Implementing the Concept of Reliability for Highway Capacity Analysis

A stochastic concept for highway capacity analysis is presented. The capacity of a highway facility is regarded as a random variable instead of a constant value. Thus, the stochastic approach provides new measures of traffic flow performance based on aspects of traffic reliability. A method for the estimation of capacity distribution functions from empirical data based on statistical methods for lifetime data analysis is introduced. This method is derived for the analysis of freeway capacity. However, the stochastic approach also is shown to be applicable to intersections. Results of the analysis of data samples from freeway sections in Germany indicate that freeway capacity is Weibull-distributed with a considerable variance. A Monte Carlo technique based on the stochastic description of capacity is proposed to quantify freeway traffic performance over a whole year. This technique also provides a quantitative assessment for oversaturated conditions.

[1]  W Schnabel,et al.  Die Kapazitaet von Knotenpunkten nach dem Handbuch fuer die Bemessung von Strassenverkehrsanlagen (HBS 2001) - Teil 2 / The Capacity of Intersections according to the German "Highway Capacity Manual'' (HBS 2001) - Part 2 , 2004 .

[2]  Hein Botma,et al.  Assessment of Roadway Capacity Estimation Methods , 1996 .

[3]  Reinhart D Kuhne,et al.  STOCHASTIC METHODS FOR ANALYSIS OF TRAFFIC PATTERN FORMATION. , 1999 .

[4]  E. Kaplan,et al.  Nonparametric Estimation from Incomplete Observations , 1958 .

[5]  R M Kimber,et al.  TRAFFIC QUEUES AND DELAYS AT ROAD JUNCTIONS , 1979 .

[6]  M. Baucus Transportation Research Board , 1982 .

[7]  Lily Elefteriadou,et al.  A PROBABILISTIC APPROACH TO DEFINING FREEWAY CAPACITY AND BREAKDOWN , 2000 .

[8]  H Zurlinden Ganzjahresanalyse des Verkehrsflusses auf Strassen , 2003 .

[9]  H Okamura,et al.  AN EMPIRICAL STUDY ON THE CAPACITY OF BOTTLENECKS ON THE BASIC SUBURBAN EXPRESSWAY SECTIONS IN JAPAN , 2000 .

[10]  Javrns,et al.  Flow Processes at a Freeway Bottleneck , 2022 .

[11]  T Sachse EINFLUSS DES BEZUGSINTERVALLS IN FUNDAMENTALDIAGRAMMEN AUF DIE ZUTREFFENDE BESCHREIBUNG DER LEISTUNGSFAEHIGKEIT VON STRASSENABSCHNITTEN , 1992 .

[12]  R Akcelik,et al.  IMPLEMENTATION OF THE AUSTRALIAN ROUNDABOUT ANALYSIS METHOD IN SIDRA. HIGHWAY CAPACITY AND LEVEL OF SERVICE. PROCEEDINGS OF THE INTERNATIONAL SYMPOSIUM ON HIGHWAY CAPACITY, KARLSRUHE, GERMANY, 24-27 JULY 1991 , 1991 .

[13]  Sam Yagar,et al.  Exploration of the Breakdown Phenomenon in Freeway Traffic , 1998 .

[14]  Werner Brilon TRAFFIC FLOW ANALYSIS BEYOND TRADITIONAL METHODS , 2000 .

[15]  Gordon Johnston,et al.  Statistical Models and Methods for Lifetime Data , 2003, Technometrics.

[16]  Lily Elefteriadou,et al.  Probabilistic nature of breakdown at freeway merge junctions , 1995 .

[17]  Werner Brilon,et al.  Reliability of Freeway Traffic Flow: A Stochastic Concept of Capacity , 2005 .

[18]  I Kossmann,et al.  Verkehrsentwicklung auf Bundesfernstrassen 2003. Jahresauswertung der automatischen Dauerzaehlstellen , 2005 .

[19]  Fred L. Hall,et al.  FREEWAY CAPACITY DROP AND THE DEFINITION OF CAPACITY , 1991 .

[20]  Cristián Zegers Ariztía,et al.  Manual , 2002 .

[21]  M Regler Verkehrsablauf und Kapazitaet auf Autobahnen , 2004 .