Sinyalize kavşaklarda gecikme tahmininin matematiksel modellenmesi I: Farklı çözümleme süreleri için zamana bağlı yeni bir gecikme modeli

Gecikme, trafik sinyal zamanlarının optimizasyonunda ve bir sinyalize kavşağın hizmet seviyesinin belirlenmesinde kullanılan önemli bir faktördür. Bu makalede, sinyalize kavşaklarda gecikmeyi tahmin etmek için farklı bir yöntem kullanılarak zamana bağlı bir gecikme modeli geliştirilmiştir. Bu modelin en önemli özelliği gecikme değişkeni k'nm literatürde yaygın olarak bilinen diğer modellerde olduğu gibi sabit bir sayı olmayıp, çözümleme süresinin bir fonksiyonu olarak ifade edilmesidir. Böylece sinyalize kavşaklarda gecikmenin değişen çözümleme süreleri için daha doğru tahmin edilmesi mümkün olacaktır. Geliştirilen model ile mevcut olan modellerin gecikme tahminleri karşılaştırıldığında, geliştirilen modelin değişen zaman koşullarını da göz önüne aldığından mevcut gecikme modellerine göre daha güvenilir olduğu görülmektedir.

Mathematical modeling of delay estimation at signalized intersections I: A new time-dependent delay model for various analysis time periods

Delay is an important factor in the optimization of traffic signals and the determination of the level of service of a signalized intersection. In this paper, using a different methodology a new time-dependent delay model was developed to estimate delay at signalized intersections. The most important feature of the proposed model is that it utilizes the delay parameter k as a function of analysis period instead of a fixed value used by the existing delay models. Therefore, the new model can produce more reasonable delay estimations at signalized intersections for variable time periods. A comparison of the delay estimations by the new model and the existing four different models indicated the delay estimations by the new model appear to be generally better than those by the other models.

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1. Allops, R. E., "Delay at a Fixed Time Traffic Signal-I: Theoretical Analysis," Transportation Science Vol. 6, No. 3, pp. 260-285,1972.

2. Webster, F. V., Traffic Signal Settings, Road Research Technical Paper No. 39, Road Research Laboratory, Her Majesty's Stationery Office, Berkshire, England, 1958.

3. Miller, A. J., Australian Road Capacity Guide Provisional Introduction and Signalized Intersections, Australian Road Research Board, Bulletin No. 4,1968

4. Burrow, Ian., "A Note on Traffic Delay Formulas," ITE Journal, Vol. 59, No. 10, October, pp. 29-32, 1989

5. Akçelik, R., "Appendix: A Note on the Generalised Delay Model" Compendium of Technical Papers, 60th Annual Meeting of Institute of Transportation Engineers, Orlando Florida, pp. 217-219,1990.

6. Hurdle, V.R., "Signalized Intersection Delay Models - A Primer for the Uninitiated," Transportation Research Record 971, Transportation Research Board, National Research Council, Washington, D.C., pp. 96-105,1984.

7. Catling, I., "A Time-dependent Approach to Junction Delays" Traffic Engineering and Control, 18(11), 520-523, 526,1977.

8. Akçelik, R., Time -Dependent Expressions for Delay, Stop Rate and Queue Length at Traffic Signals. Australian Road Research Board. Internal Report AIR 367-1, Victoria, Australia, October, 1980

9. Akçelik, R., "The Highway Capacity Manual Delay Formula for Signalized Intersections," ITE Journal Vol. 58 No. 3, March, pp. 23-27,1988.

10. Kimber, R.M., and Hollis, E.M., "Peak Period Traffic Delay at Road Junctions and Other Bottlenecks" Traffic Engineering and Control, 19(10), 442-446,1978.

11. Kimber, R.M., and Hollis, E.M., Traffic Queues and Delays at Road Junctions Transportation Road Research Laboratory, TRRL Report 909, Berkshire, England, 1979.

12. Akçelik, R. Traffic Signals: Capacity and Time Analysis Research Report ARR 123 Australian Road Research Board, Melbourne, Australia, 1981

13. Teply, S. (Ed), Canadian Capacity Guide for Signalized Intersections, Second Edition, Institute of Transportation Engineers, District 7, Canada,1995

14. TRB,1997 Transportation Research Board, Highway Capacity Manual, TRB Special Report 209, National Research Council, Washington D.C. 1997.

15. TRB, 2000 Transportation Research Board, Highway Capacity Manual, TRB Special Report 209, National Research Council, Washington D.C. 2000.

16. Kimber, R. M., Summersgill, I., and Burrow, I. J, "Delay Processes at Unsignalised Junctions: The Interrelation Between Geometric and Queueing Delay" Transportation Research -B 20B(6), 457-476,1986

17. Kimber, R. M., and Daly P, N., "Time-dependent Queueing at Road Junctions: Observation and Prediction" Transportation Research -B 20B (3), 187-203,1986.

18. Akçelik, R., and Rouphail, N. M., "Estimation of Delay at Traffic Signals for Variable Demand Conditions" Transportation Research -B Vol. 27B(2), 109-131,1993.

19. Akçelik, R., and Rouphail, N. M., "Overflow Queues and Delay with Random and Platooned Arrivals at Signalized Intersections" Journal of Advanced Transportation, 28(3), 227-251,1994

20. Tvarko, A., Rouphail, N.M., and Akçelik, R., "Overflow Delay at a Signalized Intersection Approach Influenced by An Upstream Signal: An Analytical Investigation" Transportation Research Recor 1389, Transportation Research Board, National Research Council, Washington, D.C, 82-89,1994.

21. Daniel, J. R., "Accounting for Non-random Arrivals in the Estimate of Delay at Signalized Intersections" Ph.D. Dissertation, School of Engineering, Texas A&M University, USA, 1995.

22. Daniel, J.R., Fambro, D.B., and Rouphail, N.M. "Accounting for Non-Random Arrivals in the Estimate of Delay at Signalized Intersections", Transportation. Research Record 1555, Transportation Research Board, National Research Council, Washington, D.C, 1996

23. Akgungor, A. P., "Analytical Models of Delay Estimation at Signalized Intersections for Variable Demand and Time Conditions", Ph.D. Dissertation, School of Engineering, University of Pittsburgh, USA.