Abstract
This paper aims to construct the macroscopic timing optimization model for signalized intersections with considering traffic flow dynamics. First, Lebacque’s internal state node model is extended to the situation of signalized intersections. The formulas of travel time are derived respectively for one section and multiple sections by using cumulative curve method. Then a macroscopic timing optimization model for signalized intersections is presented. Finally, some examples concerning under-saturated and over-saturated intersections are presented, which give support to the proposed model.
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References
Quan, Y.: Urban Traffic Control. Renmin Communication Press, Beijing (1989)
Lo, H.: A Cell-based Traffic Control Formulation: Strategies and Benefits of Dynamic Timing Plans. Transportation Science 35(2), 148–164 (2001)
Chow, A., Lo, H.: Sensitivity Analysis of Signal Control with Physical Queuing: Delay Derivatives and an Application. Transportation Research Part B 41(4), 462–477 (2007)
Lebacque, J.P.: The Godunov Scheme and What it Means for First Order Traffic Flow Models. In: Proceedings of the 13th International Symposium on Transportation and Traffic Theory (ISTTT), pp. 647–677 (1996)
Lighthill, M.J., Whitham, G.B.: On Kinematic Waves. II. A theory of Traffic Flow on Long Crowded roads. Proc. Roy. Soc. London. Ser. A. 229, 317–345 (1955)
Richards, P.I.: Shock Waves on the Highway. Operations Research 4(1), 42–51 (1956)
Lebacque, J.P., Khoshyaran, M.M.: First Order Macroscopic Traffic Flow Models for Networks in the Context of Dynamic Assignment. In: Transportation Planning, Kluwer Academic Publishers, USA (2002)
Chevallier, E., Leclercq, L.: A Macroscopic Single-lane Roundabout Model to Account for Intersection Delays and O-D patterns. Computer-Aided Civil and Infrastructure Engineering 23(2), 104–115 (2008)
Khoshyaran, M.M., Lebacque, J.P.: Internal State Models for Intersections in Macroscopic Traffic Flow Models. Presented at the conference of Traffic and Granular Flow, Shanghai (2009)
Gazis, D.C., Potts, R.B.: The Over-saturated Intersection. In: Proceedings of the Second International Symposium on the Theory of Road Traffic Flow, O.E.C.D., France (1965)
Newell, G.F.: A Simplified Theory of Kinematic Waves in Highway Traffic, Part I: General Theory. Transportation Research Part B 27(4), 281–287 (1993)
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Liu, X., Lu, S., Dai, S. (2010). A Macroscopic Timing Optimization Model for Signalized Intersections Based on an Extended Internal State Node Model. In: Zaman, M., Liang, Y., Siddiqui, S.M., Wang, T., Liu, V., Lu, C. (eds) E-business Technology and Strategy. CETS 2010. Communications in Computer and Information Science, vol 113. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-16397-5_18
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DOI: https://doi.org/10.1007/978-3-642-16397-5_18
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-16396-8
Online ISBN: 978-3-642-16397-5
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