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Number of items: 53.

Palmer, Geraint Ian ORCID: https://orcid.org/0000-0001-7865-6964, Tuson, Mark, Knight, Vincent ORCID: https://orcid.org/0000-0002-4245-0638, Harper, Paul ORCID: https://orcid.org/0000-0001-7894-4907, Brice, Sarie, Smith, Leanne and Gartner, Daniel 2025. On the optimisation of heterogeneous ambulance fleet allocations. IMA Journal of Management Mathematics , dpaf027. 10.1093/imaman/dpaf027
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Palmer, Geraint Ian ORCID: https://orcid.org/0000-0001-7865-6964, Panayidis, Michalis, Knight, Vincent ORCID: https://orcid.org/0000-0002-4245-0638 and Williams, Elizabeth ORCID: https://orcid.org/0000-0003-4515-441X 2025. Queues under stochastic priority switching. Journal of the Operational Research Society 10.1080/01605682.2025.2525939
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Gillard, Jonathan ORCID: https://orcid.org/0000-0001-9166-298X, Knight, Vincent ORCID: https://orcid.org/0000-0002-4245-0638, Smith, Kendal and Wilde, Henry 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
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Harper, Paul ORCID: https://orcid.org/0000-0001-7894-4907, Gartner, Daniel ORCID: https://orcid.org/0000-0003-4361-8559, Knight, Vince ORCID: https://orcid.org/0000-0002-4245-0638, Palmer, Geraint ORCID: https://orcid.org/0000-0001-7865-6964 and Tuson, Mark 2025. Transforming emergency and urgent care services with mathematical modelling. Aston, Philip J., ed. More UK Success Stories in Industrial Mathematics, Springer, pp. 131-137. (10.1007/978-3-031-48683-8_17)

Harper, Paul ORCID: https://orcid.org/0000-0001-7894-4907, Gartner, Daniel ORCID: https://orcid.org/0000-0003-4361-8559, Knight, Vincent ORCID: https://orcid.org/0000-0002-4245-0638, Palmer, Geraint ORCID: https://orcid.org/0000-0001-7865-6964 and Tuson, Mark 2025. Transforming emergency and urgent care services with mathematical modelling. Aston, P.J., 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)

Glynatsi, Nikoleta E, Knight, Vincent ORCID: https://orcid.org/0000-0002-4245-0638 and Harper, Marc 2024. Properties of winning Iterated Prisoner's Dilemma strategies. PLoS Computational Biology 20 (12) , e1012644. 10.1371/journal.pcbi.1012644
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Brice, Syaribah, Boutilier, Justin, Palmer, Geraint ORCID: https://orcid.org/0000-0001-7865-6964, Harper, Paul R. ORCID: https://orcid.org/0000-0001-7894-4907, Knight, Vincent ORCID: https://orcid.org/0000-0002-4245-0638, Tuson, Mark and Gartner, Daniel ORCID: https://orcid.org/0000-0003-4361-8559 2024. Close-up on ambulance service estimation in Indonesia: Monte Carlo simulation study. Interactive Journal of Medical Research 13 , e54240. 10.2196/54240
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Knight, Vincent ORCID: https://orcid.org/0000-0002-4245-0638, Harper, Marc, Glynatsi, Nikoleta E. and Gillard, Jonathan ORCID: https://orcid.org/0000-0001-9166-298X 2024. Recognising and evaluating the effectiveness of extortion in the Iterated Prisoner’s Dilemma. PLoS ONE 19 (7) , e0304641. 10.1371/journal.pone.0304641
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Gillard, Jonathan ORCID: https://orcid.org/0000-0001-9166-298X, Knight, Vincent ORCID: https://orcid.org/0000-0002-4245-0638 and Wilde, Henry 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
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Panayides, Michalis, Knight, Vince ORCID: https://orcid.org/0000-0002-4245-0638 and Harper, Paul ORCID: https://orcid.org/0000-0001-7894-4907 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
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Brice, Syaribah, Boutilier, Justin, Gartner, Daniel ORCID: https://orcid.org/0000-0003-4361-8559, Harper, Paul ORCID: https://orcid.org/0000-0001-7894-4907, Knight, Vincent ORCID: https://orcid.org/0000-0002-4245-0638, Lloyd, Jen, Djuned, Aryono, Puspita, Asti, Turnbull-Ross, Jonathan and Tuson, Mark 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
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Palmer, Geraint Ian ORCID: https://orcid.org/0000-0001-7865-6964, Harper, Paul ORCID: https://orcid.org/0000-0001-7894-4907, Knight, Vincent ORCID: https://orcid.org/0000-0002-4245-0638 and Brooks, Cathy 2022. Modelling changes in healthcare demand through geographic data extrapolation. Health Systems 11 (2) , pp. 109-125. 10.1080/20476965.2021.1906764
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Glynatsi, Nikoleta E. and Knight, Vincent A. ORCID: https://orcid.org/0000-0002-4245-0638 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
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Shone, Rob, Knight, Vincent A. ORCID: https://orcid.org/0000-0002-4245-0638 and Harper, Paul R. ORCID: https://orcid.org/0000-0001-7894-4907 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
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Glynatsi, Nikoleta E. and Knight, Vincent A. ORCID: https://orcid.org/0000-0002-4245-0638 2020. Using a theory of mind to find best responses to memory-one strategies. Scientific Reports 10 , 17287. 10.1038/s41598-020-74181-y
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Wilde, Henry, Knight, Vincent ORCID: https://orcid.org/0000-0002-4245-0638 and Gillard, Jonathan ORCID: https://orcid.org/0000-0001-9166-298X 2020. Evolutionary dataset optimisation: learning algorithm quality through evolution. Applied Intelligence 50 , pp. 1172-1191. 10.1007/s10489-019-01592-4
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Wilde, Henry, Knight, Vincent ORCID: https://orcid.org/0000-0002-4245-0638 and Gillard, Jonathan ORCID: https://orcid.org/0000-0001-9166-298X 2020. Matching: a Python library for solving matching games. Journal of Open Source Software 5 (48) , 2169. 10.21105/joss.02169
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Palmer, Geraint I. ORCID: https://orcid.org/0000-0001-7865-6964, Knight, Vincent A. ORCID: https://orcid.org/0000-0002-4245-0638, Harper, Paul R. ORCID: https://orcid.org/0000-0001-7894-4907 and Hawa, Asyl L. 2019. Ciw: An open-source discrete event simulation library. Journal of Simulation 13 (1) , pp. 68-82. 10.1080/17477778.2018.1473909
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Morgan, Jennifer ORCID: https://orcid.org/0000-0002-7025-0350, Harper, Paul ORCID: https://orcid.org/0000-0001-7894-4907, Knight, Vincent ORCID: https://orcid.org/0000-0002-4245-0638, Artemiou, Andreas ORCID: https://orcid.org/0000-0002-7501-4090, Carney, Alexander and Nelson, Andrew ORCID: https://orcid.org/0000-0002-5171-413X 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
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Glynatsi, Nikoleta E., Knight, Vincent ORCID: https://orcid.org/0000-0002-4245-0638 and Lee, Tamsin E. 2018. An evolutionary game theoretic model of rhino horn devaluation. Ecological Modelling 389 , pp. 33-40. 10.1016/j.ecolmodel.2018.10.003
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Knight, Vincent ORCID: https://orcid.org/0000-0002-4245-0638 and Campbell, James 2018. Nashpy: A Python library for the computation of Nash equilibria. Journal of Open Source Software 3 (30) , 904. 10.21105/joss.00904
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Prytherch, Zoe ORCID: https://orcid.org/0000-0003-0690-0184, Davies, Harry, Gilliver, Kate, Bartlett, Susan, Phillips, Helen R., Naylor, Angharad, Coulman, Sion A. ORCID: https://orcid.org/0000-0002-1277-7584, Knight, Vincent A. ORCID: https://orcid.org/0000-0002-4245-0638, Magill, Sharon E. and Rutherford, Stephen M. ORCID: https://orcid.org/0000-0002-5572-8854 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, Theo, Van Braak, Johan, Brown, Mark, Cantoni, Lorenzo, Castro, Manuel, Christensen, Rhonda, Davidson-Shivers, Gayle V., DePryk, Koen, Ebner, Martin, Fominykh, Mikhail, Fulford, Catherine, Hatzipanagos, Stylianos, Knezek, Gerald, Kreijns, Karel, Marks, Gary, Sointu, Erkko, Korsgaard Sorensen, Elsebeth, Viteli, Jarmo, Voogt, Joke, Weber, Peter, Weippl, Edgar and Zawacki-Richter, Olaf eds. 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.
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Palmer, Geraint I. ORCID: https://orcid.org/0000-0001-7865-6964, Harper, Paul R. ORCID: https://orcid.org/0000-0001-7894-4907 and Knight, Vincent A. ORCID: https://orcid.org/0000-0002-4245-0638 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
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Fetta, Angelico, Harper, Paul ORCID: https://orcid.org/0000-0001-7894-4907, Knight, Vincent ORCID: https://orcid.org/0000-0002-4245-0638 and Williams, Janet 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
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Harper, Marc, Knight, Vincent ORCID: https://orcid.org/0000-0002-4245-0638, Jones, Martin, Koutsovoulos, Georgios, Glynatsi, Nikoleta and Campbell, Owen 2017. Reinforcement learning produces dominant strategies for the Iterated Prisoner's Dilemma. Plos One 12 (12) , e0188046. 10.1371/journal.pone.0188046
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Vile, J. L., Gillard, J. W. ORCID: https://orcid.org/0000-0001-9166-298X, Harper, P. R. ORCID: https://orcid.org/0000-0001-7894-4907 and Knight, V. A. ORCID: https://orcid.org/0000-0002-4245-0638 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
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Knight, Vincent ORCID: https://orcid.org/0000-0002-4245-0638, Komenda, Izabela and Griffiths, Jeffrey 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
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Arzpayma, P., Jones, H., Harper, Paul ORCID: https://orcid.org/0000-0001-7894-4907, Knight, Vincent ORCID: https://orcid.org/0000-0002-4245-0638, Shipley, D., Edwards, C. and Anstey, A. 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

Shone, Rob, Knight, Vincent A. ORCID: https://orcid.org/0000-0002-4245-0638, Harper, Paul R. ORCID: https://orcid.org/0000-0001-7894-4907, Williams, Janet E. and Minty, John 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
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Vile, Julie Leanne, Gillard, Jonathan William ORCID: https://orcid.org/0000-0001-9166-298X, Harper, Paul Robert ORCID: https://orcid.org/0000-0001-7894-4907 and Knight, Vincent Anthony ORCID: https://orcid.org/0000-0002-4245-0638 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
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Knight, Vincent Anthony ORCID: https://orcid.org/0000-0002-4245-0638, Campbell, Owen, Harper, Marc, Langner, Karol M., Campbell, James, Campbell, Thomas, Carney, Alex, Chorley, Martin ORCID: https://orcid.org/0000-0001-8744-260X, Davidson-Pilon, Cameron, Glass, Kristian, Glynatsi, Nikoleta, Ehrlich, Tomás, Jones, Martin, Koutsovoulos, Georgios, Tibble, Holly, Muller, Jochen, Palmer, Geraint, Petunov, Piotr, Slavin, Paul, Standen, Timothy, Visintini, Luis and Molden, Karl 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
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Gillard, Jonathan William ORCID: https://orcid.org/0000-0001-9166-298X, Knight, Vincent Anthony ORCID: https://orcid.org/0000-0002-4245-0638, Vile, Julie Leanne and Wilson, Robert 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
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Putman, Kayne, Anstey, Alexander ORCID: https://orcid.org/0000-0002-6345-4144, Harper, Paul Robert ORCID: https://orcid.org/0000-0001-7894-4907 and Knight, Vincent Anthony ORCID: https://orcid.org/0000-0002-4245-0638 2015. Modelling of psoriasis patient flows for the reconfiguration of secondary care services and treatments. Health Systems 10.1057/hs.2015.4
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Williams, J., Dumont, S., Parry-Jones, J., Komenda, Izabela, Griffiths, Jeffrey Deacon and Knight, Vincent Anthony ORCID: https://orcid.org/0000-0002-4245-0638 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

Burnap, Pete ORCID: https://orcid.org/0000-0003-0396-633X, Williams, Matthew L. ORCID: https://orcid.org/0000-0003-2566-6063, Sloan, Luke ORCID: https://orcid.org/0000-0002-9458-9332, Rana, Omer ORCID: https://orcid.org/0000-0003-3597-2646, Housley, William ORCID: https://orcid.org/0000-0003-1568-9093, Edwards, Adam ORCID: https://orcid.org/0000-0002-1332-5934, Knight, Vincent ORCID: https://orcid.org/0000-0002-4245-0638, Procter, Rob and Voss, Alex 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
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Gillard, Jonathan William ORCID: https://orcid.org/0000-0001-9166-298X and Knight, Vincent Anthony ORCID: https://orcid.org/0000-0002-4245-0638 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
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Knight, Vincent Anthony ORCID: https://orcid.org/0000-0002-4245-0638 and Harper, Paul Robert ORCID: https://orcid.org/0000-0001-7894-4907 2013. Selfish routing in public services. European Journal of Operational Research 230 (1) , pp. 122-132. 10.1016/j.ejor.2013.04.003
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Vile, Julie, Gillard, Jonathan William ORCID: https://orcid.org/0000-0001-9166-298X, Harper, Paul Robert ORCID: https://orcid.org/0000-0001-7894-4907 and Knight, Vincent Anthony ORCID: https://orcid.org/0000-0002-4245-0638 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.

Shone, Robert William, Knight, Vincent Anthony ORCID: https://orcid.org/0000-0002-4245-0638 and Williams, Janet Elizabeth 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

Griffiths, Jeffrey Deacon, Knight, Vincent Anthony ORCID: https://orcid.org/0000-0002-4245-0638 and Komenda, Izabela 2013. Bed management in a critical care unit. IMA Journal of Management Mathematics 24 (2) , pp. 137-153. 10.1093/imaman/dpr028
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Mustafee, Navonil, Harper, Paul robert ORCID: https://orcid.org/0000-0001-7894-4907, Kleinman, Eleanor, Gallagher, Jennifer and Knight, Vincent Anthony ORCID: https://orcid.org/0000-0002-4245-0638 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

Knight, Vincent Anthony ORCID: https://orcid.org/0000-0002-4245-0638, Harper, Paul Robert ORCID: https://orcid.org/0000-0001-7894-4907 and Smith, Leanne 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

Harper, Paul Robert ORCID: https://orcid.org/0000-0001-7894-4907, Knight, Vincent Anthony ORCID: https://orcid.org/0000-0002-4245-0638 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

Fetta, Angelico Giovanni, Harper, Paul Robert ORCID: https://orcid.org/0000-0001-7894-4907, Knight, Vincent Anthony ORCID: https://orcid.org/0000-0002-4245-0638, Vieira, Israel Teixeira and Williams, Janet Elizabeth 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

Knight, Vincent Anthony ORCID: https://orcid.org/0000-0002-4245-0638, Williams, Janet Elizabeth and Reynolds, Iain Thomas 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

Knight, Vincent Anthony ORCID: https://orcid.org/0000-0002-4245-0638 and Harper, Paul Robert ORCID: https://orcid.org/0000-0001-7894-4907 2012. Modelling emergency medical services with phase-type distributions. Health Systems 1 (1) , pp. 58-68. 10.1057/hs.2012.1

Bareš, Robert, Griffiths, Jeffrey Deacon, Knight, Vincent Anthony ORCID: https://orcid.org/0000-0002-4245-0638, Williams, Janet Elizabeth, Baboolal, Kesh and Nelson, Andrew Victor 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, Vincent Anthony ORCID: https://orcid.org/0000-0002-4245-0638, Voake, Cheryl, Williams, Janet Elizabeth, Griffiths, Jeffrey Deacon, Nelson, Andrew Victor and Baboolal, Kesh 2012. How efficient can an emergency unit be? A perfect world model. Emergency Medicine Journal 10.1136/emermed-2011-200101

Vile, Julie Leanne, Gillard, Jonathan William ORCID: https://orcid.org/0000-0001-9166-298X, Harper, Paul Robert ORCID: https://orcid.org/0000-0001-7894-4907 and Knight, Vincent Anthony ORCID: https://orcid.org/0000-0002-4245-0638 2012. Predicting ambulance demand using singular spectrum analysis. Journal of the Operational Research Society 63 , pp. 1556-1565. 10.1057/jors.2011.160

Harper, Paul Robert ORCID: https://orcid.org/0000-0001-7894-4907, Knight, Vincent Anthony ORCID: https://orcid.org/0000-0002-4245-0638, Vieira, Israel and Williams, Janet Elizabeth 2011. Operational research informing national health policy. Cardiff University.

Vile, Julie Leanne, Gillard, Jonathan William ORCID: https://orcid.org/0000-0001-9166-298X, Harper, Paul Robert ORCID: https://orcid.org/0000-0001-7894-4907 and Knight, Vincent Anthony ORCID: https://orcid.org/0000-0002-4245-0638 2010. Forecasting Welsh ambulance demand using singular spectrum analysis. Presented at: 36th International ORAHS conference, Genova, Italy, 18-23 July 2010. Published in: Testi, Angela ed. Operations Research for Patient-Centered Health Care Delivery: Proceedings of the XXXVI International ORAHS Conference. Proceedings of the XXXVI International ORAHS Conference. Economia (5) Milan: Franco Angeli, pp. 196-208.

Knight, Vincent Anthony ORCID: https://orcid.org/0000-0002-4245-0638 2009. Alternating sign matrices and polytopes. PhD Thesis, Cardiff University.
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Behrend, Roger E. ORCID: https://orcid.org/0000-0002-6143-7439 and Knight, Vincent Anthony ORCID: https://orcid.org/0000-0002-4245-0638 2007. Higher spin alternating sign matrices. Electronic Journal of Combinatorics 14 (1) , R83.
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