Journal
TRANSPORTATION PLANNING AND TECHNOLOGY
Volume 36, Issue 5, Pages 463-478Publisher
TAYLOR & FRANCIS LTD
DOI: 10.1080/03081060.2013.818275
Keywords
C-logit; stochastic user equilibrium; elastic demand; partial linearization
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Funding
- China Scholarship Council Fellowship from China
- Oriental Scholar Professorship Program
- Shanghai Ministry of Education in China
- Utah Transportation Center at Utah State University
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Modeling the elasticity of travel demand in network equilibrium analysis has several important transportation applications. In this paper, we provide a mathematical programming formulation for the C-logit stochastic user equilibrium problem with elastic demand (CL-SUE-ED) in the route domain. The proposed model is capable of explicitly modeling the elasticity of travel demand and the effect of route overlapping on travel choice and route choice simultaneously. Some qualitative properties of the model, including the equivalency and uniqueness of the solution, are also rigorously proved. To solve the CL-SUE-ED model, a partial linearization method is developed to handle the elastic demand and route overlapping considerations. In addition, a self-regulated averaging stepsize scheme is adopted to smartly determine the stepsize while avoiding evaluating the complex objective function. Numerical examples are also provided to demonstrate the features of the proposed model and solution algorithm.
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