Journal
TRANSPORTATION RESEARCH PART B-METHODOLOGICAL
Volume 59, Issue -, Pages 1-21Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.trb.2013.10.010
Keywords
Stochastic user equilibrium; Unconstrained minimization program; Weibull distribution; Route-specific perception variance; Logit; Weibit
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Funding
- Royal Thai Government Scholarship from Thailand
- Oriental Scholar Professorship Program
- Shanghai Ministry of Education in China to Tongji University, Shanghai, China
- Utah Transportation Center at Utah State University
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This study provides an unconstrained minimization program as an alternative formulation for the multinomial weibit (MNW) stochastic user equilibrium (SUE) model that explicitly considers the heterogeneous perception variances with respect to different trip lengths under congested conditions. Qualitative properties of the unconstrained minimization program are given to establish the equivalency and uniqueness of the MNW-SUE solution. The advantage of the unconstrained minimization programming formulation is that it allows the development of a link-based algorithm, which obviates path storage and enumeration. The methodological contributions lie in the derivation of the expected perceived travel cost (or the satisfaction function) that enables the development of an unconstrained MNW-SUE minimization program and a link-based stochastic loading mechanism combined with recent advances in line search strategies in the link-based algorithm. Numerical examples are also provided to illustrate the features of the MNW-SUE model and the link-based algorithm along with several extensions for future research. Published by Elsevier Ltd.
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