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We study optimal scheduling in multi-class queueing systems with reentrance, where jobs may return for additional service after completion. Such reentrance creates feedback loops that fundamentally alter congestion dynamics and challenge…

Optimization and Control · Mathematics 2025-09-16 Lin Franklin Feng , Yue Hu , Xu Kuang

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

Assigning patients to rooms and nurses to patients are critical tasks within hospitals that directly affect patient and staff satisfaction, quality of care, and hospital efficiency. Both patient-to-room assignments and nurse-to-patient…

This paper studies a sequential decision-making problem in a two-stage queueing system modeled after operations in CVS MinuteClinics, where nurse practitioners (NPs) oversee patient care throughout the entire visit. All services are…

Optimization and Control · Mathematics 2026-03-11 Shuwen Lu , Mark E. Lewis , Jamol Pender

Amid unprecedented times caused by COVID-19, healthcare systems all over the world are strained to the limits of, or even beyond, capacity. A similar event is experienced by some healthcare systems regularly, due to for instance seasonal…

Performance · Computer Science 2020-04-30 Binyamin Oz , Seva Shneer , Ilze Ziedins

Diagnostic clinics are among healthcare facilities that suffer from long waiting times which can cause medical issues and lead to increases in patient no-shows. Reducing waiting times without significant capital investments is a challenging…

Optimization and Control · Mathematics 2020-04-20 Mahsa Kiani , Burak Eksioglu , Tugce Isik , Alexandria Thomas , John Gilpin

Motivated by the operational problems in click and collect systems, such as curbside pickup programs, we study a joint admission control and capacity allocation problem. We consider a system where arriving customers have preferred service…

Optimization and Control · Mathematics 2022-03-04 Melis Boran , Bahar Cavdar , Tugce Isik

We introduce two new optimization models for the dispatch of ambulances. The first model, called the ambulance selection problem, is used when an emergency call arrives to decide whether an ambulance should be dispatched for that call, and…

Optimization and Control · Mathematics 2024-09-10 Vincent Guigues , Anton Kleywegt , Victor Hugo Nascimento

Problem definition: Emergency department (ED) boarding refers to the practice of holding patients in the ED after they have been admitted to hospital wards, usually resulting from insufficient inpatient resources. Boarded patients may…

Optimization and Control · Mathematics 2021-11-17 Shasha Han , Shuangchi He , Hong Choon Oh

The performance of Emergency Departments (EDs) is of great importance for any health care system, as they serve as the entry point for many patients. However, among other factors, the variability of patient acuity levels and corresponding…

Machine Learning · Computer Science 2022-06-09 Nikolaus Furian , Michael O'Sullivan , Cameron Walker , Melanie Reuter-Oppermann

The nurse scheduling problem is a critical optimization challenge in healthcare management. It aims to balance staffing demands, nurse satisfaction, and patient care quality. Corresponding to the constraints inherent in this scheduling…

Optimization and Control · Mathematics 2024-05-27 Matthew M. Lin , Yu-Chen Shu , Bing-Ze Lu , Pei-Shan Fang

Motivated by health care systems with repeated services that have both personnel (nurse and physician) and space (beds) constraints, we study a restricted version of the Erlang-R model. The space restriction policies we consider are…

Emergency department (ED) overcrowding and patient boarding represent critical systemic challenges that compromise care quality. We propose a threshold-based admission policy that redirects non-urgent patients to alternative care pathways,…

Performance · Computer Science 2026-01-16 Sahba Baniasadi , Paul M. Griffin , Prakash Chakraborty

In this study, we provided a scheduling procedure which is a combination of machine learning and mathematical programming that minimizes the waiting time of higher priority outpatients. Outpatients who request for appointment in healthcare…

Signal Processing · Electrical Eng. & Systems 2024-01-02 Niloofar Yousefi , Farhad Hasankhani , Mahsa Kiani , Nooshin Yousefi

The global home healthcare market is growing rapidly due to aging populations, advancements in healthcare technology, and patient preference for home-based care. In this paper, we study the multi-day planning problem of simultaneously…

Optimization and Control · Mathematics 2024-07-10 Carolin Bauerhenne , Jonathan Bard , Rainer Kolisch

We study a control problem for queueing systems where customers may return for additional episodes of service after their initial service completion. At each service completion epoch, the decision maker can choose to reduce the probability…

Systems and Control · Electrical Eng. & Systems 2024-06-12 Timothy C. Y. Chan , Simon Y. Huang , Vahid Sarhangian

Chemotherapy appointment scheduling is a challenging problem due to the uncertainty in pre-medication and infusion durations. In this paper, we formulate a two-stage stochastic mixed integer programming model for the chemotherapy…

Optimization and Control · Mathematics 2021-01-20 Nur Banu Demir , Serhat Gul , Melih Celik

Performance modeling is a key issue in queuing theory and operation research. It is well-known that the length of a queue that awaits service or the time spent by a job in a queue depends not only on the service rate, but also crucially on…

Statistical Mechanics · Physics 2024-04-16 Reshmi Roy , Arup Biswas , Arnab Pal

Queuing systems with redundant requests have drawn great attention because of their promise to reduce the job completion time and variability. Despite a large body of work on the topic, we are still far from fully understanding the benefits…

Performance · Computer Science 2019-10-08 Amir Behrouzi-Far , Emina Soljanin

Rising provider turnover results in frequently needing to rematch patients with available providers. However, the rematching process is cumbersome for both patients and health systems, resulting in labor-intensive and ad hoc reassignments.…

Computers and Society · Computer Science 2025-06-13 Naveen Raman , Holly Wiberg
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