Mathematical Methods in Reliability CONDITION MONITORING THINKlab, Maxwell Building, University of Salford Tuesday 16th June 2015 ABSTRACTS Mr Roy Assaf (University of Salford) Autonomous systems for maintenance planning This talk contains details of my research project on autonomous systems for maintenance planning in collaboration with Marel, which supplies integrated systems and standardised individual machines for the meat, fish and poultry industries. Professors Jian-Bo Yang1, Dong-Ling Xu1 & Xiaobin Xu1,2 (1University of Manchester & 2Hangzhou Dianzi University) Evidential reasoning for fault diagnosis of railway systems In this presentation, we introduce the evidential reasoning rule for conjunctive combination of independent evidence and its relationship with Bayes’ rule in statistical inference by examining a real life case study on fault diagnosis in rail track maintenance. In this case study, data is gathered from an operational railway system. This case study is intended to show the whole process of evidential reasoning in real life, from sample data collection and evidence acquisition to the estimation of evidence reliability and weight and the combination of evidence for fault diagnosis. Dr Sabine von Hünerbein (University of Salford) Wind turbine condition monitoring With a growing amount of wind energy being produced from off-shore plants, remote monitoring of wind turbine operation becomes crucial for financial viability. One method of condition monitoring of wind turbine blades is using acoustical beam forming to identify and localise faults such as delamination, residual debris or ice build-up. The talk will report preliminary laboratory results and talk about possible strategies for the acoustics monitoring of wind turbines. Dr Van Phuc Do (Université de Lorraine) Wear rate-state interaction for condition based maintenance This presentation will begin with rate-state wear interactions for multi-component systems. The deterioration speed of a component depends not only on its own state (deterioration level) but also on the state of other ones. Then we will consider maintenance policy models for a two-component system with wear interactions. To select a component/group of components to be preventively maintained, adaptive preventive maintenance and opportunistic maintenance rules are proposed. A cost model is developed to find the optimal value of decision parameters. Professor Frank Coolen (Durham University) On the structure function in system reliability In system reliability, the structure function models the functioning of a system for given states of its components. As such, it is typically a straightforward binary function which plays an essential role in reliability assessment, yet it has received remarkably little attention in its own right. We explore the structure function in more depth, considering in particular whether its generalization can provide useful further tools for reliability assessment in case of uncertainty. The recently introduced concept of survival signature provides a useful summary of the structure function to simplify reliability assessment for systems with many components of multiple types. We also consider how a generalized version of the structure function can be linked to the survival signature. We illustrate the research with several examples involving small systems, and we outline research topics towards implementation to large practical systems and networks and their maintenance. Dr Andrew Brint (University of Sheffield) & Ibrahim Al-Ghraify (Costain) Whole life condition databases for managing utility assets The UK is set to invest £375bn in infrastructure over the next 10 years, and this figure is expected to be maintained or grow over the following 20 years. However, deciding when a group of assets has reached the stage where they need to be refurbished or replaced is often difficult as a detailed life history of the items has not been kept. Therefore databases that have been developed for other purposes are pressed into service. For example, the National Fault and Interruption Reporting System (NAFIRS) is used for electricity distribution systems, while in the USA there is the National Bridge Inventory (NBI) database. Additionally, different types of asset are frequently covered by very different databases. Furthermore, each company records different information and has different definitions of condition, and so it is difficult to decide on national policies and standards. The large sums set to be invested in infrastructure provide both a motivation and an opportunity to specify practical whole life asset databases that will enable sound condition based decisions to be made on refurbishment strategies in the future. Therefore this talk will review the condition and failure information that is available in existing distribution asset management databases, before discussing work on a new comprehensive whole life database for highways. Mr Francisco Arteche (Brunel University) Correlation of pipeline corrosion and coating condition with ECDA survey results This study looks at the key factors affecting external corrosion in underground pipelines. Regression models have been performed in order to understand the underlying factors. It has been found that the corrosion depth is not directly proportional to the coating defect size, and therefore, small indications detected during pipeline survey should not be omitted. Suggestions for improving the analysis of pipeline survey data are discussed and an alternative framework is presented. Dr Mimi Zhang (University of Strathclyde) Maintenance modelling Maintenance can be classified, according to efficiency, into three categories: perfect maintenance, imperfect maintenance and minimal maintenance. To date, the literature on imperfect maintenance is voluminous, and a myriad of models have been developed to treat imperfect maintenance. The all-important problems in imperfect maintenance that still remain widely open are (1) how to give practical grounds for an imperfectmaintenance model, (2) how to evaluate the involved unknown parameters efficiently, and (3) how to test the fit of a real data set to an imperfect-maintenance model. With the foregoing problems as motivation, this work develops an imperfect-maintenance model by taking a physically meaningful approach. For the practical implementation of the imperfect-maintenance model, we advance two methods, called the QMI method and the spacing-likelihood algorithm, to estimate the unknown parameters. The two methods complement each other and are widely applicable. To offer a practical guide for testing fit to the imperfect-maintenance model, this work promotes a bootstrapping approach to approximating the distribution of a test statistic. The attractions and dilemmas of the QMI method and spacing-likelihood algorithm are revealed via a simulated data, and the utility of the imperfect-maintenance model is evidenced via a real data set. Mr Safar Alghamdi (University of Salford) Reliability equivalence using generalized distributions and survival signature We consider improving system reliability (a) a reduction method and (b) three duplication methods: (i) hot duplication; (ii) cold duplication with perfect switching; (iii) cold duplication with imperfect switching. Two measures for comparing system improvements are considered, survival and mean reliability equivalence factors. We apply flexible lifetime distributions to study: (1) simple parallel-series and series-parallel systems; (2) networks and complex systems with multiple types of components. We then derive reliability equivalence factors for any coherent system, with any structure and lifetime distributions, using survival signature and the ReliabilityTheory R package. Numerical examples for simple and complex systems are presented, to illustrate the application of theoretical results and demonstrate the relative benefits of various improvements. We conclude that considerable advances in reliability equivalence testing are made possible by specifying and analysing the survival signature, especially for modelling networks and complex systems.