修理设备可更换四类可修系统的可靠性分析

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1、AbstractReliabilityofrepairablesystemisveryimportantintheresearchofreliability.Onthebaseoftheexistingresearchharvestofrepairablesystem,thepaperhasextendedsomesystemreliabilityofrepairablemodels,andgivessomesystemreliabilityindexes・Wegivethreerepairablemodelswithreplaceablefacility.Forthe

2、seriesrepairablesystemwithonereplaceablefacilityandarepairmandoingotherwork,itisassumedthatthelifetimedistributionsandthefacilitiesdistributionsareallexponentiallydistributed,andthereplacetimeofthefacilityandtheworktimeoftherepairmanoutsidethesystemareallgenerallydistributed.Fortheseries

3、repairablesystemwithonereplaceablefacilityandcustomerscomein,undertheconditionthatthelifeofeachunit,thelifeofthefacilityareexponentiallydistributed,therepairtimeoftheunit,thereplacetimeofthefacilityandtheworktimeoftherepairmanoutsidethesystemareallgenerallydistributed.Fortheseriesrepaira

4、blesystemwitheachunithastwotypesoffailurandarepairmandoingotherwork,itisassumedthatthelifetimedistributionofeachunit,thelifetimeofthefacilityandthearrivalintervaltimedistributionsofthecustomersareassumedtobeexponentialandtheothertobegeneralcontinuousdistributions.Thethreenewrepairablemod

5、els,someimportantreliabilityindicatesofthesystemandthefacilityareobtainedbyusingapproachofsupplementaryvariablesandmethodofgeneralizedMarkovprogress・ThispaperdiscussesarepairablelinearC(3,2:F)system.Undertheconditionofdifferentrepairment,itisassumedthattheworkingtimeandtherepairtimeofeac

6、hcomponentinthesystemarebothexponentiallydistributed,andonecomponentafterrepairisnotasgoodasnew,otherwisetheothersafterrepairisasgoodasnew.Eachcomponentisclassifiedaseitherakeycompon-engoranordinaryoneaccordingtoitspriorityroletothesystem'srepair.Byusingapproachofsupplementaryvariablesan

7、dthegeometricprocess,someimportantreliabilityindicatesofthesystemareobtained.KeywordsRepairablesystem;Reliablity;Supplementaryvariablemethod;GeneralizedMarkovprogress;Laplace-transform;Availability;Priority摘要IAbstractIll第1章绪论11.1可靠性数学理论的背景11.2可靠性模型的作用31.3几类系统的发展现状41.3.1串联