Abstract
Today’s networks of production and logistics are often characterized by a large structural and dynamical complexity. As a consequence of their nonlinear and potentially unstable dynamics, an efficient planning and control is hardly possible, resulting in economic risks. The solution of the corresponding problems requires an overall understanding of the complex behavior of such systems. For this purpose, discrete-event simulation is applied to study networks consisting of only a few cooperating manufacturers. Based on these simulations, it is possible to identify dynamical mechanisms which make the dynamics of inventory levels strongly irregular even without the presence of stochastic factors. Many of the underlying dynamic instabilities can be attributed to an imperfect logistic synchronization, which emerges due to an improper mutual adjustment of lot sizes, transportation and processing times. In order to approach more quantitative results, a combination of different concepts from nonlinear time series analysis (such as symbolic time series analysis and recurrence quantification analysis) is suggested that provides characteristic measures for the complexity of inventory variations. The corresponding methods allow a systematic evaluation and potential improvement of the performance of different concepts and strategies for the control of material flows in manufacturing networks.
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References
Binder PM, Jensen RV (1986) Simulating chaotic behavior with finite-state machines. Phys Rev A 34: 4460–4463
Bloomberg DJ, LeMay SB, Hanna JB (2002) Logistics. Prentice Hall, New York
Chase C, Serrano J, Ramadge PJ (1993) Periodicity and chaos from switched flow systems: Contrasting examples of discretely controlled continuous systems. IEEE Trans Automat Contr 38: 70–83
Donner R, Scholz-Reiter B, Hinrichs U (2008a) Nonlinear characterization of the performance of production and logistics networks. J Manufact Syst 27: 84–99
Donner R, Hinrichs U, Scholz-Reiter B (2008b) Symbolic recurrence plots: a new quantitative framework for performance analysis of manufacturing networks. Eur Phys J Spec Top 164: 85–104
Donner R, Hinrichs U, Scholz-Reiter B (2008c) Mechanisms of instability in small-scale manufacturing networks. In: Haasis HD, Kreowski HJ, Scholz-Reiter B (eds) Dynamics in Logistics—First International Conference, LDIC 2007—Bremen, Germany, August 2007—Proceedings. Springer, Berlin, pp 161–168
Donner R, Padberg K, Höfener J, Helbing D (2010) Dynamics of supply chains under mixed production strategies. In: Fitt AD et al (eds) Progress in Industrial Mathematics at ECMI 2008. Mathematics in Industry 15. Springer, Berlin, pp 527-533
Forrester JW (1958) Industrial dynamics—a major breakthrough for decision makers. Harvard Business Rev 36: 37–66
Helbing D, Lämmer S, Witt U, Brenner T (2004) Network-induced oscillatory behavior in material flow networks and irregular business cycles. Phys Rev E 70: 056118
Hopp WJ, Spearman ML (2000) Factory Physics. McGraw-Hill, Boston
Hülsmann M, Windt K (2007) Understanding autonomous cooperation and control in logistics. Springer, Berlin
Katzorke I, Pikovsky A (2000) Chaos and complexity in a simple model of production dynamics. Discr Dyn Nat Soc 5: 179–187
Marwan N, Romano MC, Thiel M, Kurths J (2007) Recurrence plots for the analysis of complex systems. Phys Rep 438: 237–329
Rem B, Armbruster D (2003) Control and synchronization in switched arrival systems. Chaos 13: 128–137
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
Windt K (2002) Optimierung von Lager- und Distributionsstrukturen in Logistiknetzen am Beispiel eines weltweit agierenden Maschinenbauers. In: Tagungsband zum Wissenschaftssymposium Logistik der BVL. Huss-Verlag, Munich, pp 235–251
Acknowledgments
This work has been financially supported by the German Research Foundation (project no. He 2789/8-1,8-2 and Scho 540/15-1), the Daimler-Benz foundation, and the Volkswagen foundation. Discussions with K. Padberg, K. Peters and D. Karrasch are gratefully acknowledged.
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Donner, R., Hinrichs, U., Schicht, C., Scholz-Reiter, B. (2011). Complexity-Based Evaluation of Production Strategies Using Discrete-Event Simulation. In: Kreowski, HJ., Scholz-Reiter, B., Thoben, KD. (eds) Dynamics in Logistics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-11996-5_38
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DOI: https://doi.org/10.1007/978-3-642-11996-5_38
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