Technical Report, Issue 424The School, 1979 - Operations research |
Contents
SERIESPARALLEL SYSTEMS WITH EQUAL | 10 |
TIMEDEPENDENT FAILURE | 92 |
ASYMPTOTIC THEORY FOR LOCAL LOADSHARING Page | 116 |
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Common terms and phrases
A₂ An,i Argon assumed assumptions behaviour Berry-Esseen Theorem Borges broken fibre Brownian Motion bundle failure bution function Composite Materials consecutive fibres cq(t Daniels define distri empirical distribution function equal load-sharing Equation exact probability exists a constant extreme value theory extreme values fails under load Fibre Bundle fibre fails function F H.E. Daniels Harlow Hence improved approximation independent random variables inequality K₁ K₁log K₂ Large Deviations theory Lemma Limit Theorem load-sharing rule matrix Motion with B(0 n¹/² nk nk normal approximation normally distributed number of elements obtain order statistics Phoenix positive constant positive numbers prove Q₂ r-minimal failure sequence rate of convergence relative error satisfied Scop and Argon Section sequence of positive series-parallel model series-parallel system single component strength sufficiently large sum of independent sup{B(y supremum t₁ t₂ tends to infinity Theorem 1.1 U_(t unfailed elements z₂ ΚΕΙ