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An analysis of instability in a departure time choice problem

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References

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1984The Stability of a Dynamic Model of Traffic Assignment—An Application of a Method of Lyapunov487 cited
1985The Uniqueness of a Time-dependent Equilibrium Distribution of Arrivals at a Single Bottleneck232 cited
2004Existence, Uniqueness, and Trip Cost Function Properties of User Equilibrium in the Bottleneck Model with Multiple User Classes232 cited
2006DYNAMIC TRAFFIC ASSIGNMENT: PROPERTIES AND EXTENSIONS202 cited
1999Stability of the stochastic equilibrium assignment problem: a dynamical systems approach184 cited
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Cited by

2016Day-to-day dynamical model incorporating an explicit description of individuals’ information collection behaviour27 cited
2017Day-to-day departure time choice under bounded rationality in the bottleneck model27 cited
2020Stable Day-to-Day Dynamics for Departure Time Choice22 cited
2023The Day-to-Day Departure Time Choice of Heterogeneous Commuters Under an Anonymous Toll Charge for System Optimum20 cited
2019Responsive bus dispatching strategy in a multi-modal and multi-directional transportation system: a doubly dynamical approach19 cited
2021Stable local dynamics for day-to-day departure time choice15 cited

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2021

Monotonicity in the trip scheduling problem

12 cited

2019Properties of equilibria in transport problems with complex interactions between users11 cited

2021Quantifying service-reliability-based day-to-day evolution of travel choices in public transit systems with smart transit card data8 cited

2019Stabilisation strategy for unstable transport systems under general evolutionary dynamics8 cited

2024Estimating Markov Chain Mixing Times: Convergence Rate Towards Equilibrium of a Stochastic Process Traffic Assignment Model5 cited

2024Stability analysis of a departure time choice problem with atomic vehicle models5 cited

2019Stabilisation strategy for unstable transport systems under general evolutionary dynamics5 cited

2025A Two-Stage Iteration Method for Solving the Departure Time Choice Problem4 cited

2021A Dynamic Day-To-Day Departure Time and Route Choice Model for Bounded-Rational Individuals4 cited

2026Impacts of within-day decision-making within a stochastic process traffic assignment model3 cited