Journal
CENTRAL EUROPEAN JOURNAL OF OPERATIONS RESEARCH
Volume 17, Issue 3, Pages 255-264Publisher
SPRINGER
DOI: 10.1007/s10100-009-0090-6
Keywords
Time-discrete system; Discrete control with infinite time horizon; Stationary control; Minimal mean cost cycle in a digraph; Environmental decision problem
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Time-discrete systems with a finite set of states are considered. Discrete optimal control problems with infinite time horizon for such systems are formulated. We introduce a certain graph-theoretic structure to model the transitions of the dynamical system. Algorithms for finding the optimal stationary control parameters are presented. Furthermore, we determine the optimal mean cost cycles. This approach can be used as a decision support strategy within such a class of problems; especially so-called multilayered decision problems which occur within environmental emission trading procedures can be modelled by such an approach.
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