Genetic Algorithm–Based Routing Problem Considering the Travel Reliability Under Asymmetrical Travel Time Distributions

Travel time reliability is a critical factor affecting travelers’ route choices, and standard deviation has been widely used as the quantitative measure in many routing models. However, there have been concerns regarding its behavioral interpretation and theoretical limitations when the underlying travel time distribution is asymmetrical. This study proposed use of semistandard deviation (SSD) as the measure of risk under uncertain conditions and demonstrates its conceptual advantages over its counterpart. Then, a routing strategy was formulated that minimized the total cost and that included both average travel time and a travel time reliability term between user-specified origin and destination. A sampling-based approach that used field-collected data was applied to capture the spatial dependencies of link travel times during the modeling process. The genetic algorithm was then adopted to solve the proposed model. Finally, the SSD-based model was numerically evaluated on a real-world network. The results indicate that the proposed model has a better interpretation of a traveler’s route decision involving skewed travel time distribution with excessively long delays.

[1]  Chang Wook Ahn,et al.  A genetic algorithm for shortest path routing problem and the sizing of populations , 2002, IEEE Trans. Evol. Comput..

[2]  Hani S. Mahmassani,et al.  Impacts of Correlations on Reliable Shortest Path Finding , 2013 .

[3]  Xing Wu Study on mean-standard deviation shortest path problem in stochastic and time-dependent networks: A stochastic dominance based approach , 2015 .

[4]  Zhaowang Ji,et al.  Multi-objective alpha-reliable path finding in stochastic networks with correlated link costs: A simulation-based multi-objective genetic algorithm approach (SMOGA) , 2011, Expert Syst. Appl..

[5]  Yu Nie,et al.  Modeling heterogeneous risk-taking behavior in route choice , 2011 .

[6]  Agachai Sumalee,et al.  Short-Term Traffic State Prediction Based on Temporal–Spatial Correlation , 2013, IEEE Transactions on Intelligent Transportation Systems.

[7]  Justin S. Chang,et al.  Assessing travel time reliability in transport appraisal , 2010 .

[8]  Y. Nie,et al.  Shortest path problem considering on-time arrival probability , 2009 .

[9]  Xing Wu,et al.  Modeling Heterogeneous Risk-Taking Behavior in Route Choice: A Stochastic Dominance Approach , 2011 .

[10]  Shirish S. Joshi,et al.  A Mean-Variance Model for Route Guidance in Advanced Traveler Information Systems , 2001, Transp. Sci..

[11]  Karthik K. Srinivasan,et al.  Sample-Based Algorithm to Determine Minimum Robust Cost Path with Correlated Link Travel Times , 2014 .

[12]  Hesham Rakha,et al.  Trip Travel-Time Reliability: Issues and Proposed Solutions , 2010, J. Intell. Transp. Syst..

[13]  Javier Estrada,et al.  Mean-semivariance behavior: Downside risk and capital asset pricing , 2007 .

[14]  Hani S. Mahmassani,et al.  Incorporating Reliability Performance Measures in Operations and Planning Modeling Tools , 2013 .

[15]  David M Levinson,et al.  Value of Travel Time Reliability: A Review of Current Evidence , 2010 .

[16]  Luiz Afonso dos Santos Senna,et al.  The influence of travel time variability on the value of time , 1994 .

[17]  Hani S. Mahmassani,et al.  Simulation-Based Method for Finding Minimum Travel Time Budget Paths in Stochastic Networks with Correlated Link Times , 2014 .

[18]  Stephen D. Boyles,et al.  An outer approximation algorithm for the robust shortest path problem , 2013 .

[19]  Zhaowang Ji,et al.  Path finding under uncertainty , 2005 .

[20]  Xuesong Zhou,et al.  Finding the most reliable path with and without link travel time correlation: A Lagrangian substitution based approach , 2011 .

[21]  Alan J Horowitz,et al.  Practical Considerations in Implementing Reliability of Travel Time in Forecasting of Regionwide Travel , 2012 .

[22]  Y. She Urban Transportation Networks: Equilibrium Analysis with Mathematical Programming Methods , 1985 .

[23]  Karin M Bauer,et al.  Identification and Evaluation of the Cost-Effectiveness of Highway Design Features to Reduce Nonrecurrent Congestion , 2014 .

[24]  Hani S. Mahmassani,et al.  Path comparisons for a priori and time-adaptive decisions in stochastic, time-varying networks , 2003, Eur. J. Oper. Res..