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Lower and Upper Reliability Bounds for Consecutive-<formula formulatype="inline"><tex Notation="TeX">$k $</tex></formula>-Out-of-<formula formulatype="inline"><tex Notation="TeX">$ n $</tex></formula>:<formula formulatype="inline"><tex Notation="TeX">${\rm F}$</tex></formula> Systems
After a comprehensive review of reliability bounds for consecutive- k-out-of- n: F systems with statistically independent components having the same failure probability q (i.i.d. components), we introduce new classes of lower and upper bounds. Our approach is different from previous ones, and relies on alternating summation as well as on …