Warschat, JoachimWunderlich, Hans-Joachim2012-05-042016-03-312012-05-042016-03-311984369333217http://nbn-resolving.de/urn:nbn:de:bsz:93-opus-73574http://elib.uni-stuttgart.de/handle/11682/7968http://dx.doi.org/10.18419/opus-7951In 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.eninfo:eu-repo/semantics/openAccessLagerhaltungsmodell , Produktionsplanung650article2012-07-30