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A mathematical analysis of badminton scoring systems (2015)
Book Chapter
Percy, D. (2015). A mathematical analysis of badminton scoring systems. In M. Wright (Ed.), Operational Research Applied to Sports (181-200). Basingstoke: Palgrave Macmillan

The International Badminton Federation recently introduced rule changes to make the game faster and more entertaining, by influencing how players score points and win games. We assess the fairness of both systems by applying combinatorics, probabilit... Read More about A mathematical analysis of badminton scoring systems.

Reliability equivalence factors for a series–parallel system of components with exponentiated Weibull lifetimes (2015)
Journal Article
Alghamdi, S., & Percy, D. (2015). Reliability equivalence factors for a series–parallel system of components with exponentiated Weibull lifetimes. IMA Journal of Management Mathematics, 28(3), 339-358. https://doi.org/10.1093/imaman/dpv001

We study reliability equivalence factors of a system of independent and identical components with exponentiated Weibull lifetimes. The system has n subsystems connected in parallel and subsystem i has m_i components connected in series, i=1,...,n. We... Read More about Reliability equivalence factors for a series–parallel system of components with exponentiated Weibull lifetimes.

Strategy selection and outcome prediction in sport using dynamic learning for stochastic processes (2015)
Journal Article
Percy, D. (2015). Strategy selection and outcome prediction in sport using dynamic learning for stochastic processes. Journal of the Operational Research Society, 66(11), 1840-1849. https://doi.org/10.1057/jors.2014.137

We study reliability equivalence factors of a system of independent and identical components with exponentiated Weibull lifetimes. The system has n subsystems connected in parallel and subsystem i has mi components connected in series, i=1,…,n. We co... Read More about Strategy selection and outcome prediction in sport using dynamic learning for stochastic processes.

Reliability equivalence factors for a series-parallel system assuming an exponentiated weibull distribution (2014)
Book Chapter
Alghamdi, S., & Percy, D. (2014). Reliability equivalence factors for a series-parallel system assuming an exponentiated weibull distribution. In S. Wu (Ed.), Proceedings of 8th IMA International Conference on Modelling in Industrial Maintenance and Reliability. Institute of Mathematics and its Applications

In this study, we discuss the reliability equivalence factors of a series-parallel system with n series subsystems connected in parallel where subsystem i has m(i) independent and identically distributed components. We assume that each component has... Read More about Reliability equivalence factors for a series-parallel system assuming an exponentiated weibull distribution.

The optimal dartboard? (2012)
Journal Article
Percy, D. (2012). The optimal dartboard?. Mathematics today, 48, 268-270

Our challenge is to determine the best arrangement of the numbers 1,2,...,20 on a dartboard. This problem has been tackled before but we consider a new constraint and a different optimality criterion that lead to an original solution.

Generic handicapping for paralympic sports (2012)
Journal Article
Percy, D. (2012). Generic handicapping for paralympic sports. IMA Journal of Management Mathematics, 24(3), 349-361. https://doi.org/10.1093/imaman/dps013

Class handicapping methods enable different classes of athletes to compete on equal terms. Different sports use a variety of algorithms, which are usually based on historical data and subjective opinions. A recent proposal is to use an interactive sh... Read More about Generic handicapping for paralympic sports.

Vector borne infectious disease mapping with stochastic difference equations : an analysis of dengue disease in Malaysia (2012)
Journal Article
Samat, N., & Percy, D. (2012). Vector borne infectious disease mapping with stochastic difference equations : an analysis of dengue disease in Malaysia. Journal of Applied Statistics, 39(9), 2029-2046. https://doi.org/10.1080/02664763.2012.700450

Few publications consider the estimation of relative risk for vector borne infectious diseases. Most of these articles involve exploratory analysis that includes the study of covariates and their effects on disease distribution and the study of geogr... Read More about Vector borne infectious disease mapping with stochastic difference equations : an analysis of dengue disease in Malaysia.

Modelling uncertainty in preventive maintenance scheduling (2012)
Journal Article
Bell, S., & Percy, D. (2012). Modelling uncertainty in preventive maintenance scheduling. Quality and Reliability Engineering International, 28(6), 604-615. https://doi.org/10.1002/qre.1409

In this article we consider the practical implementation of Bayesian methodology in determining the optimal preventive maintenance (PM) interval for a complex repairable system. The behaviour of this system is described using a probabilistic model b... Read More about Modelling uncertainty in preventive maintenance scheduling.

Interactive shrinkage methods for class handicapping (2011)
Journal Article
Percy, D. (2011). Interactive shrinkage methods for class handicapping. IMA Journal of Management Mathematics, 22(2), 139-156

A recent publication identified weaknesses with the current handicapping system for disabled Alpine skiing, suggested minor improvements and tentatively proposed an alternative system. This proposal uses shrinkage methods to allow for varying class s... Read More about Interactive shrinkage methods for class handicapping.

Assessing student teams developing mathematical models applied to business and industrial mathematics (2011)
Journal Article
Chadwick, E., Sandiford, K., & Percy, D. (2011). Assessing student teams developing mathematical models applied to business and industrial mathematics. MSOR Connections, 11(3), 22-24

Using case studies and group work, this project attempted to provide students with experience of business and industrial working practices and also to address the issue of how to solve practical mathematical problems. Students were organised into tea... Read More about Assessing student teams developing mathematical models applied to business and industrial mathematics.

Muscle fatigue in chronic fatigue syndrome/myalgic encephalomyelitis (CFS/ME) and its response to a manual therapeutic approach: A pilot study (2011)
Journal Article
Perrin, R., Richards, J., Pentreath, V., & Percy, D. (2011). Muscle fatigue in chronic fatigue syndrome/myalgic encephalomyelitis (CFS/ME) and its response to a manual therapeutic approach: A pilot study. International Journal of Osteopathic Medicine, 14(3), 96-105. https://doi.org/10.1016/j.ijosm.2010.12.002

Objectives The objective of this study was to evaluate the efficacy of a manual treatment protocol for CFS/ME sufferers. Methods Isometric testing and EMG of the knee extensor muscles were conducted alongside the Profile of Fatigue Related State... Read More about Muscle fatigue in chronic fatigue syndrome/myalgic encephalomyelitis (CFS/ME) and its response to a manual therapeutic approach: A pilot study.

Hybrid intensity models for repairable systems (2010)
Journal Article
Percy, D., Kearney, J., & Kobbacy, K. (2010). Hybrid intensity models for repairable systems. IMA Journal of Management Mathematics, 21, 395-406. https://doi.org/10.1093/imaman/dpn039

In recent years, several authors have proposed mathematical models for complex repairable systems, extending the common assumptions of minimal repairs and renewals. These models all have weaknesses but we believe that modifications of existing model... Read More about Hybrid intensity models for repairable systems.

An analysis of the experiences of radiography and radiotherapy students who are carers at one UK university (2010)
Journal Article
Hussain, Z., Pickering, V., Percy, D., Crane, J., & Bogg, J. (2010). An analysis of the experiences of radiography and radiotherapy students who are carers at one UK university. Radiography, 17(1), 49-54. https://doi.org/10.1016/j.radi.2010.08.006

Purpose: this is a mixed methods study of the experiences and attendance of radiography and radiotherapy students who are carers at one UK university, Undergraduate radiography and radiotherapy programmes are attracting increasing numbers of mature s... Read More about An analysis of the experiences of radiography and radiotherapy students who are carers at one UK university.

Conflict analysis using Bayesian neural networks and generalized linear models (2010)
Journal Article
Iswaran, N., & Percy, D. (2010). Conflict analysis using Bayesian neural networks and generalized linear models. Journal of the Operational Research Society, 61(2), 332-341. https://doi.org/10.1057/jors.2008.183

The study of conflict analysis has recently become more important due to current world events. Despite numerous quantitative analyses on the study of international conflict, the statistical results are often inconsistent with each other. The causes o... Read More about Conflict analysis using Bayesian neural networks and generalized linear models.

Modelling approaches to enhance the quality of forecasting processes (2009)
Journal Article
Aziz, R., & Percy, D. (2009). Modelling approaches to enhance the quality of forecasting processes

The purpose of this paper is to put forward an insight into a mathematical model proposed in concept with the hope that both academicians and practitioners will progress in achieving forecast accuracy. The model explains the use of probability distri... Read More about Modelling approaches to enhance the quality of forecasting processes.

Empirical forecasting practices of a British university (2009)
Journal Article
Aziz, R., Percy, D., & Jusoff, K. (2009). Empirical forecasting practices of a British university. International Journal of Economics and Finance, 1, 212-215

This article is based on a single case study aimed at examining behavioral issues of forecasting, in particular the role and practice of forecasting in a British university settings. Key variables were identified in establishing associations between... Read More about Empirical forecasting practices of a British university.