This paper presents the parallel-type inventory structure using an order-up-to level inventory control system for analyzing the approximation of the expected units backordered and the measure of service. The rate of total expected backorders which is the measure of disservise, is given by dividing the improved units of total expected backorder into the total demand during an order cycle. the average annual total cost in system is obtained by considering the results. Total backorder model for the system without redistribution and the system with redistribution is described.