Abstract: Methods and systems consistent with the present invention facilitate inventory management by determining an order quantity and a safety stock based on the order quantity that provide a minimum total cost, while satisfying a service level over an entire demand period for a good or service. In one embodiment, a method includes determining a first order quantity, determining a search direction, and determining a second order quantity and a safety stock based on the first order quantity and the search direction, such that the second order quantity and the safety stock provide a minimum total cost.