New Formulations of the Stochastic User Equilibrium with Logit Route Choice as an Extension of the Deterministic Model
Published Online:27 Sep 2018https://doi.org/10.1287/trsc.2018.0839
References
- (1956) Studies in the Economics of Transportation (Yale University Press, New Haven, CT).Google Scholar
- (2001) Stochastic user equilibrium formulation for generalized nested logit model. Transportation Res. Record 1752:84–90.Crossref, Google Scholar
- (2005) Investigating path-based solution algorithms to the stochastic user equilibrium problem. Transportation Res. Part B 39:279–295.Crossref, Google Scholar
- (2012) Stochastic user equilibrium for route choice model based on random regret minimization. Transportation Res. Record 2284:100–108.Crossref, Google Scholar
- (2008) A path-based algorithm for the cross-nested logit stochastic user equilibrium traffic assignment. Comput.-Aided Civil Infrastructure Engrg. 24:15–25.Crossref, Google Scholar
- (1995) Alternatives to Dial’s logit assignment algorithm. Transportation Res. Part B 29:287–295.Crossref, Google Scholar
- (1997) Transport Network Analysis (Wiley, West Sussex, UK).Crossref, Google Scholar
- (2002) Network pricing optimization in multiuser and multimodal context with elastic demand. Transportation Res. Part B 36:779–798.Crossref, Google Scholar
- (2005) A within-day dynamic traffic assignment model for urban road networks. Transportation Res. Part B 39:1–29.Crossref, Google Scholar
- (1999) Discrete choice methods and their applications to short term travel decisions. Hall RW, ed. Handbook of Transportation Science, Internat. Series Oper. Res. Management Sci., Vol. 23 (Springer, Boston), 5–33.Crossref, Google Scholar
- (1982) Projection methods for variational inequalities with application to the traffic assignment problem. Math. Programming Stud. 17:139–159.Crossref, Google Scholar
- (1997) A general fixed-point approach to multimode multiuser equilibrium assignment with elastic demand. Transportation Sci. 31(2):107–128.Link, Google Scholar
- (1996) A modified logit route choice model overcoming path overlapping problems: Specification and some calibration results for interurban networks. Proc. 13th Internat. Sympos. Transportation Traffic Theory, 697–711.Google Scholar
- (1991) Algorithms for solving Fisk’s stochastic traffic assignment model. Transportation Res. Part B 25:405–412.Crossref, Google Scholar
- (1980) Traffic equilibrium and variational inequalities. Transportation Sci. 14(1):42–54.Link, Google Scholar
- (1983) Stochastic network equilibrium with multiple vehicle types and asymmetric, indefinite link cost Jacobians. Transportation Sci. 17(3):282–300.Link, Google Scholar
- (1977) On stochastic models of traffic assignment. Transportation Sci. 11(3):253–274.Link, Google Scholar
- (1996) An algorithm for the stochastic user equilibrium problem. Transportation Res. Part B 30:115–131.Crossref, Google Scholar
- (1971) A probabilistic multipath traffic assignment model which obviates path enumeration. Transportation Res. 5:83–111.Crossref, Google Scholar
- (2006) A path-based user-equilibrium traffic assignment algorithm that obviates path storage and enumeration. Transportation Res. Part B 40:917–936.Crossref, Google Scholar
- (1980) Some developments in equilibrium traffic assignment methodology. Transportation Res. Part B 14:243–256.Crossref, Google Scholar
- (1983) A linear-time algorithm for a special case of disjoint set union. Proc. 15th ACM Sympos. Theory Comput. (ACM, New York), 246–251.Google Scholar
- (2014) Local user cost equilibrium: A bush-based algorithm for traffic assignment. Transportmetrica A 10:15–54.Crossref, Google Scholar
- (2016) Solving a dynamic user equilibrium model based on splitting rates with gradient projection algorithms. Transportation Res. Part B 92:120–147.Crossref, Google Scholar
- (2006) An alternative approach to route choice simulation: The sequential models. Proc. Eur. Transport Conf., Strasbourg, France.Google Scholar
- (2007) Spillback congestion in dynamic traffic assignment: A macroscopic flow model with time-varying bottlenecks. Transportation Res. Part B 41:1114–1138.Crossref, Google Scholar
- (2014) Uniqueness of stochastic user equilibrium with asymmetric volume-delay functions for merging and diversion. Eur. J. Transportation Logist. 3(3–4):309–331.Crossref, Google Scholar
- (1997) Curbing the computational difficulty of the logit equilibrium assignment model. Transportation Res. Part B 31:315–326.Crossref, Google Scholar
- (2005) Contributions to the logit assignment model. Transportation Res. Record 1493:207–212.Google Scholar
- (1998) Algorithms for logit-based stochastic user equilibrium assignment. Transportation Res. Part B 32:539–549.Crossref, Google Scholar
- (2013) Q-generalized logit route choice and network equilibrium model. Procedia Soc. Behavioral Sci. 80:753–763.Crossref, Google Scholar
- (2015) The Traffic Assignment Problem: Models and Methods (Dover Publications, New York).Google Scholar
- (1982) The convergence of equilibrium algorithms with predetermined step sizes. Transportation Sci. 16(1):45–55.Link, Google Scholar
- (2015) Stochastic user equilibrium with equilibrated choice sets: Part II—Solving the restricted SUE for the logit family. Transportation Res. Part B 77:146–165.Crossref, Google Scholar
- (2003) An assignment model with modified logit, which obviates enumeration and overlapping problems. Transportation 30:177–201.Crossref, Google Scholar
- (1985) Urban Transport Networks: Equilibrium Analysis with Mathematical Programing Methods (Prentice Hall, Englewood Cliffs, NJ).Google Scholar
- (1979) The existence, uniqueness and stability of traffic equilibrium. Transportation Res. Part B 13:295–304.Crossref, Google Scholar
- (1952) Road paper: Some theoretical aspects of road traffic research. Proc. Institution Civil Engineers 1(3):352–368.Crossref, Google Scholar
- (2015) Stochastic user equilibrium with equilibrated choice sets: Part I—Model formulations under alternative distributions and restrictions. Transportation Res. Part B 77:166–181.Crossref, Google Scholar
- (2012) C-logit stochastic user equilibrium model: Formulations and solution algorithm. Transportmetrica 8:17–41.Crossref, Google Scholar

