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The nodes in communication networks are possibly and most likely equipped with different recovery resources, which allow them to recover from a virus with different rates. In this paper, we aim to understand know how to allocate the limited…

Physics and Society · Physics 2014-09-01 Bo Qu , Alan Hanjalic , Huijuan Wang

We study the problem of a policymaker who aims at taming the spread of an epidemic while minimizing its associated social costs. The main feature of our model lies in the fact that the disease's transmission rate is a diffusive stochastic…

Optimization and Control · Mathematics 2020-11-04 Salvatore Federico , Giorgio Ferrari

Information spreading in a population can be modeled as an epidemic. Campaigners (e.g. election campaign managers, companies marketing products or movies) are interested in spreading a message by a given deadline, using limited resources.…

Systems and Control · Computer Science 2014-01-28 Kundan Kandhway , Joy Kuri

We consider a model for an epidemic in a population that occupies geographically distinct locations. The disease is spread within subpopulations by contacts between infective and susceptible individuals, and is spread between subpopulations…

Probability · Mathematics 2016-02-15 R. McVinish , P. K. Pollett , A. Shausan

Epidemic spreading phenomena are ubiquitous in nature and society. Examples include the spreading of diseases, information, and computer viruses. Epidemics can spread by local spreading, where infected nodes can only infect a limited set of…

Physics and Society · Physics 2024-01-02 Changwang Zhang , Shi Zhou , Joel C. Miller , Ingemar J. Cox , Benjamin M. Chain

Random walk is one of the basic mechanisms found in many network applications. We study the epidemic spreading dynamics driven by biased random walks on complex networks. In our epidemic model, each time infected nodes constantly spread…

Physics and Society · Physics 2015-06-22 Cunlai Pu , Siyuan Li , Jian Yang

Inspired by studies on the airports' network and the physical Internet, we propose a general model of weighted networks via an optimization principle. The topology of the optimal network turns out to be a spanning tree that minimizes a…

Physics and Society · Physics 2009-11-11 Marc Barthelemy , Alessandro Flammini

We model the spread of information in a homogeneously mixed population using the Maki Thompson rumor model. We formulate an optimal control problem, from the perspective of single campaigner, to maximize the spread of information when the…

Systems and Control · Computer Science 2014-06-09 Kundan Kandhway , Joy Kuri

Competition and collaboration are at the heart of multi-agent probabilistic spreading processes. The battle on public opinion and competitive marketing campaigns are typical examples of the former, while the joint spread of multiple…

Physics and Society · Physics 2021-03-17 Hanlin Sun , David Saad , Andrey Y. Lokhov

Contagious diseases can spread quickly in human populations, either through airborne transmission or if some other spreading vectors are abundantly accessible. They can be particularly devastating if the impact on individuals' health has…

Physics and Society · Physics 2022-07-20 Bram A. Siebert , James P. Gleeson , M. Asllani

Vaccination has been proven to be the most effective method to prevent infectious diseases. However, in many low and middle-income countries with geographically dispersed and nomadic populations, last-mile vaccine delivery can be extremely…

Applications · Statistics 2021-04-30 Yuwen Yang , Jayant Rajgopal

Following [21, 23], the present work investigates a new relative entropy-regularized algorithm for solving the optimal transport on a graph problem within the randomized shortest paths formalism. More precisely, a unit flow is injected into…

Machine Learning · Computer Science 2021-09-21 Sylvain Courtain , Guillaume Guex , Ilkka Kivimaki , Marco Saerens

Nowadays the problem of traffic congestion is known as the main cause of air pollution in the cities of the world. Urban traffic engineers and managers have proposed three general approaches to dealing with this phenomenon. The first…

Signal Processing · Electrical Eng. & Systems 2018-10-08 M. Shahgholian , D. Gharavian

Epidemic containment is a major concern when confronting large-scale infections in complex networks. Many works have been devoted to analytically understand how to restructure the network to minimize the impact of major outbreaks of…

Physics and Society · Physics 2018-12-27 Joan T. Matamalas , Alex Arenas , Sergio Gómez

When effective medical treatment and vaccination are not available, non-pharmaceutical interventions such as social distancing, home quarantine and far-reaching shutdown of public life are the only available strategies to prevent the spread…

Populations and Evolution · Quantitative Biology 2020-08-19 Markus Kantner , Thomas Koprucki

With the objective of handling the airspace sector congestion subject to continuously growing air traffic, we suggest to create a collaborative working plan during the strategic phase of air traffic control. The plan obtained via a new…

Artificial Intelligence · Computer Science 2013-09-17 Gaétan Marceau , Pierre Savéant , Marc Schoenauer

This paper proposes a distributed model predictive control (DMPC) approach for an urban traffic network (UTN) system. The control objective is to minimize the traffic congestion and the total travel time spent (TTS) in each link. The…

Systems and Control · Computer Science 2019-05-27 Roja Eini , Sherif Abdelwahed

We show how optimization methods from economics known as portfolio strategies can be used for minimizing download times in the Internet and travel times in freeway traffic. While for Internet traffic, there is an optimal restart frequency…

Statistical Mechanics · Physics 2007-05-23 Dirk Helbing , Bernardo A. Huberman , Sebastian M. Maurer

We introduce a general system of ordinary differential equations that includes some classical and recent models for the epidemic spread in a closed population without vital dynamic in a finite time horizon. The model is vectorial, in the…

Optimization and Control · Mathematics 2023-06-21 Lorenzo Freddi

The network topology and the routing strategy are major factors to affect the traffic dynamics of the network. In this work, we aim to design an optimal time-varying network structure and an efficient route is allocated to each user in the…

Networking and Internet Architecture · Computer Science 2019-09-18 Suchi Kumari , Anurag Singh