A Predictive Continuum Dynamic User-Optimal Model for the Simultaneous Departure Time and Route Choice Problem in a Polycentric City
Published Online:11 Oct 2018https://doi.org/10.1287/trsc.2017.0785
References
- (2012a) Continuous-time point-queue models in dynamic network loading. Transportation Res. Part B 46:360–380.Crossref, Google Scholar
- (2012b) Modeling and solving continuous-time instantaneous dynamic user equilibria: A differential complementarity systems approach. Transportation Res. Part B 46:389–408.Crossref, Google Scholar
- (1968) The fixed point theory of multi-valued mappings in topological vector spaces. Math. Ann. 177:283–301.Crossref, Google Scholar
- (1983) Stochastic equilibrium-model of peak period traffic congestion. Transportation Sci. 17(4):430–453.Link, Google Scholar
- (2013) Revisiting Jiang’s dynamic continuum model for urban cities. Transportation Res. Part B 56:96–119.Crossref, Google Scholar
- (1956) An algorithm for quadratic programming. Naval Res. Logist. Quart. 3:95–110.Crossref, Google Scholar
- (2006) Solving the dynamic network user equilibrium problem with state-dependent time shifts. Transportation Res. Part B 40:207–229.Crossref, Google Scholar
- (2011) Approximate network loading and dual-time-scale dynamic user equilibrium. Transportation Res. Part B 45:176–207.Crossref, Google Scholar
- (1993) A variational inequality formulation of the dynamic network user equilibrium problem. Oper. Res. 41(1):179–191.Link, Google Scholar
- (2013) Dynamic user equilibrium based on a hydrodynamic model. Transportation Res. Part B 47:102–126.Crossref, Google Scholar
- (1964) Convex programming in Hilbert space. Bull. Amer. Math. Soc. 70:709–710.Crossref, Google Scholar
- (2013) Existence of simultaneous route and departure choice dynamic user equilibrium. Transportation Res. Part B 53:17–30.Crossref, Google Scholar
- (2006) A review of the two-dimensional continuum modeling approach to transportation problems. J. Transportation Sysemes Engrg. Inform. Tech. 6:53–72.Crossref, Google Scholar
- (2006) Combined distribution and assignment model for a continuum traffic equilibrium problem with multiple user classes. Transportation Res. Part B 40:633–650.Crossref, Google Scholar
- (2002) Modeling and solving the dynamic user equilibrium route and departure time choice problem in network with queues. Transportation Res. Part B 36:253–273.Crossref, Google Scholar
- (1991) Traffic assignment by network decomposition and continuum approximation. J. Infrastructure Planning Management 425(IV-14):165–174.Google Scholar
- (2017) Dynamic continuum model with elastic demand for a polycentric urban city. Transportation Sci. 51(3):931–945.Link, Google Scholar
- (2009) A reactive dynamic continuum user equilibrium model for bi-directional pedestrian flows. Acta. Math. Sci. 29:1541–1555.Crossref, Google Scholar
- (1966) Constrained minimization methods. USSR Comp. Math. Math. Phys. 6:1–50.Crossref, Google Scholar
- (2017) A predictive continuum dynamic user-optimal model for a polycentric urban city. Transportmetrica B 5:228–247.Crossref, Google Scholar
- (2000a) Reformulating the traffic equilibrium problem via a smooth gap function. Math. Comput. Model. 31:179–195.Crossref, Google Scholar
- (2000b) Traffic equilibrium problem with route-specific costs: Formulation and algorithms. Transportation Res. Part B 34:493–513.Crossref, Google Scholar
- (2002a) A cell-based dynamic traffic assignment model: Formulation and properties. Math. Comput. Model. 35:849–865.Crossref, Google Scholar
- (2002b) A cell-based variational inequality formulation of the dynamic user optimal assignment problem. Transportation Res. Part B 36:421–443.Crossref, Google Scholar
- (2016) The nonlinear equation system approach to solving dynamic user optimal simultaneous route and departure time choice problems. Transportation Res. Part B 83:179–206.Crossref, Google Scholar
- (2015) A nonlinear equation system approach to the dynamic stochastic user equilibrium simultaneous route and departure time choice problem. Transportmetrica A 11:388–419.Crossref, Google Scholar
- (2018) A link-based dynamic complementarity system formulation for continuous-time dynamic user equilibria with queue spillbacks. Transportation Sci. 52(3):564–592.Link, Google Scholar
- (2015a) Approximating time delays in solving continuous-time dynamic user equilibria. Networks Spatial Econom. 15:443–463.Crossref, Google Scholar
- (2015b) Convergence of time discretization schemes for continuous-time dynamic network loading models. Networks Spatial Econom. 15:419–441.Crossref, Google Scholar
- (2008) Differential variational inequalities. Math. Program. 113:345–424.Crossref, Google Scholar
- (1996) A link-based variational inequality model for dynamic departure time/route choice. Transportation Res. Part B 30:31–46.Crossref, Google Scholar
- (1984) Urban Transportation Networks: Equilibrium Analysis with Mathematical Programming Techniques (Prentice Hall, Englewood Cliffs, NJ).Google Scholar
- (1982) The scheduling of consumer activities-work trips. Amer. Econom. Rev. 72:467–479.Google Scholar
- (2004) A cell-based simultaneous route and departure time choice model with elastic demand. Transportation Res. Part B 38:593–612.Crossref, Google Scholar
- (2006) Dynamic traffic assignment: Properties and extensions. Transportmetrica 2:31–52.Crossref, Google Scholar
- (2012) Dynamic traffic assignment: Model classifications and recent advances in travel choice principles. Central Eur. J. Engrg. 2:1–18.Google Scholar
- (2011) A cell-based model for multi-class doubly stochastic dynamic traffic assignment. Comput.-Aided Civil Infrastructure Engrg. 26:595–611.Crossref, Google Scholar
- (2014) Dynamic system-optimal traffic assignment for a city using the continuum modeling approach. J. Adv. Transportation 48:782–797.Crossref, Google Scholar
- (2000) A predictive dynamic traffic assignment model in congested capacity-constrained road networks. Transportation Res. Part B 34:625–644.Crossref, Google Scholar
- (1987) Urban Spatial Traffic Patterns (Pion Ltd., London).Google Scholar
- (1995) A discrete-time, nested cost operator approach to the dynamic network user equilibrium problem. Transportation Sci. 29(1):79–92.Link, Google Scholar
- (2015) Systematic bias in transport model calibration arising from the variability of linear data projection. Transportation Res. Part B 75:1–18.Crossref, Google Scholar
- (2016) Network topological effects on the macroscopic bureau of public roads function. Transportmetrica A 12:272–296.Crossref, Google Scholar
- (1998) Departure time, route choice and congestion toll in a queuing network with elastic demand. Transportation Res. Part B 32:247–260.Crossref, Google Scholar
- (1994) Traffic assignment in a congested discrete/continuous transportation system. Transportation Res. Part B 28:161–174.Crossref, Google Scholar
- (2000) On the existence of solutions to the dynamic user equilibrium problem. Transportation Sci. 34(4):402–414.Link, Google Scholar

