Modelling, Risk and Design for Reliability

About us

We conduct world-leading research in mathematical modelling in engineering. Members of the group have strong experience in:

  • Probability and statistics
  • Data analysis and the application of topological methods to data analysis
  • Modelling based on algebraic inequalities
  • Monte Carlo simulation and queuing theory
  • Control and Automation
  • Operations research
  • Design for reliability.
  • Renewable energy systems and storage
  • Advanced solar thermal systems
  • Thermal management of battery packs
  • Applications of abstract algebra
  • Artificial Intelligence

Abstract image - signal representing time series

Membership

Staff

Name Role Email
Dr Aydin Azizi Senior Lecturer aydin.azizi@brookes.ac.uk
Dr Eleni Elia Senior Lecturer in Statistics eelia@brookes.ac.uk
Paul Henshall Lecturer in Mathematical Sciences phenshall@brookes.ac.uk
Dr James Maunder Lecturer in Mathematics jmaunder@brookes.ac.uk
Professor Michael Todinov Professor in Mechanical Engineering mtodinov@brookes.ac.uk

Research areas

  • Advanced statistical modelling involving medical data and engineering data

  • Generating new knowledge and optimising systems/processes using algebraic inequalities
  • Scheduling using queuing theory
  • Artificial Intelligence and Simulation Techniques; Monte Carlo simulation
  • Modelling repairable flow networks and stochastic networks
  • Control and Automation; Control and optimising complex systems
  • Methods for improving reliability and reducing risk by using domain-independent methods
  • Renewable energy systems and storage
  • Statistical Genetics, Unsupervised learning, Evidence synthesis
  • Advanced solar thermal systems
  • Thermal management of battery packs
  • The application of topological methods to data analysis
  • Applications of abstract algebra
3 dimension graph of a two-variable mathematical function

Published research monographs

Risk and Uncertainty Reduction by Using Algebraic Inequalities

Covers the application of algebraic inequalities for reliability improvement and for risk and uncertainty reduction. Algebraic inequalities present a new generation, highly effective tool for dealing with deep uncertainty related to key parameters of systems and processes. They permit meaningful interpretation and inference of new knowledge and unknown properties related to real physical systems and processes. The method of algebraic inequalities transcends engineering and can be used in diverse domains of human activity.

Cover of the book "Risk and Uncertainty Reduction by Using Algebraic Inequalities"

Flow Networks

Develops the theory, algorithms and applications related to repairable flow networks and networks with disturbed flows. The results presented in the book lay the foundations of a new generation of ultra-fast algorithms for optimising the flow in networks after failures or congestion, and the high computational speed creates the possibility of optimal control of very large and complex networks in real time. 

Furthermore, the possibility for re-optimising the network flows in real time increases significantly the yield from real production networks and reduces to a minimum the flow disruption caused by failures.The potential application of repairable flow networks reaches across many large and complex systems, including active power networks, telecommunication networks, oil and gas production networks, transportation networks, water supply networks, emergency evacuation networks, and supply networks.

Cover of the book "Flow Networks"

Methods for Reliability Improvement and Risk Reduction

Introduces a new generation, domain-independent reliability improvement and risk reducing methods applicable in any area of human activity. Among these are the methods of separation, segmentation, self-reinforcement, inversion, permutation, substitution and comparative methods based on algebraic inequalities.

The domain-independent methods for reliability improvement and risk reduction do not rely on past failure data or knowledge of the failure mechanisms underlying the failure modes. Using the proven methods in the book, any company can greatly enhance the reliability of its products and operations.

Cover of the book "Methods for Reliability Improvement and Risk Reduction"

Images Credits:

  • Banner image Courtesy of the Federal Highway Administration