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Professor Jeff Griffiths

Overview

person name Position: Professor Email: griffiths@cardiff.ac.uk
Telephone: +44(0)29 208 74202
Fax: +44(0)29 208 74199
Extension: 74202
Location: M/0.31

Research Group

Operational Research

Research Interests

Queueing Theory

Discrete Event Simulation

Healthcare Modelling

Epidemiology

Transport Modelling

Recent Significant Publications

Griffiths J D, Price-Lloyd N, Smithies M and Williams J E, A Queueing Model of Activities in an Intensive Care Unit, IMA J. of Management Mathematics, 2006, 277-288, 17 (3).

Griffiths J D, Leonenko G and Williams J E, The transient solution to M/Ek/1 queue, Operations Research Letters, 2006, 349-354, 34 (3).

Griffiths J D, Cascades of Queues, J. of the Operational Research Society, 2006, 711-717, 57 (6).

Griffiths J D, Lawson Z and Williams J E, Modelling treatment effects in the HIV/AIDS epidemic, J. of the Operational Research Society, 2006, 1413-1424, 57 (12).

Teaching

MA0360 Queueing Theory and Stock Control

Currently, I teach a final year module in Queueing Theory and Stock Control, but over the years I have lectured on all topics in the Operational Research portfolio.

Personal Website

Professor Jeff Griffiths' Personnal Website

Publications

From 1991 onwards

J D Griffiths and J G Hunt, Vehicle Headways in Urban Areas, Traffic Engineering & Control (1991), 458-462.

J G Hunt, J D Griffiths, T S Moses and S Y Yousif, A Study of Traffic Capacity Through the Various Features of Motorway Roadworks, Contractor Report 283, partment of Transport (1991) ISSN 0266-7045.

J D Griffiths (Editor), Mathematics in Transport Planning and Control, Oxford University Press (1992), ppxiv + 463 ISBN 0-19-853650-X.

J D Griffiths and J E Williams, Identification of Some Important Factors in Modelling the Spread of AIDS, AIDS  Impact Assessment: Modelling and Scenario Analysis, (Jager and Ruitenberg, eds), Elsevier Science Publishers B.V. (1992) 103-115.

J D Griffiths, W Holland and J E Williams, The Gatwick Rapid Transit Systems, Mathematics in Transport Planning and Control, Oxford University Press (1992) 217-230.

J G Hunt and J D Griffiths, The Development of a Simulation Model to Evaluate Operating Strategies, Mathematics in Transport Planning and Control, Oxford University Press (1992) 265-275.

J D Griffiths and J E Williams, How Should We Deal with the AIDS Epidemic in Europe and USA?, Applied Stochastic Models and Data Analysis (1993), 317-329.

J D Griffiths and J E Williams, Charting the AIDS Epidemic in the UK, Operational Research Society Publication (1994) 3-6 ISBN 093440-10-5.

J D Griffiths, Queueing at the Suez Canal, Journal of the Operational Research Society (1995) 46, 1299-1309.

J D Griffiths, The Coefficient of Variation of Queue Size for Heavy Traffic, Journal of the Operational Research Society (1996) 47, 1071-1076.

T G Weale, A M Cohen and J D Griffiths, On Certain Constants in the Series for Bessel Functions, Int. Journal Math. Educ. Sci. Technol. (1996), vol 27, no. 5, 731-739.

J D Griffiths, Relief Service Queues, Mathematics in Transport Planning and Control, Pergamon (1998) 361-370.

J D Griffiths (Ed), Mathematics in Transport Planning and Control, Pergamon (1998), ppviii + 419 ISBN 0-08-043430-4.

J D Griffiths, W. Holland, A Time-Dependent Approximation for the Queue M/M(1,s)c, IMA Journal of Mathematics in Business & Industry (1999) 10, 213-223

J D Griffiths, J Williams and D Lowrie, An Age-Structured Model for the AIDS Epidemic, European Journal of Operational Research (2000) 124 (1), 1-14, ISSN 0377-2217

J D Griffiths, T. England and J. Williams, Analytic solutions to compartmental models of the HIV/AIDS epidemic, IMA Journal of Mathematics Applied in Medicine and Biology (2000) 17, 295-310

P C McEwan, J Peters, C J Currie, P Hopkinson, J D Griffiths and J E Williams, The unreliability of Framingham risk equations in predicting coronary heart disease (CHD) events in diabetes, Diabetes 49: 772, Suppl. 1 (2000)

P C McEwan, J Peters, C J Currie, P Hopkinson, J D Griffiths and J E Williams, Association between forms of macro-vascular disease in diabetes and patterns of modifiable risk factors, Diabetes 49: 1635, Suppl. 1 (2000)

K T Rajan, J D Griffiths, J E Williams, N Price-Lloyd, Osteoporosis: Treatment with etidronate and alendronate-comparative study on bone mineral density and fracture, Bone 32 (5) (2003)

P C McEwan, J D Griffiths, J E Williams, A Bagust, J R Peters, P Hopkinson and C J Currie, Evaluating the Performance of the Framingham Risk Equations in a Population with Diabetes.  Diabetic  Med.  21, 318-323  (2004)

J D Griffiths, N Price-Lloyd, M Smithies and J E Williams, Modelling the requirement for supplementary nurses in an intensive care unit.  Journal of the Operational Research Society 56, 126-133 (2005)

J D Griffiths, N Price-Lloyd, M Smithies, J Williams, A Queueing Model of Activities in an Intensive Care Unit.  IMA Journal of Management Mathematics 17, 277-288 (2006).

J D Griffiths, Cascades of Queues. Journal of Operational Research Society  57, 711-717 (2006).

J D Griffiths, G M Leonenko, J E Williams, The Transient Solution to  queue. Operations Research Letters 34 349-354 (2006).

J D Griffiths, G M Leonenko, J E Williams, Generalization of the modified Bessel Function and its Generating Function. Fractional Calculus and Applied Analysis 8 No. 3, 267-276 (2005).

J D Griffiths, Z Lawson, J E Williams, Modelling treatment effects in the HIV/AIDS epidemic.  Journal of Operational Research Society 57, 1413-1424 (2006).

J D Griffiths, G M Leonenko, J E Williams, Time-dependent analysis of non-empty  queue.  Accepted for publication in Quality Technology and Quantitative Management (QTQM) (2007).

J D Griffiths, R Evans, G Elwyn, A Edwards, R Newcombe, P Kinnersley, P Wright, J Austoker, R Grol, A randomised controlled trial of the effects of a web-based PSA decision aid, Prosdex Protocol.  BMC Family Practice 2007, 8.58 – doi:10.1186/1471-2296-8-58.

Research

Research Interests

Queueing Theory

Discrete Event Simulation

Healthcare Modelling

Epidemiology

Transport Modelling

 

Research Activities

I head the Operational Research/Statistics Group within the School of Mathematics. Some current and recent projects include:

Investigation of risk factors associated with diabetes mellitus (GlaxoSmithKline);

Study of treatment effects for HIV/AIDS (EU);

Macro-vascular disease in diabetes patients;

Age effects in patients with HIV/AIDS;

Intensive Care and High Dependency facilities in a large Teaching Hospital (NHS);

Comparison of treatments for osteoporosis (Royal Glamorgan Hospital);

Methicillin Resistant Staphylococcus Aureus and Methicillin Sensitive Staphylococcus Aureus mortality comparisons (NHS);

Diagnosis of bone mineral density disease (Royal Glamorgan Hospital);

Modelling waiting times and waiting lists in National Health Service hospitals in Wales (Welsh Assembly Government)

Modelling Hospital Operating Theatre Performance (NHS)

Postgraduate Students

Over the last ten years I have supervised the following PhD students:

Jack Baber

Mari Jones

Cheryl Voake

Zoe Lawson

Ganna Leonenko

Naomi Price-Lloyd

Dawn Lowrie

Emma Snary

Rachael Salmon

Phil McEwan

Tracey England

Biography

Jeff Griffiths has been a member of staff at Cardiff University since 1964 and was Head of the School of Mathematics for most of the period from 1983 to 2006. He was appointed Dean of the Science Faculty in 1991.

Professor Griffiths’s PhD is in Stochastic Processes, and he first became interested in Epidemiology and Healthcare when investigating the world-wide eradication of smallpox in the late 1960s and early 1970s. Since that time he has undertaken a large number of consultancies and contracts with government establishments and with a variety of public and private companies, including GlaxoWellcome (GlaxoSmithKline), University Hospital of Wales, National Health Service, and the Welsh Assembly Government. He has also worked extensively in the field of transport, with particular reference to congestion problems, and has held consultancies with BP Oil Ltd, Department of Transport, British Steel, Welsh Office, Maunsell Consultancy Services, Suez Canal Authority, Transport Research Laboratory, etc. He has worked in many parts of the world including Europe, USA, Canada, Africa, Middle East, Far East, Australia, and New Zealand.  Dr Griffiths has received grants and awards totalling over M£1. He has been an invited speaker at a large number of conferences both in the UK and overseas, and has organised several international conferences. He is the author of over 100 publications and reports. He has appeared in expert capacity in several television and radio programmes, and as an expert witness in High Court actions.

Professor Griffiths has been awarded a number of Research Council grants, and has received financial support from the European Union and World Health Organisation for his work on modelling the spread of HIV/AIDS. From 1987 - 1997 he was UK representative on the EU Concerted Action to investigate the control and spread of HIV/AIDS in Europe. This project involved about 70 researchers, with representatives from all EU countries, plus invited guests from USA. He has lectured widely on HIV/AIDS, particularly in USA, and was the lead speaker at the Baltic Operational Research Conference held in Vilnius, Lithuania in 2003.   In 2008 Professor Griffiths was awarded an EPSRC Science and Innovation grant (LANCS Initiative) in conjunction with the Universities of Lancaster, Nottingham, and Southampton.  Cardiff’s share of this grant was approximately £1.3 million.

Dr Griffiths heads the Healthcare  Research Cluster of the LANCS Initiative. (Current and recent projects include:

Investigation of risk factors associated with diabetes mellitis;

Study of treatment effects for HIV/AIDS;

Macro-vascular disease in diabetes patients;

Age effects in patients with HIV/AIDS;

Intensive Care and High Dependency facilities in a large Teaching Hospital;

Comparison of treatments for osteoporosis;

Methicillin Resistant Staphylococcus Aureus and Methicillin Sensitive Staphylococcus Aureus mortality comparisons;

Diagnosis of bone mineral density disease;

Modelling waiting times and waiting lists in National Health Service hospitals in Wales.

Modelling treatments regimes in a rehabilitation hospital.

Modelling hip-fracture facilities in a teaching hospital.