model for deteriorating items with capacity constraint and time-proportional backlogging rate. European Journal of Operational Research, 178, 789-807.
Dye, C.Y., & Ouyang, L.Y. (2005). An EOQ model for perishable items under stock-dependent selling rate and time-dependent partial backlogging. European Journal of Operational Research, 163, 776-783.
Dye, C.Y., Chang, H.J., & Teng, J.T. (2006). A deteriorating inventory model with time-varying demand and shortage-dependent partial backlogging. European Journal of Operational Research, 172, 417-429.
Gayen, M., & Pal, A. K. (2009). A two ware house inventory model for deteriorating items with stock dependent demand rate and holding cost.Operational Research, 9(2), 153-165.
Ghare, P.N., & Schrader, G.F. (1963). A model for exponentially decaying inventories. Journal of International Engineering, 15, 238-243.
Ghosh, S.K., & Chaudhuri, K.S. (2005). An EOQ model for a deteriorating item with trended demand and variable backlogging with shortages in all cycles. AMO-Advanced Modeling and Optimization, 7(1), 57-68.
Giri, B.C., & Chaudhuri, K.S. (1998). Deterministic models of perishable inventory with stock dependent demand rate and nonlinear holding cost. European Journal of Operational Research, 105, 467-474.
Giri, B.C., Chakrabarty, T., & Chaudhuri, K.S. (2000). A note on a lot sizing heuristic for deteriorating items with time-varying demands and shortages. Computers and Operations Research, 27, 495-505.
Giri, B.C., Goswami, A., & Chaudhuri, K.S. (1996). An EOQ model for deteriorating items with time varying demand and costs. Journal of the Operational Research Society, 47, 1398-1405.
Goswami, A., & Chaudhuri, K.S. (1991). An EOQ model for deteriorating items with shortages and a linear trend in demand. Journal of the Operational Research Society, 42, 1105-1110.
Goswami, A., & Chaudhuri, K.S. (1992). An EOQ model for items with two levels of storage for a linear trend in demand. Journal of the Operational Research Society, 43, 157-167.
Goyal, S.K. (1985). Economic order quantity under conditions of permissible delay in payments. Journal of Operational Research Society, 36, 335-338.
Goyal, S.K., & Giri, B.C. (2001). Recent trends in modeling of deteriorating inventory. European Journal of Operational Research, 134, 1-16.
Goyal, S.K., & Giri, B.C. (2003). The production-inventory problem of a product with time varying demand,production and deterioration rates. European Journal of Operational Research, 147, 549-557.
Goyal, S.K., Morin, D., & Nebebe, F. (1992). The finite horizon trended inventory replenishment problem with shortages. Journal of Operational Research Society, 43, 1173-1178.
Hariga, M. (1993). The inventory replenishment problem with a linear trend in demand. Computers Industrial Engineering, 24, 143-150.
Hariga, M. (1994). The inventory lot-sizing with continuous time varying demand and shortages. Journal of Operational Research Society, 45(7), 827-837.
Hariga, M., & Benkherouf, L. (1994). Optimal and heuristic replenishment models for deteriorating items with exponential time varying demand. European Journal of Operational Research, 79, 123-137.
Hollier, R.H., & Mak, K.L. (1983). Inventory replenishment policies for deteriorating items in a declining market. International Journal of Production Research, 21, 813-826.
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.
Hsieh, T.P., & Dye, C.Y. (2010). Pricing and lot-sizing policies for deteriorating items with partial backlogging under inflation. Expert Systems with Application, 37(10), 7234–7242.
Hsieh, T.P., Dye, C.Y., & Ouyang, L.Y. (2008). Determining optimal lot size for a two-warehouse system with deterioration and shortages using net present value. European Journal of Operational Research, 191, 182-192.
Huang, C.K. (2002). An integrated vendor-buyer cooperative inventory model for items with imperfect quality. Production Planning and Control, 13, 355-361.
Jolai, F., Tavakoli-Moghaddam, R., Rabbani, M., & Sadoughian, M.R. (2006). An economic production lot size model with deteriorating items, stock-dependent demand and inflation and partial backlogging. Applied Mathematics and Computation, 181, 380-389.
Khanlarzade, N., Nakhai, I., & Yousefi, B. (2011). EOQ model development for perishable items under stock dependent demand and time dependent partial backlogging by using intelligent packaging. The IEEE International Confrence On Industrial Engineering and Engineering Management, Singapore.
Khanlarzade, N., Yousefi, B., & Nakhai, I. (2012). Genetic algorithm to optimize two echelon inventory control system for perishable goods in terms of active packaging. International journal of Industrial Engineering Computations, 3, 103-114.
Kim, J.S., Hwang, H., & Shinn, S.W. (1995). An optimal credit policy to increase suppliers profit with price-dependent demand functions. Production Planning and Control, 6, 45-50.
Lee, C.C. (2006). Two-warehouse inventory model with deterioration under FIFO dispatching policy. European Journal of Operational Research, 174, 861-873.
Lee, C.C., & Hsu, S.L. (2009). A two-warehouse production model for deteriorating inventory items with time-dependent demands. European Journal of Operational Research, 194, 700-710.
Lee, C.F., & Chung, C.P. (2012). An inventory model for deteriorating items in a supply chain with system dynamics analysis. Procedi-Social and Behavioral Sciences, 40, 41-51.
Liao, H.C., Tsai, C.H., & Su, C.T. (2000). An inventory model for deteriorating items under inflation when delay in payment is permissible. International Journal of Production Economics, 63, 207-214.
Liao, J.J., Huang, K.N., & Chung, K.J. (2012). Lot-sizing decisions for deteriorating items with two warehouses under an order-size-dependent trade credit. International Journal of Production Economics, 137(1), 102-115.
Lin, C., & Lin, Y. (2007). A cooperative inventory policy with deteriorating items for a two - echelon model. European Journal of Operational Research, 178, 92-111.
Mahapatra, N. K., Das, K., & Maiti, M. (2007). Production-inventory policy for a deteriorating item with a single vendor-buyer system. Optimization and Engineering, 8(4), 431-448.
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.
Maihami, R., & Nakhai, I. (2012). Joint pricing and inventory control for non-instaneuos deteriorating items with partial backlogging and time and price dependent demand. International Journal of Production Economics, 136(1), 116-122.
Maiti, M.K., & Maiti, M. (2005). Inventory of damageable items with variable replenishment and unit production cost via simulated annealing method. Computers & Industrial Engineering, 49, 432-448.
Mandal, M., & Maiti, M. (1999). Inventory of damageable items with variable replenishment rate and stock-dependent demand and some units in hand. Applied Mathematical Modelling, 23, 799-807.
Min, J., Zhou, Y.W., & Zhao, J. (2010). An inventory model for deteriorating items under stock dependent demand and two level trade credit. Applied Mathematical Modelling, 34(1), 3273-3285.
Moon, I., Giri, B.C., & Ko, B. (2005). Economic order quantity models for ameliorating/deteriorating items under inflation and time discounting. European Journal of Operational Research, 162(3), 773-785.
Nagaraju, D., Rao, A.R.K., & Babu, P.S. (2010). Two echelon inventory supply chain model for optimal total cost under inflation and deflation. International Journal of Applied Engineering Research, 5(2), 221-232.
Niu, B., & Xie, J. (2008). A note on “Two-warehouse inventory model with deterioration under FIFO dispatch policy”. European Journal of Operational Research, 190(2), 571-577.
Ouyang, L.Y., Teng, J.T., Goyal, S.K., & yang, C.T. (2009). An economic order quantity model for deteriorating items with partially permissible delay in payments linked to order quantity. European Journal of Operational Research, 194, 418-431.
Ouyang, L.Y., Wu, K.S., & Cheng, M.C. (2005). An inventory model for deteriorating items with exponential declining demand and partial backlogging. Yugoslav Journal of Operations Research, 15, 277-288.
Padmanabhan, G., & Vrat, P. (1990). An EOQ model for items with stock-dependent consumption rate exponential decay. Engineering Costs and Production Economics, 18, 241-246.
Padmanabhan, G., & Vrat, P. (1995). EOQ models for perishable items under stock-dependent selling rate. European Journal of Operational Research, 86, 281-292.
Pakkala, T.P., & Achary, K.K. (1992). A deterministic inventory model for deteriorating items with two warehouse and finite replenishment rate. European Journal of Operational Research, 57, 71-76.
Pal, A.K., Bhunia, A.K., & Mukherjee, R.N. (2006). Optimal lot size model for deteriorating items with demand rate dependent on displayed stock level(DSL) and partial backordering. European Journal of Operational Research, 175, 977-991.
Papachristos, S., & Skouri, K. (2000). An optimal replenishment policy for deteriorating items with time-varying demand and partial exponential type backlogging. Operations Research Letters, 27(4), 175-184.
Papachristos, S., & Skouri, K. (2003). An inventory model with deteriorating items and quantity discount and pricing and time-dependent partial backlogging. International Journal Production Economics, 83, 247-256.
Philip, G.C. (1974). A generalized EOQ model for items with Weibull distribution. AIIE Transaction, 6, 159-162.
Raafat, F., Wolfe, P.M., & Eidin, H.K. (1991). An inventory model for deteriorating items. Computers & Industrial Engineering, 20, 89-94.
Rau, H., Wu, M.Y., & Wee, H.M. (2003). Integrated inventory model for deteriorating items under a multi-echelon supply chain environment. International Journal of Production Economics, 86, 155-168.
Rong, M., Mahapatra, N.K., & Maiti, M. (2008). A two warehouse inventory model for a deteriorating item with partially/fully backlogged shortage and fuzzy lead time. European Journal of Operational Research, 189, 59-75.
Roy, A., Maiti, M.K., Kar, S., & Maiti, M. (2009). An inventory model for a deteriorating item with displayed stock dependent demand under fuzzy inflation and time discounting over a random planning horizon. Applied Mathematical Modelling, 33, 744-759.
Roy, T.K., & Maity, M. (1998). Multi-objective models of deteriorating items with some constraints in a fuzzy environment. Computers and Operations Research, 25, 1085-1095.
Sana, S., Goyal, S.K., & Chaudhuri, K.S. (2004). A production-inventory model for a deteriorating item with trended demand and shortages. European Journal of Operational Research, 157, 357-371.
Sarkar, B. (2013). A production inventory model with probabilistic deterioration in two-echelon supply chain management. Applied Mathematical Modeling, 37(5), 3138-3151.
Sarma, K.V.S. (1983). A deterministic inventory model with two level of storage and optimum release rule. OPsearch, 20(3), 175-180.
Sarma, K.V.S. (1987). A deterministic order level inventory model for deteriorating items with two storage facilities. European Journal of Operational Research, 29, 70-73.
Sarmah, S.P., Acharya, D., & Goyal, S.K. (2007). Coordination and profit sharing between a manufacturer and a buyer with target profit under credit option. European Journal of Operational Research, 182, 1469-1478.
Shah, N.H., Gor, A.S., & Wee, H.M. (2008). Optimal joint vendor-buyer inventory strategy for deteriorating items with salvage value. Proceedings of 14th computing: The Australian theory of symposium (CATS), 77:63-8.
Shah, Y.K. (1977). An order-level lot size inventory model for deteriorating items. IIE Transactions, 9, 108-112.
Shinn, S.W., & Hwang, H. (2003). Optimal pricing and ordering policies for retailers under order-size-dependent delay in payment. Computers and Operations Research, 30, 35-50.
Singh, S.R., Kumar, N., & Kumari, R. (2009). Two-warehouse inventory model for deteriorating items with shortages under inflation and time-value of money. International Journal of Computational and Applied Mathematics, 4(1), 83-94.
Singh, T.J., Singh, s.R., & Dutt, R. (2009). An EOQ model for perishable items with power demand and partial backlogging. IJOQM, 15(1), 65-72.
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 payments. Expert Systems with Applications, 38, 14861-14869.
Teng , J.T., Ouyang, L.Y., & Hen, L.H. (2007). A comparison between two pricing and lot-sizing models with partial backlogging and deteriorated items. International Journal of Production Economics, 105(1), 190-203.
Teng, J.T., & Chang, C.T. (2005). Economic production quantity models for deteriorating items with price and stock-dependent demand. Computers and Operations Research, 32, 297-308.
Teng, J.T., & Yang, H.L. (2004). Deterministic economic order quantity models with partial backlogging when demand and cost are fluctuating with time. Journal of the Operational Research Society, 55, 495-503.
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 shortage. Naval Research Logistics, 44, 791-806.
Tsao, Y.C., & Sheen, G.J. (2008). Dynamic pricing, promotion and replenishment policies for a deteriorating item under permissible delay in payments. Computers and Operations Research, 35, 3562-3580.
Uthayakumar, R., & Parvathi, P. (2006). A deterministic inventory model for deteriorating items with partially backlogged and stock and time dependent demand under trade credit. International Journal of Soft Computing, 1(3), 199-206.
Valliathal, M., & Uthayakumar, R. (2009). An EOQ model for perishable items under stock and time-dependent selling rate with shortages. ARPN Journal of Engineering and Applied Sciences, 4(8), 8-14.
Van beek, P., Bremer, A., & Putten, C. (1985). Design and optimization of multi-echelon assembly networks: Savings and potentialities. European Journal of Operational Research, 19, 57-67.
Wang, K.J., Lin, Y.S., & Yu, J.CP. (2011). Optimizing inventory policy for products with time-sensitive deteriorating rates in a multi-echelon supply chain. International Journal of Production Economics, 130(1), 66-76.
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., Chung, C.J., & Yang, P.C. (2008). An integrated vendor - buyer deteriorating item ordering policy. Proceedings of the seventh International Conference on Machine Learning and Cybernetics, Kunming, 12-15.
Wee, H.M. (1993). Economic production lot-size model for deteriorating items with partial backordering. Computer & Industrial Engineering, 24, 449-458.
Wee, H.M. (1995). A deterministic lot-size inventory model for deteriorating items with shortage and a declining market. Computers and Operations Research, 22, 345-356.
Wee, H.M. (1995). Joint pricing and replenishment policy for deteriorating inventory with declining market. International Journal of Production Economic, 40, 163-171.
Wee, H.M. (1997). A replenishment policy for items with price dependent demand and a varying rate of deterioration. Production Planning and Control, 8, 494- 499.
Wee, H.M. (1999). Deteriorating inventory model with quantity discount and pricing and partial backordering. International Journal Economics, 59, 511-518.
Wee, H.M., Yu, J.C.P., Wang, K.J., & Widyadana, G.A. (2008). Using an AI approach to solve an integrated two-echelon deteriorating inventory model. APIEMS, 1330-1338.
Whitin, T.M. (1957),. Theory of Inventory Management, Princeton University Press. Princeton, NJ.
Williams, C.L., & Patuwo, B.E. (1999). A perishable inventory model with positive order lead times. European Journal of Operational and Research, 116, 352-373.
Wu, K.S. (2002). EOQ inventory model for items with Weibull distribution deterioration and time-varying demand and partial backlogging. International Journal of systems Science, 33, 323-329.
Xu, H., & Wang, H. (1992). Optimal inventory policy for perishable items with time proportional demand. IIE Transactions, 24, 105-110.
Yang , P.C, & Wee, H.M. (2000). Economic ordering policy of deteriorated item for vendor and buyer: An integrated approach. Production Planning and Control, 11(5), 474-480.
Yang, H.L. (2004). Two ware house inventory models for deteriorating items with shortages under inflation. European Journal of Operational Research, 157, 344-356.
Yang, H.L. (2005). A comparison among various partial backlogging inventory lot-size models for deteriorating items on the basis of maximum profit. International Journal of Production Economics, 96, 119-128.
Yang, H.L. (2006). Two-warehouse partial backlogging inventory models for deteriorating items under inflation. International Journal of Production Economics, 103, 362-370.
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.
Yang, P.C. (2004). Pricing strategy for deteriorating items using quantity discount when demand is price sensitive. European Journal of Operational Research, 157, 389-397.
Yang, P.C., & Wee, H.M. (2002). A single-vendor and multi-buyers production-inventory policy for a deteriorating item. European Journal of Operational Research, 143, 570-581.
Yang, P.C., Wee, H.M., & Hsu, P.H. (2008). Collaborative vendor–buyer inventory system with declining market. Computers & Industrial Engineering, 54(1), 128-139.
You, P.S., & Hsieh, Y.C. (2007). An EOQ model with stock and price sensitive demand. Mathematical and Computer Modelling, 45, 933-942.
Abad, P.L. (2001). Optimal price and order size for a retailer under partial backordering. Computers and Operations Research, 28, 53-65.
Abad, P.L. (2003). Optimal pricing and lot-sizing under conditions of perishability and finite production and partial backordering and lost sale. European Journal of Operational Research, 144, 677-685.
Abad, P.L. (2008). Optimal price and order size under partial backordering incorporating shortage and backorder and lost sale costs. International Journal of Production Economics, 114, 179-186.
Aggarwal, V., & Bahari-Kashani, H. (1991). Synchronized production policies for deteriorating items in a declining market. IIE Transactions, 23, 658-662.
Alfares, H.K. (2007). Inventory model with stock-level dependent demand rate and variable holding cost. International Journal of Production Economics, 108, 259-265.
Arya, R.K., Singh, S.R., & Shakya, S.K. (2009). An order level inventory model for perishable items with stock dependent demand and partial backlogging. International Journal of Computational and Applied Mathematics, 4(1), 19-28.
Bakker, M., Riezebos, J., & Teunter, R.H. (2012). Review of inventory systems with deterioration since 2001. European Journal of Operational Research, 221, 275-284.
Balkhi, Z.T. (1999). On the global optimal solution to an integrated inventory system with general time-varying demand and production and deterioration rates. European Journal of Operational and Research, 114, 29-37.
Balkhi, Z.T., & Benkherouf, L. (1996). On the optimal replenishment schedule for an inventory system with deteriorating items and time-varying demand and production rates. Computers & Industrial Engineering, 30, 823-829.
Balkhi, Z.T., & Benkherouf, L. (2004). On an inventory model for deteriorating items with stock dependent and time-varying demand rates. Computers and Operations Research, 31, 223-240.
Benkherouf, L., & Balkhi, Z.T. (1997). On inventory model for deteriorating items and time-varying demand. Mathematical Methods of Operations Research, 45, 221-233.
Bhunia, A.K., & Maity, M. (1998). Deterministic inventory model for deteriorating items with finite rate of replenishment dependent on inventory level. Computers & Operations Research, 25, 997-1006.
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, 307-316.
Chang, C.T., Goyal, S.K., & Teng, J.T. (2006). On “An EOQ model for perishable items under stock-dependent selling rate and time-dependent partial backlogging” by Dye and Ouyang. European Journal of Operational Research, 174, 923-929.
Chang, H.J., Teng, J.T., & Ouyang, L.Y. (2006). Retailers optimal pricing and lot-sizing policies for deteriorating items with partial backlogging. European Journal of Operational Research, 168, 51-64.
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.
Chern, M.S., Chan, Y.L., & Teng, J.T. (2005). A comparision among various inventory shortage models for deteriorating items on the basis of maximizing profit. Asia-Pacific Journal of Operational Research, 22(1), 121-134.
Chern, M.S., Yang, H.L., Teng, J.T., & papachristos, S. (2008). Prtial backlogging inventory lot-size models for deteriorating items with fluctuating demand under inflation. European Journal of Operational Research, 191, 127-141.
Chu, P., Yang, K.L., Liang, S.K., & Niu, T. (2004). Note on inventory model with a mixture of back orders and lost sales. European Journal of Operational Research, 159, 470-475.
Chung, K.J., & Cardenas-Barron, L.E. (2013). The simplified solution procedure for deteriorating items under stock dependent demand and two level trade credit in the supply chain management. Applied Mathematical Modelling, 37(7), 4653-4660.
Chung, K.J., Chu, P., & Lan, S.P. (2000). A note on EOQ models for deteriorating items under stock dependent selling rate. European Journal of Operational Research, 124, 550-559.
Chung, K.J., Chu, P., & Lan, S.P. (2000). A note on EOQ models for deteriorating items under stock dependent selling rate. European Journal of Operational Research, 124, 550-559.
Clarck, A.J., & Scarf, H. (1970). Optimal policies for a multi echelon inventory problem. Management Science, 6, 475-490.
Cobbaert, K., & Oudheusden, D.V. (1996). Inventory models for fast moving spare parts subject to “sudden death” obsolescence. International Journal of Production Economics, 44, 239-248.
Covert, R.P., & Phillip, G.C. (1973). An EOQ model for items with Weibull distribution deterioration. AIIE Transactions, 5, 323-328.
Das, B.C., Das, B., & Mondal, S.K. (2013). Integrated supply chain model for a deteriorating item with procurement cost dependent credit period. Computers & Industrial Engineering, 64(3), 788-796.
Datta, T.K., & Pal, A.K. (1990). Deterministic inventory systems for deteriorating items with inventory level-dependent demand rate and shortages. Opsearch, 27, 213-224.
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.
Dye, C.Y. (2007). Deterministic inventory model for deteriorating items with capacity constraint and time-proportional backlogging rate. European Journal of Operational Research, 178, 789-807.
Dye, C.Y., & Ouyang, L.Y. (2005). An EOQ model for perishable items under stock-dependent selling rate and time-dependent partial backlogging. European Journal of Operational Research, 163, 776-783.
Dye, C.Y., Chang, H.J., & Teng, J.T. (2006). A deteriorating inventory model with time-varying demand and shortage-dependent partial backlogging. European Journal of Operational Research, 172, 417-429.
Gayen, M., & Pal, A. K. (2009). A two ware house inventory model for deteriorating items with stock dependent demand rate and holding cost.Operational Research, 9(2), 153-165.
Ghare, P.N., & Schrader, G.F. (1963). A model for exponentially decaying inventories. Journal of International Engineering, 15, 238-243.
Ghosh, S.K., & Chaudhuri, K.S. (2005). An EOQ model for a deteriorating item with trended demand and variable backlogging with shortages in all cycles. AMO-Advanced Modeling and Optimization, 7(1), 57-68.
Giri, B.C., & Chaudhuri, K.S. (1998). Deterministic models of perishable inventory with stock dependent demand rate and nonlinear holding cost. European Journal of Operational Research, 105, 467-474.
Giri, B.C., Chakrabarty, T., & Chaudhuri, K.S. (2000). A note on a lot sizing heuristic for deteriorating items with time-varying demands and shortages. Computers and Operations Research, 27, 495-505.
Giri, B.C., Goswami, A., & Chaudhuri, K.S. (1996). An EOQ model for deteriorating items with time varying demand and costs. Journal of the Operational Research Society, 47, 1398-1405.
Goswami, A., & Chaudhuri, K.S. (1991). An EOQ model for deteriorating items with shortages and a linear trend in demand. Journal of the Operational Research Society, 42, 1105-1110.
Goswami, A., & Chaudhuri, K.S. (1992). An EOQ model for items with two levels of storage for a linear trend in demand. Journal of the Operational Research Society, 43, 157-167.
Goyal, S.K. (1985). Economic order quantity under conditions of permissible delay in payments. Journal of Operational Research Society, 36, 335-338.
Goyal, S.K., & Giri, B.C. (2001). Recent trends in modeling of deteriorating inventory. European Journal of Operational Research, 134, 1-16.
Goyal, S.K., & Giri, B.C. (2003). The production-inventory problem of a product with time varying demand,production and deterioration rates. European Journal of Operational Research, 147, 549-557.
Goyal, S.K., Morin, D., & Nebebe, F. (1992). The finite horizon trended inventory replenishment problem with shortages. Journal of Operational Research Society, 43, 1173-1178.
Hariga, M. (1993). The inventory replenishment problem with a linear trend in demand. Computers Industrial Engineering, 24, 143-150.
Hariga, M. (1994). The inventory lot-sizing with continuous time varying demand and shortages. Journal of Operational Research Society, 45(7), 827-837.
Hariga, M., & Benkherouf, L. (1994). Optimal and heuristic replenishment models for deteriorating items with exponential time varying demand. European Journal of Operational Research, 79, 123-137.
Hollier, R.H., & Mak, K.L. (1983). Inventory replenishment policies for deteriorating items in a declining market. International Journal of Production Research, 21, 813-826.
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.
Hsieh, T.P., & Dye, C.Y. (2010). Pricing and lot-sizing policies for deteriorating items with partial backlogging under inflation. Expert Systems with Application, 37(10), 7234–7242.
Hsieh, T.P., Dye, C.Y., & Ouyang, L.Y. (2008). Determining optimal lot size for a two-warehouse system with deterioration and shortages using net present value. European Journal of Operational Research, 191, 182-192.
Huang, C.K. (2002). An integrated vendor-buyer cooperative inventory model for items with imperfect quality. Production Planning and Control, 13, 355-361.
Jolai, F., Tavakoli-Moghaddam, R., Rabbani, M., & Sadoughian, M.R. (2006). An economic production lot size model with deteriorating items, stock-dependent demand and inflation and partial backlogging. Applied Mathematics and Computation, 181, 380-389.
Khanlarzade, N., Nakhai, I., & Yousefi, B. (2011). EOQ model development for perishable items under stock dependent demand and time dependent partial backlogging by using intelligent packaging. The IEEE International Confrence On Industrial Engineering and Engineering Management, Singapore.
Khanlarzade, N., Yousefi, B., & Nakhai, I. (2012). Genetic algorithm to optimize two echelon inventory control system for perishable goods in terms of active packaging. International journal of Industrial Engineering Computations, 3, 103-114.
Kim, J.S., Hwang, H., & Shinn, S.W. (1995). An optimal credit policy to increase suppliers profit with price-dependent demand functions. Production Planning and Control, 6, 45-50.
Lee, C.C. (2006). Two-warehouse inventory model with deterioration under FIFO dispatching policy. European Journal of Operational Research, 174, 861-873.
Lee, C.C., & Hsu, S.L. (2009). A two-warehouse production model for deteriorating inventory items with time-dependent demands. European Journal of Operational Research, 194, 700-710.
Lee, C.F., & Chung, C.P. (2012). An inventory model for deteriorating items in a supply chain with system dynamics analysis. Procedi-Social and Behavioral Sciences, 40, 41-51.
Liao, H.C., Tsai, C.H., & Su, C.T. (2000). An inventory model for deteriorating items under inflation when delay in payment is permissible. International Journal of Production Economics, 63, 207-214.
Liao, J.J., Huang, K.N., & Chung, K.J. (2012). Lot-sizing decisions for deteriorating items with two warehouses under an order-size-dependent trade credit. International Journal of Production Economics, 137(1), 102-115.
Lin, C., & Lin, Y. (2007). A cooperative inventory policy with deteriorating items for a two - echelon model. European Journal of Operational Research, 178, 92-111.
Mahapatra, N. K., Das, K., & Maiti, M. (2007). Production-inventory policy for a deteriorating item with a single vendor-buyer system. Optimization and Engineering, 8(4), 431-448.
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.
Maihami, R., & Nakhai, I. (2012). Joint pricing and inventory control for non-instaneuos deteriorating items with partial backlogging and time and price dependent demand. International Journal of Production Economics, 136(1), 116-122.
Maiti, M.K., & Maiti, M. (2005). Inventory of damageable items with variable replenishment and unit production cost via simulated annealing method. Computers & Industrial Engineering, 49, 432-448.
Mandal, M., & Maiti, M. (1999). Inventory of damageable items with variable replenishment rate and stock-dependent demand and some units in hand. Applied Mathematical Modelling, 23, 799-807.
Min, J., Zhou, Y.W., & Zhao, J. (2010). An inventory model for deteriorating items under stock dependent demand and two level trade credit. Applied Mathematical Modelling, 34(1), 3273-3285.
Moon, I., Giri, B.C., & Ko, B. (2005). Economic order quantity models for ameliorating/deteriorating items under inflation and time discounting. European Journal of Operational Research, 162(3), 773-785.
Nagaraju, D., Rao, A.R.K., & Babu, P.S. (2010). Two echelon inventory supply chain model for optimal total cost under inflation and deflation. International Journal of Applied Engineering Research, 5(2), 221-232.
Niu, B., & Xie, J. (2008). A note on “Two-warehouse inventory model with deterioration under FIFO dispatch policy”. European Journal of Operational Research, 190(2), 571-577.
Ouyang, L.Y., Teng, J.T., Goyal, S.K., & yang, C.T. (2009). An economic order quantity model for deteriorating items with partially permissible delay in payments linked to order quantity. European Journal of Operational Research, 194, 418-431.
Ouyang, L.Y., Wu, K.S., & Cheng, M.C. (2005). An inventory model for deteriorating items with exponential declining demand and partial backlogging. Yugoslav Journal of Operations Research, 15, 277-288.
Padmanabhan, G., & Vrat, P. (1990). An EOQ model for items with stock-dependent consumption rate exponential decay. Engineering Costs and Production Economics, 18, 241-246.
Padmanabhan, G., & Vrat, P. (1995). EOQ models for perishable items under stock-dependent selling rate. European Journal of Operational Research, 86, 281-292.
Pakkala, T.P., & Achary, K.K. (1992). A deterministic inventory model for deteriorating items with two warehouse and finite replenishment rate. European Journal of Operational Research, 57, 71-76.
Pal, A.K., Bhunia, A.K., & Mukherjee, R.N. (2006). Optimal lot size model for deteriorating items with demand rate dependent on displayed stock level(DSL) and partial backordering. European Journal of Operational Research, 175, 977-991.
Papachristos, S., & Skouri, K. (2000). An optimal replenishment policy for deteriorating items with time-varying demand and partial exponential type backlogging. Operations Research Letters, 27(4), 175-184.
Papachristos, S., & Skouri, K. (2003). An inventory model with deteriorating items and quantity discount and pricing and time-dependent partial backlogging. International Journal Production Economics, 83, 247-256.
Philip, G.C. (1974). A generalized EOQ model for items with Weibull distribution. AIIE Transaction, 6, 159-162.
Raafat, F., Wolfe, P.M., & Eidin, H.K. (1991). An inventory model for deteriorating items. Computers & Industrial Engineering, 20, 89-94.
Rau, H., Wu, M.Y., & Wee, H.M. (2003). Integrated inventory model for deteriorating items under a multi-echelon supply chain environment. International Journal of Production Economics, 86, 155-168.
Rong, M., Mahapatra, N.K., & Maiti, M. (2008). A two warehouse inventory model for a deteriorating item with partially/fully backlogged shortage and fuzzy lead time. European Journal of Operational Research, 189, 59-75.
Roy, A., Maiti, M.K., Kar, S., & Maiti, M. (2009). An inventory model for a deteriorating item with displayed stock dependent demand under fuzzy inflation and time discounting over a random planning horizon. Applied Mathematical Modelling, 33, 744-759.
Roy, T.K., & Maity, M. (1998). Multi-objective models of deteriorating items with some constraints in a fuzzy environment. Computers and Operations Research, 25, 1085-1095.
Sana, S., Goyal, S.K., & Chaudhuri, K.S. (2004). A production-inventory model for a deteriorating item with trended demand and shortages. European Journal of Operational Research, 157, 357-371.
Sarkar, B. (2013). A production inventory model with probabilistic deterioration in two-echelon supply chain management. Applied Mathematical Modeling, 37(5), 3138-3151.
Sarma, K.V.S. (1983). A deterministic inventory model with two level of storage and optimum release rule. OPsearch, 20(3), 175-180.
Sarma, K.V.S. (1987). A deterministic order level inventory model for deteriorating items with two storage facilities. European Journal of Operational Research, 29, 70-73.
Sarmah, S.P., Acharya, D., & Goyal, S.K. (2007). Coordination and profit sharing between a manufacturer and a buyer with target profit under credit option. European Journal of Operational Research, 182, 1469-1478.
Shah, N.H., Gor, A.S., & Wee, H.M. (2008). Optimal joint vendor-buyer inventory strategy for deteriorating items with salvage value. Proceedings of 14th computing: The Australian theory of symposium (CATS), 77:63-8.
Shah, Y.K. (1977). An order-level lot size inventory model for deteriorating items. IIE Transactions, 9, 108-112.
Shinn, S.W., & Hwang, H. (2003). Optimal pricing and ordering policies for retailers under order-size-dependent delay in payment. Computers and Operations Research, 30, 35-50.
Singh, S.R., Kumar, N., & Kumari, R. (2009). Two-warehouse inventory model for deteriorating items with shortages under inflation and time-value of money. International Journal of Computational and Applied Mathematics, 4(1), 83-94.
Singh, T.J., Singh, s.R., & Dutt, R. (2009). An EOQ model for perishable items with power demand and partial backlogging. IJOQM, 15(1), 65-72.
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 payments. Expert Systems with Applications, 38, 14861-14869.
Teng , J.T., Ouyang, L.Y., & Hen, L.H. (2007). A comparison between two pricing and lot-sizing models with partial backlogging and deteriorated items. International Journal of Production Economics, 105(1), 190-203.
Teng, J.T., & Chang, C.T. (2005). Economic production quantity models for deteriorating items with price and stock-dependent demand. Computers and Operations Research, 32, 297-308.
Teng, J.T., & Yang, H.L. (2004). Deterministic economic order quantity models with partial backlogging when demand and cost are fluctuating with time. Journal of the Operational Research Society, 55, 495-503.
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 shortage. Naval Research Logistics, 44, 791-806.
Tsao, Y.C., & Sheen, G.J. (2008). Dynamic pricing, promotion and replenishment policies for a deteriorating item under permissible delay in payments. Computers and Operations Research, 35, 3562-3580.
Uthayakumar, R., & Parvathi, P. (2006). A deterministic inventory model for deteriorating items with partially backlogged and stock and time dependent demand under trade credit. International Journal of Soft Computing, 1(3), 199-206.
Valliathal, M., & Uthayakumar, R. (2009). An EOQ model for perishable items under stock and time-dependent selling rate with shortages. ARPN Journal of Engineering and Applied Sciences, 4(8), 8-14.
Van beek, P., Bremer, A., & Putten, C. (1985). Design and optimization of multi-echelon assembly networks: Savings and potentialities. European Journal of Operational Research, 19, 57-67.
Wang, K.J., Lin, Y.S., & Yu, J.CP. (2011). Optimizing inventory policy for products with time-sensitive deteriorating rates in a multi-echelon supply chain. International Journal of Production Economics, 130(1), 66-76.
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., Chung, C.J., & Yang, P.C. (2008). An integrated vendor - buyer deteriorating item ordering policy. Proceedings of the seventh International Conference on Machine Learning and Cybernetics, Kunming, 12-15.
Wee, H.M. (1993). Economic production lot-size model for deteriorating items with partial backordering. Computer & Industrial Engineering, 24, 449-458.
Wee, H.M. (1995). A deterministic lot-size inventory model for deteriorating items with shortage and a declining market. Computers and Operations Research, 22, 345-356.
Wee, H.M. (1995). Joint pricing and replenishment policy for deteriorating inventory with declining market. International Journal of Production Economic, 40, 163-171.
Wee, H.M. (1997). A replenishment policy for items with price dependent demand and a varying rate of deterioration. Production Planning and Control, 8, 494- 499.
Wee, H.M. (1999). Deteriorating inventory model with quantity discount and pricing and partial backordering. International Journal Economics, 59, 511-518.
Wee, H.M., Yu, J.C.P., Wang, K.J., & Widyadana, G.A. (2008). Using an AI approach to solve an integrated two-echelon deteriorating inventory model. APIEMS, 1330-1338.
Whitin, T.M. (1957),. Theory of Inventory Management, Princeton University Press. Princeton, NJ.
Williams, C.L., & Patuwo, B.E. (1999). A perishable inventory model with positive order lead times. European Journal of Operational and Research, 116, 352-373.
Wu, K.S. (2002). EOQ inventory model for items with Weibull distribution deterioration and time-varying demand and partial backlogging. International Journal of systems Science, 33, 323-329.
Xu, H., & Wang, H. (1992). Optimal inventory policy for perishable items with time proportional demand. IIE Transactions, 24, 105-110.
Yang , P.C, & Wee, H.M. (2000). Economic ordering policy of deteriorated item for vendor and buyer: An integrated approach. Production Planning and Control, 11(5), 474-480.
Yang, H.L. (2004). Two ware house inventory models for deteriorating items with shortages under inflation. European Journal of Operational Research, 157, 344-356.
Yang, H.L. (2005). A comparison among various partial backlogging inventory lot-size models for deteriorating items on the basis of maximum profit. International Journal of Production Economics, 96, 119-128.
Yang, H.L. (2006). Two-warehouse partial backlogging inventory models for deteriorating items under inflation. International Journal of Production Economics, 103, 362-370.
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.
Yang, P.C. (2004). Pricing strategy for deteriorating items using quantity discount when demand is price sensitive. European Journal of Operational Research, 157, 389-397.
Yang, P.C., & Wee, H.M. (2002). A single-vendor and multi-buyers production-inventory policy for a deteriorating item. European Journal of Operational Research, 143, 570-581.
Yang, P.C., Wee, H.M., & Hsu, P.H. (2008). Collaborative vendor–buyer inventory system with declining market. Computers & Industrial Engineering, 54(1), 128-139.
You, P.S., & Hsieh, Y.C. (2007). An EOQ model with stock and price sensitive demand. Mathematical and Computer Modelling, 45, 933-942.