Traffic and road planning simulation: simulation of freeway merging and diverging behavior
Pages 1693 - 1700
Abstract
Simplified theory of kinematic waves was proposed by Newell and uses cumulative arrival and departure counts to describe kinematic waves of freeway traffic. The original paper deals only with traffic on freeway mainline. It is of great interest, at least practically, to investigate whether the simplified theory can be used to simulate freeway traffic merging and diverging behavior. In his paper, Newell assumed that on-ramp traffic always has the priority and can bypass queues, if any. This assumption will be released so that traffic from the mainline and the on-ramp will have to compete for downstream supply. For off-ramps, Newell assumed that all vehicles that want to exit can always be able to do so. Again, this assumption is also released so that queues from either downstream can build up and block upstream traffic.
References
[1]
Hurdle V. F., Son B. 2000. Road Test of a Freeway Model. Transportation Research, Vol. 34A, No. 7, pp. 537--564.
[2]
Leonard II, J. D. 1997. Computer Implementation of a "Simplified Theory of Kinematic Waves." California Department of Transportation Report FHWA/CA/TO-98-01, Sacramento, CA.
[3]
Lighthill, M. and Whitham, G. 1955. On Kinematic Waves II. A Theory of Traffic Flow on Long Crowded Roads, Proc. Royal Society of London, Part A, Vol. 229, No. 1178, pp. 317--345.
[4]
Newell, G. F. 1993a. A simplified theory on kinematic waves in highway traffic, Part I: General Theory. Transportation Research, Vol. 27B, No. 4, pp. 281--287.
[5]
Newell, G. F. 1993b. A simplified theory on kinematic waves in highway traffic, Part II: Queuing at Freeway Bottlenecks. Transportation Research, Vol. 27B, No. 4, pp. 289--303.
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Newell, G. F. 1993c. A simplified theory on kinematic waves in highway traffic, Part III: Multi-destination Flows. Transportation Research, Vol. 27B, No. 4, pp. 305--313.
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Richards, P. I. 1956, Shock Waves on the Highway. Operations Research 4, pp. 42--51.
[8]
Son, B. 1996. A Study of G. F. Newell's Simplified Theory of Kinematic waves in Highway Traffic. Ph.D. Dissertation, Department of Civil Engineering, University of Toronto.
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- IIE: Institute of Industrial Engineers
- INFORMS/CS: Institute for Operations Research and the Management Sciences/College on Simulation
- ASA: American Statistical Association
- ACM: Association for Computing Machinery
- SIGSIM: ACM Special Interest Group on Simulation and Modeling
- IEEE/CS: Institute of Electrical and Electronics Engineers/Computer Society
- NIST: National Institute of Standards and Technology
- (SCS): The Society for Modeling and Simulation International
- IEEE/SMCS: Institute of Electrical and Electronics Engineers/Systems, Man, and Cybernetics Society
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Winter Simulation Conference
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Published: 07 December 2003
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WSC '03 Paper Acceptance Rate 128 of 189 submissions, 68%;
Overall Acceptance Rate 3,413 of 5,075 submissions, 67%
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