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Schedule-based transit assignment describes congestion in public transport services by modeling the interactions of passenger behavior in a time-space network built directly on a transit schedule. This study investigates the theoretical…

最优化与控制 · 数学 2023-04-06 Takashi Akamatsu , Koki Satsukawa , Yuki Oyama

In this paper we consider the application of several gradient methods to the traffic assignment problem: we search equilibria in the stable dynamics model (Nesterov and De Palma, 2003) and the Beckmann model. Unlike the celebrated…

最优化与控制 · 数学 2021-06-01 Meruza Kubentayeva , Alexander Gasnikov

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…

最优化与控制 · 数学 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…

计算机科学与博弈论 · 计算机科学 2026-04-24 Song Gao , Hanyu Cheng , Chiwei Yan , Guocheng Jiang

The traffic assignment problem is one of the significant components of traffic flow analysis for which various solution approaches have been proposed. However, deploying these approaches for large-scale networks poses significant…

机器学习 · 计算机科学 2024-10-18 Tong Liu , Hadi Meidani

The Traffic Assignment Problem is a fundamental, yet computationally expensive, task in transportation modeling, especially for large-scale networks. Traditional methods require iterative simulations to reach equilibrium, making real-time…

To improve the routing decisions of individual drivers and the management policies designed by traffic operators, one needs reliable estimates of travel time distributions. Since congestion caused by both recurrent patterns (e.g., rush…

物理与社会 · 物理学 2022-10-13 Nikki Levering , Marko Boon , Michel Mandjes

We consider a network equilibrium model (i.e. a combined model), which was proposed as an alternative to the classic four-step approach for travel forecasting in transportation networks. This model can be formulated as a convex minimization…

In this paper, we consider a dynamic equilibrium transportation problem. There is a fixed number of cars moving from origin to destination areas. Preferences for arrival times are expressed as a cost of arriving before or after the…

最优化与控制 · 数学 2024-09-02 Victoria Guseva , Ilya Sklonin , Irina Podlipnova , Demyan Yarmoshik , Alexander Gasnikov

The traffic assignment problem is essential for traffic flow analysis, traditionally solved using mathematical programs under the Equilibrium principle. These methods become computationally prohibitive for large-scale networks due to…

机器学习 · 计算机科学 2026-04-28 Mostafa Ameli , Sulthana Shams , Van Anh Le , Alexander Skabardonis

In this paper we consider an integrated model for TCP/IP protocols with multipath routing. The model combines a Network Utility Maximization for rate control based on end-to-end queuing delays, with a Markovian Traffic Equilibrium for…

网络与互联网体系结构 · 计算机科学 2014-01-03 Roberto Cominetti , Cristobal Guzman

Solving traffic assignment problem for large networks is computationally challenging when conventional optimization-based methods are used. In our research, we develop an innovative surrogate model for a traffic assignment when multi-class…

机器学习 · 计算机科学 2025-01-17 Tong Liu , Hadi Meidani

With the high frequency of highway accidents,studying how to use connected automated vehicle (CAV) to improve traffic efficiency and safety will become an important issue. In order to investigate how CAV can use the connected information…

物理与社会 · 物理学 2023-08-07 Jiali Peng , Wei Shangguan , Linguo Chai , Rui Luo , Ke Gao

We propose new variational principles for traffic assignment problems. So to find equillibrium we have to solve large-scale convex optimization problem of special type. We propose some kind of "algebra" on different models and corresponding…

最优化与控制 · 数学 2017-02-28 Alexander Gasnikov

We study constrained nonconvex optimization problems in machine learning, signal processing, and stochastic control. It is well-known that these problems can be rewritten to a minimax problem in a Lagrangian form. However, due to the lack…

机器学习 · 计算机科学 2019-10-29 Zhehui Chen , Xingguo Li , Lin F. Yang , Jarvis Haupt , Tuo Zhao

The residual queue during a given study period (e.g., peak hour) is an important feature that should be considered when solving a traffic assignment problem under equilibrium for strategic traffic planning. Although studies have focused…

系统与控制 · 电气工程与系统科学 2025-01-14 Hao Fu , William H. K. Lam , Wei Ma , Yuxin Shi , Rui Jiang , Huijun Sun , Ziyou Gao

We present a novel data-driven approach of learning traffic flow patterns of a transportation network given that many instances of origin to destination (OD) travel demand and link flows of the network are available. Instead of estimating…

机器学习 · 计算机科学 2022-02-23 Rezaur Rahman , Samiul Hasan

Traffic forecasting is a classical task for traffic management and it plays an important role in intelligent transportation systems. However, since traffic data are mostly collected by traffic sensors or probe vehicles, sensor failures and…

机器学习 · 计算机科学 2019-12-12 Zhiyong Cui , Longfei Lin , Ziyuan Pu , Yinhai Wang

Modeling and simulating movement of vehicles in established transportation infrastructures, especially in large urban road networks is an important task. It helps with understanding and handling traffic problems, optimizing traffic…

系统与控制 · 电气工程与系统科学 2021-06-09 Renátó Besenczi , Norbert Bátfai , Péter Jeszenszky , Roland Major , Fanny Monori , Márton Ispány

We address the problem of identifying the dynamical law governing the evolution of a population of indistinguishable particles, when only aggregate distributions at successive times are observed. Assuming a Markovian evolution on a discrete…

最优化与控制 · 数学 2025-11-21 Michele Mascherpa , Axel Ringh , Amirhossein Taghvaei , Johan Karlsson
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