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Production networks as communities of autonomous units and their stability

Title data

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: Echahed, Rachid ; Habel, Annegret ; Mosbah, Mohamed (ed.): GCM 2010: The Third International Workshop on Graph Computation Models : Proceedings. - Enschede, The Netherlands , 2010 . - pp. 17-32 . - (CTIT Workshop Proceedings WP ; 2010-05 )

Official URL: Volltext

Project information

Project title:
Project's official title
Project's id
SFB 637: Selbststeuerung logistischer Prozesse - Ein Paradigmenwechsel und seine Grenzen
5485934

Project financing: Deutsche Forschungsgemeinschaft

Abstract in another language

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.

Further data

Item Type: Article in a book
Refereed: Yes
Institutions of the University: Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics V (Applied Mathematics)
Profile Fields > Advanced Fields > Nonlinear Dynamics
Research Institutions > Central research institutes > Bayreuth Research Center for Modeling and Simulation - MODUS
Faculties
Faculties > Faculty of Mathematics, Physics und Computer Science
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics
Profile Fields
Profile Fields > Advanced Fields
Research Institutions
Research Institutions > Central research institutes
Result of work at the UBT: No
DDC Subjects: 500 Science > 510 Mathematics
Date Deposited: 07 Mar 2025 10:05
Last Modified: 04 Sep 2025 13:03
URI: https://eref.uni-bayreuth.de/id/eprint/92688