21 November 1995 Optimal production flow control for a flexible manufacturing system
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Abstract
In this paper, we consider a flexible manufacturing system which consists of one reliable machine and produces two distinct products simultaneously. The machine is assumed to be flexible, i.e. there is no setup time or cost incurred when the machine switches from one product to the other. Therefore, it is possible to switch production as often as necessary between products to achieve any desired production mix within the capacity set. The processing times for individual products are constant and order of magnitude smaller than the planning horizon. We formulate an optimal control problem to regulate the production flow tracing a given set of demand. The problem is then solved exactly using Pontryagin's Minimum Principle.
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Hui Yun, Sherman X. Bai, "Optimal production flow control for a flexible manufacturing system", Proc. SPIE 2596, Modeling, Simulation, and Control Technologies for Manufacturing, (21 November 1995); doi: 10.1117/12.227207; https://doi.org/10.1117/12.227207
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