IEVref:192-05-08ID:
Language:enStatus: Standard
Term: instantaneous failure intensity
Synonym1: failure intensity
[Preferred]
Synonym2:
Synonym3:
Symbol: z(t)
Definition: limit, if it exists, of the quotient of the mean number of failures of a repairable item within time interval (t, t + Δt), by Δt, when Δt tends to zero

z(t)= lim Δt→0+ E[N(t+Δt)−N(t)] Δt MathType@MTEF@5@5@+=feaagCart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLnhiov2DGi1BTfMBaeXatLxBI9gBaerbbjxAHXgarqqtubsr4rNCHbGeaGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaqFn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpeWZqaaeqabiGaciGacaqadmaadaqaaqaaaOqaaiaadQhacaGGOaGaamiDaiaacMcacqGH9aqpdaWfqaqaaiGacYgacaGGPbGaaiyBaaWcbaacceGae8hLdqKaamiDaiabgkziUkaaicdacqGHRaWkaeqaaOWaaSaaaeaacaWGfbGaai4waiaad6eacaGGOaGaamiDaiabgUcaRiab=r5aejaadshacaGGPaGaeyOeI0IaamOtaiaacIcacaWG0bGaaiykaiaac2faaeaacqWFuoarcaWG0baaaaaa@5208@

where N(t) is the number of failures in the time interval (0, t), where E denotes the expectation.

Note 1 to entry: Other terms used for failure intensity are “rate of occurrence of failures”, and “failure frequency”.


Publication date:2015-02
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