A Strategic Markovian Traffic Equilibrium Model for Capacitated Networks

Published Online:https://doi.org/10.1287/trsc.2020.1033

References

  • Akamatsu T (1996) Cyclic flows, Markov process and stochastic traffic assignment. Transportation Res. Part B: Methodological 30(5):369–386.CrossrefGoogle Scholar
  • Andreatta G , Romeo L (1988) Stochastic shortest paths with recourse. Networks 18(3):193–204.CrossrefGoogle Scholar
  • Arıkan U , Ahipasaoglu SD (2017) On the existence and convergence of the Markovian traffic equilibrium. Technical report, Singapore University of Technology and Design, Singapore.Google Scholar
  • Baillon JB , Cominetti R (2008) Markovian traffic equilibrium. Math. Programming 111(1-2):33–56.CrossrefGoogle Scholar
  • Beckmann M , McGuire CB , Winsten CB (1956) Studies in the Economics of Transportation (Yale University Press, New Haven, CT).Google Scholar
  • Boyce D , Janson B , Eash R (1981) The effect on equilibrium trip assignment of different link congestion functions. Transportation Res. Part A: General 15(3):223–232.CrossrefGoogle Scholar
  • Boyles SD , Tang S , Unnikrishnan A (2015) Parking search equilibrium on a network. Transportation Res. Part B: Methodological 81:390–409.CrossrefGoogle Scholar
  • Dafermos S (1980) Traffic equilibrium and variational inequalities. Transportation Sci. 14(1):42–54.LinkGoogle Scholar
  • Daganzo CF , Sheffi Y (1977) On stochastic models of traffic assignment. Transportation Sci. 11(3):253–274.LinkGoogle Scholar
  • De Cea J , Fernández E (1993) Transit assignment for congested public transport systems: An equilibrium model. Transportation Sci. 27(2):133–147.LinkGoogle Scholar
  • Dial RB (1971) A probabilistic multipath traffic assignment model which obviates path enumeration. Transportation Res. 5(2):83–111.CrossrefGoogle Scholar
  • Dial RB (2006) A path-based user-equilibrium traffic assignment algorithm that obviates path storage and enumeration. Transportation Res. Part B: Methodological 40(10):917–936.CrossrefGoogle Scholar
  • Fosgerau M , Frejinger E , Karlstrom A (2013) A link based network route choice model with unrestricted choice set. Transportation Res. Part B: Methodological 56:70–80.CrossrefGoogle Scholar
  • Guélat J , Florian M , Crainic TG (1990) A multimode multiproduct network assignment model for strategic planning of freight flows. Transportation Sci. 24(1):25–39.LinkGoogle Scholar
  • Khani A (2013) Models and solution algorithms for transit and intermodal passenger assignment (development of fast-trips model). PhD thesis, The University of Arizona, Tucson.Google Scholar
  • Kurauchi F , Bell MG , Schmöcker JD (2003) Capacity constrained transit assignment with common lines. J. Math. Model. Algorithms 2(4):309–327.CrossrefGoogle Scholar
  • Larsson T , Patriksson M (1995) An augmented Lagrangian dual algorithm for link capacity side constrained traffic assignment problems. Transportation Res. Part B: Methodological 29(6):433–455.CrossrefGoogle Scholar
  • Larsson T , Patriksson M (1999) Side constrained traffic equilibrium models, analysis, computation and applications. Transportation Res. Part B: Methodological 33(4):233–264.CrossrefGoogle Scholar
  • Marcotte P , Nguyen S , Schoeb A (2004) A strategic flow model of traffic assignment in static capacitated networks. Oper. Res. 52(2):191–212.LinkGoogle Scholar
  • Nie Y , Zhang H , Lee DH (2004) Models and algorithms for the traffic assignment problem with link capacity constraints. Transportation Res. Part B: Methodological 38(4):285–312.CrossrefGoogle Scholar
  • Patriksson M (2004) Algorithms for computing traffic equilibria. Networks Spatial Econom. 4(1):23–38.CrossrefGoogle Scholar
  • Polychronopoulos GH , Tsitsiklis JN (1996) Stochastic shortest path problems with recourse. Networks 27(2):133–143.CrossrefGoogle Scholar
  • Rambha T , Boyles SD , Unnikrishnan A , Stone P (2018) Marginal cost pricing for system optimal traffic assignment with recourse under supply-side uncertainty. Transportation Res. Part B: Methodological 110:104–121.CrossrefGoogle Scholar
  • Sheffi Y (1985) Urban Transportation Networks , vol. 6 (Prentice-Hall, Englewood Cliffs, NJ).Google Scholar
  • Spiess H , Florian M (1989) Optimal strategies: A new assignment model for transit networks. Transportation Res. Part B: Methodological 23(2):83–102.CrossrefGoogle Scholar
  • Unnikrishnan A , Waller ST (2009) User equilibrium with recourse. Networks Spatial Econom. 9(4):575–593.CrossrefGoogle Scholar
  • Wardrop JG (1952) Some Theoretical Aspects of Road Traffic Research (Institution of Civil Engineers, London).CrossrefGoogle Scholar
  • Wie BW , Tobin RL , Carey M (2002) The existence, uniqueness and computation of an arc-based dynamic network user equilibrium formulation. Transportation Res. Part B: Methodological 36(10):897–918.CrossrefGoogle Scholar
  • Wong S (1999) On the convergence of Bell’s logit assignment formulation. Transportation Res. Part B: Methodological 33(8):609–616.CrossrefGoogle Scholar
INFORMS site uses cookies to store information on your computer. Some are essential to make our site work; Others help us improve the user experience. By using this site, you consent to the placement of these cookies. Please read our Privacy Statement to learn more.