A die forge press operates an average of 1000 hr/yr. Under a minimal repair concept, machine failures generated a nonhomogenous Poisson process having the following intensity function with t measured in operating hours: p (t) = 0.0000391t 07. When the machine has failed, the repair time is lognormal with tod=7.0 hours and a shape parameter of 0.8. a) Given the NHPP (Non-Homogeneous Poisson Process) time dependent parameter of this problem, p(t), does the system show reliability growth (decreasing rate of occurrence of failure) or aging (increasing rate of occurrence of failure)? b) Write the expression for and calculate the number of expected failures of the press during a mission time of 5 years, 5,000 hr, m(5,000). c) Write the expression for and calculate the MTTR, meantime to repair. Given s = 0.8, comment on the overall shape or skewness, low skew, high skew,- symmetric, of the Lognormal model. d) Write the expression for and calculate the MTBF, mean time between failures, for the mission time of 5 yr = 5,000 hr. e) Using this information over the 5 yr mission time, write the expression for and calculate the average inherent, steady state, Availability, As of the mission time of 5 yr operating life of the press.
A die forge press operates an average of 1000 hr/yr. Under a minimal repair concept, machine failures generated a nonhomogenous Poisson process having the following intensity function with t measured in operating hours: p (t) = 0.0000391t 07. When the machine has failed, the repair time is lognormal with tod=7.0 hours and a shape parameter of 0.8. a) Given the NHPP (Non-Homogeneous Poisson Process) time dependent parameter of this problem, p(t), does the system show reliability growth (decreasing rate of occurrence of failure) or aging (increasing rate of occurrence of failure)? b) Write the expression for and calculate the number of expected failures of the press during a mission time of 5 years, 5,000 hr, m(5,000). c) Write the expression for and calculate the MTTR, meantime to repair. Given s = 0.8, comment on the overall shape or skewness, low skew, high skew,- symmetric, of the Lognormal model. d) Write the expression for and calculate the MTBF, mean time between failures, for the mission time of 5 yr = 5,000 hr. e) Using this information over the 5 yr mission time, write the expression for and calculate the average inherent, steady state, Availability, As of the mission time of 5 yr operating life of the press.
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Transcribed Image Text:6. A die forge press operates an average of 1000 hr/yr. Under a minimal repair concept, machine
failures generated a nonhomogenous Poisson process having the following intensity function
with t measured in operating hours: p (t) = 0.0000391t 0.7. When the machine has failed.
the repair time is lognormal with tmed -7.0 hours and a shape parameter of 0.8.
a) Given the NHPP (Non-Homogeneous Poisson Process) time dependent parameter of this
problem, p(t), does the system show reliability growth (decreasing rate of occurrence of
failure) or aging (increasing rate of occurrence of failure)?
b) Write the expression for and calculate the number of expected failures of the press during a
mission time of 5 years, 5,000 hr, m(5,000).
c) Write the expression for and calculate the MTTR, meantime to repair. Given s = 0.8,
comment on the overall shape or skewness, low skew, high skew, - symmetric, of the
Lognormal model.
d) Write the expression for and calculate the MTBF, mean time between failures, for the
mission time of 5 yr = 5,000 hr.
e) Using this information over the 5 yr mission time, write the expression for and calculate the
average inherent, steady state, Availability, Am of the mission time of 5 yr operating life of
the press.
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