Optimal Production Rates in a Deterministic Two-Product Manufacturing System
Optimal Control Applications & Methods, Vol. 21 pp. 125-135, 2000
11 Pages Posted: 21 Jun 2009 Last revised: 31 Jan 2019
This paper is concerned with explicit optimal control for a deterministic manufacturing system consisting of a single reliable machine and producing two part types studied by Connolly (Master Thesis, Operations Research Center, MIT, Cmbridge, 1992) and Gershwin (Manufacturing Systems Engineering, Prentice-Hall: Englewood Cli!s, NJ, 1994). Using the verification theorem, we show the uniqueness of the optimal control under some conditions.
Keywords: manufacturing system, optimal control, switching manifold
JEL Classification: M11, C61
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