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This paper presents a mathematical model for the train dynamics in a mass-transit metro line system with one symmetrically operated junction. We distinguish three parts: a central part and two branches. The tracks are spatially discretized…

最优化与控制 · 数学 2018-10-30 Florian Schanzenbächer , Nadir Farhi , Zoi Christoforou , Fabien Leurent , Gérard Gabriel

We present in this article traffic flow and control models for the train dynamics in metro lines. The first model, written in the max-plus algebra, takes into account minimum running, dwell and safety time constraints, without any control…

最优化与控制 · 数学 2018-01-09 Nadir Farhi , Cyril Nguyen Van Phu , Habib Haj-Salem , Jean-Patrick Lebacque

This paper is an extended abstract on a traffic model for the train dynamics on a metro line with a junction. The dynamic model includes control laws on the dwell and on the run time, taking into account the passenger travel demand. Our…

最优化与控制 · 数学 2018-11-21 Florian Schanzenbacher , Nadir Farhi , Fabien Leurent , Gérard Gabriel

This thesis proposes mathematical traffic models and control laws for metro lines with one junction. The models are based on the ones developed for linear metro lines (without junction) in [12, 14]. The train dynamics are described with a…

最优化与控制 · 数学 2020-10-27 Florian Schanzenbächer

We present here a real-time control model for the train dynamics in a linear metro line system. The model describes the train dynamics taking into account average passenger arrival rates on platforms, including control laws for train dwell…

最优化与控制 · 数学 2018-10-30 Florian Schanzenbacher , Nadir Farhi , Fabien Leurent , Gérard Gabriel

This thesis is entitled Dynamic programming systems for modeling and control of the traffic in transportation networks. Two parts are distinguished in this dissertation: 1) methods and approaches based on min-plus or max-plus algebra, where…

最优化与控制 · 数学 2019-11-05 Nadir Farhi

Urban rail transit often operates with high service frequencies to serve heavy passenger demand during rush hours. Such operations can be delayed by two types of congestion: train congestion and passenger congestion, both of which interact…

系统与控制 · 计算机科学 2025-09-16 Toru Seo , Kentaro Wada , Daisuke Fukuda

The intelligent upgrading of metropolitan rail transit systems has made it feasible to implement demand-side management policies that integrate multiple operational strategies in practical operations. However, the tight interdependence…

最优化与控制 · 数学 2025-11-10 Lixing Yang , Yahan Lu , Jiateng Yin , Shadi Sharif Azadeh

Train scheduling is one of the significant issues in the railway industry in recent years since it has an important role in efficacy of railway infrastructure. In this paper, the timetabling problem of a multiple tracked railway network is…

最优化与控制 · 数学 2016-12-13 Afshin Oroojlooy Jadid , Kourosh Eshghi

In this article, we consider transport networks with uncertain demands. Network dynamics are given by linear hyperbolic partial differential equations and suitable coupling conditions, while demands are incorporated as solutions to…

最优化与控制 · 数学 2022-08-16 Simone Göttlich , Thomas Schillinger

We study dynamical transportation networks in a framework that includes extensions of the classical Cell Transmission Model to arbitrary network topologies. The dynamics are modeled as systems of ordinary differential equations describing…

最优化与控制 · 数学 2014-10-28 Enrico Lovisari , Giacomo Como , Anders Rantzer , Ketan Savla

In this paper we present a Mixed Integer Nonlinear Programming model that we developed as part of a pilot study requested by the R&D company Metrolab in order to design tools for finding solutions for line planning and timetable situations…

最优化与控制 · 数学 2021-01-12 Víctor Blanco , Eduardo Conde , Yolanda Hinojosa , Justo Puerto

This study introduces a novel methodology for managing train network disruptions across the entire rail network, leveraging digital tools and methodologies. The approach involves two stages, taking into account possible and practical…

最优化与控制 · 数学 2024-12-30 Shayan Bafandkar , Yousef Shafahi , Alireza Eslami , Alireza Yazdiani

To help mitigate road congestion caused by the unrelenting growth of traffic demand, many transportation authorities have implemented managed lane policies, which restrict certain freeway lanes to certain types of vehicles. It was…

系统与控制 · 计算机科学 2018-11-16 Matthew A. Wright , Roberto Horowitz , Alex A. Kurzhanskiy

In the realm of urban transportation, metro systems serve as crucial and sustainable means of public transit. However, their substantial energy consumption poses a challenge to the goal of sustainability. Disturbances such as delays and…

人工智能 · 计算机科学 2023-05-18 Haiqin Xie , Cheng Wang , Shicheng Li , Yue Zhang , Shanshan Wang

This report presents a novel approach to calculate volumes of trains from a set of requirements describing the transportation demands. The model presented is based on a multi commodity network flow model. The model comprises three different…

最优化与控制 · 数学 2021-12-20 Martin Aronsson , Tomas Lidén

Disruptions are an inherent feature of transportation systems, occurring unpredictably and with varying durations. Even after an incident is reported as resolved, disruptions can induce irregular train operations that generate substantial…

Various forms of disruption in transport systems perturb urban mobility in different ways. Passengers respond heterogeneously to such disruptive events based on numerous factors. This study takes a data-driven approach to explore…

应用统计 · 统计学 2023-07-04 Ali Shateri Benam , Angelo Furno , Nour-Eddin El Faouzi

Railway scheduling and timetabling are common stages in the classical hierarchical railway planning process and they perhaps represent the step with major influence on user's perception about quality of service. This aspect, in conjunction…

最优化与控制 · 数学 2017-01-24 David Canca , Eva Barrena , Encarnación Algaba , Alejandro Zarzo

A key measure of performance and comfort in a road traffic network is the travel time that the users of the network experience to complete their journeys. Travel times on road traffic networks are stochastic, highly variable, and dependent…

动力系统 · 数学 2014-08-18 Nadir Farhi , Habib Haj-Salem , Jean-Patrick Lebacque
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