• STATISTICAL QUALITY CONTROL OF PROBABILISTIC (Q, r) INVENTORY MODEL WITH PARTIALLY LOST SALES WHEN LEAD TIME DEMAND NORMALLY DISTRIBUTED

MONA, F. EL-WAKEEL

Abstract


This paper derives the probabilistic continuous review inventory model that has the two types of shortage when the order cost is a function of the order quantity. The objective is to minimize the expected annual total cost under a constraint on the expected holding cost when the lead time demand follows Normal distribution by using the Lagrangian method. Some published special cases are deduced and an application is added as an illustrative numerical example with the quality control methods like X-bar and Moving average methods.


Keywords


Probabilistic model, Partially Lost of Customers, continuous review inventory system, safety stock, varying order cost, lead-time demand, Normal distribution.

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