Condition-based maintenance using hidden semi-Markov models
Applications are now CLOSED
Monitoring machines for the purpose of diagnostics and prognostics commonly referred to as condition-based maintenance (CBM) has the potential to improve efficiency and reduce costs. Diagnostics are used to determine the current health status of a machine/ component where as prognostics predicts the remaining useful life of the machine/component. By obtaining what the current health state of a machine is and then predicting when it will fail should not only save the company money but will also improve efficiency .
The hidden Markov model (HMM) has been used to describe the health states during a components degradation. These models are referred to as a doubly embedded stochastic process as they can be characterised as consisting of a stochastic process which is unobservable and can be inferred from another observable stochastic process. They have a rich mathematical structure however they can be restrictive in terms of the Markov assumption. The Markov property within the HMM can be seem as a possible disadvantage when using the HMM to model real-world situations as it assumes that the time spent within the hidden layer of the HMM follows a geometric distribution. The hidden semi-Markov model (HSMM) relaxes this assumption by allowing a variable duration or sojourn time for each of the hidden states .
This project proposes the investigation and development of HSMM’s within the application area of CBM taking into account non-constant machine use with the aim to increase the accuracy of predicting the remaining useful life and current health state of the component.
 Y. Peng, M. Dong, A prognosis method using age-dependent hidden semi-Markov model for equipment
health prediction, Mechanical Systems and Signal Processing, 25, 2011, 237-252.
 S. Yu, Hidden semi-Markov models, Artificial Intelligence, 174, 2010, 215-243.
The Mathematical Research Centre conducts world-class research in the following areas: Algebra, Analysis, Operator Algebras, Algebraic Topology, Topological Data Analysis, PDEs, Survival Analysis, Bayesian Networks, Data Analytics and Operational Research. It maintains vibrant international links with a large number of researchers around the globe and regularly hosts international conferences and research visitors.
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Information on the research interests and activities of academics in the Mathematical Science Research Centre can be found at https://web.am.qub.ac.uk/wp/msrc/. These interests fit into the themes: Algebra, Analysis, Data Science, Optimization and Operational Research, Partial Differential Equations, Statistics, Topology and Geometry.
Mathematical and statistical skills are in great demand in the economy, particularly the advanced skills developed at the PhD level.
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As well as continuing in research careers, our PhD graduates have also gone on to work in finance, computing, data analysis, management and teaching. Our advisors will be happy to provide further information on the career prospects arising from your chosen research area. Further information on careers can be obtained from the School and the Faculty.
People teaching you
Dr David Barnes
Postgraduate Advisor - Mathematical Sciences Research Centre
Dr Salissou Moutari
Director of Research - Mathematical Sciences Research Centre
Assessment processes for the Research Degree differ from taught degrees. Students will be expected to present drafts of their work at regular intervals to their supervisor who will provide written and oral feedback; a formal assessment process takes place annually.
This Annual Progress Review requires students to present their work in writing and orally to a panel of academics from within the School. Successful completion of this process will allow students to register for the next academic year.
The final assessment of the doctoral degree is both oral and written. Students will submit their thesis to an internal and external examining team who will review the written thesis before inviting the student to orally defend their work at a Viva Voce.
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For information on international qualification equivalents, please check the specific information for your country.
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Evidence of an IELTS* score of 6.0, with not less than 5.5 in any component, or an equivalent qualification acceptable to the University is required. *Taken within the last 2 years.
International students wishing to apply to Queen's University Belfast (and for whom English is not their first language), must be able to demonstrate their proficiency in English in order to benefit fully from their course of study or research. Non-EEA nationals must also satisfy UK Visas and Immigration (UKVI) immigration requirements for English language for visa purposes.
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As a result of the COVID-19 pandemic, we will be offering Academic English and Pre-sessional courses online only from June to September 2020.
|Northern Ireland (NI) 1||£4,500|
|Republic of Ireland (ROI) 2||£4,500|
|England, Scotland or Wales (GB) 1||£4,500|
|EU Other 3||£17,460|
1 EU citizens in the EU Settlement Scheme, with settled or pre-settled status, are expected to be charged the NI or GB tuition fee based on where they are ordinarily resident, however this is provisional and subject to the publication of the Northern Ireland Assembly Student Fees Regulations. Students who are ROI nationals resident in GB are expected to be charged the GB fee, however this is provisional and subject to the publication of the Northern Ireland Assembly student fees Regulations.
2 It is expected that EU students who are ROI nationals resident in ROI will be eligible for NI tuition fees, in line with the Common Travel Agreement arrangements. The tuition fee set out above is provisional and subject to the publication of the Northern Ireland Assembly student fees Regulations.
3 EU Other students (excludes Republic of Ireland nationals living in GB, NI or ROI) are charged tuition fees in line with international fees.
All tuition fees quoted are for the academic year 2021-22, and relate to a single year of study unless stated otherwise. Tuition fees will be subject to an annual inflationary increase, unless explicitly stated otherwise.
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There are no specific additional course costs associated with this programme.
Additional course costs
Depending on the programme of study, there may also be other extra costs which are not covered by tuition fees, which students will need to consider when planning their studies . Students can borrow books and access online learning resources from any Queen's library. If students wish to purchase recommended texts, rather than borrow them from the University Library, prices per text can range from £30 to £100. Students should also budget between £30 to £100 per year for photocopying, memory sticks and printing charges. Students may wish to consider purchasing an electronic device; costs will vary depending on the specification of the model chosen. There are also additional charges for graduation ceremonies, and library fines. In undertaking a research project students may incur costs associated with transport and/or materials, and there will also be additional costs for printing and binding the thesis. There may also be individually tailored research project expenses and students should consult directly with the School for further information.
How do I fund my study?1.PhD Opportunities
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Information on Postgraduate Research scholarships for international students.
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