Summary
The increasing complexity of production and logistics networks and the requirement of higher flexibility lead to a change of paradigm in control: Autonomously controlled systems where decisions are taken by parts or goods themselves become more attractive. The question of stability is an important issue for the dynamics of such systems. In this paper we are going to touch this question for a special production network with autonomous control. The stability region for a corresponding fluid model is found empirically. We point out that further mathematical investigations have to be undertaken to develop some stability criteria for autonomous systems.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Scholz-Reiter B, Freitag M, Windt K (2004) Autonomous logistic processes. In: Proceedings of the 37th CIRP International Seminar on Manufacturing Systems 357–362
Dashkovskiy S, Wirth F, Jagalski T (2004) Autonomous control of Shop Floor Logistics: Analytic models. In: Proceedings of the IFAC Conference on Manufacturing, Modelling, Management and Control. On CD-ROM
Scholz-Reiter B, Freitag M, de Beer C, Jagalski T (2005) Modelling dynamics of autonomous logistic processes: Discrete-event versus continuous approaches. Annals of the CIRP 55:413–416
Scholz-Reiter B, Freitag M, de Beer C, Jagalski T (2005) Modelling and analysis of autonomous shop floor control. In: Proceedings of the 38th CIRP International Seminar on Manufacturing Systems. On CD-ROM
Dashkovskiy S, Rüffer B, Wirth F (2005) An ISS Small-Gain Theorem for General Networks. In: Proceedings of the Joint 44th IEEE Conference on Decision and Control and European Control Conference (CDC-ECC′05). To appear.
Chen H (1995) Fluid approximations and stability of multiclass queueing networks: work-conserving disciplines. In: Annals of Applied Probability 5:637–665
Dai JG (1995) On positive Harris recurrence of multiclass queueing networks: a unified approach via fluid limit models. In: Annals of Applied Probability 5:49–77
Bramson M (1994) Instability of FIFO queueing networks. Annals of Applied Probability 4:414–431
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2006 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Scholz-Reiter, B. et al. (2006). Some Remarks on the Stability of Production Networks. In: Haasis, HD., Kopfer, H., Schönberger, J. (eds) Operations Research Proceedings 2005. Operations Research Proceedings, vol 2005. Springer, Berlin, Heidelberg . https://doi.org/10.1007/3-540-32539-5_15
Download citation
DOI: https://doi.org/10.1007/3-540-32539-5_15
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-32537-6
Online ISBN: 978-3-540-32539-0
eBook Packages: Business and EconomicsBusiness and Management (R0)