In this paper,we analyze the fuzzy reliability of paralleling-series system,focusing on the situation of the early failure mode.The early failure mode of fuzzy reliability mainly obeys the Weibull distribution.Based o...In this paper,we analyze the fuzzy reliability of paralleling-series system,focusing on the situation of the early failure mode.The early failure mode of fuzzy reliability mainly obeys the Weibull distribution.Based on this,we obtain the distribution function,density function,failure function,reliability function and the formula of the mean time to failure.For the paralleling-series system composed of multiple components,C1j,C2j,Cn j…,C nj(j=1,2,…,K),especially whenη=1,mij=m,i=1,…n,j=1,2,…,k,we also obtain the corresponding formulas.Finally,we cite an example to verify the formula and deepen the understanding.展开更多
文摘In this paper,we analyze the fuzzy reliability of paralleling-series system,focusing on the situation of the early failure mode.The early failure mode of fuzzy reliability mainly obeys the Weibull distribution.Based on this,we obtain the distribution function,density function,failure function,reliability function and the formula of the mean time to failure.For the paralleling-series system composed of multiple components,C1j,C2j,Cn j…,C nj(j=1,2,…,K),especially whenη=1,mij=m,i=1,…n,j=1,2,…,k,we also obtain the corresponding formulas.Finally,we cite an example to verify the formula and deepen the understanding.
