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How to cite this paper
APA: Debata, S., Acharya, M & Samanta, G. (2015). An inventory model for perishable items with quadratic trapezoidal type demand under partial backlogging. International Journal of Industrial Engineering Computations, 6(2), 185-198.
Chicago/Turabian: Debata, S., Acharya, M & Samanta, G. 2015. "An inventory model for perishable items with quadratic trapezoidal type demand under partial backlogging." International Journal of Industrial Engineering Computations 6, no. 2 (2015): 185-198.
AMA: Debata, S., Acharya, M & Samanta, G. An inventory model for perishable items with quadratic trapezoidal type demand under partial backlogging. International Journal of Industrial Engineering Computations. 2015;6(2):185-198.
References
Abad, P. L. (1996). Optimal pricing and lot sizing under conditions of perish-ability and partial back ordering. Management Science, 42, 1093-1104.
Abad, P. L. (2001). Optimal price and order size for a reseller under partial back ordering. Computers and Operations Research, 28, 53-65.
Benkherouf, L., Boumenir, A., & Aggoun, L. (2003). A diffusion inventory model for deteriorating items. Applied Mathematics and Computation, 138, 21-39.
Bhattacharya, D. K. (2005). On multi item inventory. European Journal of Operational Research, 162, 786-791.
Cheng, M., Zhang, B., & Wang, G. (2011). Optimal policy for deteriorating items with trapezoidal type demand and partial backlogging. Applied Mathematical Modeling, 35, 3552-3560.
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., 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., & Lin, C. N. (2001). Optimal inventory replenishment models for deteriorating items taking account of time discounting. Computers and Operations Research, 28, 67-83.
Chung, M., & Wang, G. (2009). A note on the inventory model for deteriorating items with trapezoidal type demand rate. Computers and Industrial Engineering, 56, 1296-1300.
Dave, U. (1989). A deterministic lot size inventory model with shortages and a linear trend in demand. Naval Research Logistics, 36, 507-514.
Deng, P. S. (2005). Improved inventory models with ramp type demand and Weibull deterioration. International Journal of Information and Management Sciences, 16, 79-86.
Deng, P. S., Lin, R., & Peter, Chu. P. (2007). A note on inventory models for deteriorating items with ramp type demand rate. European Journal of Operational Research, 178, 112-120.
Ghare, P. M., & Schrader, G. P. (1963). A model for an exponentially decaying inventory, Journal of Industrial Engineering, 14, 5.
Giri, B. C., & Chaudhuri, K. S. (1998). Deterministic models of perishable inventory with stock dependent demand rate and non-linear holding cost. European Journal of Operational Research, 105, 467-474.
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 system and science, 34, 237-243.
Hennery, R. J. (1979). Inventory replenishment policy for increasing demand. Journal of the Operational Research Society, 30, 611-617.
Hill, R. M. (1995). Inventory models for increasing demand followed by level demand. Journal of the Operational Research Society, 46, 1250-1259.
Hung, K. C. (2011). An inventory model with generalized type demand, deterioration and back order rates. European Journal of Operational Research, 208, 239-242.
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.
Manna, S. K., & Chaudhuri, K. S. (2006). An EOQ model with ramp type demand rate, time dependent deterioration rate, unit production cost and shortages. European Journal of Operational Research, 171, 557-566.
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, 4-8.
Padmanabhan, G. (1990). Inventory model with a mixture of back-orders and lost sales. International Journal of System Science, 21, 1721-1726.
Panda, G. C., Sahoo, S., & Sukla, P. K. (2012), Analysis of constant deteriorating inventory management with quadratic demand rate. American Journal of Operational Research, 2, 98-103.
Panda, S., Senapati, S., & Basu, M. (2008). Optimal replenishment policy for perishable seasonal products in a season with ramp type time dependent demand. Computers and Industrial Engineering, 54, 301-314.
Panda, S., Saha, S., & Basu, M. (2007). An EOQ model with generalized ramp type demand and Weibull distribution deterioration. Asia-Pacific Journal of Operations Research, 24, 93-109.
Resh, M., Friedman, M., & Barbosa, L. C. (1979). On a general solution of the deterministic lot size problem with time proportional demand. Operations Research, 24, 718-725.
Sachan, R. S. (1984). On policy inventory model for deteriorating items with time proportional demand. Journal of the Operational Research Society, 35, 1013-1019.
Set, B. K., Sarkar, B., & Goswami, A. (2013). A two-warehouse inventory model with increasing demand and time varying deterioration. Scientia Iranica E, 19, 1969-1977.
Teng, J. T. (1996). A deterministic replenishment model with linear trend in demand. Operations Research Letters, 19, 33-41.
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.
Wee, H. M. (1993). Economic production lot size model for deteriorating items with partial back ordering. Computer and Industrial Engineering, 24, 449-458.
Wee, H. M. (1995). Joint price and replenishment policy for deteriorating inventory with declining market. International Journal of Production Economics, 40, 163-171.
Wee, H. M., & Law, S. T. (1999). Economic production lot size for deteriorating items taking account of the time value of money. Computers and Operations Research, 26, 545-558.
Whitin, T. M. (1957). Theory of inventory management. Princeton University Press, Princeton NJ, 62-72.
Wu, J. W., Lin, C., Tan, B., & Lee, W. C. (1999). An EOQ with ramp type demand rate for deteriorating items with Weibull deterioration. International Journal of Information and Management Sciences, 10, 41-51.
Wu, K. S. (2001). An EOQ inventory model for items with Weibull distribution deterioration, ramp type demand rate and partial back logging. Production Planning and Control, 12, 787-793.
Wu, K. S., & Ouyang, L. Y. (2000). A replenishment policy for deteriorating items with ramp type demand rate. Proceeding of National Science Council ROC (A), 24, 279-286.
Wu, K. S., Ouyang, L. Y., & Yang, C. T. (2006). An optimal replenishment policy for non-instantaneous deteriorating items with stock dependent demand and partial back logging. International Journal of Production Economics, 101, 369-384.
Wu, K. S., Ouyang, L. Y., & Yang, C. T. (2008). Retailer’s optimal ordering policy for deteriorating items with ramp type demand under stock dependent consumption rate. International Journal of Information and Management Sciences, 19, 245-262.
Abad, P. L. (2001). Optimal price and order size for a reseller under partial back ordering. Computers and Operations Research, 28, 53-65.
Benkherouf, L., Boumenir, A., & Aggoun, L. (2003). A diffusion inventory model for deteriorating items. Applied Mathematics and Computation, 138, 21-39.
Bhattacharya, D. K. (2005). On multi item inventory. European Journal of Operational Research, 162, 786-791.
Cheng, M., Zhang, B., & Wang, G. (2011). Optimal policy for deteriorating items with trapezoidal type demand and partial backlogging. Applied Mathematical Modeling, 35, 3552-3560.
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., 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., & Lin, C. N. (2001). Optimal inventory replenishment models for deteriorating items taking account of time discounting. Computers and Operations Research, 28, 67-83.
Chung, M., & Wang, G. (2009). A note on the inventory model for deteriorating items with trapezoidal type demand rate. Computers and Industrial Engineering, 56, 1296-1300.
Dave, U. (1989). A deterministic lot size inventory model with shortages and a linear trend in demand. Naval Research Logistics, 36, 507-514.
Deng, P. S. (2005). Improved inventory models with ramp type demand and Weibull deterioration. International Journal of Information and Management Sciences, 16, 79-86.
Deng, P. S., Lin, R., & Peter, Chu. P. (2007). A note on inventory models for deteriorating items with ramp type demand rate. European Journal of Operational Research, 178, 112-120.
Ghare, P. M., & Schrader, G. P. (1963). A model for an exponentially decaying inventory, Journal of Industrial Engineering, 14, 5.
Giri, B. C., & Chaudhuri, K. S. (1998). Deterministic models of perishable inventory with stock dependent demand rate and non-linear holding cost. European Journal of Operational Research, 105, 467-474.
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 system and science, 34, 237-243.
Hennery, R. J. (1979). Inventory replenishment policy for increasing demand. Journal of the Operational Research Society, 30, 611-617.
Hill, R. M. (1995). Inventory models for increasing demand followed by level demand. Journal of the Operational Research Society, 46, 1250-1259.
Hung, K. C. (2011). An inventory model with generalized type demand, deterioration and back order rates. European Journal of Operational Research, 208, 239-242.
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.
Manna, S. K., & Chaudhuri, K. S. (2006). An EOQ model with ramp type demand rate, time dependent deterioration rate, unit production cost and shortages. European Journal of Operational Research, 171, 557-566.
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, 4-8.
Padmanabhan, G. (1990). Inventory model with a mixture of back-orders and lost sales. International Journal of System Science, 21, 1721-1726.
Panda, G. C., Sahoo, S., & Sukla, P. K. (2012), Analysis of constant deteriorating inventory management with quadratic demand rate. American Journal of Operational Research, 2, 98-103.
Panda, S., Senapati, S., & Basu, M. (2008). Optimal replenishment policy for perishable seasonal products in a season with ramp type time dependent demand. Computers and Industrial Engineering, 54, 301-314.
Panda, S., Saha, S., & Basu, M. (2007). An EOQ model with generalized ramp type demand and Weibull distribution deterioration. Asia-Pacific Journal of Operations Research, 24, 93-109.
Resh, M., Friedman, M., & Barbosa, L. C. (1979). On a general solution of the deterministic lot size problem with time proportional demand. Operations Research, 24, 718-725.
Sachan, R. S. (1984). On policy inventory model for deteriorating items with time proportional demand. Journal of the Operational Research Society, 35, 1013-1019.
Set, B. K., Sarkar, B., & Goswami, A. (2013). A two-warehouse inventory model with increasing demand and time varying deterioration. Scientia Iranica E, 19, 1969-1977.
Teng, J. T. (1996). A deterministic replenishment model with linear trend in demand. Operations Research Letters, 19, 33-41.
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.
Wee, H. M. (1993). Economic production lot size model for deteriorating items with partial back ordering. Computer and Industrial Engineering, 24, 449-458.
Wee, H. M. (1995). Joint price and replenishment policy for deteriorating inventory with declining market. International Journal of Production Economics, 40, 163-171.
Wee, H. M., & Law, S. T. (1999). Economic production lot size for deteriorating items taking account of the time value of money. Computers and Operations Research, 26, 545-558.
Whitin, T. M. (1957). Theory of inventory management. Princeton University Press, Princeton NJ, 62-72.
Wu, J. W., Lin, C., Tan, B., & Lee, W. C. (1999). An EOQ with ramp type demand rate for deteriorating items with Weibull deterioration. International Journal of Information and Management Sciences, 10, 41-51.
Wu, K. S. (2001). An EOQ inventory model for items with Weibull distribution deterioration, ramp type demand rate and partial back logging. Production Planning and Control, 12, 787-793.
Wu, K. S., & Ouyang, L. Y. (2000). A replenishment policy for deteriorating items with ramp type demand rate. Proceeding of National Science Council ROC (A), 24, 279-286.
Wu, K. S., Ouyang, L. Y., & Yang, C. T. (2006). An optimal replenishment policy for non-instantaneous deteriorating items with stock dependent demand and partial back logging. International Journal of Production Economics, 101, 369-384.
Wu, K. S., Ouyang, L. Y., & Yang, C. T. (2008). Retailer’s optimal ordering policy for deteriorating items with ramp type demand under stock dependent consumption rate. International Journal of Information and Management Sciences, 19, 245-262.