Markov modelling: Queueing processes and evolutionary dynamics
Pedagogy: Active learning approaches
Game Theory: Strategic behaviour in queues and the Iterated Prisoner's dilemma
Healthcare: Applied modelling of patient flow
Publications
2018:
A conservative index heuristic for routing problems with multiple heterogeneous service facilities:
Rob Shone,
Vincent Knight,
Paul Harper
-
Submitted to Mathematics of Operational Research
2016:
Ambulance Allocations for Maximising Survival within a Heterogeneous Population using a Heterogeneous Fleet.:
Leanne Smith,
Paul Harper,
Vincent Knight
-
Submitted to the journal of the operational research society
2015:
Rostering staff at a mathematics support service using a finite-source queueing model:
Jon Gillard,
Vincent Knight,
Julie Vile,
Rob Wilson
-
IMA Journal of Management Mathematics. 27 (2)
2015:
Modelling of psoriasis patient flows for the reconfiguration of secondary care services and treatments:
Kayne Putman,
Alex Anstey,
Paul Harper,
Vincent Knight
-
Health Systems.
2013:
Selfish routing in public services.:
Vincent Knight,
Paul Harper
-
European Journal of Operational Research. 230 (1) 122-132
2013:
Comparisons between observable and unobservable M/M/1 queues with respect to optimal customer behavior:
Rob Shone,
Vincent Knight,
Janet Williams
-
European Journal of Operational Research
2013:
Using Singular Spectrum Analysis to Obtain Staffing Level Requirements in Healthcare.:
Vincent Knight,
Jon Gillard
-
Journal of the Operational Research Society
2012:
Ambulance Allocation for Maximal Survival with Heterogeneous Outcome Measures.:
Vincent Knight,
Paul Harper,
Leanne Smith
-
OMEGA - The International Journal of Management Science. 40 (6) 918--926
2012:
Discrete Conditional Phase-Type Models Utilising Classification Trees: Application to Modelling Health Service Capacities.:
Paul Harper,
Vincent Knight,
Adele Marshall
-
European Journal of Operational Research. 219 (3) 522--530
2012:
Modelling Emergency Medical Services with Phase Type Distributions.:
Vincent Knight,
Paul Harper
-
Health Systems. 1 53-68
2011:
Cost-Effective Workforce Planning: Optimising the Dental Team Skill-Mix for England.:
Paul Harper,
E Kleinman,
Jenny Gallagher,
Vincent Knight
-
Journal of Enterprise Information Management
2011:
Bed Management in a Critical Care Unit.:
Jeff Griffiths,
Vincent Knight,
Izabela Komenda
-
IMA Journal of Management Mathematics.
2011:
On the Peter Principle: An Agent Based Investigation into the Consequential Effects of Social Networks and Behavioural Factors.:
Angelico Fetta,
Paul Harper,
Vincent Knight,
Janet Williams,
Israel Vieira
-
Physica A: Statistical Mechanics and its Applications.
2011:
Modelling Patient Choice in Healthcare Systems: Development and Application of a Discrete Event Simulation with Agent-Based Functionality.:
Vincent Knight,
Janet Williams,
Iain Reynolds
-
Journal of Simulation.
2011:
Operational Research Informing National Health Policy:
Paul Harper,
Vincent Knight,
Israel Vieira,
Janet Williams
-
Cardiff University. ISBN: 978-0-9569158-0-1
2011:
Forecasting Welsh Ambulance Demand using Singular Spectrum Analysis.:
Janet Williams,
Jon Gillard,
Paul Harper,
Vincent Knight
-
In Journal of the Operational Research Society
2010:
Forecasting Welsh Ambulance Demand using Singular Spectrum Analysis.:
Janet Williams,
Jon Gillard,
Paul Harper,
Vincent Knight
-
In Proceedings of the XXXVI International ORAHS Conference
2008:
Higher Spin Alternating Sign Matrices:
Roger Behrend,
Vincent Knight
-
Electronic Journal of Combinatorics.~14(1): R83, 38pp.
Students
Ben Black
(MSc): Empirical investigation of the Ohtsuki-Nowak approximation
(2018 - 2018)
Tara Hussain
(BSc): Further game theoretic modelling of Rhino poaching
(2018 - 2018)
Eleanor Owen
(BSc): Investigating coordinated cooperation games
(2018 - 2018)
Solomon Keedle-Isack
(Summer): Further evolutionary game theoretic modelling of Rhino poaching
(2018 - 2018)
Henry Wilde
(PhD): Costs in healthcare
(2017 - present)
Mansour Hakem
(Nuffield Research Placement): Investigating Axelrod's second tournament
(2017 - 2017)
Toby Devlin
(BSc): Machine learning for optimisation of move sequence
(2017 - 2017)
Will Guo
(Nuffield Research Placement): Investigating Axelrod's second tournament
(2017 - 2017)
Thomas Rodwell
(PhD): Diary planner for healthcare ward
(2017 - present)
Lewis Parsons
(Summer): Building a framework for research excellence framework submission coordination
(2017 - 2017)
Nikoleta Glynatsi
(MSc): The effect of graph topology on the Prisoner's Dilemma
(2016 - 2016)
James Campbell
(BSc): Fingerprinting prisoner's Dilemma strategies
(2016 - 2016)
Cindy Huang
(Nuffield Research Placement): Investigating deadlock in queues with vacation and baulking
(2016 - 2016)
Nikoleta Glynatsi
(PhD): Machine learning and the Prisoner's Dilemma
(2016 - present)
Rhys Ward
(Summer): Building Game Theoretical Software in a Research Environment
(2015 - 2015)
Tobenna Peter Igwe
(Google Summer of Code): Extending Game Theory in Sage
(2015 - 2015)
Ffinian Sullivan
(Nuffield Research Placement): Understanding mixed behaviour in queue balking threshold policies
(2015 - 2015)
James Campbell
(Summer): Building Game Theoretical Software in a Research Environment
(2015 - 2015)
Hannah Lorrimore
(Summer): Building Game Theoretical Software in a Research Environment
(2015 - 2015)
James Campbell
(Summer): Building Game Theoretical Software in a Research Environment
(2014 - 2014)
Geraint Palmer
(PhD): Jackson networks and healthcare
(2014 - present)
Imogen Dunne
(BSc.): The Effect of Personality Traits on Academic Achievement in Flipped versus Traditional Learning Environments
(2014 - 2015)
Rhys Jones
(BSc.): Modelling Rugby Lineout Strategies Using Game Theory
(2013 - 2014)
Jason Young
(MMath): Markov Decision Processes for the study a system of two queues in series.
(2013 - 2014)
Ceri Morse
(BSc.): Modelling Lineout Strategies using Game Theory
(2012 - 2013)
Jason Young
(Summer): Understanding the effect of selfish behaviour in a series of 2 queues
(2012 - 2012)
Chappman Sin
(BSc.): Mathematical modelling of Risk (the board game)
(2011 - 2012)
Iain Reynolds
(Summer): Modelling patient choice in healthcare systems development and application of a discrete event simulation with agent-based functionality
(2011 - 2011)
Rob Shone
(PhD): Individually and Socially Optimal Policies in Queueing Systems with Multiple Heterogeneous Facilities
(2011 - 2014)
Angelico Fetta
(PhD): Agent Based Simulation for Complex Health Systems Interventions
(2011 - 2014)
Rob Shone
(BSc): Queueing models of choice in multi facility networks
(2011 - 2011)
Izabela Komenda
(PhD): Bed management in a critical care unit
(2010 - 2013)
Stuart MacGregor
(BSc.): A study into two player hide and seek games verifying results from game theory using monte carlo simulation, with a particular application to anti-submarine warfare
(2010 - 2011)
Catherine Fortune
(BSc.): Game Theory and the Lemke-Howson algorithm
(2010 - 2011)
Tatjana Timofejeva
(BSc.): Impact of unscheduled care Modelling time varying activities at a Hospital
(2010 - 2011)
Julie Vile
(PhD): Time-dependent stochastic modelling for predicting demand and scheduling of emergency medical services
(2009 - 2012)
Fern Gould
(BSc.): Game Theory and the Iterated Prisoner's Dilemma
(2009 - 2010)
Tamsin Griffiths
(BSc.): Troops to Task Tool and Refugee Estimation
(2009 - 2010)
Leanne Smith
(PhD): Modelling emergency medical vehicle services
(2008 - 2013)
Funding
Cardiff University CUROP Award: Further game theoretic dynamics of Rhino poaching,
£2100, (2018 - 2018)
EPSRC: Identifying and modelling victim, business regulatory and malware behaviours in a changing cyberthreat landscape,
£101659, (2013 - 2016)
Aneurin Bevan Health Board: Creation of a Mathematical/OR Modelling Unit to Support the Aneurin Bevan Health Board,
£319944, (2013 - 2015)
Cardiff and Vale University Health Board: Operational Research Modelling to Support Cardiff and Vale UHB,
£371427, (2013 - 2018)
ESRC: Hate speech? Understanding the modelling of social media identity formation and behaviour through the Cardiff Online Social Media Observatory (COSMOS),
£7015, (2013 - 2016)
Health Foundation and Cardiff and Vale University Health Board: Estimating quality improvement and cost reduction for the patient and local health economy of transferring ENT/audiology services into a community setting,
£61237, (2013 - 2014)
Cardiff University CUROP Award: Developing and Evaluating Mathematical Teaching Resources through Open Source Software,
£2200, (2012 - 2012)
LANCS (EPSRC): Post-Doctoral Training Scheme Grant: Investigating the Effects of Individual Behaviour on Hierarchical queueing Systems,
£5000, (2012 - 2012)
LANCS (EPSRC): Post-Doctoral Training Scheme Grant: Choice and Healthcare Investigation Project,
£2500, (2010 - 2011)
Cardiff University CUROP Award: Patient Choice: A Discrete Event Simulation,
£2500, (2010 - 2012)
Software
Projects
Axelrod:
A Python library/github project that replicates Axelrod's tournament.
Ciw:
A Python library for simulating queueing networks
Conference Scheduler:
A Python library to schedule conferences using integer linear programming
Game Theory in Sage:
A collection of code to continue the integration of Game Theoretic capabilities in to Sage.
Nashpy:
A Python library to find equilibria in 2 player normal form games
Virtual Microscope:
A web application to display and annotate scanned slides.
