Abstract
The intrinsically unstable dynamics of production networks is a serious economic danger not only for small companies. For example, fluctuations of processing times cause an irregular behaviourwhich can lead to production breakdowns due to a lack of material or time intervals with an intermittent accumulation of material or unprocessed orders. However, event-discrete simulations indicate that such fluctuations may also have a constructive effect on the dynamics: If a push strategy is applied for the production process, long down times of the machines after each processed workpiece may lead to a successive increase of certain stocks, which is decelerated in the presence of fluctuating processing times. In the more realistic case of a pull control, improper lot sizes result in an aperiodic behaviour even for constant processing times. The critical parameters associated with the different effects are identified and further evaluated for linear supply chains and symmetrically interacting manufacturers.
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References
Sterman JD (2000) Business Dynamics. McGraw-Hill, Boston
Hopp WJ, Spearman ML (2000) Factory Physics. McGraw-Hill, Boston
Daganzo C (2005) A Theory of Supply Chains. Springer, Berlin
Bloomberg DJ, LeMay SB, Hanna JB (2002) Logistics. Prentice Hall, New York
Radons G, Neugebauer R (eds) (2004) Nonlinear Dynamics of Production Systems. Wiley, New York
Scholz-Reiter B, Hinrichs U, Donner R, Witt A (2006) Modelling of networks of production and logistics and analysis of their nonlinear dynamics. In: Wamkeue R (ed) Modelling and Simulation. IASTED, Montréal, pp 178–183
Donner R, Hinrichs U, Scholz-Reiter B, Witt A (2006) Nonlinear dynamics and control of small-scale manufacturing networks. In: Marquié P (ed) Nonlinear Dynamics in Electronic Systems (NDES2006). Dijon, pp 22–25
Scholz-Reiter B, Hinrichs U, Donner R (2007) Application of methods of nonlinear dynamics for the control of networks of production and logistics. In: Proceedings of the 2nd International Conference on Changeable, Agile, Reconfigurable and Virtual Production (CARV 2007). Toronto, pp 263–272
Marwan N, Romano MC, Thiel M, Kurths J (2007) Recurrence plots for the analysis of complex systems. Phys Rep 438: 237–329
Helbing D, Lämmer S, Witt U, Brenner T (2004) Network-induced oscillatory behaviour in material flow networks and irregular business cycles. Phys Rev E 70: 056118
Scholz-Reiter B, Tervo JT, Freitag M (2006) Phase-synchronization in continuous flow models of production networks. Physica A 363: 32–38
Reindl M, Oberniedermeier G (2002) eLogistics. Addison-Wesley, Boston
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Donner, R., Hinrichs, U., Scholz-Reiter, B. (2008). Mechanisms of Instability in Small-Scale Manufacturing Networks. In: Kreowski, HJ., Scholz-Reiter, B., Haasis, HD. (eds) Dynamics in Logistics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-76862-3_15
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DOI: https://doi.org/10.1007/978-3-540-76862-3_15
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-76861-6
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