Alpha-reliable combined mean traffic equilibrium model with stochastic travel times

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• 作者：Wen-yi Zhang (1)
  Wei Guan 1)
  Li-ying Song 6 (1)
  Hui-jun Sun a> (1)
  
• 关键词：travel behavior ; risk attitude ; travel time reliability ; combined mean travel time ; wardropian user equilibrium
• 刊名：Journal of Central South University
• 出版年：2013
• 出版时间：December 2013
• 年：2013
• 卷：20
• 期：12
• 页码：3770-3778
• 全文大小：
• 作者单位：Wen-yi Zhang (1)
  Wei Guan 1)
  Li-ying Song 6 (1)
  Hui-jun Sun a> (1)
  
  1. Key Laboratory for Urban Transportation Complex Systems Theory and Technology of Ministry of Education, Beijing Jiaotong University, Beijing, 100044, China
  
• ISSN：2227-5223

文摘

Based on the reliability budget and percentile travel time (PTT) concept, a new travel time index named combined mean travel time (CMTT) under stochastic traffic network was proposed. CMTT here was defined as the convex combination of the conditional expectations of PTT-below and PTT-excess travel times. The former was designed as a risk-optimistic travel time index, and the latter was a risk-pessimistic one. Hence, CMTT was able to describe various routing risk-attitudes. The central idea of CMTT was comprehensively illustrated and the difference among the existing travel time indices was analyzed. The Wardropian combined mean traffic equilibrium (CMTE) model was formulated as a variational inequality and solved via an alternating direction algorithm nesting extra-gradient projection process. Some mathematical properties of CMTT and CMTE model were rigorously proved. Finally, a numerical example was performed to characterize the CMTE network. It is founded that that risk-pessimism is of more benefit to a modest (or low) congestion and risk network, however, it changes to be risk-optimism for a high congestion and risk network.