The sale of spectacles and contact lenses in the old days subsidised the sight test function
, but these sales are now being eroded by the internet.
From tables 3-4, it is stated that the proposed algorithm is an effective and efficient algorithm for solving bench mark test function
and this algorithms also provides more stable results in comparison to other algorithms being compared.
Let us choose now [phi] = [[(1 + [absolute value of [u.sub.n]].sup.m-1] - 1] sgn([u.sub.n]) as a test function
in (16), and we obtain
In order to reduce the influence of random disturbance, the independent operating for each test function
is carried out 10 times.
A multigroup test function
is used for comparison with the IEPSO.
Moreover, the coefficient of power function will change in a certain range for different types of benchmark test functions
. The coefficient h ranges between -1.3 to -1.1 when the benchmark test function
is unimodal function, the coefficient h ranges between -0.8 to -0.5 when the benchmark test function
is multimodal function and the coefficient h ranges between -1.4 to -1.2 when the benchmark test function
is composite function.
From now on, there will be no need to create test groups for each type of device and manually add the test function
for each individual device to the relevant test group.
In Tables 2-4, the algorithm that produced the lowest final function value of a test function
was ranked 1 and for the equal final function values the algorithm utilizing smaller number of function evaluations was ranked 1.
For each test function
, the MFOA method is used to find the optimal solutions at h = [0.1, 0.3, 0.5, 0.7, 0.9, 1, 1.1, 1.3, 1.5, 2] and the algorithm runs for 20 times for each h.
Caption: Figure 2: Graphs of the extended functions [??.sub.L](x) and [??.sub.R](x) with m = 40 for the test function
holds for any test function
[phi] [member of] D([0, T) x [PHI]) and any b such that
If 1 < p < q < [infinity], 1/Q < 1/p-1/q < 2/Q, w [member of] [A.sub.p,q], and Lu [member of] [L.sup.p,p/q] ([w.sup.p], [w.sup.q], G), then there exists c > 0 such that, for any test function
u and every x, z [member of] G, x [not equal to] z,