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In this article we use real traffic data to confirm that vehicle velocities follow Gaussian distribution in steady state traffic regimes (free-flow, and congestion). We also show that in the transition between free-flow and congestion, the…

网络与互联网体系结构 · 计算机科学 2016-05-20 Sherif M. Abuelenin , Adel Y. Abul-Magd

Max-algebra models of tandem single-server queueing systems with both finite and infinite buffers are developed. The dynamics of each system is described by a linear vector state equation similar to those in the conventional linear systems…

数值分析 · 数学 2012-11-27 N. K. Krivulin

We study the phenomenon of real space condensation in the steady state of a class of one dimensional mass transport models. We derive the criterion for the occurrence of a condensation transition and analyse the precise nature of the shape…

统计力学 · 物理学 2009-11-11 Satya N. Majumdar , M. R. Evans , R. K. P. Zia

We introduce a framework and develop a theory of transitory queueing models. These are models that are not only non-stationary and time-varying but also have other features such as the queueing system operates over finite time, or only a…

概率论 · 数学 2014-12-09 Harsha Honnappa , Rahul Jain , Amy R. Ward

We consider traffic flow models at different scales of observation. Starting from the well known hierarchy between microscopic, kinetic and macroscopic scales, we will investigate the propagation of uncertainties through the models using…

数值分析 · 数学 2022-10-13 Elisa Iacomini

We present a novel approach to understand vehicular traffic jams by studying a simple model, Elementary Cellular Automaton Rule 184 (ECA 184). Using key traffic observables, such as the total delay and relaxation time, as well as…

统计力学 · 物理学 2025-11-11 Aryaman Jha , Kurt Wiesenfeld , Garyoung Lee , Jorge Laval

Public transportation systems often suffer from unexpected fluctuations in demand and disruptions, such as mechanical failures and medical emergencies. These fluctuations and disruptions lead to delays and overcrowding, which are…

人工智能 · 计算机科学 2024-03-08 Chaeeun Han , Jose Paolo Talusan , Dan Freudberg , Ayan Mukhopadhyay , Abhishek Dubey , Aron Laszka

The Massachusetts Bay Transportation Authority (MBTA) is the main public transit provider in Boston, operating multiple means of transport, including trains, subways, and buses. However, the system often faces delays and fluctuations in…

机器学习 · 计算机科学 2025-12-03 Sai Siddharth Nalamalpu , Kaining Yuan , Aiden Zhou , Eugene Pinsky

Probability distributions of human displacements has been fit with exponentially truncated L\'evy flights or fat tailed Pareto inverse power law probability distributions. Thus, people usually stay within a given location (for example, the…

物理与社会 · 物理学 2012-06-27 Nicola Scafetta

We introduce a new model to study the oscillations of opposite flows sharing a common bottleneck and moving on two Totally Asymmetric Simple Exclusion Process (TASEP) lanes. We provide a theoretical analysis of the phase diagram, valid when…

统计力学 · 物理学 2012-06-15 Asja Jelić , Cécile Appert-Rolland , Ludger Santen

This paper leverages macroscopic models and multi-source spatiotemporal data collected from automatic traffic counters and probe vehicles to accurately estimate traffic flow and travel time in links where these measurements are unavailable.…

机器学习 · 计算机科学 2024-01-31 Pablo Guarda , Sean Qian

As an emerging travel mode, the modular vehicle system (MVS) is receiving increasing attention. In particular, the operators could connect multiple modular vehicles as an assembled bus in response to the temporary demand varies. Therefore,…

最优化与控制 · 数学 2023-05-15 Jianbiao Wang , Tomio Miwa , Takayuki Morikawa

Providing efficient human mobility services and infrastructure is one of the major concerns of most mid-sized to large cities around the world. A proper understanding of the dynamics of commuting flows is, therefore, a requisite to better…

机器学习 · 计算机科学 2021-10-27 Ana Alice Peregrino , Soham Pradhan , Zhicheng Liu , Nivan Ferreira , Fabio Miranda

In this paper, we consider queueing systems where the dynamics are non-stationary and state-dependent. For performance analysis of these systems, fluid and diffusion models have been typically used. Although they are proven to be…

概率论 · 数学 2016-09-08 Young Myoung Ko , Natarajan Gautam

In this paper, nonlinear model reduction for power systems is performed by the balancing of empirical controllability and observability covariances that are calculated around the operating region. Unlike existing model reduction methods,…

系统与控制 · 计算机科学 2016-08-30 Junjian Qi , Jianhui Wang , Hui Liu , Aleksandar D. Dimitrovski

This study aims to propose an approach for spatiotemporal integration of bus transit, which enables users to change bus lines by paying a single fare. This could increase bus transit efficiency and, consequently, help to make this mode of…

社会与信息网络 · 计算机科学 2024-02-29 Júlio Borges , Altieris M. Peixoto , Thiago H. Silva , Anelise Munaretto , Ricardo Luders

A new public conveyance model applicable to buses and trains is proposed in this paper by using stochastic cellular automaton. We have found the optimal density of vehicles, at which the average velocity becomes maximum, significantly…

物理与社会 · 物理学 2007-09-19 A. Tomoeda , K. Nishinari , D. Chowdhury , A. Schadschneider

These lectures provide an informal introduction into the notions and tools used to analyze statistical properties of eigenvalues of large random Hermitian matrices. After developing the general machinery of orthogonal polynomial method, we…

数学物理 · 物理学 2014-11-18 Yan V. Fyodorov

We introduce a new approach to model and analyze \emph{Mobility}. It is fully based on discrete mathematics and yields a class of mobility models, called the \emph{Markov Trace} Model. This model can be seen as the discrete version of the…

离散数学 · 计算机科学 2010-02-05 Andrea Clementi , Angelo Monti , Riccardo Silvestri

Automotive services for connected vehicles are one of the main fields of application for new-generation mobile networks as well as for the edge computing paradigm. In this paper, we investigate a system architecture that integrates the…

网络与互联网体系结构 · 计算机科学 2020-08-24 Francesco Malandrino , Carla Fabiana Chiasserini , Gian Michele Dell'Aera