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This leads to an analytical formulation of the reliability problem.
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Formulation of defining the reliability of active control system based on stability is discussed.
The formulation estimates the reliability index β of triangular beams when subjected to flexural loads, based on their resistance to applied loads (Table 1; Fig. 2).
The formulation allows the estimation of the reliability index β of a T-beam with the neutral axis in the flange when subjected to flexural loads (Table 2; Fig. 3).
Furthermore, owing to the importance of reliability issue, we address the effects of transient faults in our proposed MILP formulation such that the reliability of the whole system incorporating several heterogeneous PEs is guaranteed to be better than a given threshold.
The proposed formulation of the size effect on reliability indices and safety factors is applied to analyze the failure of the Malpasset arch dam.
In this formulation, the reliability of the structural system is represented in network form, allowing the designer to control global behavior of the system as a whole through the selection of a critical pathway through this network.
Perhaps the first formulation of a reliability account of knowing appeared in a brief discussion by F.P. Ramsey (1931), who said that a belief is knowledge if it is true, certain and obtained by a reliable process.
Formulations of the first-order reliability method for evaluating the reliability indexes for this limit state were developed.
The reliability analysis is performed using modern reliability methods, in which the formulation of the limit-state functions is consistent with the underlying design criteria.
There are few papers in the area of inverse formulation of reliability.
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