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We consider the optimal allocation of generic resources among multiple generic entities of interest over a finite planning horizon, where each entity generates stochastic returns as a function of its resource allocation during each period.…

Optimization and Control · Mathematics 2017-02-28 Yingdong Lu , Siva Theja Maguluri , Mark S. Squillante , Chai Wah Wu

In many public health settings, there is a perceived tension between allocating resources to known vulnerable areas and learning about the overall prevalence of the problem. Inspired by a door-to-door Covid-19 testing program we helped…

Machine Learning · Computer Science 2021-10-27 Ben Chugg , Daniel E. Ho

Human behaviour strongly influences the spread of infectious diseases: understanding the interplay between epidemic dynamics and adaptive behaviours is essential to improve response strategies to epidemics, with the goal of containing the…

Physics and Society · Physics 2024-08-21 Marco Mancastroppa , Alessandro Vezzani , Vittoria Colizza , Raffaella Burioni

The COVID-19 pandemic has posed a policy making crisis where efforts to slow down or end the pandemic conflict with economic priorities. This paper provides mathematical analysis of optimal disease control policies with idealized…

Optimization and Control · Mathematics 2021-02-16 Aaron Z. Palmer , Zelda B. Zabinsky , Shan Liu

We study the optimal control problem of maximizing the spread of an information epidemic on a social network. Information propagation is modeled as a Susceptible-Infected (SI) process and the campaign budget is fixed. Direct recruitment and…

Social and Information Networks · Computer Science 2016-02-16 Kundan Kandhway , Joy Kuri

Mitigation measures are essential for controlling the spread of infectious diseases during pandemics and epidemics, but they impose considerable societal, individual, and economic costs. We developed a general optimization framework to…

Populations and Evolution · Quantitative Biology 2025-12-15 Laura Müller , Fabio Sartori , Jonas Dehning , Maximilian F. Eggl , Viola Priesemann

Optimal curing strategy of suppressing competing epidemics spreading over complex networks is a critical issue. In this paper, we first establish a framework to capture the coupling between two epidemics, and then analyze the system's…

Systems and Control · Electrical Eng. & Systems 2021-04-22 Juntao Chen , Yunhan Huang , Rui Zhang , Quanyan Zhu

This paper studies the SI1SI2S spreading model of two competing behaviors over a bilayer network. We address the problem of determining resource allocation strategies which design a spreading network so as to ensure the extinction of a…

Optimization and Control · Mathematics 2015-12-17 Nicholas J. Watkins , Cameron Nowzari , Victor M. Preciado , George J. Pappas

The quality of service in healthcare is constantly challenged by outlier events such as pandemics (i.e. Covid-19) and natural disasters (such as hurricanes and earthquakes). In most cases, such events lead to critical uncertainties in…

Artificial Intelligence · Computer Science 2021-11-16 Chih-Hao Huang , Feras A. Batarseh , Adel Boueiz , Ajay Kulkarni , Po-Hsuan Su , Jahan Aman

We consider the problem of controlling the propagation of an epidemic outbreak in an arbitrary contact network by distributing vaccination resources throughout the network. We analyze a networked version of the…

Social and Information Networks · Computer Science 2013-03-19 Victor M. Preciado , Michael Zargham , Chinwendu Enyioha , Ali Jadbabaie , George Pappas

Scarcity of health care resources could result in the unavoidable consequence of rationing. For example, ventilators are often limited in supply, especially during public health emergencies or in resource-constrained health care settings,…

Machine Learning · Computer Science 2024-08-23 Yikuan Li , Chengsheng Mao , Kaixuan Huang , Hanyin Wang , Zheng Yu , Mengdi Wang , Yuan Luo

Allocation of scarce resources is a recurring challenge for the public sector: something that emerges in areas as diverse as healthcare, disaster recovery, and social welfare. The complexity of these policy domains and the need for meeting…

Computers and Society · Computer Science 2023-10-11 Saba Esnaashari , Jonathan Bright , John Francis , Youmna Hashem , Vincent Straub , Deborah Morgan

Understanding how to effectively control an epidemic spreading on a network is a problem of paramount importance for the scientific community. The ongoing COVID-19 pandemic has highlighted the need for policies that mitigate the spread,…

Populations and Evolution · Quantitative Biology 2021-09-14 Carlo Cenedese , Lorenzo Zino , Michele Cucuzzella , Ming Cao

The optimal allocation of resources is a crucial task for their efficient use in a wide range of practical applications in science and engineering. This paper investigates the optimal allocation of resources in multipartite quantum systems.…

Quantum Physics · Physics 2021-03-10 Roberto Salazar , Tanmoy Biswas , Jakub Czartowski , Karol Życzkowski , Paweł Horodecki

Combating an epidemic entails finding a plan that describes when and how to apply different interventions, such as mask-wearing mandates, vaccinations, school or workplace closures. An optimal plan will curb an epidemic with minimal loss of…

Machine Learning · Computer Science 2023-06-08 Anh Mai , Nikunj Gupta , Azza Abouzied , Dennis Shasha

Epidemics of infectious diseases are among the largest threats to the quality of life and the economic and social well-being of developing countries. The arsenal of measures against such epidemics is well-established, but costly and…

Social and Information Networks · Computer Science 2013-07-09 Mohamed Kafsi , Ehsan Kazemi , Lucas Maystre , Lyudmila Yartseva , Matthias Grossglauser , Patrick Thiran

Despite extensive work on the interplay between traffic dynamics and epidemic spreading, the control of epidemic spreading by routing strategies has not received adequate attention. In this paper, we study the impact of efficient routing…

Physics and Society · Physics 2016-11-23 Han-Xin Yang , Zhi-Xi Wu

We analyze an optimal control version of a simple SIRS epidemiology model. The policy maker can adopt policies to diminish the contact rate between infected and susceptible individuals, at a specific economic cost. The arrival of a vaccine…

Populations and Evolution · Quantitative Biology 2020-06-09 Evangelos Magirou

This work introduces a novel epidemiological model that simultaneously considers multiple viral strains, reinfections due to waning immunity response over time and an optimal control formulation. This enables us to derive optimal mitigation…

Systems and Control · Electrical Eng. & Systems 2021-09-10 Edilson F. Arruda , Dayse H. Pastore , Clauda M. Dias , Shyam S. Das

There is an extensive literature that studies how to find optimal policies in resource allocation problems, taking the underlying design parameters that define the allocation, such as what data is collected, how many people can be served,…

Computers and Society · Computer Science 2026-05-11 Unai Fischer-Abaigar , Emily Aiken , Christoph Kern , Juan Carlos Perdomo