Research Article

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

Table 5

Failure probability of parallel system of components with potentially brittle behavior.

Pbi
Bounds by RLP bounds method (×10−3)
ρ= 0.1ρ= 0.5ρ= 0.9
Lower boundUpper boundLower boundUpper boundLower boundUpper bound

0.0500.05001.10509.515
0.100.05001.11009.530
0.200.05001.12009.560
0.300.05001.13009.590