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The present formulation allows for accurate and efficient solution of time-domain problems.
The proposed method includes a number of improvements formulated to enhance the efficiency and robustness of an existing method proposed by Kurtz and Song, leading to more efficient solutions of time-dependent reliability problems of structural systems with multiple important regions.
If, then -efficient solution, weakly -efficient solution, and properly -efficient solution reduce to efficient solution, weakly efficient solution and properly efficient solution of problem (2.1).
Efficient solution of Equation 28.
Hence, is the efficient solution of (WHD).
Then (x^{ast}) is an efficient solution of (P).
Let x̅εE be a local weak efficient solution of (P).
Let x̅ ∈ E be a weak efficient solution of (P).
Let x ¯ be a normal efficient solution of (MVP).
Hence, x* is a weak efficient solution of (P).
Hence, x ∗ is a weakly efficient solution of (FP).
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