Hello and Welcome! π
I'm Elizabeth - I split my time between research and healthcare analytics. I'm a part-time Research Associate at Cardiff University's School of Mathematics and a Principal Analyst at Cardiff and Vale University Health Board.
About me
- π Postdoctoral Research Associate in the School of Mathematics at Cardiff University.
- π₯ I am currently applying Operational Research to healthcare systems both in an academic and clinical context.
- π± Actively developing my skills in Python and SQL.
- π« Get in touch either by Email or Twitter/X.
Research Interests
I am interested in the application of Operational Research to healthcare services. My work focuses on developing mathematical models and algorithms to enhance the planning and delivery of care. I currently split my time between working within an NHS Health Board on service improvement projects, and at Cardiff University, where I focus on planning and optimising end-of-life care services.
Qualifications
- 2024: Fellow of the Higher Education Academy (FHEA)
- 2023: Ph.D. Mathematics (Operational Research), Cardiff University
- 2019: MMath Mathematics, University of South Wales
Publications
Check out my ResearchGate or Google Scholar profiles for my latest publications!
- 2025
-
Queues under stochastic priority switching.
Palmer, G.I., Panayides, M., Knight, V. and Williams, E.
Journal of the Operational Research Society, 2025, 1-19.
-
Predictive and Prescriptive Analytics for Multi-Site
Modelling of Frail and Elderly Patient Services.
Williams, E.M., Gartner, D, and Harper, P.
Journal of the Operational Research Society, 2025, 1-19.
-
Analytics for the location planning of
attention-deficit hyperactivity disorder monitoring
capacity in adolescents.
Williams, E.H, Williams, E.M, Gartner, D, Johns, G, and Ahuja, A.
Presented at: 13th IEEE International Conference on Healthcare Informatics (ICHI 2025), Rende, Italy, 18-21 June 2025.
-
Mathematical Methodology for Defining a Frequent
Attender within Emergency Departments.
Williams, E. Brice, S.N., Price, D.
Front. Disaster Emerg. Med. Sec. Emergency Health Services 2025 3.
- 2024
-
Capacity planning of virtual wards for frail and
elderly patients.
Grange, H., Johns, G., Ahuja, A., Harper, P., Williams, E. and Gartner, D.
Healthcare 2024 12(5), 533.
- 2022
-
Linking predictive and prescriptive analytics of
elderly and frail patient hospital services.
Williams, E., Gartner, D. and Harper, P.
Presented at: 10th IEEE International Conference on Healthcare Informatics (ICHI 2022), Rochester, MN, United States, 11-14 June 2022.
-
Prescriptive healthcare analytics: a tutorial on
discrete optimization and simulation.
Gartner, D., Williams, E. and Harper, P.
Presented at: 10th IEEE International Conference on Healthcare Informatics (ICHI 2022), Rochester, MN, United States, 11-14 June 2022.
- 2021
-
A survey of OR/MS models on care planning for frail and
elderly patients.
Williams, E., Gartner, D. and Harper, P.
Operations Research for Health Care 31, 100325.
- 2020
-
Discrete-event simulation modeling of critical care
flow: new hospital, old challenges.
Williams, E., Szakmany, T., Spernaes, I., Muthuswamy, B. and Holborn, P.
Critical Care Explorations 2(9), e0174.
-
Mathematical modeling of critical care flow: how can we
best cope with increasing demand?
Williams, E., Spearnes, I., Muthuswamy, B., Holborn, P. and Szakmany, T.
Presented at: Society of Critical Care Medicine Congress (SCCM), Orlando, FL, United States, 16-19 February 2020.
Conference Presentations
-
July 2025 - Festival of Digital Health, Cardiff -
Contributed Talk and Poster:
PRIDE: Planning & Resource Integration in Digital Environments - The Case of Frail, Elderly Patients and Palliative Care -
May 2025 - Healthcare Informatics Forum, Cardiff -
Contributed Talk:
Understanding Cardiology Services and Increasing Capacity -
March 2025 - Simulation Workshop, Exeter,Poster:
Optimising Cardiology Services: Forecasting and Simulation for Strategic Planning -
February 2025 - Data Lab for Social Good Research -
Contributed Talk:
Operational Research in Healthcare: Data-Driven Strategies for Service Optimisation -
February 2025 - The OR Society Beale Lecture - Contributed
Talk:
Linking Predictive and Prescriptive Analytics for Modelling Healthcare Services for Frail and Elderly Patients -
November 2024 - Cardiff Industry day, Cardiff - Lightening
Talk:
Health Care Modelling with Cardiff and Vale Health Board -
November 2023 - Cardiff Industry day, Cardiff - Poster:
Multi-Site and Multi-Service Modelling for Elderly and Frail Patients -
September 2023 - OR65, Bath - Contributed Talk:
Resource Planning for Meeting Capacity and Demand Requirements in Multiple Specialties: Optimising Patient Access and Reducing Waiting List Length -
July 2023 - ORAHS 2023, Graz - Contributed Talk:
Linking Predictive and Prescriptive Analytics for Healthcare Services: The Case of Frail and Elderly Patients -
June 2022 - ICHI IEEE - Doctoral Consortium:
Linking Predictive and Prescriptive Analytics of Elderly and Frail Patient Hospital Services -
June 2022 - ICHI IEEE - Tutorial Presenter:
Prescriptive Healthcare Analytics: a Tutorial on Discrete Optimization and Simulation -
June 2022 - 2022 CORS/INFORMS International Conference -
Contributed Talk:
Linking Predictive and Prescriptive Analytics for Healthcare Services: The Case of Frail and Elderly Patients -
May 2022 - Gregynog - Contributed Talk:
Using Predictive and Prescriptive Analytics Within Hospital Services for Elderly and Frail Patients -
March 2022 - OR64 - Contributed Talk:
Linking Predictive and Prescriptive Analytics for Healthcare Services: The Case of Frail and Elderly Patients -
February 2022 - USW Seminar Series - Contributed Talk:
Predictive Analytics Applied to Hospital Services for Elderly and Frail Patients -
July 2021 - INFORMS Healthcare - Contributed Talk:
Multi-site and Multi-service Modelling for Elderly and Frail Patients -
June 2021 - SIAM-SC National Conference - Contributed
Talk:
Multi-site and Multi-service Modelling for Elderly and Frail Patients -
April 2021 - 3rd IMA and OR Society Conference - Contributed
Talk:
Multi-site and Multi-service Modelling for Elderly and Frail Patients -
March 2021 - Welsh Mathematics 3MT - Contributed Talk:
Using Frailty as a Measure for Hospital Prediction -
July 2020 - ORAHS 2020 - Contributed Talk:
Multi-site and Multi-service Modelling for Elderly and Frail Patients -
October 2018 - University of South Wales Seminar Series -
Contributed Talk:
Mathematical Modelling of Critical Care Flow: How Can We Best Cope With Increasing Demand? -
September 2018 - NHS Welsh Modelling Collaborative:
Unscheduled Care - Contributed Talk:
Mathematical Modelling of Critical Care Flow: How Can We Best Cope With Increasing Demand?
Courses / Workshop Attendance
- Udemy: The Complete Oracle SQL Certification Course - 2025
- The OR Society: Early Career Researcher Workshop - 2023
- Delores23: A writing workshop for early-career OR researchers - 2023
- Stochmod EURO PhD School: Reinforcement learning applied to operations research - 2022
- NATCOR: Stochastic Modelling - 2021
- NATCOR: Heuristic and Approximation Algorithms - 2020
- Software Carpentry Course - 2020
Teaching Responsibilties

Lecturing at Cardiff University - 2024 to present
- MAT009 - Healthcare Modelling - Module Lead
- MAT031 - Further Operational Research
Lecturing at Cardiff University - 2023 to 2024
- MAT005 - Time Series and Forecasting
- MA2601 - Operational Research
- MAT009 - Healthcare Modelling - Guest lectures
Tutorials at Cardiff University - 2019 to 2023
- MA1003 - Computing For Mathematics - Python Labs
- MAT022 - Foundations of Statistics and Data Science - R Labs
- MA1050 - Introduction to Probability Theory - Tutorials
- MA2601 - Operational Research - Simul8 Labs
- MAT021 - Foundations of Operational Research and Analytics - Simul8 Drop in Sessions and Marking

University of South Wales - 2019
- MS2S08 - Management Science - Simul8 Labs
Awards
- 2023 Winner of the OR Society Doctoral Award for "Most Distinguished Body of Research leading to the Award of a Doctorate in the field of ORβ - 2024
- SIAM Student Chapter Certificate of Recogonition - 2022
- The IMA Student Prize for Outstanding Performance in Final Year - 2019
- The OR Society Undergraduate Award - 2019
Funding Acquired
- 2025: Cardiff University and the University of Waikato: Strategic International Partnership Collaborative Seed Fund - AI-HEART: Artificial Intelligence for Healthcare Efficiency and Analytics in Resource and Treatment-Optimisation - Β£9,800
- 2025: LEAP - PRIDE: Planning & Resource Integration in Digital Environments β The Case of Frail, Elderly Patients, and Palliative Care. - Β£80,000
- 2024: Cardiff University - Learning and Teaching Academy On-campus Internships - Β£8,070
Community Building and Organisation
- OR Society General Council - Regional Representative for SWORDS 2025
- OR Society Health & Social Services SIG committee member - 2024 to present
- Secretary of the OR Society Early Career Researcher Network: 2024 to present
- Treasurer of the Cardiff University Mathematics Postgraduate and Postdoctoral Careers Seminars: 2024
- OR66 Conference Health and Social Care Stream Organiser: 2024
- SIAM-UKIE National Student Chapter Conference Organising Committee: 2024
- New to OR Conference Organising Committee: 2024
- Tutor at We Solve Problems - Maths Circles: 2023
- President of the SIAM-IMA Student Chapter at Cardiff University: 2021-2022
- Treasurer of the SIAM-IMA Student Chapter at Cardiff University: 2020-2021