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Then, we extend this theorem for calculating the interval stress and the deformation distributions, which was only used to determine the supremum and the infimum of the static responses of structures with bounded uncertainties.
The mathematical formulae for calculating the interval violation vectors of a design vector corresponding to various constraint functions are provided.
And then the formula for calculating the interval violation vector for such a constraint will be simplified as Eq. (6).
Then the formula for calculating the interval violation vector of such a constraint should be adjusted as Eq. (4).
Consequently, the formula for calculating the interval violation vector of constraint (g_{i} left( {{varvec{x}},{varvec{U}}} right) le B_{i} = [b_{i}^{L},b_{i}^{R} ]) can be concluded as Eq. (7).
A recent meta-analysis has shown that interobserver relative measurement difference in measuring single tumour burden and calculating the interval change may exceed the 20% cut-off for progression [11].
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This theorem is used to calculate the interval values of the time delay τ at which this system is stable (unstable).
Based on these calculations, an efficient iterative algorithm using the response surface is developed to solve the hybrid reliability model and calculate the interval of the failure probability of the cracked structure.
For each specific design vector, an interval analysis method is applied to calculate the interval of the objective function caused by uncertainty, and whereby the optimization nesting problem can be solved.
The formula to calculate the interval is as follows: I adaptive = v max v × I static (6).
We set the two sources to randomly generate the packets, and we use the Poisson distribution to calculate the interval between the generated packets.
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