A path-size weibit stochastic user equilibrium model |
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| Institution: | 1. School of Business Administration, Southwestern University of Finance and Economics, PR China;2. Department of Civil and Environmental Engineering, The Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong, China;3. Institute for Transport Studies, University of Leeds, United Kingdom;1. Research Centre for Integrated Transport Innovation, School of Civil and Environmental Engineering, University of New South Wales, Sydney, NSW 2052, Australia;2. School of Computer Science and Engineering, University of New South Wales, Sydney, NSW 2052, Australia;3. Department of Civil and Environmental Engineering, University of Michigan, 2350 Hayward Street, Ann Arbor, MI, United States |
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| Abstract: | The aim of this paper is to develop a path-size weibit (PSW) route choice model with an equivalent mathematical programming (MP) formulation under the stochastic user equilibrium (SUE) principle that can account for both route overlapping and route-specific perception variance problems. Specifically, the Weibull distributed random error term handles the identically distributed assumption such that the perception variance with respect to different trip lengths can be distinguished, and a path-size factor term is introduced to resolve the route overlapping issue by adjusting the choice probabilities for routes with strong couplings with other routes. A multiplicative Beckmann’s transformation (MBec) combined with an entropy term are used to develop the MP formulation for the PSW-SUE model. A path-based algorithm based on the partial linearization method is adopted for solving the PSW-SUE model. Numerical examples are also provided to illustrate features of the PSW-SUE model and its differences compared to some existing SUE models as well as its applicability on a real-size network. |
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| Keywords: | Stochastic user equilibrium Random utility model Weibull distribution Logit model Path-size weibit model |
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