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This paper presents a computationally efficient model for optimizing real-time decisions in humanitarian aid delivery systems. Our formulation models a hierarchical system and is a mixed integer, probabilistic, non-linear and non-concave…

Optimization and Control · Mathematics 2020-06-23 Roozbeh Yousefzadeh

Vaccinations against viruses have always been the need of the hour since long past. However, it is hard to efficiently distribute the vaccines (on time) to all the corners of a country, especially during a pandemic. Considering the vastness…

Machine Learning · Computer Science 2022-08-03 Jayeeta Mondal , Jeet Dutta , Hrishav Bakul Barua

The challenges posed by epidemics and pandemics are immense, especially if the causes are novel. This article introduces a versatile open-source simulation framework designed to model intricate dynamics of infectious diseases across diverse…

Multiagent Systems · Computer Science 2023-11-17 Zenin Easa Panthakkalakath , Neeraj , Jimson Mathew

Vaccination campaigns have saved thousands of lives, reaching the farthest places in the world. These campaigns have required substantial investments and accurate coordination between several actors within the vaccine supply chain. Despite…

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

In previous articles, we formalized the problem of optimal allocation strategies for a (perfect) vaccine in an infinite-dimensional metapopulation model. The aim of the current paper is to illustrate this theoretical framework with multiple…

Optimization and Control · Mathematics 2021-12-17 Jean-François Delmas , Dylan Dronnier , Pierre-André Zitt

Balancing social utility and equity in distributing limited vaccines represents a critical policy concern for protecting against the prolonged COVID-19 pandemic. What is the nature of the trade-off between maximizing collective welfare and…

Computers and Society · Computer Science 2021-11-15 Lin Chen , Fengli Xu , Zhenyu Han , Kun Tang , Pan Hui , James Evans , Yong Li

Covid-19 has caused hundred of thousands of deaths and an economic damage amounting to trillions of dollars, creating a desire for the rapid development of vaccine. Once available, vaccine is gradually produced, evoking the question on how…

Populations and Evolution · Quantitative Biology 2020-06-30 Jens Grauer , Hartmut Löwen , Benno Liebchen

We consider the problem of optimizing locations of distribution centers (DCs) and plans for distributing resources such as test kits and vaccines, under spatiotemporal uncertainties of disease spread and demand for the resources. We aim to…

Optimization and Control · Mathematics 2022-07-19 Beste Basciftci , Xian Yu , Siqian Shen

We study an optimal control problem where the objective is to find the best vaccine allocation during an epidemic outbreak. The epidemic dynamics is described by an age-structured SIR model with nonlocal interactions. Both the infection and…

Optimization and Control · Mathematics 2026-05-19 Luís Almeida , Romain Ducasse , Elisa Paparelli

In this paper, an optimal resource allocation framework is proposed for the allocation of critical medical resources among different units during a pandemic. The framework is developed by considering the dynamics of Pandemic, hierarchical…

Systems and Control · Electrical Eng. & Systems 2022-03-14 Shuvrangshu Jana , Rudrashis Majumder , Debasish Ghose

We evaluate the efficiency of various heuristic strategies for allocating vaccines against COVID-19 and compare them to strategies found using optimal control theory. Our approach is based on a mathematical model which tracks the spread of…

Populations and Evolution · Quantitative Biology 2022-05-04 Jeta Molla , Alejandro Ponce de León Chávez , Takayuki Hiraoka , Tapio Ala-Nissila , Mikko Kivelä , Lasse Leskelä

A COVID-19 vaccine is our best bet for mitigating the ongoing onslaught of the pandemic. However, vaccine is also expected to be a limited resource. An optimal allocation strategy, especially in countries with access inequities and temporal…

This study focuses on order dispatch decisions within two-echelon supply chains, where order dispatch creates economic shipments to reduce delivery costs. Dispatching orders is often constrained by delivery windows, leading to penalty costs…

Computational Engineering, Finance, and Science · Computer Science 2024-01-09 Khalid Y. Aram

We propose a mathematical framework, based on conic geometric programming, to control a susceptible-infected-susceptible viral spreading process taking place in a directed contact network with unknown contact rates. We assume that we have…

Optimization and Control · Mathematics 2014-12-09 Shuo Han , Victor M. Preciado , Cameron Nowzari , George J. Pappas

The COVID-19 pandemic has placed immense strain on hospital systems worldwide, leading to critical capacity challenges. This research proposes a two-part framework to optimize hospital capacity through patient relocation strategies. The…

Artificial Intelligence · Computer Science 2026-03-18 Sadaf Tabatabaee , Hicham El Baz , Mohammed Khalil Ghali , Nagendra N. Nagarur

How to strategically allocate the available vaccines is a crucial issue for pandemic control. In this work, we propose a mathematical framework for optimal stabilizing vaccine allocation, where our goal is to send the infections to zero as…

Optimization and Control · Mathematics 2021-09-13 Qianqian Ma , Yang-Yu Liu , Alex Olshevsky

Controlling and understanding epidemic outbreaks has recently drawn great interest in a large spectrum of research communities. Vaccination is one of the most well-established and effective strategies in order to contain an epidemic. In the…

Social and Information Networks · Computer Science 2023-05-29 Sourin Chatterjee , Ahad N. Zehmakan

In this study, we present an immuno-epidemic model to understand mitigation options during an epidemic break. The model incorporates comorbidity and multiple-vaccine doses through a system of coupled integro-differential equations to…

Populations and Evolution · Quantitative Biology 2025-05-28 Samiran Ghosh , Malay Banerjee , Amit K Chattopadhyay

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