The Use of Mathematics in Production and Inventory Control--II (Theory of Scheduling)

In a previous paper (The Use of Mathematics in Production and Inventory Control--I, (Theory of Parts Listing). Paper published in Management Science, vol. 1, no. 1, October 1954. We refer to this report as (I).), the problem of parts requirements was analyzed with the aid of matrix equations. In the present paper, this analysis is extended to include the time dependence of parts requirements. A system of equations is developed which relates to a given shipping schedule the schedule of requirements for each assembly, or subassembly.