This paper is concerned with the general dynamic lot size model, or (generalized) Wagner-Whitin model. Let n denote the number of periods into which the planning horizon is divided. We describe a simple forward algorithm which solves the general model in 0(n log n) time and 0(n) space, as...

This paper studies the problem of scheduling jobs on parallel machines with setup times. When a machine switches from processing one type of job to another type, setup times are incurred. The problem is to find a feasible schedule for each machine which maximizes the total reward. We study three...