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This may be understood in terms of a lower- and upper-level function provisional to the realisation of context.
If it is a conventional GENCO, the upper level objective function is (30), while if it is a wind GENCO, the upper level objective function should be replaced as (31) and (32) instead.
For Example 2, the interval goal is set as (C^{I}=[10,15]) for the upper level objective function, and the weighting factor is set as (theta=0.5) for the lower level objective function.
For Example 3, the interval goal corresponding to the upper level objective function is specified as (C^{I}=[-1,1]), and the weighting factor related to the lower level objective function is chosen as (theta=0.5).
Consider the total number of choices for upper level objective function is (k_j).
This indicates that the obtained interval value of the upper level objective function is superior to the interval goal.
Step 3 Evaluate the fitness value defined by the upper level objective function value for each individual.
From Table 4, it is seen that (gamma=0.9) has great influence on the upper level objective function.
Let (C^{I}=[C^,C^]) be a predetermined target interval corresponding to the upper level objective function.
To elaborate, we find that in achieving the upper level objective function target of 0.28, the M-BLEA saves approximately 65%% in wall-clock time.
Further, Table 1 presents the accuracy achieved by the two algorithms for upper level objective function values, the theoretical optimum being equal to zero in all cases.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com