Reliability Analysis of k-out-of-n Systems of Components with Potentially Brittle Behavior by Universal Generating Function and Linear Programming

Table 8

Failure probability for different ρ and n₁.

ρ	Bounds on failure probability (×10^−3)
	n1 = 0		n1 = 1		n1 = 2		n1 = 3
	Lower bound	Upper bound	Lower bound	Upper bound	Lower bound	Upper bound	Lower bound	Upper bound
0.1	0	0.100	0	0.100	0	0.100	0	0.100
0.3	0	0.400	0	0.405	0	0.410	0	0.414
0.5	0	1.600	0	1.605	0	1.610	0	1.616
0.7	0	4.700	0	4.715	0	4.730	0	4.746
0.9	0	14.400	0	14.430	0	14.460	0	14.491