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Third-party-funded project

Title:
Stability, Robustness and Approximation of Dynamic Large-Scale Networks - Theory and Applications in Logistics Networks

Project management at the University of Würzburg:

Participating scientists:

Abstract:
The dynamics of complex, large-scale networks of interacting dynamical systems are hard
to analyze and in many aspects methods and tools for the analysis are missing. In this project we
will study such networks from the point of view of stability and approximation theory and investigate
applications in logistics. To this end criteria for stability of nominal and perturbed networks will be
developed. Furthermore, we will study the robustness of such networks with respect to perturbation of
the dynamics in the vertices and of network structure. To obtain approximation techniques that retain
structural properties of networks we propose an approach based on separation of time scales and on
ranking schemes for the vertices of the network. This approach is motivated by a real-world logistic
scenario in which different time scales occur in a natural manner. The theoretical results will be used
to obtain further insight into the dynamics of logistic networks and to derive logistics management
principles.

The project is in cooperation with

Prof. Dr. B. Scholz-Reiter, Bremer Instituts für Betriebstechnik und angewandte Arbeitswissenschaft (BIBA), University of Bremen

Dr. Sergey Dashkovskiy, Centre for Technomathematics, University Bremen

Key words:
    Dynamics of networks
    Logistics

Projekt period: from 11.2007 to 10.2010

Funding institution:
VW-Stiftung ( Komplexe Netzwerke als fächerübergreifendes Phänomen ) ,Granting date: Juli 2007