Production networks as communities of autonomous units and their stability

Titelangaben

Dashkovskiy, Sergey ; Kreowski, Hans-Jörg ; Kuske, Sabine ; Mironchenko, Andrii ; Naujok, Lars ; von Totth, Caroline:
Production networks as communities of autonomous units and their stability.
In: International Electronic Journal of Pure and Applied Mathematics. Bd. 2 (2010) Heft 1 . - S. 17-42.
ISSN 1314-0744

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Abstract

In this paper, a discrete variant of production networks is considered. Besides the mathematical models in terms of matrices and vectors, production networks are modeled as communities of autonomous units in a rule-based, graph-transformational and visual manner. Moreover, a sufficient criterion for the stability of a production network is given where stability means that there exist suitable storage capacities at the production sites that never flow over.