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

Table 3

Failure probability for different ρ and n₁.

ρ	Bounds on failure probability (×10^−2)
	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	1.430	1.430	1.451	1.454	1.472	1.477	1.493	1.500
0.3	1.220	1.320	1.238	1.340	1.256	1.359	1.274	1.378
0.5	0.630	1.180	0.641	1.198	0.652	1.216	0.663	1.234
0.7	0.270	0.960	0.280	0.978	0.290	0.995	0.299	1.012
0.9	0.100	0.580	0.119	0.598	0.136	0.615	0.153	0.631