This note considers two single-machine multi-product scheduling problems with deterministic demand that have appeared in the management science literature: the economic lot scheduling problem and the joint replenishment problem. These problems are shown to be closely related. In addition, they...

We are indebted to Jack Muckstadt and Howard Singer for calling our attention to two errors in [Graves, S. C., Schwarz, L. B. 1977. Single cycle continuous review policies for arborescent production/inventory systems. Management Sci. 23 (5, January) 529-540.].