Time-Dependent Reliability-Based Design Optimization Utilizing Nonintrusive Polynomial Chaos

Table 4

Comparative results of the variance of the wear depth of the lug along the time axis.

Method	Samples	Variance of the wear depth of the lug
		1 step	500 step	1000 step	1500 step	2000 step
MCS	1000	0.0042	0.0211	0.1501	0.1591	0.1843
2-order PCMLS	15	0.0052	0.0246	0.1349	0.1382	0.1625
Relative error	—	0.2381	0.1659	0.1013	0.1314	0.1183
3-order PCMLS	35	0.0045	0.0205	0.1409	0.1423	0.1677
Relative error	—	0.0714	0.0284	0.0613	0.1056	0.0901