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As an example for the optimization of unstable flows, we present an economics-based method for deciding the optimal rates at which vehicles are allowed to enter a highway. It exploits the naturally occuring fluctuations of traffic flow and…

Statistical Mechanics · Physics 2009-10-31 Bernardo A. Huberman , Dirk Helbing

We investigate the problem of creating fast evacuation plans for buildings that are modeled as grid polygons, possibly containing exponentially many cells. We study this problem in two contexts: the ``confluent'' context in which the routes…

Data Structures and Algorithms · Computer Science 2015-05-19 Sandor P. Fekete , Chris Gray , Alexander Kroeller

A field deterministic model of the vehicular dynamics in a generic urban street canyon with two neighboring canyons is considered. The assumed hydrodynamical model of vehicular movement is coupled to the gasdynamical model of the air and…

Disordered Systems and Neural Networks · Physics 2007-05-23 Maciej M. Duras

An accurate energy efficiency analytical model based on a two-mode circuitry was recently proposed; and the model showed that the use of this circuitry can significantly improve a system's energy efficiency. In this paper, we use this…

Signal Processing · Electrical Eng. & Systems 2018-02-28 Jinkun Xu , Yu Chen , Hao Chen , Qimei Cui , Xiaofeng Tao

This paper focuses on the escape problem of a harmonically-forced classical particle from a purely-quartic truncated potential well. The latter corresponds to various engineering systems that involve purely cubic restoring force and absence…

Chaotic Dynamics · Physics 2021-05-20 Maor Farid

The problem of finding the optimal placement of emergency exits in an indoor environment to facilitate the rapid and orderly evacuation of crowds is addressed in this work. A cellular-automaton model is used to simulate the behavior of…

Neural and Evolutionary Computing · Computer Science 2024-05-29 Carlos Cotta , José E. Gallardo

We study discrete-time finite-horizon optimal control problems in probability spaces, whereby the state of the system is a probability measure. We show that, in many instances, the solution of dynamic programming in probability spaces…

Optimization and Control · Mathematics 2024-04-09 Antonio Terpin , Nicolas Lanzetti , Florian Dörfler

We are concerned with the simulation and optimization of large-scale gas pipeline systems in an error-controlled environment. The gas flow dynamics is locally approximated by sufficiently accurate physical models taken from a hierarchy of…

Optimization and Control · Mathematics 2021-11-10 Pia Domschke , Oliver Kolb , Jens Lang

The classical setting of optimal control theory assumes full knowledge of the process dynamics and the costs associated with every control strategy. The problem becomes much harder if the controller only knows a finite set of possible…

Optimization and Control · Mathematics 2019-08-27 Marc Aurèle Gilles , Alexander Vladimirsky

Chance-constrained optimization has emerged as a promising framework for managing uncertainties in power systems. This work advances its application to the DC Optimal Power Flow (DC-OPF) model, developing a novel approach to uncertainty…

Systems and Control · Electrical Eng. & Systems 2026-03-18 Tianyang Yi , D. Adrian Maldonado , Anirudh Subramanyam

Panic may spread over a crowd in a similar fashion as contagious diseases do in social groups. People no exposed to a panic source may express fear, alerting others of imminent danger. This social mechanism initiates an evacuation process,…

Physics and Society · Physics 2018-05-18 F. E. Cornes , G. A. Frank , C. O. Dorso

We propose a 1D unsteady model for supersonic single-phase ejectors. The model treats an ejector as a pipe network with two inputs and one output and combines a 1D gas dynamics formulation in each `pipe' with a junction model for…

Fluid Dynamics · Physics 2024-01-17 Jan Van den Berghe , Bruno R. B. Dias , Yann Bartosiewicz , Miguel A. Mendez

We study a one-dimensional totally asymmetric exclusion process with random particle attachments and detachments in the bulk. The resulting dynamics leads to unexpected stationary regimes for large but finite systems. Such regimes are…

Statistical Mechanics · Physics 2007-05-23 A. Parmeggiani , T. Franosch , E. Frey

A two-dimensional simulation of a plane jet exhausting from a channel has been performed using the vortex in cell algorithm in the Reynolds number range of 100 to 900. The vorticity is generated on the wall of the entrance channel whose…

Classical Physics · Physics 2016-08-14 Mohamed Ali Knani , Henri-Claude Boisson , André Giovannini , Taieb Lili

A heat exchanger can be modeled as a closed domain containing an incompressible fluid. The moving fluid has a temperature distribution obeying the advection-diffusion equation, with zero temperature boundary conditions at the walls.…

Fluid Dynamics · Physics 2018-02-23 Florence Marcotte , Charles R. Doering , Jean-Luc Thiffeault , William R. Young

We study the influence of selfish vs. polite behaviours on the dynamics of a pedestrian evacuation through a narrow exit. To this end, experiments involving about 80 participants with distinct prescribed behaviours are performed;…

Physics and Society · Physics 2016-10-24 Alexandre Nicolas , Sebastián Bouzat , Marcelo Kuperman

Transport through nano-channels plays an important role in many biological processes and industrial applications. Gaining insights into the functioning of biological transport processes and the design of man-made nano-devices requires an…

Statistical Mechanics · Physics 2015-05-19 Anton Zilman , Golan Bel

We study an open system composed of two parallel totally asymmetric simple exclusion processes with particle attachment and detachment in the bulk. The particles are allowed to change their lane from lane-A to lane-B, but not conversely. We…

Statistical Mechanics · Physics 2015-06-17 Arvind Kumar Gupta , Isha Dhiman

We investigate dynamical properties of traffic flow using the stochastic car-following model with modified optimal velocity on circular road. The safety distance following the two-second rule and autonomous vehicles, acting as agents,…

Adaptation and Self-Organizing Systems · Physics 2020-03-18 Manit Klawtanong , Surachate Limkumnerd

This paper presents a simulation for traffic evacuation during railway disruptions to enhance urban resilience. The research focuses on large-scale railway networks and provides flexible simulation settings to accommodate multiple node or…

Systems and Control · Electrical Eng. & Systems 2025-07-29 Hangli Ge , Xiaojie Yang , Zipei Fan , Francesco Flammini , Noboru Koshizuka