STOCHASTIC MODELS IN TRAFFIC FLOW THEORY: INTERSECTION CONTROL
A NEW MODEL OF A VEHICLE-ACTUATED TRAFFIC SIGNAL IS INTRODUCED. THIS MODEL IS A NATURAL GENERALIZATION OF THE FIXED-CYCLE TRAFFIC SINGAL AND CAN BE ANALYZED UNDER CERTAIN DEPENDENT INPUT CONDITIONS. THE FIRST MODEL APPLIES TO THE INTERSECTION OF 2 ONE-WAY, ONE-LANE STREETS. THE TIME-DEPENDENT AND ASYMPTOTIC BEHAVIOR OF THE TRAFFIC SIGNAL AND THE TRAFFIC QUEUES IS DETERMINED BY USING RESULTS FROM THE THEORY OF STORAGE. EXACT DISTRIBUTIONS OF GREEN TIMES AND THEIR MOMENTS ARE DETERMINED. CONDITIONS FOR ASYMPTOTIC STABILITY ARE GIVEN, AND WHEN THESE CONDITIONS ARE SATISFIED THE STEADY-STATE QUEUE SIZES ARE DETERMINED. EXPECTED TOTAL DELAY PER CYCLE IS USED AS A CRITERION OF OPTIMALITY, AND THE OPTIMAL SIGNAL SETTINGS ARE GIVEN IN CERTAIN SPECIAL CASES. THE MODEL IS GENERALIZED TO INCLUDE MORE COMPLICATED INTERSECTIONS, SUCH AS THE INTERSECTION OF K=2 ONE-WAY, ONE-LANE STREETS, A FOUR-WAY INTERSECTION WITH NO LEFT-TURNING VEHICLES, AND A FOUR-WAY INTERSECTION WITH A SEPARATE CYCLE PHASE FOR LEFT-TURNING VEHICLES. TWO TYPES OF DEPENDENT INPUT PROCESSES ARE CONSIDERED-MARKOV CHAINS AND MARTINGALES. MANY OF THE PRECEDING RESULTS CARRY OVER TO THESE TYPES OF INPUT PROCESSES. /AUTHOR/
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Supplemental Notes:
- Paper sponsored by Committee on Theory of Traffic Flow and presented at the 49th Annual Meeting. Distribution, posting, or copying of this PDF is strictly prohibited without written permission of the Transportation Research Board of the National Academy of Sciences. Unless otherwise indicated, all materials in this PDF are copyrighted by the National Academy of Sciences. Copyright © National Academy of Sciences. All rights reserved.
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Authors:
- Lehoczky, John P
- Publication Date: 1970
Media Info
- Media Type: Digital/other
- Features: References;
- Pagination: pp 1-7
- Monograph Title: Traffic flow theory
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Serial:
- Highway Research Record
- Issue Number: 334
- Publisher: Highway Research Board
Subject/Index Terms
- TRT Terms: Four leg intersections; Intersections; Left turns; Mathematical models; One way traffic; Stochastic processes; Traffic actuated controllers; Traffic delays; Traffic signal control systems; Two lane highways
- Uncontrolled Terms: Two way traffic
- Old TRIS Terms: Four way intersections
- Subject Areas: Data and Information Technology; Highways; Operations and Traffic Management;
Filing Info
- Accession Number: 00227304
- Record Type: Publication
- Files: TRIS, TRB
- Created Date: Jun 11 1971 12:00AM