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We introduce a numerical method to solve epidemic models on the underlying topology of complex networks. The approach exploits the mean-field like rate equations describing the system and allows to work with very large system sizes, where…

Statistical Mechanics · Physics 2009-11-10 Yamir Moreno , Javier B. Gomez , Amalio F. Pacheco

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

Scheduling echocardiographic exams in a hospital presents significant challenges due to non-deterministic factors (e.g., patient no-shows, patient arrival times, diverse exam durations, etc.) and asymmetric resource constraints between…

Machine Learning · Computer Science 2025-06-10 Bozhi Sun , Seda Tierney , Jeffrey A. Feinstein , Frederick Damen , Alison L. Marsden , Daniele E. Schiavazzi

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

For hospitals, realistic forecasting of bed demand during impending epidemics of infectious diseases is essential to avoid being overwhelmed by a potential sudden increase in the number of admitted patients. Short-term forecasting can aid…

Quantitative Methods · Quantitative Biology 2023-01-24 Angelo D'Ambrosio , Raisa Kociurzynski , Alexis Papathanassopoulos , Fabian Bürkin , Hajo Grundmann , Tjibbe Donker

The problem of dispatching emergency responders to service traffic accidents, fire, distress calls and crimes plagues urban areas across the globe. While such problems have been extensively looked at, most approaches are offline. Such…

Artificial Intelligence · Computer Science 2019-02-25 Ayan Mukhopadhyay , Geoffrey Pettet , Chinmaya Samal , Abhishek Dubey , Yevgeniy Vorobeychik

Clinician scheduling remains a persistent challenge due to limited clinical resources and fluctuating demands. This complexity is especially acute in large academic anesthesiology departments as physicians balance responsibilities across…

Optimization and Control · Mathematics 2025-10-03 Anjali Jha , Wanqing Chen , Maxim Eckmann , Ian Stockwell , Jianwu Wang , Kai Sun

Existing compartmental models in epidemiology are limited in terms of optimizing the resource allocation to control an epidemic outbreak under disease growth uncertainty. In this study, we address this core limitation by presenting a…

Applications · Statistics 2021-02-24 Xuecheng Yin , I. Esra Buyuktahtakin

Epidemic modeling, encompassing deterministic and stochastic approaches, is vital for understanding infectious diseases and informing public health strategies. This research adopts a prescriptive approach, focusing on reinforcement learning…

Artificial Intelligence · Computer Science 2023-12-27 Elizabeth Akinyi Ondula , Bhaskar Krishnamachari

We study a resource allocation problem for containing an infectious disease in a metapopulation subject to resource uncertainty. We propose a two-stage model where the policy maker seeks to allocate resources in both stages where the second…

Optimization and Control · Mathematics 2020-06-03 Ceyda Yaba Best , Amin Khademi , Burak Eksioglu

We consider the problem of controlling an SIR-model epidemic by temporarily reducing the rate of contact within a population. The control takes the form of a multiplicative reduction in the contact rate of infectious individuals. The…

Optimization and Control · Mathematics 2021-06-29 David I. Ketcheson

Greater capabilities of mobile communications technology enable interconnection of on-site medical care at a scale previously unavailable. However, embedding such critical, demanding tasks into the already complex infrastructure of mobile…

Machine Learning · Computer Science 2022-01-26 Steffen Gracla , Edgar Beck , Carsten Bockelmann , Armin Dekorsy

Epidemiological models are best suitable to model an epidemic if the spread pattern is stationary. To deal with non-stationary patterns and multiple waves of an epidemic, we develop a hybrid model encompassing epidemic modeling, particle…

Machine Learning · Computer Science 2024-02-01 Naresh Kumar , Seba Susan

Nurse staffing and scheduling are persistent challenges in healthcare due to demand fluctuations and individual nurse preferences. This study introduces the concept of bounded flexibility, balancing nurse satisfaction with strict rostering…

Optimization and Control · Mathematics 2025-06-02 Si Zhang , Paul Mingzheng Tang , Hoong Chuin Lau

Seasonal influenza epidemics cause consistent, considerable, widespread loss annually in terms of economic burden, morbidity, and mortality. With access to accurate and reliable forecasts of a current or upcoming influenza epidemic's…

Populations and Evolution · Quantitative Biology 2016-02-17 Logan C. Brooks , David C. Farrow , Sangwon Hyun , Ryan J. Tibshirani , Roni Rosenfeld

We introduce a new method for forecasting emergency call arrival rates that combines integer-valued time series models with a dynamic latent factor structure. Covariate information is captured via simple constraints on the factor loadings.…

Applications · Statistics 2011-07-26 David S. Matteson , Mathew W. McLean , Dawn B. Woodard , Shane G. Henderson

This paper addresses a production scheduling problem derived from an industrial use case, focusing on unrelated parallel machine scheduling with the personnel availability constraint. The proposed model optimizes the production plan over a…

Artificial Intelligence · Computer Science 2024-02-27 Maziyar Khadivi , Mostafa Abbasi , Todd Charter , Homayoun Najjaran

We consider the problem of scheduling elective surgeries in a Children's Hospital, where disruptions due to emergencies and no-shows may arise. We account for two features that occur in many pediatric settings: i) that it is not uncommon…

Optimization and Control · Mathematics 2024-08-23 Martina Doneda , Gloria Pelizzo , Sara Costanzo , Giuliana Carello

Emergency Department (ED) overcrowding continues to be a public health issue as well as a patient safety issue. The underlying factors leading to ED crowding are numerous, varied, and complex. Although lack of in-hospital beds is frequently…

In the United States, medical responses by fire departments over the last four decades increased by 367%. This had made it critical to decision makers in emergency response departments that existing resources are efficiently used. In this…

Systems and Control · Electrical Eng. & Systems 2020-10-16 Cheng Hua , Tauhid Zaman