An Economic Order Quantity Model for Growing Items with Imperfect Quality and Shortages

摘要

Inventory models of growing items are used when the stored items (such as poultry, fish, and livestock) have the capabilityto grow during the inventory replenishment cycle. This paper extends inventory models for growing items by consideringquality aspects, permissible shortages with complete backordering, and holding cost during both the growth period and theconsumption period. Permitting shortages with complete backordering can reduce inventory holding costs while avoidingthe loss of sales by paying delay penalties to consumers who wait for the fresh items. Since a proportion of fully grownmature items are defective, they are fully inspected and lower-quality items are removed at the end of the inspection period.A nonlinear programming model is formulated and used to determine the optimum cycle length and shortage level in order tominimize the total costs of the inventory system. These costs include the purchasing, setup, inspection, feeding, holding, andshortage costs. The convexity of the objective function is shown, and it is utilized to develop an efficient optimum solutionalgorithm.