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First published online January 1, 2017

Relationship Between Cycle Overflow Probability and Capacity at Signalized Intersections: Application for Delay Estimation

Abstract

A model for estimating the capacity and the delay at signalized intersections is presented. With the modeling of a signalized intersection as a queuing system, the capacity can be estimated by the measuring of the cycle overflow probability at stop line detectors. On the basis of a given queuing model, the stochastic characteristics, that is, the randomness of the queuing system at a signalized intersection, can be estimated as well. Then, the delays and the queuing lengths can be obtained with the estimated parameters. The results of the presented model are underlined by a comprehensive sensitivity analysis. Furthermore, a Vissim simulation study was conducted to demonstrate the capability of the model, and the model was tested on the basis of field measurement data.

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References

1. Highway Capacity Manual: A Guide for Multimodal Mobility Analysis, 6th ed. Transportation Research Board, Washington, D.C., 2016.
2. Handbuch für die Bemessung von Straßenverkehrsanlagen (German Highway Capacity Manual, HBS 2015). Forschungsgesellschaft für Straßen- und Verkehrswesen (Hrsg.), Nr. 299, FGSV Verlag GmbH, Köln.
3. Wu N. Rückstaulängen an Lichtsignalanlagen unter verschiedenen Verkehrsbedingungen (Queue Length Under Different Traffic Conditions at Signalized Intersections). Straßenverkehrstechnik, 5/1996. Kirschbaum Verlag, Bonn, Germany, 1996.
4. Miller A. J. Signalised Intersections—Capacity Guide. Australian Research Board Bulletin, No. 4, 1968, reprinted as ARRB Research Report ARR No. 79, 1978.
5. Wu N. Wartezeit und Leistungsfähigkeit von Lichtsignalanlagen unter Berücksichtigung von Instationarität und Teilgebundenheit des Verkehrs (Delay and Capacity at Signalized Intersections Under Nonstationary and Partially Bunched Traffic Conditions). Dissertation. Schriftenreihe des Lehrstuhls für Verkehrswesen der Ruhr–Universität Bochum, Heft 8, Bochum, Germany, 1990.
6. Akçelik R. Time-Dependent Expressions for Delay, Stop Rate, and Queue Length at Traffic Signals. No. 361-1. Australian Road Research Board, Vermont South, Victoria, 1980.
7. Webster F. V. Traffic Signal Setting. Road Research Technical Paper No. 39. Her Majesty’s Stationery Office, London, 1958.
8. Webster F. V., and Cobbe B. M. Traffic Signals. Road Research Technical Paper, No. 56. Her Majesty’s Stationery Office, London, 1966.
9. Kimber R. M., and Hollis E. M. Traffic Queues and Delays at Road Junctions. TRRL Laboratory Report LR 909. Transport and Road Research Laboratory, Crowthorne, England, 1979.
10. AIDA. Verkehrszustandsklassifizierung und Störfallerkennung, Systembeschreibung (Traffic State Classification and Disturbance Recognition, System Declaration). SSP-Consult Beratende Ingenieure GmbH, Munich, Germany, 2000.
11. Bernhard J., and Riedel T. Erkennung von Stau mit kurzen Schleifendetektoren (Recognition of Traffic Jam Using Short Loop Detectors). Tagungsband der Heureka 1999. Forschungsgesellschaft für Straßen- und Verkehrswesen, Cologne, Germany, 1999.
12. Friedrich B. Ein verkehrsadaptives Verfahren zur Steuerung von Lichtsignalanlagen (A Traffic Adaptive Model for Signal Control). Dissertation. Schriftenreihe des Fachgebiets Verkehrstechnik und Verkehrsplanung der Technischen Universität München, Munich, Germany, 1999.
13. Friedrich B. Steuerung von Lichtsignalanlagen: BALANCE–ein neuer Ansatz (Traffic Signal Control: BALANCE–A New Approach). Straßenverkehrstechnik, 7/2000. Kirschbaum Verlag, Bonn, Germany, 2000.
14. Mück J. Schätzverfahren für den Verkehrszustand an Lichtsignalanlagen unter Verwendung halteliniennaher Detektoren (A Model for Estimating Traffic States at Signalized Intersection Using Near Stop Line Detectors). Straßenverkehrstechnik, 11/2001. Kirschbaum Verlag, Bonn, Germany, 2001.
15. Papageorgiou M. Optimierung: Statische, dynamische, stochastische Verfahren für die Anwendung (Optimization: Static, Dynamic, Stochastic Models for Application). Oldenbourg, Munich, Wien, Germany, 1991.
16. Wu N. Evaluierung und Erweiterung von Verfahren zur Bewertung von verkehrsabhängigen, zeitlückengesteuerten Lichtsignalanlagen (Evaluation and Extension of Models for Assessing Actuated, Gap-Controlled Signals). Straßenverkehrstechnik, 9/2005. Kirschbaum Verlag, Bonn, Germany, 2005.

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Article first published online: January 1, 2017
Issue published: January 2017

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© 2017 National Academy of Sciences.
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Authors

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Ning Wu
Institute for Traffic Engineering and Management, Ruhr-University Bochum, Universitaetsstr. 150, D-44801 Bochum, Germany
Stefan Giuliani
Institute for Traffic Engineering and Management, Ruhr-University Bochum, Universitaetsstr. 150, D-44801 Bochum, Germany
Justin Geistefeldt
Institute for Traffic Engineering and Management, Ruhr-University Bochum, Universitaetsstr. 150, D-44801 Bochum, Germany

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