Professor Vincent Knight

(he/him)

2026

• Foster, H. , Knight, V. and Krapohl, S. 2026. Introspection dynamics with mutation in additive games. Dynamic Games and Applications (10.1007/s13235-026-00715-0)
• Knight, V. et al. 2026. Reviving, reproducing, and revisiting Axelrod’s second tournament. Communications AI & Computing 1 (1) 12. (10.1038/s44488-026-00016-w)
• Palmer, G. I. et al. 2026. Queues under stochastic priority switching. Journal of the Operational Research Society 77 (5), pp.1225-1243. (10.1080/01605682.2025.2525939)
• Brice, S. N. et al. 2026. Survey of ambulance usage by patients in metropolitan and provincial cities in Indonesia for Emergency Medical Services utilization. International Journal of Emergency Services 15 (1), pp.70-88. (10.1108/IJES-02-2024-0010)

2025

• Awan, M. S. K. et al. 2025. Modelling spatio-temporal progression of cyberattacks in data networks. Presented at: 2025 7th International Conference on Blockchain Computing and Applications (BCCA) Dubrovnic, Croatia 14-17 October 2025. 2025 7th International Conference on Blockchain Computing and Applications (BCCA). IEEE. , pp.882-888. (10.1109/BCCA66705.2025.11229708)
• Palmer, G. I. et al. 2025. On the optimisation of heterogeneous ambulance fleet allocations. IMA Journal of Management Mathematics 36 (4), pp.691-726. (10.1093/imaman/dpaf027)
• Gillard, J. et al. 2025. Optimising healthcare queues: a case study on chronic respiratory illness. IMA Journal of Management Mathematics 36 (2), pp.255-274. (10.1093/imaman/dpaf002)
• Harper, P. et al. 2025. Transforming emergency and urgent care services with mathematical modelling. In: Aston, P. ed. More UK Success Stories in Industrial Mathematics. Vol. 42, Mathematics in Industry Cham, Switzerland: Springer. , pp.131-137. (10.1007/978-3-031-48683-8_17)
• Knight, V. 2025. Python for mathematics. Chapman and Hall/CRC. (10.1201/9781003451860)

2024

• Glynatsi, N. E. , Knight, V. and Harper, M. 2024. Properties of winning Iterated Prisoner's Dilemma strategies.. PLoS Computational Biology 20 (12) e1012644. (10.1371/journal.pcbi.1012644)
• Brice, S. et al. 2024. Close-up on ambulance service estimation in Indonesia: Monte Carlo simulation study. Interactive Journal of Medical Research 13 e54240. (10.2196/54240)
• Knight, V. et al. 2024. Recognising and evaluating the effectiveness of extortion in the Iterated Prisoner’s Dilemma. PLoS ONE 19 (7) e0304641. (10.1371/journal.pone.0304641)

2023

• Gillard, J. , Knight, V. and Wilde, H. 2023. A novel initialisation based on hospital-resident assignment for the k-modes algorithm. Soft Computing 27 , pp.9441-9457. (10.1007/s00500-023-08407-2)
• Panayides, M. , Knight, V. and Harper, P. 2023. A game theoretic model of the behavioural gaming that takes place at the EMS - ED interface. European Journal of Operational Research 305 (3), pp.1236-1258. (10.1016/j.ejor.2022.07.001)

2022

• Brice, S. et al. 2022. Emergency services utilization in Jakarta (Indonesia): A cross-sectional study of patients attending hospital emergency departments. BMC Health Services Research 22 639. (10.1186/s12913-022-08061-8)
• Palmer, G. I. et al. 2022. Modelling changes in healthcare demand through geographic data extrapolation. Health Systems 11 (2), pp.109-125. (10.1080/20476965.2021.1906764)

2021

• Glynatsi, N. E. and Knight, V. A. 2021. A bibliometric study of research topics, collaboration, and centrality in the iterated prisoner's dilemma. Humanities and Social Sciences Communications 8 (1) 45. (10.1057/s41599-021-00718-9)

2020

• Shone, R. , Knight, V. A. and Harper, P. R. 2020. A conservative index heuristic for routing problems with multiple heterogeneous service facilities. Mathematical Methods of Operations Research 92 , pp.511-543. (10.1007/s00186-020-00722-w)
• Glynatsi, N. E. and Knight, V. A. 2020. Using a theory of mind to find best responses to memory-one strategies. Scientific Reports 10 17287. (10.1038/s41598-020-74181-y)
• Wilde, H. , Knight, V. and Gillard, J. 2020. Evolutionary dataset optimisation: learning algorithm quality through evolution. Applied Intelligence 50 , pp.1172-1191. (10.1007/s10489-019-01592-4)
• Wilde, H. , Knight, V. and Gillard, J. 2020. Matching: a Python library for solving matching games. Journal of Open Source Software 5 (48) 2169. (10.21105/joss.02169)

2019

• Palmer, G. I. et al. 2019. Ciw: An open-source discrete event simulation library. Journal of Simulation 13 (1), pp.68-82. (10.1080/17477778.2018.1473909)
• Morgan, J. et al. 2019. Determining patient outcomes from patient letters: A comparison of text analysis approaches. Journal of the Operational Research Society 70 (9), pp.1425-1439. (10.1080/01605682.2018.1506559)

2018

• Glynatsi, N. E. , Knight, V. and Lee, T. E. 2018. An evolutionary game theoretic model of rhino horn devaluation. Ecological Modelling 389 , pp.33-40. (10.1016/j.ecolmodel.2018.10.003)
• Knight, V. and Campbell, J. 2018. Nashpy: A Python library for the computation of Nash equilibria. Journal of Open Source Software 3 (30) 904. (10.21105/joss.00904)
• Prytherch, Z. et al. 2018. Evaluation of student engagement with differential media for Flipped Classroom teaching. Presented at: EdMedia: World Conference on Educational Media and Technology Amsterdam 25-29 June 2018. Published in: Bastiaens, T. et al., Proceedings of EdMedia: World Conference on Educational Media and Technology. Amsterdam, The Netherlands: Association for the Advancement of Computing in Education (AACE). , pp.1923-1928.
• Palmer, G. I. , Harper, P. R. and Knight, V. A. 2018. Modelling deadlock in open restricted queueing networks. European Journal of Operational Research 266 (2), pp.609-621. (10.1016/j.ejor.2017.10.039)
• Fetta, A. et al., 2018. Predicting adolescent social networks to stop smoking in secondary schools. European Journal of Operational Research 265 (1), pp.263-276. (10.1016/j.ejor.2017.07.039)

2017

• Harper, M. et al., 2017. Reinforcement learning produces dominant strategies for the Iterated Prisoner's Dilemma. Plos One 12 (12) e0188046. (10.1371/journal.pone.0188046)
• Vile, J. L. et al. 2017. A queueing theoretic approach to set staffing levels in time-dependent dual-class service systems. Decision Sciences 48 (4), pp.766-794. (10.1111/deci.12236)
• Knight, V. , Komenda, I. and Griffiths, J. 2017. Measuring the price of anarchy in critical care unit interactions. Journal of the Operational Research Society 68 (6), pp.630-642. (10.1057/s41274-016-0100-8)
• Arzpayma, P. et al., 2017. Creation and assessment of a computerized modelling tool for optimizing planning of home and hospital-based phototherapy. British Journal of Dermatology 176 (5), pp.1390-1391. (10.1111/bjd.14994)

2016

• Shone, R. et al. 2016. Containment of socially optimal policies in multiple-facility Markovian queueing systems. Journal of the Operational Research Society 67 (4), pp.629-643. (10.1057/jors.2015.98)
• Vile, J. L. et al. 2016. Time-dependent stochastic methods for managing and scheduling Emergency Medical Services. Operations Research for Health Care 8 , pp.42-52. (10.1016/j.orhc.2015.07.002)
• Gillard, J. W. et al. 2016. Rostering staff at a mathematics support service using a finite-source queueing model. IMA Journal of Management Mathematics 27 (2), pp.201-209. (10.1093/imaman/dpu017)
• Knight, V. A. et al. 2016. An open framework for the reproducible study of the iterated prisoner's dilemma. Journal of Open Research Software 4 (1) e35. (10.5334/jors.125)

2015

• Putman, K. et al., 2015. Modelling of psoriasis patient flows for the reconfiguration of secondary care services and treatments. Health Systems (10.1057/hs.2015.4)
• Williams, J. et al., 2015. Mathematical modelling of patient flows to predict critical care capacity required following the merger of two district general hospitals into one. Anaesthesia 70 (1), pp.32-40. (10.1111/anae.12839)

2014

• Burnap, P. et al. 2014. Tweeting the terror: modelling the social media reaction to the Woolwich terrorist attack. Social Network Analysis and Mining 4 206. (10.1007/s13278-014-0206-4)
• Gillard, J. W. and Knight, V. A. 2014. Using singular spectrum analysis to obtain staffing level requirements in emergency units. Journal of the Operational Research Society 65 (5), pp.735-746. (10.1057/jors.2013.41)

2013

• Griffiths, J. D. , Knight, V. A. and Komenda, I. 2013. Bed management in a critical care unit. IMA Journal of Management Mathematics 24 (2), pp.137-153. (10.1093/imaman/dpr028)
• Knight, V. A. and Harper, P. R. 2013. Selfish routing in public services. European Journal of Operational Research 230 (1), pp.122-132. (10.1016/j.ejor.2013.04.003)
• Mustafee, N. et al., 2013. Cost-effective workforce planning: optimising the dental team skill-mix for England. Journal of Enterprise Information Management 26 (1/2), pp.91-108. (10.1108/17410391311289569)
• Shone, R. W. , Knight, V. A. and Williams, J. E. 2013. Comparisons between observable and unobservable M/M/1 queues with respect to optimal customer behavior. European Journal of Operational Research 227 (1), pp.133-141. (10.1016/j.ejor.2012.12.016)
• Vile, J. et al. 2013. Integrating demand forecasting and workforce planning strategies for emergency medical services. Presented at: Operational Research Applied to Health Services (ORAHS) Istanbul, Turkey July 2013.

2012

• Knight, V. A. and Harper, P. R. 2012. Modelling emergency medical services with phase-type distributions. Health Systems 1 (1), pp.58-68. (10.1057/hs.2012.1)
• Bareš, R. et al., 2012. Simulating bed capacity: evaluating the impact of healthcare service transfers. Presented at: 14th International Conference on Modelling and Simulation Cambridge, UK 28-30 March 2012. 14th International Conference on Modelling and Simulation. Los Alamitos, CA: IEEE. , pp.358-362. (10.1109/UKSim.2012.59)
• Knight, V. A. et al. 2012. How efficient can an emergency unit be? A perfect world model. Emergency Medicine Journal (10.1136/emermed-2011-200101)
• Fetta, A. G. et al. 2012. On the Peter Principle: An agent based investigation into the consequential effects of social networks and behavioural factors. Physica A: Statistical Mechanics and its Applications 391 (9), pp.2898-2910. (10.1016/j.physa.2011.12.053)
• Harper, P. R. , Knight, V. A. and Marshall, A. H. 2012. Discrete conditional phase-type models utilising classification trees: application to modelling health service capacities. European Journal of Operational Research 219 (3), pp.522-530. (10.1016/j.ejor.2011.10.035)
• Knight, V. A. , Harper, P. R. and Smith, L. 2012. Ambulance allocation for maximal survival with heterogeneous outcome measures. OMEGA -The International Journal of Management Science. 40 (6), pp.918-926. (10.1016/j.omega.2012.02.003)
• Knight, V. A. , Williams, J. E. and Reynolds, I. T. 2012. Modelling patient choice in healthcare systems: development and application of a discrete event simulation with agent-based functionality. Journal of Simulation 6 (2), pp.92-102. (10.1057/jos.2011.21)
• Vile, J. L. et al. 2012. Predicting ambulance demand using singular spectrum analysis. Journal of the Operational Research Society 63 , pp.1556-1565. (10.1057/jors.2011.160)

2011

• Harper, P. R. et al. 2011. Operational research informing national health policy. Cardiff University.

2010

• Vile, J. L. et al. 2010. Forecasting Welsh ambulance demand using singular spectrum analysis. Presented at: 36th International ORAHS conference Genova, Italy 18-23 July 2010. Published in: Testi, A. ed. Operations Research for Patient-Centered Health Care Delivery: Proceedings of the XXXVI International ORAHS Conference. Economia Vol. 5. Milan: Franco Angeli. , pp.196-208.

2009

• Knight, V. A. 2009. Alternating sign matrices and polytopes. PhD Thesis , Cardiff University.

2007

• Behrend, R. E. and Knight, V. A. 2007. Higher spin alternating sign matrices. Electronic Journal of Combinatorics 14 (1) R83.