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Cleaning pollution from a heterogeneous flow environment is far from simple. We consider the flow capture problem, which has flows and sinks in a heterogeneous environment, and investigate the problem of positioning pollutant capture units.…

Physics and Society · Physics 2018-10-03 Lachlan D. Smith , Guy Metcalfe , Julio M. Ottino

This paper attempts to design an intelligent simulation model for pedestrian crowd evacuation. For this purpose, the cellular automata(CA) was fully integrated with fuzzy logic, the kth nearest neighbors (KNN), and some statistical…

Multiagent Systems · Computer Science 2019-12-05 Danial A. Muhammed , Soran A. M. Saeed , Tarik A. Rashid

This document presents an Integer Linear Programming (ILP) approach to optimize pedestrian evacuation in flood-prone historic urban areas. The model aims to minimize total evacuation cost by integrating pedestrian speed, route length, and…

Physics and Society · Physics 2025-04-18 Fabrizio Marinelli , Andrea Pizzuti , Guido Romano , Gabriele Bernardini , Enrico Quagliarini

We studied the room evacuation problem within the context of the Social Force Model. We focused on a system of 225 pedestrians escaping from a room in different anxiety levels, and analyzed the clogging delays as the relevant magnitude…

Physics and Society · Physics 2020-07-15 F. E. Cornes , G. A. Frank , C. O. Dorso

Motivated by the applications of routing in PCB buses, the Rectangle Escape Problem was recently introduced and studied. In this problem, we are given a set of rectangles $\mathcal{S}$ in a rectangular region $R$, and we would like to…

Computational Geometry · Computer Science 2016-03-16 Aniket Basu Roy , Anil Maheshwari , Sathish Govindarajan , Neeldhara Misra , Subhas C Nandy , Shreyas Shetty

Distributed evacuation of mobile robots is a recent development. We consider the evacuation problem of two robots which are initially located at the center of a unit disk. Both the robots have to evacuate the disk through the exits situated…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-08-15 Debasish Pattanayak , H. Ramesh , Partha Sarathi Mandal , Stefan Schmid

This paper studies the scheduling of jobs of different families on parallel machines with qualification constraints. Originating from semiconductor manufacturing, this constraint imposes a time threshold between the execution of two jobs of…

Artificial Intelligence · Computer Science 2020-11-23 Margaux Nattaf , Arnaud Malapert

Evacuation in emergency situations can be modeled by a dynamic flow network. Two criteria have been used before: one is the evacuation completion time and the other is the aggregate evacuation time of individual evacuees. The aim of this…

Data Structures and Algorithms · Computer Science 2018-06-05 Binay Bhattacharya , Yuya Higashikawa , Tsunehiko Kameda , Naoki Katoh

We describe an algorithm for computing the separating common tangents of two simple polygons using linear time and only constant workspace. A tangent of a polygon is a line touching the polygon such that all of the polygon lies to the same…

Computational Geometry · Computer Science 2015-11-13 Mikkel Abrahamsen

Efficient computation of trajectories of switched affine systems becomes possible, if for any such hybrid system, we can manage to efficiently compute the sequence of switching times. Once the switching times have been computed, we can…

Optimization and Control · Mathematics 2021-05-03 Guillaume O. Berger , Maben Rabi

To investigate the evacuation behaviors of pedestrians considering action of the guard and develop an effective evacuation strategy in the artificial attack, an extended floor field model was proposed. In this model, the assault on…

Cellular Automata and Lattice Gases · Physics 2019-02-20 Chang-kun Chen , Yun-he Tong

Emergency situations that require the evacuation of urban areas can arise from man-made causes (e.g., terrorist attacks or industrial accidents) or natural disasters, the latter becoming more frequent due to climate change. As a result,…

Artificial Intelligence · Computer Science 2026-02-17 Attila Lischka , Balázs Kulcsár

Polynomial convergence bounds are considered for left, right, and split preconditioned GMRES. They include the cases of Weighted and Deflated GMRES for a linear system Ax = b. In particular, the case of positive definite A is considered.…

Numerical Analysis · Mathematics 2025-10-03 Nicole Spillane , Daniel B Szyld

An emerging class of trajectory optimization methods enforces collision avoidance by jointly optimizing the robot's configuration and a separating hyperplane. However, as linear separators only apply to convex sets, these methods require…

Robotics · Computer Science 2026-01-15 Shuoye Li , Zhiyuan Song , Yulin Li , Zhihai Bi , Jun Ma

We study the complexity of cutting planes and branching schemes from a theoretical point of view. We give some rigorous underpinnings to the empirically observed phenomenon that combining cutting planes and branching into a branch-and-cut…

Optimization and Control · Mathematics 2021-05-20 Amitabh Basu , Michele Conforti , Marco Di Summa , Hongyi Jiang

We consider scheduling problems for unit jobs with release times, where the number or size of the gaps in the schedule is taken into consideration, either in the objective function or as a constraint. Except for a few papers on energy…

Data Structures and Algorithms · Computer Science 2020-07-21 Marek Chrobak , Mordecai Golin , Tak-Wah Lam , Dorian Nogneng

Emergency navigation algorithms direct evacuees to exits when disastrous events such as fire take place. Due to the spread of hazards, latency in information updating and unstable flows of civilians, emergency evacuation is absolutely a…

Other Computer Science · Computer Science 2013-10-11 Huibo Bi

Effective evacuation policies in emergency situations are important to save lives. To develop such policies, simulation models based on cellular automata have been used for crowd evacuation dynamics. In most previous studies of crowd…

Multiagent Systems · Computer Science 2020-04-21 Daiki Miyagawa , Genki Ichinose

We consider evacuation of a group of $n \geq 2$ autonomous mobile agents (or robots) from an unknown exit on an infinite line. The agents are initially placed at the origin of the line and can move with any speed up to the maximum speed $1$…

Data Structures and Algorithms · Computer Science 2021-09-28 Jurek Czyzowicz , Ryan Killick , Evangelos Kranakis , Danny Krizanc , Lata Narayanan , Jaroslav Opatrny , Denis Pankratov , Sunil Shende

High-speed trajectory planning through unknown environments requires algorithmic techniques that enable fast reaction times while maintaining safety as new information about the operating environment is obtained. The requirement of…

Robotics · Computer Science 2020-05-15 Jesus Tordesillas , Brett T. Lopez , Jonathan P. How