Multi-class percentile user equilibrium with flow-dependent stochasticity

Article history: Received 19 October 2010 Received in revised form 5 June 2011 Accepted 5 June 2011 Available online xxxx

[1]  R. Jayakrishnan,et al.  A FASTER PATH-BASED ALGORITHM FOR TRAFFIC ASSIGNMENT , 1994 .

[2]  Mike Maher,et al.  Algorithms for logit-based stochastic user equilibrium assignment , 1998 .

[3]  Wai Yuen Szeto,et al.  Generalisation of the Risk-Averse Traffic Assignment , 2007 .

[4]  Hong Kam Lo,et al.  Doubly Uncertain Transport Network: Degradable Link Capacity and Perception Variations in Traffic Conditions , 2006 .

[5]  C. Fisk Some developments in equilibrium traffic assignment , 1980 .

[6]  D. Bertsekas On the Goldstein-Levitin-Polyak gradient projection method , 1974, CDC 1974.

[7]  Moshe Ben-Akiva,et al.  Discrete Choice Analysis: Theory and Application to Travel Demand , 1985 .

[8]  Yu Nie,et al.  Multi-class percentile user equilibrium with flow-dependent stochasticity , 2011 .

[9]  Dominique Lord,et al.  Modeling crash-flow-density and crash-flow-V/C ratio relationships for rural and urban freeway segments. , 2005, Accident; analysis and prevention.

[10]  P. Hughes,et al.  A PROBIT-BASED STOCHASTIC USER EQUILIBRIUM ASSIGNMENT MODEL , 1997 .

[11]  Peter C. Nelson,et al.  Reliable route guidance: A case study from Chicago , 2012 .

[12]  Sam Yagar,et al.  Exploration of the Breakdown Phenomenon in Freeway Traffic , 1998 .

[13]  Boris S. Kerner,et al.  Theory of Breakdown Phenomenon at Highway Bottlenecks , 2000 .

[14]  Yasunori Iida,et al.  RISK ASSIGNMENT: A NEW TRAFFIC ASSIGNMENT MODEL CONSIDERING THE RISK OF TRAVEL TIME VARIATION. , 1993 .

[15]  Randolph W. Hall,et al.  TRAVEL OUTCOME AND PERFORMANCE: THE EFFECT OF UNCERTAINTY ON ACCESSIBILITY , 1983 .

[16]  Agachai Sumalee,et al.  Modeling impacts of adverse weather conditions on a road network with uncertainties in demand and supply , 2008 .

[17]  Zhong Zhou,et al.  A Stochastic α-reliable Mean-excess Traffic Equilibrium Model with Probabilistic Travel Times and Perception Errors , 2009 .

[18]  Lily Elefteriadou,et al.  Probability of breakdown at freeway merges using Markov chains , 2001 .

[19]  Michael G.H. Bell,et al.  Risk-averse user equilibrium traffic assignment: an application of game theory , 2002 .

[20]  Carlos F. Daganzo,et al.  Stochastic network equilibrium with multiple vehicle types and asymmetric , 1983 .

[21]  David P. Watling,et al.  User equilibrium traffic network assignment with stochastic travel times and late arrival penalty , 2006, Eur. J. Oper. Res..

[22]  Moshe Livneh,et al.  Relationships between road accidents and hourly traffic flow—I: Analyses and interpretation , 1982 .

[23]  T. Koopmans,et al.  Studies in the Economics of Transportation. , 1956 .

[24]  William H. K. Lam,et al.  New technology and the modeling of risk-taking behavior in congested road networks , 2004 .

[25]  W. Y. Szeto,et al.  Risk-Averse Traffic Assignment with Elastic Demands: NCP Formulation and Solution Method for Assessing Performance Reliability , 2006 .

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

[27]  Carlos F. Daganzo,et al.  On Stochastic Models of Traffic Assignment , 1977 .

[28]  M. Bell Alternatives to Dial's logit assignment algorithm , 1995 .

[29]  Zhong Zhou,et al.  The [alpha]-reliable Mean-Excess Traffic Equilibrium Model with Stochastic Travel Times , 2010 .

[30]  J. G. Wardrop,et al.  Some Theoretical Aspects of Road Traffic Research , 1952 .

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

[32]  Hong Kam Lo,et al.  Degradable transport network: Travel time budget of travelers with heterogeneous risk aversion , 2006 .

[33]  Fernando Ordóñez,et al.  Wardrop Equilibria with Risk-Averse Users , 2010, Transp. Sci..

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

[35]  Hong Kam Lo,et al.  Network with degradable links: capacity analysis and design , 2003 .

[36]  V. Sisiopiku,et al.  Relationship Between Volume-to-Capacity Ratios and Accident Rates , 1997 .

[37]  R. Ash,et al.  Probability and measure theory , 1999 .

[38]  Warren B. Powell,et al.  An algorithm for the equilibrium assignment problem with random link times , 1982, Networks.

[39]  William H. K. Lam,et al.  A Reliability-Based Stochastic Traffic Assignment Model for Network with Multiple User Classes under Uncertainty in Demand , 2006 .

[40]  Pitu Mirchandani,et al.  Generalized Traffic Equilibrium with Probabilistic Travel Times and Perceptions , 1987, Transp. Sci..