Doctoral Award Winner
Elizabeth Williams
Talk Title: Linking Predictive and Prescriptive Analytics for Modelling Healthcare Services for Frail and Elderly Patients
Abstract: The increasing demand for high-quality healthcare services, driven by an ageing population with complex health needs, presents significant challenges to the National Health Service. Frail and elderly patients, in particular, often require longer hospital stays and more intensive care, placing a disproportionate strain on hospital resources such as beds and staff.
Focusing on the frail and elderly population, the research utilises a dataset of over 650,000 patient records and employs predictive analytics, specifically classification and regression trees, to forecast patient length of stay and group patients into homogeneous clusters. These predictive insights are integrated into prescriptive optimisation models—both deterministic and two-stage stochastic approaches—to strategically determine bed capacities and staffing requirements while accounting for fluctuating demand and resource constraints.
This integration of predictive and prescriptive analytics not only enhances resource allocation and operational efficiency but also provides a robust framework for responding to variations in demand and organisational changes. Scenario analyses further evaluate the system's resilience, highlighting the adaptability of the models to different contexts and challenges. The value of the stochastic solution is quantified, demonstrating significant operational benefits and a 2% cost saving compared to traditional deterministic methods.
Dr. Elizabeth Williams is a Postdoctoral Research Associate in the School of Mathematics at Cardiff University, specialising in Operational Research with a focus on healthcare systems. Elizabeth earned her Ph.D. in Mathematics (Operational Research) from Cardiff University in 2023 and holds an MMath in Mathematics from the University of South Wales (2019). Her research involves developing mathematical models and algorithms to enhance the planning and delivery of healthcare services, aiming to improve efficiency and effectiveness within the NHS. In her current role, she is embedded within Cardiff and Vale Health Board, working on projects that address challenges in hospital bed management, staffing optimisation, and system resilience.