Computing Dynamic User Equilibria on Large-Scale Networks: From Theory to Software Implementation

Han, Ke; Eve, Gabriel; Friesz, Terry L.

doi:10.48550/arxiv.1810.00777

Cited by 1 publication

(2 citation statements)

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“…In this paper, we employ the variational formulation of the Lighthill-Whitham-Richards model known as the Lax-Hopf formula (Han et al, 2016), and the DNL model formulated as a system of differential algebraic equations. For space limitation, we outline the main steps of the DNL and refer the reader to Han et al (2018) for further derivation and details.…”

Section: Within-day Dynamic Network Loading Modelmentioning

confidence: 99%

“…The LWR-based DNL procedure is formulated as a system of differential algebraic equations, and we present its discretized version here without going through the detailed derivation. For more extensive discussion and numerical examples, the reader is referred to Han et al (2018). Recalling the notations from Section 4.1, we present the DNL procedure in discrete time as follows.…”

Section: Dynamic Network Loading Proceduresmentioning

confidence: 99%

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Day-to-day dynamic traffic assignment with imperfect information, bounded rationality and information sharing

Han

Ochieng

2020

Transportation Research Part C: Emerging Technologies

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This paper presents a doubly dynamic day-to-day (DTD) traffic assignment model with simultaneous route-and-departure-time (SRDT) choices while incorporating incomplete and imperfect information as well as bounded rationality. Two SRDT choice models are proposed to incorporate imperfect travel information: One based on multinomial Logit (MNL) model and the other on sequential, mixed multinomial/nested Logit model. These two variants, serving as based models, are further extended with two features: bounded rationality (BR) and information sharing. BR is considered by incorporating the indifference band into the random utility component of the MNL model, forming a BR-based DTD stochastic model. A macroscopic model of travel information sharing is integrated into the DTD dynamics to account for the impact of incomplete information on travelers' SRDT choices. These DTD choice models are combined with within-day dynamics following the Lighthill-Whitham-Richards (LWR) fluid dynamic network loading model. Simulations on large-scale networks (Anaheim) illustrate the interactions between users' adaptive decision making and network conditions (including local disruption) with different levels of information availability and user behavior. Our findings highlight the need for modeling network transient and disequilibriated states, which are often overlooked in equilibrium-constrained network design and optimization.

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Section: Within-day Dynamic Network Loading Modelmentioning

confidence: 99%

Section: Dynamic Network Loading Proceduresmentioning

confidence: 99%