ABSTRACT

A working inventory model is developed to incorporate the partial back ordering inventory with references to the back ordering inventory model by Jonah and Chukwu. The re-order point models of maximum expected cost and service level approach were also established. Data, covering the demand, set-up cost, and the Holding cost were obtained from the Champion Breweries Plc, other related data were estimated. These enabled the application of the models to obtain, the review period, (T) the fill rate (F), the stock-out (S) and finally the order quantity (Q). It was found and could be recommended that a quantity (Q) of 285022 tons of plan sorghum be placed bi-ennialy with a lead time of four (4) weeks. At a time the stock level is expected to be at 58.746 tons.