A continuous-time control model on production planning network

Abstract

In this paper, we give a slightly detailed review of Graves and Hollywood
model on constant inventory tactical planning model for a job shop. The limitations of this model are pointed out and a continuous time production model that allows work to travel through more than one station within a single time period is derived. With the relaxation of the period size limitation, we were able to match the time period within the production time frame. This is our major contribution. Unlike Graves and Hollywood model where job visit at most one workstation in each period.