A Linear Program for Economic Lot Sizes using Labor Priorities

This paper presents the development of a mathematical model to generate economic lot sizes, on a weekly basis, for an assembly-type shop. The model appears as a linear program which optimizes assigned labor priorities. Included is a description of the results achieved from a successful implementation of the model into the assembly operations. The paper also identifies this shop's problem within the general context of multi-product, multi-period scheduling. In particular, a certain class of scheduling problems is formulated using described techniques.