Many perishables such as fresh food and blood platelet concentrates are characterized by a short maximum shelf life. As demand is often highly uncertain the outdating and shortages figures can be very high, especially when frequent replenishment is not possible or inefficient due to fixed ordering cost. We present a new class of stock-level dependent ordering policies: the (s,S,q,Q) policy, which is a periodic review (s,S) policy with the order quantity restricted by a minimum (q) and maximum (Q). Optimal (weekday dependent) parameter values are derived by dynamic programming and simulation. The (s,S,q,Q) policy performs nearly optimal and improves the (s,S) policies in many cases by 4–25%.