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This paper analyzes the use of variable speed limits to optimize travel time reliability for commuters. The investigation focuses on a traffic corridor with a bottleneck subject to the capacity drop phenomenon. The optimization criterion is…

Optimization and Control · Mathematics 2025-09-16 Alexander Hammerl , Ravi Seshadri , Thomas Kjær Rasmussen , Otto Anker Nielsen

This paper presents a systematic approach for analyzing the departure-time choice equilibrium (DTCE) problem of a single bottleneck with heterogeneous commuters. The approach is based on the fact that the DTCE is equivalently represented as…

Optimization and Control · Mathematics 2025-09-16 Takashi Akamatsu , Kentaro Wada , Takamasa Iryo , Shunsuke Hayashi

Vickrey's classic single-bottleneck departure time choice equilibrium model exhibits instability under many plausible day-to-day learning dynamics. Such instability is not observed in reality -- does this difference stem from the day-to-day…

Computer Science and Game Theory · Computer Science 2026-04-16 Hillel Bar-Gera , Stephen D. Boyles , Liron Ravner

This study examines how scale economies in the operation of shared autonomous vehicles (SAVs) affect the efficiency of a transportation system where SAVs coexist with normal vehicles (NVs). We develop a bottleneck model where commuters…

Optimization and Control · Mathematics 2026-02-02 Koki Satsukawa , Yuki Takayama

Flextime is one of the efficient approaches in travel demand management to reduce peak hour congestion and encourage social distancing in epidemic prevention. Previous literature has developed bi-level models of the work starting time…

General Economics · Economics 2021-04-05 Qida Su , David Z. W. Wang

We study the equilibrium behavior in a multi-commodity selfish routing game with many types of uncertain users where each user over- or under-estimates their congestion costs by a multiplicative factor. Surprisingly, we find that…

Computer Science and Game Theory · Computer Science 2018-01-12 Shreyas Sekar , Liyuan Zheng , Lillian J. Ratliff , Baosen Zhang

Given two probability measures on sequential data, we investigate the transport problem with time-inconsistent preferences in a discrete-time setting. Motivating examples are nonlinear objectives, state-dependent costs, and regularized…

Optimization and Control · Mathematics 2025-06-23 Erhan Bayraktar , Bingyan Han

Departure time choice models play a crucial role in determining the traffic load in transportation systems. This paper introduces a new framework to model and analyze the departure time user equilibrium (DTUE) problem based on the so-called…

This contribution provides microscopic experimental study of pedestrian motion in front of the bottleneck, explains the high variance of individual travel time by the statistical analysis of trajectories. The analysis shows that this…

Physics and Society · Physics 2018-01-08 Marek Bukáček , Pavel Hrabák , Milan Krbálek

I develop a continuous-time model in which an incumbent batch-service provider faces stochastic passenger arrivals and must decide when to dispatch under the threat of customer defection to a faster entrant. The incumbent's problem is…

Theoretical Economics · Economics 2025-05-28 Md Mahadi Hasan

Stochastic User Equilibrium (SUE) models depict the perception differences in traffic assignment problems. According to the assumption of an unbounded perceived travel time distribution, the conventional SUE problems result in a positive…

General Economics · Economics 2024-02-29 Songyot Kitthamkesorn , Anthony Chen

Persuasive scholarship presents how individual daily travel habits implicate congestion, environmental pollution, and the travel experience. However, the empirical characteristics and dynamics of travel habits remain poorly understood.…

Physics and Society · Physics 2025-05-07 Jiwon Kim , Jonathan Corcoran

Accurately forecasting bus travel time and passenger occupancy with uncertainty is essential for both travelers and transit agencies/operators. However, existing approaches to forecasting bus travel time and passenger occupancy mainly rely…

Applications · Statistics 2024-12-12 Xiaoxu Chen , Zhanhong Cheng , Alexandra M. Schmidt , Lijun Sun

Tradable mobility credit (TMC) schemes are an approach to travel demand management that have received significant attention in recent years. This paper proposes and analyzes alternative market models for a TMC system -- focusing on market…

In machine learning and computer vision, optimal transport has had significant success in learning generative models and defining metric distances between structured and stochastic data objects, that can be cast as probability measures. The…

Machine Learning · Computer Science 2020-10-20 Anton Mallasto , Markus Heinonen , Samuel Kaski

In this paper we present a stable day-to-day dynamical system for drivers' departure time choice at a single bottleneck. We first define within-day traffic dynamics with the point queue model, costs, the departure time user equilibrium…

Optimization and Control · Mathematics 2018-01-30 Wen-Long Jin

We present a novel model for capturing the behavior of an agent exhibiting sunk-cost bias in a stochastic environment. Agents exhibiting sunk-cost bias take into account the effort they have already spent on an endeavor when they evaluate…

Computer Science and Game Theory · Computer Science 2021-06-22 Jon Kleinberg , Sigal Oren , Manish Raghavan , Nadav Sklar

In this paper, we study a routing and travel-mode choice problem for mobility systems with a multimodal transportation network as a ``mobility game" with coupled action sets. We develop a game-theoretic framework to study the impact on…

Computer Science and Game Theory · Computer Science 2022-12-15 Ioannis Vasileios Chremos , Andreas A. Malikopoulos

When there are significant service disruptions in public transit systems, passengers usually need guidance to find alternative paths. This paper proposes a path recommendation model to mitigate congestion during public transit disruptions.…

Optimization and Control · Mathematics 2025-05-20 Baichuan Mo , Haris N. Koutsopoulos , Max Zuo-Jun Shen , Jinhua Zhao

Urban traffic congestion remains a persistent issue for cities worldwide. Recent macroscopic models have adopted a mathematically well-defined relation between network flow and density to characterize traffic states over an urban region.…

Optimization and Control · Mathematics 2024-02-09 Mostafa Ameli , Jean-Patrick Lebacque , Negin Alisoltani , Ludovic Leclercq
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