How to cite this paper
Tyagi, A. (2015). Optimal lot size for an item when holding cost is moved by depletion rate of inventory above a certain stock level.Uncertain Supply Chain Management, 3(4), 381-396.
Refrences
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.
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, (2), 223-240.
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, (11), 1176–1182.
Chang, C.T. (2004). Inventory models with stock-dependent demand and nonlinear holding costs for deteriorating items. Asia-Pacific Journal of Operational Research, 21, 435-446.
Datta,T.K. & Pal, A.K., (1990). A note on an inventory-level-dependent demand rate. Journal of the Operational Research Society, 41, 971-975.
Datta, T.K. & Paul, K. (2001). An inventory system with stock-dependent, price-sensitive demand rate. Production Planning and Control, 12, 13-20.
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.
Goh, M., (1994). EOQ models with general demand and holding cost functions. European Journal of Operational Research, 73, (1), 50–54.
Giri, B.C., Pal, S., Goswami, A., & Chaudhuri, K.S. (1996). An inventory model for deteriorating items with stock-dependent demand rate. European Journal of Operational Research, 95, 604-610.
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 (3), 467–474.
Goyal, S.K. & Chang, C.T. (2009). Optimal ordering and transfer policy for an inventory with stock dependent demand. European Journal of Operational Research, 196, 177-185.
Hou, K.L. & Lin, L.C. (2006). An EOQ model for deteriorating items with price-and stock-dependent selling rate under inflation and time value of money. International Journal of Systems Science, 37, 1131-1139.
Hsieh, T.P., Dye, C.Y. & Ouyang, L.Y., (2010). Optimal lot size for an item with partial backlogging rate when demand is stimulated by inventory above a certain stock level. Mathematical and Computer Modelling, 51, 13-32.
Levin, R.I., McLaughlin, C.P., Lamone, R.P. & Kottas, J.F. (1972). Productions Operations Management: Contemporary Policy for Managing Operating Systems, 373, McGraw-Hill, New York.
Levin, R.I., Baker, R.C., & Urban, T.L. (1988). A deterministic inventory system with an inventory level-dependent demand rate. Journal of the Operational Research Society, 39(9), 823–831.
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.
Mak, K.L. (1987). Determining optimal production-inventory control policies for an inventory system with partial backlogging. Computers & Operations Research, 14(4), 299–304.
Mandal, M., & Maiti, M. (1997). Inventory model for damageable items with stock-dependent demand and shortages. Opsearch, 34(3), 155–166.
Mandal, M., & Maiti, M. (1999). Inventory of damageable items with variable replenishment rate, stock-dependent demand and some units in hand. Applied Mathematical Modelling, 23(10), 799–807.
Min, J. & Zhou, Y.W. (2009). A perishable inventory model under stock-dependent selling rate and shortage-dependent partial backlogging with capacity constraint. International Journal of Systems Science, 40, 33-44.
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.
Park, K.S. (1982). Inventory model with partial backorders. International Journal of Systems Science, 13(12), 1313–1317.
Pal, S., Goswami, A. & Chaudhuri, K.S. (1993). A deterministic inventory model for deteriorating items with stock-dependent rate. International Journal of Production Economics, 32, 291-299.
Padmanabhan, G. & Vrat, P. (1995). EOQ models for perishable items under stock-dependent selling rate. European Journal of Operational Research, 86, 281-292.
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.
Rosenberg, D., (1979). A new analysis of a lot-size model with partial backlogging. Naval Research Logistics Quarterly, 26(2), 349–353.
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.
Sarker, B.R., Mukherjee, S. & Balan, C.V. (1997). An order-level lot size inventory model with inventory-level dependent demand and deterioration. International Journal of Production Economics, 48, 227-236.
Teng, J.T., Chang, H.J., Dye, C.Y. & Hung, C.H. (2002). An optimal replenish- ment policy for deteriorating items with time-varying demand and partial backlogging. Operations Research Letters, 30(6), 387–393.
Teng, J.T., Yang, H.L. & Ouyang, L.Y. (2003). On an EOQ model for deteriorating items with time- varying demand and partial back- logging. Journal of the Operational Research Society, 54(4), 432–436.
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(5), 495–503.
Tyagi, A.P., Pandey, R.K. & Singh, S.R. (2012). Optimization of inventory model for decaying item with variable holding cost and power demand. Proceedings of National Conference on Trends & Advances in Mechanical Engineering, ISBN: 978-93-5087-574-2, 774-781.
Tripathi, R.P. (2013). Inventory model with different demand rate and different holding cost. International Journal of Industrial Engineering Computations, 4, 437–446.
Tyagi, A.P., (2014). An optimization of an inventory model of decaying-lot depleted by declining market demand and extended with discretely variable holding costs. International Journal of Industrial Engineering Computations, 5, 71-86.
Tyagi, A.P., Pandey, R.K. & Singh, S. (2014). An optimal replenishment policy for non-instantaneous deteriorating items with stock-dependent demand and variable holding cost. International Journal of Operational Research, 21(4), 466–488.
Urban, T.L. (1992). An inventory model with an inventory-level-dependent demand rate and relaxed terminal conditions. Journal of the Operational Research Society, 43,721-724.
Weiss, H.J. (1982). Economic order quantity models with nonlinear holding costs. European Journal of Operational Research, 9(1), 56–60.
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(1), 119–128.
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, (2), 223-240.
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, (11), 1176–1182.
Chang, C.T. (2004). Inventory models with stock-dependent demand and nonlinear holding costs for deteriorating items. Asia-Pacific Journal of Operational Research, 21, 435-446.
Datta,T.K. & Pal, A.K., (1990). A note on an inventory-level-dependent demand rate. Journal of the Operational Research Society, 41, 971-975.
Datta, T.K. & Paul, K. (2001). An inventory system with stock-dependent, price-sensitive demand rate. Production Planning and Control, 12, 13-20.
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.
Goh, M., (1994). EOQ models with general demand and holding cost functions. European Journal of Operational Research, 73, (1), 50–54.
Giri, B.C., Pal, S., Goswami, A., & Chaudhuri, K.S. (1996). An inventory model for deteriorating items with stock-dependent demand rate. European Journal of Operational Research, 95, 604-610.
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 (3), 467–474.
Goyal, S.K. & Chang, C.T. (2009). Optimal ordering and transfer policy for an inventory with stock dependent demand. European Journal of Operational Research, 196, 177-185.
Hou, K.L. & Lin, L.C. (2006). An EOQ model for deteriorating items with price-and stock-dependent selling rate under inflation and time value of money. International Journal of Systems Science, 37, 1131-1139.
Hsieh, T.P., Dye, C.Y. & Ouyang, L.Y., (2010). Optimal lot size for an item with partial backlogging rate when demand is stimulated by inventory above a certain stock level. Mathematical and Computer Modelling, 51, 13-32.
Levin, R.I., McLaughlin, C.P., Lamone, R.P. & Kottas, J.F. (1972). Productions Operations Management: Contemporary Policy for Managing Operating Systems, 373, McGraw-Hill, New York.
Levin, R.I., Baker, R.C., & Urban, T.L. (1988). A deterministic inventory system with an inventory level-dependent demand rate. Journal of the Operational Research Society, 39(9), 823–831.
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.
Mak, K.L. (1987). Determining optimal production-inventory control policies for an inventory system with partial backlogging. Computers & Operations Research, 14(4), 299–304.
Mandal, M., & Maiti, M. (1997). Inventory model for damageable items with stock-dependent demand and shortages. Opsearch, 34(3), 155–166.
Mandal, M., & Maiti, M. (1999). Inventory of damageable items with variable replenishment rate, stock-dependent demand and some units in hand. Applied Mathematical Modelling, 23(10), 799–807.
Min, J. & Zhou, Y.W. (2009). A perishable inventory model under stock-dependent selling rate and shortage-dependent partial backlogging with capacity constraint. International Journal of Systems Science, 40, 33-44.
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.
Park, K.S. (1982). Inventory model with partial backorders. International Journal of Systems Science, 13(12), 1313–1317.
Pal, S., Goswami, A. & Chaudhuri, K.S. (1993). A deterministic inventory model for deteriorating items with stock-dependent rate. International Journal of Production Economics, 32, 291-299.
Padmanabhan, G. & Vrat, P. (1995). EOQ models for perishable items under stock-dependent selling rate. European Journal of Operational Research, 86, 281-292.
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.
Rosenberg, D., (1979). A new analysis of a lot-size model with partial backlogging. Naval Research Logistics Quarterly, 26(2), 349–353.
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.
Sarker, B.R., Mukherjee, S. & Balan, C.V. (1997). An order-level lot size inventory model with inventory-level dependent demand and deterioration. International Journal of Production Economics, 48, 227-236.
Teng, J.T., Chang, H.J., Dye, C.Y. & Hung, C.H. (2002). An optimal replenish- ment policy for deteriorating items with time-varying demand and partial backlogging. Operations Research Letters, 30(6), 387–393.
Teng, J.T., Yang, H.L. & Ouyang, L.Y. (2003). On an EOQ model for deteriorating items with time- varying demand and partial back- logging. Journal of the Operational Research Society, 54(4), 432–436.
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(5), 495–503.
Tyagi, A.P., Pandey, R.K. & Singh, S.R. (2012). Optimization of inventory model for decaying item with variable holding cost and power demand. Proceedings of National Conference on Trends & Advances in Mechanical Engineering, ISBN: 978-93-5087-574-2, 774-781.
Tripathi, R.P. (2013). Inventory model with different demand rate and different holding cost. International Journal of Industrial Engineering Computations, 4, 437–446.
Tyagi, A.P., (2014). An optimization of an inventory model of decaying-lot depleted by declining market demand and extended with discretely variable holding costs. International Journal of Industrial Engineering Computations, 5, 71-86.
Tyagi, A.P., Pandey, R.K. & Singh, S. (2014). An optimal replenishment policy for non-instantaneous deteriorating items with stock-dependent demand and variable holding cost. International Journal of Operational Research, 21(4), 466–488.
Urban, T.L. (1992). An inventory model with an inventory-level-dependent demand rate and relaxed terminal conditions. Journal of the Operational Research Society, 43,721-724.
Weiss, H.J. (1982). Economic order quantity models with nonlinear holding costs. European Journal of Operational Research, 9(1), 56–60.
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(1), 119–128.