A dynamic traffic assignment model with traffic-flow relationships

A dynamic traffic assignment model with traffic-flow relationships

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Article ID: iaor19951797
Country: United States
Volume: 3C
Issue: 1
Start Page Number: 51
End Page Number: 72
Publication Date: Feb 1995
Journal: Transportation Research. Part C, Emerging Technologies
Authors: , ,
Abstract:

Conventional traffic assignment methods assume that the origin-destination (OD) demand is uniformly distributed over time to estimate the traffic pattern. This assumption does not hold for modeling peak periods of congestion in which the OD demand is time varying. In this paper, the authors present a dynamic traffic assignment model with traffic-flow relationships based on a bi-level optimization framework. The present assignment variable is the number of vehicles present on a link during a time step, rather than traffic flow, which is used in static assignment. Using the modified Greenshields speed-density relationship, the authors derive a link-cost function that is monotonically nondecreasing and convex with respect to density. To capture traffic dynamics, they use short time-steps. The model prevents violations of the first-in-first-out (FIFO) condition using constraints on the distances moved by vehicles during each time step. A solution algorithm which resembles a Stackelberg leader-follower problem is presented, and numerical results from networks of different sizes demonstrate that the proposed model performs satisfactorily.

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