Richard Bellmann developed a theory of dynamic programming which is
for many reasons still in the center of great interest. The authors
present a new approach in the ?eld of the optimization and
multi-objective control of time-discrete systems which is closely
related to the work of Richard Bellmann. They develop their own
concept and their extension to the optimization and multi-objective
control of time-discrete systems as well as to dynamic networks and
multilayered structures are very stimulating for further research.
Di?erent perspectives of discrete control and optimal dynamic ?ow
problems on networks are treated and characterized. Together with
the algorithmic solutions a framework of multi-objective control
problems is - rived. The conclusion with a real world example
underlines the necessity and - portance of their theoretic
framework. As they come back to the classical Bellmann concept of
dynamic programming they stress and honor his basic concept without
debase their own work.
Multilayereddecisionprocessesaspartofthedesignandanalysisofcomplexsystems
and networks will be essential in many ways and ?elds in the
future.
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