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.