We consider an assembly system with multiple stages, multiple items, and multiple customer classes. The system consists of m production facilities, each producing a different item. Items are produced in variable batch sizes, one batch at a time, with exponentially distributed batch production...

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 problem of allocating demand arising from multiple products to multiple production facilities with finite capacity and load-dependent lead-times. Production facilities can choose to manufacture items either to-stock or to-order. Products vary in their demand rates, holding and...

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...