Overview
Postdoctoral researcher in Operational Research at Cardiff University, working alongside Cardiff and Vale Health Board. My research focuses on the development of mathematical models and algorithms to improve the planning and delivery of healthcare services. In my current role, I am embedded within a local NHS health board, working on projects that aim to improve the efficiency and effectiveness of the NHS.
Research Group
Professional Memberships
- Candidate Associate of the Operational Research Society (CandORS)
- Associate Member of the Institute of Mathematics and its Applications (AMIMA)
Publication
2024
- Grange, H., Johns, G., Ahuja, A., Harper, P., Williams, E. and Gartner, D. 2024. Capacity planning of virtual wards for frail and elderly patients. Healthcare 12(5), article number: 533. (10.3390/healthcare12050533)
2023
- Williams, E. 2023. Linking predictive and prescriptive analytics for modelling healthcare services for frail and elderly patients. PhD Thesis, Cardiff University.
2022
- Williams, E., Gartner, D. and Harper, P. 2022. Linking predictive and prescriptive analytics of elderly and frail patient hospital services. Presented at: 10th IEEE International Conference on Healthcare Informatics (ICHI 2022), Rochester, MN, United States, 11-14 June 20222022 IEEE 10th International Conference on Healthcare Informatics (ICHI). pp. 1-1., (10.1109/ICHI54592.2022.00071)
- Gartner, D., Williams, E. and Harper, P. 2022. Prescriptive healthcare analytics: a tutorial on discrete optimization and simulation. Presented at: 10th IEEE International Conference on Healthcare Informatics (ICHI 2022), Rochester, MN, United States, 11-14 June 2022.
2021
- Williams, E., Gartner, D. and Harper, P. 2021. A survey of OR/MS models on care planning for frail and elderly patients. Operations Research for Health Care 31, article number: 100325. (10.1016/j.orhc.2021.100325)
2020
- Williams, E., Szakmany, T., Spernaes, I., Muthuswamy, B. and Holborn, P. 2020. Discrete-event simulation modeling of critical care flow: new hospital, old challenges. Critical Care Explorations 2(9), article number: e0174. (10.1097/CCE.0000000000000174)
- Williams, E., Spearnes, I., Muthuswamy, B., Holborn, P. and Szakmany, T. 2020. 114: Mathematical modeling of critical care flow: how can we best cope with increasing demand?. Critical Care Medicine 48(1), pp. 40. (10.1097/01.ccm.0000618816.50090.25)
Articles
- Grange, H., Johns, G., Ahuja, A., Harper, P., Williams, E. and Gartner, D. 2024. Capacity planning of virtual wards for frail and elderly patients. Healthcare 12(5), article number: 533. (10.3390/healthcare12050533)
- Williams, E., Gartner, D. and Harper, P. 2021. A survey of OR/MS models on care planning for frail and elderly patients. Operations Research for Health Care 31, article number: 100325. (10.1016/j.orhc.2021.100325)
- Williams, E., Szakmany, T., Spernaes, I., Muthuswamy, B. and Holborn, P. 2020. Discrete-event simulation modeling of critical care flow: new hospital, old challenges. Critical Care Explorations 2(9), article number: e0174. (10.1097/CCE.0000000000000174)
- Williams, E., Spearnes, I., Muthuswamy, B., Holborn, P. and Szakmany, T. 2020. 114: Mathematical modeling of critical care flow: how can we best cope with increasing demand?. Critical Care Medicine 48(1), pp. 40. (10.1097/01.ccm.0000618816.50090.25)
Conferences
- Williams, E., Gartner, D. and Harper, P. 2022. Linking predictive and prescriptive analytics of elderly and frail patient hospital services. Presented at: 10th IEEE International Conference on Healthcare Informatics (ICHI 2022), Rochester, MN, United States, 11-14 June 20222022 IEEE 10th International Conference on Healthcare Informatics (ICHI). pp. 1-1., (10.1109/ICHI54592.2022.00071)
- Gartner, D., Williams, E. and Harper, P. 2022. Prescriptive healthcare analytics: a tutorial on discrete optimization and simulation. Presented at: 10th IEEE International Conference on Healthcare Informatics (ICHI 2022), Rochester, MN, United States, 11-14 June 2022.
Thesis
- Williams, E. 2023. Linking predictive and prescriptive analytics for modelling healthcare services for frail and elderly patients. PhD Thesis, Cardiff University.
- Williams, E., Gartner, D. and Harper, P. 2021. A survey of OR/MS models on care planning for frail and elderly patients. Operations Research for Health Care 31, article number: 100325. (10.1016/j.orhc.2021.100325)
- Williams, E., Szakmany, T., Spernaes, I., Muthuswamy, B. and Holborn, P. 2020. Discrete-event simulation modeling of critical care flow: new hospital, old challenges. Critical Care Explorations 2(9), article number: e0174. (10.1097/CCE.0000000000000174)
Research
Operational Research applied to healthcare systems
Teaching
Current Lecturing Responsibilities (24/25):
- MSc - MAT031 Further Operational Research
- MSc - MAT009 Healthcare Modelling
Previous Lecturing Responsibilities (23/24):
- MA2601 Operational Research
- MSc - MAT005 Time Series and Forecasting
Previous Tutorials (19-23):
- 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
Biography
Education
- MMath Mathematics (Distinction), University of South Wales (2019)
- PhD Mathematics, Cardiff University (2023)
- Fellow of the Higher Education Academy (FHEA) - November 2024
Honours and awards
- SIAM Student Chapter Certificate of Recognition - 2022
- The IMA Student Prize for Outstanding Performance in Final Year - 2019
- The OR Society Undergraduate Award - 2019
Committees and reviewing
- Secretary of the OR Society Early Career Researcher Network: 2024
- Treasurer of the Cardiff University Mathematics Postgraduate and Postdoctoral Careers Seminars: 2024
- OR66 Conference Health and Social Care Stream Organiser: 2024
Journal Reviewer for a number of OR Journals including; Health Systems, Informs Journal of Data Science and PLOS ONE