Multi-Item Single Machine Scheduling Optimization. The Case with Piecewise Deterministic Demands
Résumé
In this work we study the optimization of a production system comprising a multi-item single machine with piecewise deterministic demands. Demands can only take a finite number of values and the demand changes are described by Poisson processes. We present the theoretical characterization of the solution and a numerical procedure to solve it. We establish the rate of convergence of the discrete solution toward the original continuous solution.