TY - JOUR AU - Hala, AU - Fergany, A. AU - Mona, AU - EL-Wakeel, F. PY - 2006 TI - Constrained Probabilistic Lost Sales Inventory System with Normal Distribution and Varying Order Cost JF - Journal of Mathematics and Statistics VL - 2 IS - 1 DO - 10.3844/jmssp.2006.363.366 UR - https://thescipub.com/abstract/jmssp.2006.363.366 AB - This study derives the probabilistic lost sales inventory system when the order cost is a function of the order quantity. Our objective is to minimize the expected annual total cost under a restriction on the expected annual holding cost when the lead-time demand follows the normal distribution by using the Lagrangian method. Then a published special case is deduced and an illustrative numerical example is added.