An EOQ Model for Deteriorating Items with Linear Time-dependent Demand Rate and Shortages under Inflation and Time Discounting

An economic order quantity (EOQ) inventory model for deteriorating goods is developed with a linear, positive trend in demand allowing inventory shortages and backlogging. The effects of inflation and the time-value of money are incorporated into the model, considering two separate inflation rates: namely, the internal (company) inflation rate and the external (general economy) inflation rate. It is assumed that the goods in the inventory deteriorate over time at a constant rate θ. The inventory policy is discussed over a finite time-horizon with several reorder points. The results are discussed with a numerical example and a sensitivity analysis of the optimal solution with respect to the parameters of the system is carried out. Several particular cases of the model are discussed in brief.

[1]  Robert Dorfman,et al.  The Theory of Inventory Management. , 1954 .

[2]  P. M. Ghare.  A model for an exponentially decaying inventory , 1963 .

[3]  Arthur F. Veinott,et al.  Analysis of Inventory Systems , 1963 .

[4]  George C. Philip,et al.  An EOQ Model for Items with Weibull Distribution Deterioration , 1973 .

[5]  Production and Inventory Control: Theory and Practice , 1973 .

[6]  George C. Philip,et al.  A Generalized EOQ Model for Items with Weibull Distribution Deterioration , 1974 .

[7]  R. Misra.  Optimum production lot size model for a system with deteriorating inventory , 1975 .

[8]  J. Buzacott.  Economic Order Quantities with Inflation , 1975 .

[9]  R. Misra,et al.  EOQ model with continuous compounding , 1977 .

[10]  W. A. Donaldson.  Inventory Replenishment Policy for a Linear Trend in Demand An Analytical Solution , 1977 .

[11]  H. Bierman,et al.  INVENTORY DECISIONS UNDER INFLATIONARY CONDITIONS , 1977 .

[12]  J. J. Mcdonald.  Inventory Replenishment Policies — Computational Solutions , 1979 .

[13]  R. Misra.  A note on optimal inventory management under inflation , 1979 .

[14]  U. Dave,et al.  (T, Si) Policy Inventory Model for Deteriorating Items with Time Proportional Demand , 1981 .

[15]  M. Chandra,et al.  The effects of inflation and the time value of money on some inventory systems , 1985 .

[16]  K. Chaudhuri,et al.  A Note on the Heuristic for Replenishment of Trended Inventories Considering Shortages , 1987 .

[17]  Suresh Kumar Goyal.  A Heuristic for Replenishment of Trended Inventories Considering Shortages , 1988 .

[18]  T. M. Murdeshwar.  Inventory Replenishment Policy for Linearly Increasing Demand Considering Shortages-An Optimal Solution , 1988 .

[19]  Hamid Bahari-Kashani.  Replenishment Schedule for Deteriorating Items with Time-Proportional Demand , 1989 .

[20]  A Comment on ‘Inventory Replenishment Policy for Linearly Increasing Demand Considering Shortages — An Optimal Solution’ by T. M. Murdeshwar: Reply , 1989 .

[21]  Upendra Dave.  A Comment on ‘Inventory Replenishment Policy for Linearly Increasing Demand Considering Shortages — An Optimal Solution’ by T. M. Murdeshwar , 1989 .

[22]  Upendra Dave.  On a Heuristic Inventory-replenishment Rule for Items with a Linearly Increasing Demand Incorporating Shortages , 1989 .

[23]  T. Datta,et al.  Effects of inflation and time-value of money on an inventory model with linear time-dependent demand rate and shortages , 1991 .

[24]  Fred Raafat,et al.  Survey of Literature on Continuously Deteriorating Inventory Models , 1991 .

[25]  A. Goswami,et al.  An EOQ Model for Deteriorating Items with Shortages and a Linear Trend in Demand , 1991 .

[26]  Adrijit Goswami,et al.  EOQ model for an inventory with a linear trend in demand and finite rate of replenishment considering shortages , 1991 .

[27]  A. Goswami,et al.  Variations of order-level inventory models for deteriorating items , 1992 .