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The (α, β)-Precise Estimates of MTBF and MTTR: Definition, Calculation, and Observation Time

Title
The (α, β)-Precise Estimates of MTBF and MTTR: Definition, Calculation, and Observation Time
Authors
Alavian, PooyaEun, YongsoonLiu, KangMeerkov, Semyon M.Zhang, Liang
DGIST Authors
Alavian, Pooya; Eun, Yongsoon; Liu, Kang; Meerkov, Semyon M.; Zhang, Liang
Issue Date
2021-07
Citation
IEEE Transactions on Automation Science and Engineering, 18(3), 1469-1477
Type
Article
Article Type
Article
Author Keywords
Critical number of measurementsevaluation of mean time between failures (MTBF) and mean time to repair (MTTR)Industry 4.0Maintenance engineeringManufacturingmanufacturing systemsobservation timeperformance analysisProductionRandom variablesReliabilitysmart manufacturing.Time measurementUpper bound
Keywords
MaintenanceManufactureContinuous improvementsEquipment characteristicsManufacturing equipmentMean time between failuresMean time to repairsProduction systemQuantitative methodReliable estimatesContinuous time systems
ISSN
1545-5955
Abstract
The mean time between failures (MTBF) and mean time to repair (MTTR) of manufacturing equipment (e.g., machines) are used in every quantitative method for production systems performance analysis, continuous improvement, and design. Unfortunately, the literature offers no methods for evaluating the smallest number of up- and downtime measurements necessary and sufficient to calculate reliable estimates of these equipment characteristics. This article is intended to provide such a method. The approach is based on introducing the notion of (α, β)-precise estimates, where α characterizes the estimate's accuracy and β its probability. Using this notion, this article evaluates the critical number, n* (α,β), of up- and downtime measurements necessary and sufficient to calculate (α, β)-precise estimates of MTBF and MTTR. In addition, this article derives a probabilistic upper bound of the observation time required to collect n* (α,β) measurements. IEEE
URI
http://hdl.handle.net/20.500.11750/12839
DOI
10.1109/TASE.2020.3017134
Publisher
Institute of Electrical and Electronics Engineers
Related Researcher
  • Author Eun, Yongsoon DSC Lab(Dynamic Systems and Control Laboratory)
  • Research Interests Resilient control systems; Control systems with nonlinear sensors and actuators; Quasi-linear control systems; Intelligent transportation systems; Networked control systems
Files:
There are no files associated with this item.
Collection:
Department of Electrical Engineering and Computer ScienceDSC Lab(Dynamic Systems and Control Laboratory)1. Journal Articles


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