Skip to main content

A Common Modeling Framework for Dynamic Traffic Assignment and Supply Chain Management Systems with Congestion Phenomena

  • Chapter
  • First Online:
Transportation and Traffic Theory 2009: Golden Jubilee

Abstract

This paper seeks to illustrate the ability of the graph theoretic cell transmission model (GT-CTM), previously developed by the authors, to address some dynamic supply chain management (SCM) problems with congestion phenomena using a simple graphical representation. It further shows the conceptual equivalence between SCM and dynamic traffic assignment (DTA) problems using the GT-CTM framework. Thereby, the GT-CTM provides a generalized modeling framework to address dynamic network problems with congestion phenomena

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 259.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 329.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 329.99
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

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Ahuja, R.K., Magnanti, T.L. and Orlin, J.B. (1993). Network Flows: Theory Algorithms and Applications, Prentice Hall.

    Google Scholar 

  • Aronson, J.E. (1989). A survey of dynamic network flows. Annals of Operations Research, 20, 1-66.

    Article  Google Scholar 

  • Asmundsson, J., Rardin, R.L. and Uzsoy R. (2002). Tractable Nonlinear Capacity Models for Aggregate Production Planning. research report, Laboratory for Extended Enterprises at Purdue, Purdue University, West Lafayette, IN 47907-1287.

    Google Scholar 

  • Daganzo, C.F. (1994). The cell transmission model: a simple dynamic representation of highway traffic consistent with the hydrodynamic theory. Transportation Research Part B,28(4), 269-287.

    Article  Google Scholar 

  • Daganzo, C.F. (1995). The cell transmission model, Part II: network traffic. Transportation Research Part B,29(2), 79-93.

    Article  Google Scholar 

  • Highway Capacity Manual, Dec 2000.

    Google Scholar 

  • Kalafatas, G. and Peeta, S. (2007). An exact graph structure for dynamic traffic assignment: formulation, properties and computational experience. Proceedings of the 86th Transportation Research Board Annual Meeting.

    Google Scholar 

  • Kalafatas, G. and Peeta, S. (2008a). A direct bridge between dynamic traffic assignment and graph theory. Proceedings of the 10th International Conference on Applications of Advanced Technologies in Transportation (AATT 2008),May 2008, Athens, Greece.

    Google Scholar 

  • Kalafatas, G. and Peeta, S. (2008b). A graph-based formulation for the multiple destinations dynamic traffic assignment problem. Proceedings of the 2 nd International Symposium on Dynamic Traffic Assignment (DTA2008). June 2008, Katholieke Universiteit of Leuven, Belgium.

    Google Scholar 

  • Karmarkar, U.S. (1989). Capacity loading and release planning with work-in-progress (WIP) and lead-times. Journal of Manufacturing and Operations Management, 2, 105-123.

    Google Scholar 

  • Li, Y., Ziliaskopoulos, A.K. and Waller, S.T. (1999). Linear programming formulations for system optimum dynamic traffic assignment with arrival time–based and departure time–based demands. Transportation Research Record, 1667, 52-59.

    Article  Google Scholar 

  • Zawack, D.J and Thompson, G.L. (1987). A dynamic space-time network flow model for city traffic congestion. Transportation Science, 21(3), 153-162.

    Article  Google Scholar 

  • Ziliaskopoulos, A.K. (2000). A linear programming model for the single destination system ptimum dynamic traffic assignment problem. Transportation Science, 34(1), 37-49.

    Article  Google Scholar 

Download references

Acknowledgments

We would like to acknowledge Professor Reha Uzsoy of North Carolina State University and an anonymous referee for their useful comments.

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2009 Springer-Verlag US

About this chapter

Cite this chapter

Kalafatas, G., Peeta, S. (2009). A Common Modeling Framework for Dynamic Traffic Assignment and Supply Chain Management Systems with Congestion Phenomena. In: Lam, W., Wong, S., Lo, H. (eds) Transportation and Traffic Theory 2009: Golden Jubilee. Springer, Boston, MA. https://doi.org/10.1007/978-1-4419-0820-9_27

Download citation

Publish with us

Policies and ethics