We consider the situation of a single item having a deterministic, time-varying demand pattern. Production lot sizes, so as to minimize the total of setup and carrying costs, are to be determined subject to production capacity restrictions that can vary with time. Two important theorems...

In recent years, researchers and practitioners are paying increasing attention to the phenomenon of manufacturing strategy. However, there exists no formal theory of manufacturing strategy to explain the phenomenon. There is a real need for empirical studies for the development of such a theory....

Schwarz and Schrage's model assumes that, for optimal policies in a multi-echelon production/inventory system, the lot size of a stage must not be larger than that of a predecessor stage, as lots move from the initial stage to the final stage. Examples in this Note illustrate that set-up costs...

This research focuses on the effect of setup time on lot sizing. The setting is the Capacitated Lot Sizing Problem (the single-machine lot sizing problem) with nonstationary costs, demands, and setup times. A Lagrangian relaxation of the capacity constraints of CLSP allows it to be decomposed...

We are concerned with scheduling several products that, require processing or a single machine. Routine application of the economic lot size formula to each product separately, often yields an infeasiable schedule in the sense that there are times when it specifies simultaneous production of two...

In the paper by Graves and Schwarz [Graves, Stephen C., Leroy B. Schwarz. 1977. Single cycle continuous review policies for arborescent production/inventory systems. Management Sci. 23 (5, January) 529-540.], we observed an error in their discussion of optimal policies for the one warehouse-m...

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.].

In this paper, the joint problem of ordering and offering price discount by a supplier to his sole/major buyer is analyzed. The objective is to induce the buyer to alter his order schedule and size so that the supplier can benefit from lower set up, ordering, and inventory holding costs. We...

Seven heuristic algorithms are discussed. Each can be used for production scheduling in an assembly network (a network where each work station has at most one immediate successor work station, but may have any number of immediate predecessor work stations), distribution scheduling in an...

This paper investigates a multi-item, multi-level production scheduling problem with linear costs and production and inventory constraints at one key facility. Two multi-item problems---one in which the constraint was on shipping capability and one in which there was a final stage bottleneck...