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We consider a discrete population of users with homogeneous service demand who need to decide when to arrive to a system in which the service rate deteriorates linearly with the number of users in the system. The users have heterogeneous…

Computer Science and Game Theory · Computer Science 2016-05-30 Liron Ravner , Moshe Haviv , Hai L. Vu

As Mobility as a Service (MaaS) systems become increasingly popular, travel is changing from unimodal trips to personalized services offered by a platform of mobility operators. Evaluation of MaaS platforms depends on modeling both user…

Computers and Society · Computer Science 2020-08-14 Theodoros P. Pantelidis , Joseph Y. J. Chow , Saeid Rasulkhani

The estimation of pedestrian traffic in urban areas is often performed with computationally intensive microscopic models that usually suffer from scalability issues in large-scale footpath networks. In this study, we present a new…

Systems and Control · Electrical Eng. & Systems 2025-12-23 Tanapon Lilasathapornkit , David Rey , Wei Liu , Meead Saberi

We present a conceptual framework for the dynamic traffic resources allocation problem in a situation of elastic demand among customers. We introduce an activity-based model to express customers' successive actions and transfers in order to…

Computer Science and Game Theory · Computer Science 2018-06-29 Keiichiro Hayakawa , Eiji Hato

Integrating land use, travel demand, and traffic models represents a gold standard for regional planning, but is rarely achieved in a meaningful way, especially at the scale of disaggregate data. In this report, we present a new pipeline…

Computers and Society · Computer Science 2018-02-27 Paul Waddell , Geoff Boeing , Max Gardner , Emily Porter

This paper proposes a simplified version of classical models for urban transportation networks, and studies the problem of controlling intersections with the goal of optimizing network-wide congestion. Differently from traditional…

Optimization and Control · Mathematics 2018-11-08 Gianluca Bianchin , Fabio Pasqualetti

The heavy traffic and related issues have always been concerns for modern cities. With the help of deep learning and reinforcement learning, people have proposed various policies to solve these traffic-related problems, such as smart…

Machine Learning · Computer Science 2021-05-27 Chang Liu , Guanjie Zheng , Zhenhui Li

Efficient traffic management is crucial for maintaining urban mobility, especially in densely populated areas where congestion, accidents, and delays can lead to frustrating and expensive commutes. However, existing prediction methods face…

Machine Learning · Computer Science 2023-05-25 Xuhong Wang , Ding Wang , Liang Chen , Yilun Lin

We propose a macroscopic traffic network flow model suitable for analysis as a dynamical system, and we qualitatively analyze equilibrium flows as well as convergence. Flows at a junction are determined by downstream supply of capacity as…

Systems and Control · Computer Science 2015-05-25 Samuel Coogan , Murat Arcak

In this note, we propose a case study of freeway traffic flow modeled as a hybrid system. We describe two general classes of networks that model flow along a freeway with merging onramps. The admission rate of traffic flow from each onramp…

Systems and Control · Computer Science 2018-03-02 Samuel Coogan , Murat Arcak

In this book we describe BMW traffic assignment model and Nesterov-dePalma model. We consider Entropy model for demand matrix. Based on this models we build multi-stage traffic assignment models. The equilibrium in such models can be found…

Optimization and Control · Mathematics 2020-08-21 Alexander Gasnikov , Evgenia Gasnikova

We develop a Markovian traffic equilibrium model for ride-hailing in which vehicles, whether empty or hired, make sequential order-acceptance and link-choice decisions over a traffic network to maximize total discounted return in an…

Computer Science and Game Theory · Computer Science 2026-04-24 Song Gao , Hanyu Cheng , Chiwei Yan , Guocheng Jiang

This work is a geometrical approach to the optimization problem motivated by transportation system management. First, an attempt has been made to furnish a comprehensive account of geometric programming based on the elementary Finsler…

Optimization and Control · Mathematics 2021-09-06 Azam Asanjarani

Stochastic effects significantly influence the dynamics of traffic flows. Many dynamic traffic assignment (DTA) models attempt to capture these effects by prescribing a specific ratio that determines how flow splits across different routes…

Optimization and Control · Mathematics 2024-09-20 Lukas Graf , Tobias Harks , Michael Markl

Given the counters of vehicles that traverse the roads of a traffic network, we reconstruct the travel demand that generated them expressed in terms of the number of origin-destination trips made by users. We model the problem as a bi-level…

Optimization and Control · Mathematics 2022-06-02 Nicklas Sindlev Andersen , Marco Chiarandini , Kristian Debrabant

In this paper, we address the problem of modeling the traffic flow of a heritage city whose streets are represented by a network. We consider a mean field approach where the standard forward backward system of equations is also intertwined…

Optimization and Control · Mathematics 2019-09-09 Fabio Bagagiolo , Rosario Maggistro , Raffaele Pesenti

With accelerating urbanization and worsening traffic congestion, optimizing traffic signal systems to improve road throughput and alleviate congestion has become a critical issue. This study proposes a short-term traffic prediction model…

Physics and Society · Physics 2025-02-19 Shengda Zhao , Zhekun Liu , Jiaxin Yu , Bocheng Ju , Liang Wang , Xiaodong Zhang , Xinghua Zhang

In this paper we carry out a computational study of a novel microscopic follow-the-leader model for traffic flow on road networks. We assume that each driver has its own origin and destination, and wants to complete its journey in minimal…

Optimization and Control · Mathematics 2025-11-19 Emiliano Cristiani , Francesca L. Ignoto

Recent literature has proved that stable dynamic routing algorithms have solid theoretical foundation that makes them suitable to be implemented in a real protocol, and used in practice in many different operational network contexts. Such…

Networking and Internet Architecture · Computer Science 2008-12-18 Luca Muscariello , Diego Perino

In this paper we study dynamics inspired by Physarum polycephalum (a slime mold) for solving linear programs [NTY00, IJNT11, JZ12]. These dynamics are arrived at by a local and mechanistic interpretation of the inner workings of the slime…

Data Structures and Algorithms · Computer Science 2015-11-24 Damian Straszak , Nisheeth K. Vishnoi