%0 Journal Article
%T PROBABILISTIC (Q,r) INVENTORY MODEL WITH PARTIALLY BACKORDERS WHEN LEAD TIME DEMAND NORMALLY DISTRIBUTED UNDER HOLDING COST RESTRICTION
%A Mona F. El-Wakeel
%A Hala A. Fergany
%J Journal of Global Research in Mathematical Archives
%D 2013
%I Journal of Global Research in Mathematical Archives
%X 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 a numerical application with illustrative graphs is added.
%U http://www.jgrma.info/index.php/jgrma/article/view/45