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
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
Ahuja, R.K., Magnanti, T.L. and Orlin, J.B. (1993). Network Flows: Theory Algorithms and Applications, Prentice Hall.
Aronson, J.E. (1989). A survey of dynamic network flows. Annals of Operations Research, 20, 1-66.
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.
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.
Daganzo, C.F. (1995). The cell transmission model, Part II: network traffic. Transportation Research Part B,29(2), 79-93.
Highway Capacity Manual, Dec 2000.
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.
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.
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.
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.
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.
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.
Ziliaskopoulos, A.K. (2000). A linear programming model for the single destination system ptimum dynamic traffic assignment problem. Transportation Science, 34(1), 37-49.
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
Editor information
Editors and Affiliations
Rights 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
DOI: https://doi.org/10.1007/978-1-4419-0820-9_27
Published:
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4419-0819-3
Online ISBN: 978-1-4419-0820-9
eBook Packages: Business and EconomicsBusiness and Management (R0)