Progression Factor for Queue Length and Other Queue-Related Statistics

Abstract

A method is presented that extends the U.S. Highway Capacity Manual (HCM) delay progression factor method to the prediction of queue length, queue clearance time, proportion queued (stopped), and queue move-up rate. These predictions are achieved by the introduction of an additional progression factor and adoption of the HCM overflow term adjustment factor, providing a simple method to allow for the effects of platooned arrivals on the performance of coordinated signalized intersections. The method is useful at the level of basic capacity and performance analysis of a single intersection where detailed platooned arrival patterns generated at upstream signal stop lines are not available. The arrival types defined by the HCM as the basic input to define the characteristics of platooned arrivals are adopted for use in calculating the additional progression factor in the same way as the original HCM progression factor for delay. It is assumed that the reader has a good knowledge of the subject area.

Get full access to this article

View all access options for this article.

References

Special Report 209: Highway Capacity Manual, 3rd ed. TRB, National Research Council, Washington, D.C., 1994.

Akçelik

Signal Timing Analysis for Vehicle-Actuated Control. Working Paper WD TE 95/007. ARRB Transport Research, Ltd., Vermont South, Australia, 1995.

Fambro

D. B.

, Chang

E. C. P.

, and Messer

C. J.

NCHRP Report 339: Effects of the Quality of Traffic Signal Progression on Delay. TRB, National Research Council, Washington, D.C., 1991.

Olszewski

P. S.

Traffic Signal Delay for Nonuniform Arrivals. Transportation Research Record 1287, TRB, National Research Council, Washington, D.C., 1990, pp. 42–53.

Akçelik

Traffic Signals: Capacity and Timing Analysis. Research Report ARR 123 (6th reprint). ARRB Transport Research Ltd., Vermont South, Australia, 1981.

Akçelik

Calibrating SIDRA, 2nd ed. Research Report ARR 180. ARRB Transport Research Ltd., Vermont South, Australia, 1990.

Miller

A. J.

Australian Road Capacity Guide—Provisional Introduction and Signalised Intersections. Australian Road Research Board, Bulletin 4, 1968.

Webster

F. V.

Traffic Signal Settings. Road Research Laboratory Technical Paper 39. HMSO, London, 1958.

Webster

F. V.

, and Cobbe

B. M.

Traffic Signals. HMSO, London, 1966.

10.

Akçelik

, and Chung

Traffic Performance Models for Un-signalised Intersections and Fixed-Time Signals. In Proc., 2nd International Symposium on Highway Capacity, Sydney, 1994, Australian Road Research Board, Vol. 1, pp. 21–50, 1994.

11.

Akçelik

, Chung

, and Besley

Roundabout Model Enhancements in SIDRA 4.1. Working Paper WD TE 95/005. ARRB Transport Research Ltd., Vermont South, Australia, 1995.

12.

Akçelik

, SIDRA 4.1 User Guide. ARRB Transport Research Ltd., Vermont South, Australia, 1995.

13.

Akçelik

Extension of the Highway Capacity Manual Progression Factor Method for Platooned Arrivals. Research Report ARR 276. ARRB Transport Research Ltd., Vermont South, Australia, 1995.

14.

Akçelik

, and Chung

Calibration of Performance Models for Traditional Vehicle-Actuated and Fixed-Time Signals. Working Paper WD TO 95/013. ARRB Transport Research Ltd., Vermont South, Australia, 1995.

15.

Akçelik

, and Rouphail

N. M.

Overflow Queues and Delays with Random and Platooned Arrivals at Signalised Intersections. Journal of Advanced Transportation, Vol. 28, No. 3, 1994, pp. 277–251.

16.

Rouphail

N. M.

, and Akçelik

Paired Intersections: Initial Development of Platooned Arrival and Queue Interaction Models. Working Paper WD TE91/010. ARRB Transport Research Ltd., Vermont South, Australia, 1991.

17.

Rouphail

N. M.

, and Akçelik

A Preliminary Model of Queue Interaction at Signalised Paired Intersections. In Proc., 16th ARRB Conference, Vol. 16, No. 5, 1992, pp. 325–345.

18.

Tarko

, Rouphail

N. M.

, and Akçelik

Overflow Delay at a Signalised Intersection Approach Influenced by an Upstream Signal: An Analytical Investigation. In Transportation Research Record 1398, TRB, National Research Council, Washington, 1993, pp. 82–89.

19.

TRANSYT 7F User Manual. FHWA, U.S. Department of Transportation; Transportation Research Center, University of Florida, Gainesville, 1988.

20.

Vincent

R. A.

, Mitchell

A. I.

, and Robertson

D. I.

User Guide to TRANSYT, Version 8. Report LR 888. Transport and Road Research Laboratory, Crowthorne, Berkshire, England.

21.

Johnson

, and Akçelik

Review of Analytical Software for Applicability to Paired Intersections. Proc., 16th ARRB Conference, Vol. 16, No. 5, 1992, pp. 347–367.