at Google ScholarTitle 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: International Electronic Journal of Pure and Applied Mathematics.
Vol. 2
(2010)
Issue 1
.
- pp. 17-42.
ISSN 1314-0744
| Review: |
Project information
| Project title: |
Project's official title Project's id DFG Collaborative Research Centre 637
“Autonomous Cooperating Logistic Processes: A Paradigm Shift and
its Limitations” No information |
|---|---|
| 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 journal |
|---|---|
| Refereed: | Yes |
| Keywords: | graph transformation; autonomous units; production networks; production models; deterministic network models; stability |
| Subject classification: | Mathematics Subject Classification Code: 90B10 90B30 |
| 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 |
| Result of work at the UBT: | No |
| DDC Subjects: | 500 Science > 510 Mathematics |
| Date Deposited: | 07 Mar 2025 09:19 |
| Last Modified: | 07 Mar 2025 09:19 |
| URI: | https://eref.uni-bayreuth.de/id/eprint/92684 |