An Optimal Partially Backlogged Policy of Deteriorating Items with Quadratic Demand
An EOQ (Economic Order Quantity) model for a deteriorating item with quadratic demand pattern and quadratic holding cost and constant deterioration rate is considered in this paper. In addition, shortages and partial backlogging are allowed. It is assumed that the backlogging rate acts as not only a variable, but also depends on the length of the waiting time up to next replenishment during the stock out period. For this model, average total cost is derived. Finally, a numerical example for illustration is provided.
KeywordsEOQ Partial backlogging Quadratic demand Quadratic holding cost
2000-Mathematics Subject Classification:90B05
- 1.Bahari-Kashani.: Replenishment schedule for deteriorating items with time-proportional demand. J. Oper. Res. Soc. 40, 75–81 (1989)Google Scholar
- 11.Singh, T., Pattnayak, H.: An EOQ model for a deteriorating item with time dependent quadratic demand and variable deterioration under permissible delay in payment. Appl. Math. Sci. 7, 2939–2951 (2013)Google Scholar