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Minimizing Total Delay in Fixed-Time Controlled Traffic Networks

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Part of the Operations Research Proceedings book series (ORP,volume 2004)

Abstract

We present two different approaches to minimize total delay in signalized fixed-time controlled inner city traffic networks. Firstly, we develop a time discrete model where all calculations are done pathwise and vehicles move on “time trajectories” on their routes. Secondly, an idea by Gartner, Little, and Gabbay (GLG) is extended to a continuous, linkwise operating model using “Link Performance Functions” to determine delays. Both models are formulated as mixed-integer linear programs and are compared and evaluated by PTV AG’s simulation tool VISSIM 3.70.

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References

  1. Gartner, N. H., Little, J. D. C, Gabbay, H. (1975) Optimization of Traffic Signal Settings by Mixed-Integer Linear Programming, Part I: The Network Coordination Problem. Transportation Science 9, 321–343

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  2. Gartner, N. H., Little, J. D. C., Gabbay, H. (1975) Optimization of Traffic Signal Settings by Mixed-Integer Linear Programming, Part II: The Network Synchronization Problem. Transportation Science 9, 344–363

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  3. Webster, F. V. (1958) Traffic Signal Settings. Road Research Technical Paper 39

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© 2005 Springer-Verlag Berlin Heidelberg

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Köhler, E., Möhring, R.H., Wünsch, G. (2005). Minimizing Total Delay in Fixed-Time Controlled Traffic Networks. In: Fleuren, H., den Hertog, D., Kort, P. (eds) Operations Research Proceedings 2004. Operations Research Proceedings, vol 2004. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-27679-3_24

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