Please use this identifier to cite or link to this item: http://dx.doi.org/10.18419/opus-7951
Authors: Warschat, Joachim
Wunderlich, Hans-Joachim
Title: Time-optimal control policies for cascaded production-inventory systems with control and state constraints
Issue Date: 1984
metadata.ubs.publikation.typ: Zeitschriftenartikel
metadata.ubs.publikation.source: International journal of systems science 15 (1984), S. 513-524
URI: http://nbn-resolving.de/urn:nbn:de:bsz:93-opus-73574
http://elib.uni-stuttgart.de/handle/11682/7968
http://dx.doi.org/10.18419/opus-7951
Abstract: In this paper time-optimal control policies are derived for models of production-inventory systems consisting of a cascade of basic production- inventory systems with control and state constraints. The analytic solution is due to a decoupling of the complete system into its subsystems by a recursive definition of the cascaded system. It is shown that there is at least one bang-bang controlled subsystem. For the "other" subsystems singular control policies are obtained. Introducing a pseudo-bang-bang control for these systems it is demonstrated that by strengthening the constraints there is a continuous transition from a singular to a bang-bang control.
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