We consider a production-inventory system with two customer classes, one patient and one impatient. Orders from the patient class can be back-ordered if needed while orders from the impatient class must be rejected if they cannot be fulfilled from on-hand inventory. Orders back-ordered incur a...

We consider the optimal production and inventory control of an assemble-to-order system with m components, one end-product, and n customer classes. A control policy specifies when to produce each component and, whenever an order is placed, whether or not to satisfy it from on-hand inventory. We...