How to cite this paper
Gholami-Qadikolaei, A., Mirzazadeh, A & Kajizad, M. (2012). A multi-item inventory system with expected shortage level-dependent backorder rate with working capital and space restrictions.International Journal of Industrial Engineering Computations , 3(2), 225-240.
Refrences
Abad, P.L. (1996). Optimal pricing and lot sizing under condition of perishability and partial backordering. Management Science, 42, 1093-1104.
Bagchi, U., Hayya, J. C., & Chu, C. H. (1986). The effect of lead-time variability: the case of independent demand. Journal of Operations Management, 6(2),159-177.
Ben-Daya, M., & Rauf, A. (1994). Inventory models involving lead-time as a decision variable. Journal of Operational Research Society, 45(5),579-582.
Brown, R.G., & Gerson, G. (1967). Decision rules for inventory management, Holt, Rinehart and Winston, New York .
Burgin, T.A. (2007). Inventory control with normal demand and gamma lead time. Operational research, 23, 73-80.
Callego, G., & Moon, I. (1993). The distribution of free news boy problem: review and extension. Journal of operational research society, 44, 825-834.
Charnes, A., & Cooper, W.W. (1959). Chance constrained programming. Management Science, 6, 73-79.
Gardner, E.S. (1983). Approximate decision rules for continuous review inventory systems. Naval Research Logistics, 30, 59-68.
Hadely, G. & Whitin, T.M. (1963). Analysis of inventory system. Prentice Hall: Englewood cliffs.
Lee, W.C. (2005). Inventory model involving controllable backorder rate and lead time demand with the mixture of distribution. Applied mathematics and computation, 160, 701-717.
Lee, W.C., Wu, J.W., & Hsu, J.W. (2006). Computational algorithm for inventory model with a service level constraint, lead time demand with mixture of distributions and controllable negative exponential backorder rate. Applied Mathematics and Computation, 175, 1125-1138.
Lee, W.C., Wu, J.W. & Lei, C.L. (2007). Computational algorithmic procedure for optimal inventory policy involving ordering cost reduction and backorder discounts when lead time demand is controllable. Applied mathematics and computation, 189, 186-200.
Liao, C.J., & Shyu, C.H. (1991). An analytical determination of lead time with normal demand. International journal of operation production management, 11, 72-78.
Montgomery, D.C., Bazaraa, M.S. & Keswani, A.K. (1973). Inventory models with a mixture of backorders and lost sales. Naval Research Logistics, 20, 255-263.
Mood, A.M, Graibill, F.A. & Boes, D.L. (1974). Introduction to theory of statistics. New York: Mc Graw Hill.
Ord, J.K., & Bagchi, U. (2006). The truncated normal-gamma mixture as a distribution of lead time demand. Naval Research Logistic, 30, 359-365.
Ouyang, L.Y., & Chaung, B.R. (2001). Mixture inventory model involving variable lead time and controllable backorder rate. Computer and industrial engineering, 40, 339-348.
Ouyang, L.Y. & Wu, K.S. (1996). A mixture distribution free procedure for mixed inventory model with variable leadtime. International Journal of Production Economic, 56, 511-516.
Ouyang, L.Y., Yen, N.C. & Wu, K.S. (1996). Mixture inventory models with backorders and lost sales for variable lead time. Journal of Operational Research Society, 47, 829-832.
Papachristors, S., & Skouri, K. (2000). An optimal replenishment policy for deteriorating items with time-varying demand and partial-exponential type-backlogging. Operation Research Letters, 27, 175-184.
Pardolas, P.M. & Resendem, M. (2002). Hand Book of Applied Optimization. Oxford university press.
Park, C. (2007). An analysis of the lead time demand distributions in stochastic inventory system. International Journal of Production Economic, 32, 285-296.
Parker, L.L. (1964). Economical reorder quantities and reorder points with uncertain demand. Naval Research Logistics, 11, 351-358.
San Jose, L.A., Silica, J. & Gracia-Lagona, J. (2005). The lot size-reorder level inventory system with customers impatience functions. Computer & Industrial Engineering, 49, 349-362.
Shrady, D.A., & Choe, U.C. (1971). Models for multi-item inventory continuous review inventory policies subject to constraints. Naval Research Logistics, 18, 451-464.
Shroeder, R.G. (1974). Marginal inventory formulations with stock out objectives and fiscal constraints, Naval Research Logistics, 21, 375-388.
Silica, J., San Jose, L.A. & Garcia-Laguna, J. (2007). An Inventory model with rational type-backlogged demand rate and quadratic backlogging cost, in: Proceeding of the 2007 IEEE, IEEM, 958-962.
Silica, J., San Jose, L.A. & Garcia-Laguna, J. (2009).An optimal replenishment policy foe an EOQ model with partial backordering. Annals of Operation Research, 169, 93-116.
Silver, E.A., & Peterson, R. (1985). Decision system for inventory management and production planning. New York: Wiley.
Tersine R.J. (1994). Principle of Inventory and Material Management. 4th Ed., 1994, Prentice-Hall, USA
Tinarelli, G.U. (1983). Inventory control: models and problem. European journal of operational research, 4, 1-12.
Yano, C.A. (1976). New Algorithm for (Q,r) system with complete backordering using a fill-rate criterion. Naval research logistics, 23, 120-128.
Bagchi, U., Hayya, J. C., & Chu, C. H. (1986). The effect of lead-time variability: the case of independent demand. Journal of Operations Management, 6(2),159-177.
Ben-Daya, M., & Rauf, A. (1994). Inventory models involving lead-time as a decision variable. Journal of Operational Research Society, 45(5),579-582.
Brown, R.G., & Gerson, G. (1967). Decision rules for inventory management, Holt, Rinehart and Winston, New York .
Burgin, T.A. (2007). Inventory control with normal demand and gamma lead time. Operational research, 23, 73-80.
Callego, G., & Moon, I. (1993). The distribution of free news boy problem: review and extension. Journal of operational research society, 44, 825-834.
Charnes, A., & Cooper, W.W. (1959). Chance constrained programming. Management Science, 6, 73-79.
Gardner, E.S. (1983). Approximate decision rules for continuous review inventory systems. Naval Research Logistics, 30, 59-68.
Hadely, G. & Whitin, T.M. (1963). Analysis of inventory system. Prentice Hall: Englewood cliffs.
Lee, W.C. (2005). Inventory model involving controllable backorder rate and lead time demand with the mixture of distribution. Applied mathematics and computation, 160, 701-717.
Lee, W.C., Wu, J.W., & Hsu, J.W. (2006). Computational algorithm for inventory model with a service level constraint, lead time demand with mixture of distributions and controllable negative exponential backorder rate. Applied Mathematics and Computation, 175, 1125-1138.
Lee, W.C., Wu, J.W. & Lei, C.L. (2007). Computational algorithmic procedure for optimal inventory policy involving ordering cost reduction and backorder discounts when lead time demand is controllable. Applied mathematics and computation, 189, 186-200.
Liao, C.J., & Shyu, C.H. (1991). An analytical determination of lead time with normal demand. International journal of operation production management, 11, 72-78.
Montgomery, D.C., Bazaraa, M.S. & Keswani, A.K. (1973). Inventory models with a mixture of backorders and lost sales. Naval Research Logistics, 20, 255-263.
Mood, A.M, Graibill, F.A. & Boes, D.L. (1974). Introduction to theory of statistics. New York: Mc Graw Hill.
Ord, J.K., & Bagchi, U. (2006). The truncated normal-gamma mixture as a distribution of lead time demand. Naval Research Logistic, 30, 359-365.
Ouyang, L.Y., & Chaung, B.R. (2001). Mixture inventory model involving variable lead time and controllable backorder rate. Computer and industrial engineering, 40, 339-348.
Ouyang, L.Y. & Wu, K.S. (1996). A mixture distribution free procedure for mixed inventory model with variable leadtime. International Journal of Production Economic, 56, 511-516.
Ouyang, L.Y., Yen, N.C. & Wu, K.S. (1996). Mixture inventory models with backorders and lost sales for variable lead time. Journal of Operational Research Society, 47, 829-832.
Papachristors, S., & Skouri, K. (2000). An optimal replenishment policy for deteriorating items with time-varying demand and partial-exponential type-backlogging. Operation Research Letters, 27, 175-184.
Pardolas, P.M. & Resendem, M. (2002). Hand Book of Applied Optimization. Oxford university press.
Park, C. (2007). An analysis of the lead time demand distributions in stochastic inventory system. International Journal of Production Economic, 32, 285-296.
Parker, L.L. (1964). Economical reorder quantities and reorder points with uncertain demand. Naval Research Logistics, 11, 351-358.
San Jose, L.A., Silica, J. & Gracia-Lagona, J. (2005). The lot size-reorder level inventory system with customers impatience functions. Computer & Industrial Engineering, 49, 349-362.
Shrady, D.A., & Choe, U.C. (1971). Models for multi-item inventory continuous review inventory policies subject to constraints. Naval Research Logistics, 18, 451-464.
Shroeder, R.G. (1974). Marginal inventory formulations with stock out objectives and fiscal constraints, Naval Research Logistics, 21, 375-388.
Silica, J., San Jose, L.A. & Garcia-Laguna, J. (2007). An Inventory model with rational type-backlogged demand rate and quadratic backlogging cost, in: Proceeding of the 2007 IEEE, IEEM, 958-962.
Silica, J., San Jose, L.A. & Garcia-Laguna, J. (2009).An optimal replenishment policy foe an EOQ model with partial backordering. Annals of Operation Research, 169, 93-116.
Silver, E.A., & Peterson, R. (1985). Decision system for inventory management and production planning. New York: Wiley.
Tersine R.J. (1994). Principle of Inventory and Material Management. 4th Ed., 1994, Prentice-Hall, USA
Tinarelli, G.U. (1983). Inventory control: models and problem. European journal of operational research, 4, 1-12.
Yano, C.A. (1976). New Algorithm for (Q,r) system with complete backordering using a fill-rate criterion. Naval research logistics, 23, 120-128.