Abstract
With the continuous expansion of urban scales and the constant growth of traffic demands, it has become important to accurately predict the distribution of traffic flow so as to relieve the traffic jams and lower the energy consumption. This research mainly focuses on the distribution problem of traffic flow in the urban traffic network. A minimization program has been provided as an alternative formulation for the turning delay stochastic user equilibrium problem. The paper derives the Weibull distribution-based node-link random loading mechanism of turning delay for direct calculation of link and turning flows that are consistent with thepath flow, thus avoiding the enumeration of turning paths. Numerical examples are provided to illustrate the turning delay stochastic user equilibrium (SUE) model and the nodelink- based algorithm. The experiment demonstrates that the present method can reflect the relative performance of link and turning costs well, while presenting its advantages in the simulation of large-scale turning delay flow ssignment.
Highlights
With the rapid development of social economy and urbanization progress and the continuous expansion of urban scales, the social economic activities have become more and more frequent and the traffic demands grow continually
Random flow assignment method with turning delay has been established based on the stochastic user equilibrium (SUE) model [1, 3], where the link-based algorithm is solved after the addition of turning constraints
multinomial Logit (MNL) model has a simple form and effective realization algorithm, but it has two deficiencies: (i) The estimated cost distribution of alternative paths is assumed to be mutually independent, leading to loading of excessive flow on mutually overlapping paths. (ii) The estimated cost distribution of paths has a fixed variance which does not change with path features; this way, the impact of path cost cannot be reflected on the path choice
Summary
With the rapid development of social economy and urbanization progress and the continuous expansion of urban scales, the social economic activities have become more and more frequent and the traffic demands grow continually. One is the multinomial Logit (MNL) SUE model [5], based on the Gumbel random error term, that has a closed form solution. It can be found that almost all of the methods have borrowed some overlap processing features from the Probit model As they still use the Gumbel distribution, the variance of estimated path cost distribution remains fixed. Castillo et al [28] have proposed a method for solving SUE problem where the Gumbel distribution is replaced by the Weibull distribution The variance of this distribution is an increasing function of its mean, being a more natural assumption. In this paper the solution to the turning delay SUE problem when independent Weibull distributions are used for different path traffic costs has been extended.
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