Skip to main content

Complexity-Based Evaluation of Production Strategies Using Discrete-Event Simulation

  • Conference paper
  • First Online:
Dynamics in Logistics

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.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  • Binder PM, Jensen RV (1986) Simulating chaotic behavior with finite-state machines. Phys Rev A 34: 4460–4463

    Article  Google Scholar 

  • Bloomberg DJ, LeMay SB, Hanna JB (2002) Logistics. Prentice Hall, New York

    Google Scholar 

  • 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

    Article  MATH  MathSciNet  Google Scholar 

  • Donner R, Scholz-Reiter B, Hinrichs U (2008a) Nonlinear characterization of the performance of production and logistics networks. J Manufact Syst 27: 84–99

    Article  Google Scholar 

  • 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

    Article  Google Scholar 

  • 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

    Google Scholar 

  • 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

    Google Scholar 

  • Forrester JW (1958) Industrial dynamics—a major breakthrough for decision makers. Harvard Business Rev 36: 37–66

    Google Scholar 

  • 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

    Article  Google Scholar 

  • Hopp WJ, Spearman ML (2000) Factory Physics. McGraw-Hill, Boston

    Google Scholar 

  • Hülsmann M, Windt K (2007) Understanding autonomous cooperation and control in logistics. Springer, Berlin

    Book  Google Scholar 

  • Katzorke I, Pikovsky A (2000) Chaos and complexity in a simple model of production dynamics. Discr Dyn Nat Soc 5: 179–187

    Article  MATH  Google Scholar 

  • Marwan N, Romano MC, Thiel M, Kurths J (2007) Recurrence plots for the analysis of complex systems. Phys Rep 438: 237–329

    Article  MathSciNet  Google Scholar 

  • Rem B, Armbruster D (2003) Control and synchronization in switched arrival systems. Chaos 13: 128–137

    Article  MATH  MathSciNet  Google Scholar 

  • 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

    Google Scholar 

  • 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

    Google Scholar 

Download references

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.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Reik Donner .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2011 Springer -Verlag Berlin Heidelberg

About this paper

Cite this paper

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

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-11996-5_38

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-11995-8

  • Online ISBN: 978-3-642-11996-5

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics