KINETIC THEORY OF TRAFFIC FLOW
UNTERSUCHUNGEN ZUR KINETISCHEN THEORIE DES VERKEHRSFLUSSES
A MATHEMATICAL THEORY WAS DEVELOPED WHICH CAN DESCRIBE TRAFFIC FLOW ON TWO LANED ROADS FROM FREE-FLOWING TO RESTRICTED TRAFFIC. A CLUSTER DESCRIPTION WAS SELECTED TO DEAL WITH THE TRANSITION AREA OF PARTLY RESTRICTED TRAFFIC. KINETIC FUNDAMENTAL EQUATIONS SIMILAR TO THE BOLTZMANN EQUATIONS FOR GAS MIXTURES WERE DEVELOPED WHICH COMPLETELY DESCRIBE THE SPEED DISTRIBUTIONS OF THE INDIVIDUAL CLUSTERS ON LANES. FOR THIS PURPOSE THE INDIVIDUAL RELAXATION, CONDENSATION AND DISSOCIATION TERMS OF THE RIGHT-HAND SIDES OF THE KINETIC EQUATIONS HAD TO BE DERIVED AGAIN, AS THE CORRESPONDING TERMS FROM KINETIC GAS THEORY CANNOT BE TRANSFERRED. THE SYSTEM OF EQUATIONS WAS TESTED ON SIMPLE CASES OF RELAXATION AND LOW CONCENTRATION. FOR HIGHER CONCENTRATION THE SYSTEM OF EQUATIONS IS SOLVED FOR THE HOMOGENEOUS CASE BY INTEGRAL ITERATION. KNOWLEDGE OF THE DISTRIBUTION FUNCTION FACILITATES DETERMINATION OF ALL MACROSCOPIC MAGNITUDES, E.G. VEHICLE FLOW, DISPERSION, LANE OCCUPANCY AND ENTROPY. TO COMPARE THE NUMERIC CALCULATIONS USE WAS MADE OF THE RESULTS OF A SPECIALLY DEVELOPED SIMULATION MODEL IN WHICH THE SAME BEHAVIOURAL RULES WERE CONSIDERED AS IN THE KINETIC MODEL.
Language
- German
Project
- Status: Completed
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Sponsor Organizations:
MINISTER FUER WISSENSCHAFT UND FORSCHUNG DES LANDES NORDRHEIN-WESTFALEN, LANDESAMT FUER FORSCHUNG (MINISTER FOR RESEARCH AND TECHNOLOGY OF NORTHRHINE WESTFALIA, STATE AUTHORITY FOR RESEARCH)
PRINZ-GEORG-STR. 126
DUESSELDORF, DEUTSCHLAND BR D-4000 -
Project Managers:
BEYLICH, A
-
Performing Organizations:
TECHNISCHE HOCHSCHULE AACHEN, STOSSWELLENLABORATORIUM (TECHNICAL UNIVERSITY OF AACHEN, SHOCK TUBE LABORATORY)
TEMPLERGRABEN
AACHEN, DEUTSCHLAND BR D-5100 - Start Date: 0
- Expected Completion Date: 0
- Actual Completion Date: 19770000
- Source Data: ITRD D702055
Subject/Index Terms
- TRT Terms: Acceleration (Mechanics); Deceleration; Distributions (Statistics); Dynamics; Mathematical analysis; Mathematical models; Research projects; Simulation; Speed; Tests; Theory; Traffic; Traffic density; Traffic lanes; Vehicle spacing
- ITRD Terms: 5405: Acceleration; 6471: Analysis (math); 5416: Deceleration; 6572: Distribution (stat); 5473: Dynamics; 6473: Mathematical model; 8557: Research project; 9103: Simulation; 5408: Speed; 6255: Test; 9078: Theory; 755: Traffic; 673: Traffic concentration; 2827: Traffic lane; 694: Vehicle spacing
- Subject Areas: Operations and Traffic Management; I71: Traffic Theory;
Filing Info
- Accession Number: 01295867
- Record Type: Research project
- Source Agency: Forschungsgesellschaft für Straßen- und Verkehrswesen (FGSV)
- Files: ITRD
- Created Date: Nov 21 2010 5:13AM