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This report outlines the concepts, mechanisms and inner dynamics of the BEAM (Behavior, Energy, Autonomy, and Mobility) modeling framework. BEAM is an open-source large-scale high-resolution transportation model that harnesses the…

Multiagent Systems · Computer Science 2023-08-07 Haitam Laarabi , Zachary Needell , Rashid Waraich , Cristian Poliziani , Tom Wenzel

A stochastic model for a mobile network is studied. Users enter the network, and then perform independent Markovian routes between nodes where they receive service according to the Processor-Sharing policy. Once their service requirement is…

Probability · Mathematics 2010-01-14 Florian Simatos , Danielle Tibi

In this paper we aim to demonstrate how physical perspective enriches usual statistical analysis when dealing with a complex system of many interacting agents of non-physical origin. To this end, we discuss analysis of urban public…

Physics and Society · Physics 2020-03-24 Yaryna Korduba , Yurij Holovatch , Robin de Regt

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…

Optimization and Control · Mathematics 2018-10-30 Florian Schanzenbacher , Nadir Farhi , Fabien Leurent , Gérard Gabriel

We present a computational analysis of a 2$\times$2 hyperbolic system of balance laws whose solutions exhibit complex nonlinear behavior. Traveling-wave solutions of the system are shown to undergo a series of bifurcations as a parameter in…

Fluid Dynamics · Physics 2018-11-13 Dmitry I. Kabanov , Aslan R. Kasimov

Advances in public transit modeling and smart card technologies can reveal detailed contact patterns of passengers. A natural way to represent such contact patterns is in the form of networks. In this paper we utilize known contact patterns…

Discrete Mathematics · Computer Science 2019-08-22 Laszlo Hajdu , Andras Bota , Miklos Kresz , Alireza Khani , Lauren M. Gardner

In this paper we present a mathematical model of the train dynamics in a linear metro line system with demand-dependent run and dwell times. On every segment of the line, we consider two main constraints. The first constraint is on the…

Optimization and Control · Mathematics 2018-10-30 Florian Schanzenbacher , Nadir Farhi , Fabien Leurent , Gérard Gabriel

We study hyperbolic systems of one-dimensional partial differential equations under general, possibly non-local boundary conditions. A large class of evolution equations, either on individual 1-dimensional intervals or on general networks,…

Analysis of PDEs · Mathematics 2021-01-19 Marjeta Kramar Fijavž , Delio Mugnolo , Serge Nicaise

The importance of spatial networks in the spread of an epidemic is an essential aspect in modeling the dynamics of an infectious disease. Additionally, any realistic data-driven model must take into account the large uncertainty in the…

Populations and Evolution · Quantitative Biology 2022-01-17 Giulia Bertaglia , Lorenzo Pareschi

Reliability plays a key role in the experience of a rail traveler. The reliability of journeys involving transfers is affected by the reliability of the transfers and the consequences of missing a transfer, as well as the possible delay of…

Applications · Statistics 2025-04-25 Nikolaus Stratil-Sauer , Nils Breyer

Modeling turbulent flows by a random Fourier decomposition is a classical procedure in order to use simplified models of turbulence in heat transport and other applications. We carefully investigate the Fourier time series of…

Mathematical Physics · Physics 2026-05-14 Paolo Cifani , Franco Flandoli , Andrea Zanoni

We study tram priority at signalized intersections using a stochastic cellular automaton model for multimodal traffic flow. We simulate realistic traffic signal systems, which include signal linking and adaptive cycle lengths and split…

Cellular Automata and Lattice Gases · Physics 2013-11-15 Lele Zhang , Timothy Garoni

In this paper, we propose a model for evaluating the transmission performance of multipath transport. Previous researches focused exclusively on single pair users in simple scenarios. The distinct perspective in this paper is to build…

Networking and Internet Architecture · Computer Science 2013-06-19 Chang Liu , Fei Song , Huan Yan , Sidong Zhang

The results of transportation infrastructure network analyses have been used to analyze complex networks in a topological context. However, most modeling approaches, including those based on complex network theory, do not fully account for…

Physics and Society · Physics 2016-04-20 Qi Xu , Baohua Mao , Yun Bai

We introduce a rigorous framework for stochastic cell transmission models for general traffic networks. The performance of traffic systems is evaluated based on preference functionals and acceptable designs. The numerical implementation…

Machine Learning · Computer Science 2023-04-25 Zachary Feinstein , Marcel Kleiber , Stefan Weber

The planning of attractive and cost efficient public transport systems is a highly complex optimization process involving many steps. Integrating robustness from a passenger's point of view makes the task even more challenging. With…

Machine Learning · Computer Science 2021-06-17 Matthias Müller-Hannemann , Ralf Rückert , Alexander Schiewe , Anita Schöbel

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…

Optimization and Control · Mathematics 2021-01-12 Víctor Blanco , Eduardo Conde , Yolanda Hinojosa , Justo Puerto

This paper reviews intermodal transportation systems and their role in decarbonizing freight networks from an operations research perspective, analyzing over a decade of studies (2010-2024). We present a chronological analysis of the…

Optimization and Control · Mathematics 2025-03-18 Madelaine Martinez Ferguson , Aliza Sharmin , Mustafa Can Camur , Xueping Li

Here we study the nonlinear hyperbolic equations of the type of equations from theory of flows on networks, for which we prove the solvability theorem under the appropriate conditions and also investigate the behaviour of the solution.

Mathematical Physics · Physics 2017-01-20 Kamal N. Soltanov

Deterministic equilibrium flows in transport networks can be investigated by means of Markov's processes defined on the dual graph representations of the network. Sustained movement patterns are generated by a subset of automorphisms of the…

Physics and Society · Physics 2007-10-30 D. Volchenkov , Ph. Blanchard