Exact reliability quantification of highly reliable systems with maintenance

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dc.contributor.author Briš, Radim
dc.date.accessioned 2010-11-29T07:42:11Z
dc.date.available 2010-11-29T07:42:11Z
dc.date.issued 2010
dc.identifier.citation Reliability engineering & system safety. 2010, vol. 95, issue 12, p. 1286-1292. en
dc.identifier.issn 0951-8320
dc.identifier.uri http://hdl.handle.net/10084/83455
dc.description.abstract When a system is composed of highly reliable elements, exact reliability quantification may be problematic, because computer accuracy is limited. Inaccuracy can be due to different aspects. For example, an error may be made when subtracting two numbers that are very close to each other, or at the process of summation of many very different numbers, etc. The basic objective of this paper is to find a procedure, which eliminates errors made by PC when calculations close to an error limit are executed. Highly reliable system is represented by the use of directed acyclic graph which is composed from terminal nodes, i.e. highly reliable input elements, internal nodes representing subsystems and edges that bind all of these nodes. Three admissible unavailability models of terminal nodes are introduced, including both corrective and preventive maintenance. The algorithm for exact unavailability calculation of terminal nodes is based on merits of a high-performance language for technical computing MATLAB. System unavailability quantification procedure applied to a graph structure, which considers both independent and dependent (i.e. repeatedly occurring) terminal nodes is based on combinatorial principle. This principle requires summation of a lot of very different non-negative numbers, which may be a source of an inaccuracy. That is why another algorithm for exact summation of such numbers is designed in the paper. The summation procedure uses benefits from a special number system with the base represented by the value 232. Computational efficiency of the new computing methodology is compared with advanced simulation software. Various calculations on systems from references are performed to emphasize merits of the methodology. en
dc.language.iso en en
dc.publisher Elsevier en
dc.relation.ispartofseries Reliability engineering & system safety en
dc.relation.uri http://dx.doi.org/10.1016/j.ress.2010.06.004 en
dc.subject exact computing en
dc.subject directed acyclic graph en
dc.subject unavailability quantification en
dc.title Exact reliability quantification of highly reliable systems with maintenance en
dc.type Article en
dc.identifier.location Není ve fondu ÚK en
dc.identifier.doi 10.1016/j.ress.2010.06.004
dc.identifier.wos 000283760000004

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