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

Table 6

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	0.050	0	0.050	0	0.050	0	0.050
0.3	0	0.295	0	0.298	0	0.301	0	0.304
0.5	0	1.100	0	1.105	0	1.110	0	1.115
0.7	0	3.200	0	3.210	0	3.220	0	3.231
0.9	0	9.500	0	9.515	0	9.531	0	9.547