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In this paper we propose a LWR-like model for traffic flow on networks which allows one to track several groups of drivers, each of them being characterized only by their destination in the network. The path actually followed to reach the…

最优化与控制 · 数学 2016-06-17 Emiliano Cristiani , Fabio S. Priuli

A transport system with passengers traveling between stations in periodically arriving cabins is considered. We propose and evaluate an access control algorithm that dynamically limits the number of passengers who are allowed to board the…

系统与控制 · 计算机科学 2019-03-21 Pasquale Grippa , Evşen Yanmaz , Paul Ladinig , Christian Bettstetter

The concept of Wardrop equilibrium plays an important role in congested traffic problems since its introduction in the early 50's. As shown in [2], when we work in two-dimensional cartesian and increasingly dense networks, passing to the…

最优化与控制 · 数学 2015-07-01 Roméo Hatchi

Markovian network equilibrium generalizes the classical Wardrop equilibrium in network games. At a Markovian network equilibrium, each player of the game solves a Markov decision process instead of a shortest path problem. We propose two…

最优化与控制 · 数学 2021-10-19 Yue Yu , Dan Calderone , Sarah H. Q. Li , Lillian J. Ratliff , Behçet Açıkmeşe

A Wardrop equilibrium for multiple routes requires equal travel time on each path used. With real-time traffic data regarding travel times, it is important to analyze how to use the information provided. In particular, can a Wardrop…

物理与社会 · 物理学 2009-09-02 L. C. Davis

This paper develops a unified modeling framework to capture the equilibrium-state interactions among ride-hailing companies, travelers, and traffic of mixed-autonomy transportation networks. Our framework integrates four interrelated…

系统与控制 · 电气工程与系统科学 2025-12-12 Jiaxin Hou , Kexin Wang , Ruolin Li , Jong-shi Pang

A Mathematical Program with Equilibrium Constraints (MPEC) is formulated to capture the relationships between multiple Mobility Service Providers (MSPs) and the users of a multi-modal transport network. The network supply structure is…

计算机科学与博弈论 · 计算机科学 2023-05-24 Claudia Bandiera , Richard D. Connors , Francesco Viti

We consider massively dense ad hoc networks and study their continuum limits as the node density increases and as the graph providing the available routes becomes a continuous area with location and congestion dependent costs. We study both…

计算机科学与博弈论 · 计算机科学 2009-10-29 Alonso Silva , Eitan Altman , Pierre Bernhard , Merouane Debbah

This paper proposes a general framework for constructing feedback controllers that drive complex dynamical systems to "efficient" steady-state (or slowly varying) operating points. Efficiency is encoded using generalized equations which can…

When optimizing transportation systems, anticipating traffic flows is a central element. Yet, computing such traffic equilibria remains computationally expensive. Against this background, we introduce a novel combinatorial optimization…

机器学习 · 计算机科学 2024-10-10 Kai Jungel , Dario Paccagnan , Axel Parmentier , Maximilian Schiffer

In this research a continuous model for resource allocations in a queuing system is considered and a local prediction on the system behavior is developed. As a result we obtain a set of possible cases, some of which lead to quite clear…

最优化与控制 · 数学 2022-09-13 Tikhon Bogachev

In the era of connected and automated mobility, commuters will possess strong computation power, enabling them to strategically make sequential travel choices over a planning horizon. This paper investigates the multiday traffic patterns…

最优化与控制 · 数学 2024-08-15 Minghui Wu , Yafeng Yin , Jerome P. Lynch

In the paper we show that an important class of multistage traffic equillibrium models (including correspondence matrix calculation, traffic assignment problem etc) and their economic generalizations can be considered as proper population…

最优化与控制 · 数学 2016-04-19 Alexander Gasnikov

Authors describe a two-stage traffic assignment model. It contains of two blocks. The first block consists of model for calculating correspondence (demand) matrix, whereas the second block is a traffic assignment model. The first model…

最优化与控制 · 数学 2021-01-01 Ekaterina Kotliarova , Alexander Gasnikov , Evgenia Gasnikova , Demyan Yarmoshik

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…

We study the distribution of traffic in networks whose users try to minimise their delays by adhering to a simple learning scheme inspired by the replicator dynamics of evolutionary game theory. The stable steady states of these dynamics…

概率论 · 数学 2010-02-27 Panayotis Mertikopoulos , Aris L. Moustakas

How is efficiency affected when demand excesses over supply are signalled through waiting in queues? We consider a class of congestion games with a nonatomic set of players of a constant mass, based on a formulation of generic linear…

计算机科学与博弈论 · 计算机科学 2020-11-18 Costas Courcoubetis , Antonis Dimakis

Modelling passenger assignments in public transport networks is a fundamental task for city planners, especially when deliberating network infrastructure decisions. A key aspect of a realistic model is to integrate passengers' selfish…

计算机科学与博弈论 · 计算机科学 2025-10-02 Tobias Harks , Sven Jäger , Michael Markl , Philine Schiewe

We consider the problem of customer equilibrium strategies in an M/M/1 queue under dynamic service control. The service rate switches between a low and a high value depending on system congestion. Arriving customers do not observe the…

最优化与控制 · 数学 2011-12-07 Y. Dimitrakopoulos , A. Burnetas

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
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