Mathematical Problems in Engineering / 2018 / Article / Tab 1 / Research Article
Ls-II: An Improved Locust Search Algorithm for Solving Optimization Problems Table 1 Minimization results for the benchmark test functions illustrated in Appendix
A operated in 30 dimensions. Results were averaged from 30 individual runs, each by considering population size of
and maximum number of iterations
. PSO DE ABC HS BA LS LS-II 4.05×10−13 1.30×10−02 2.44×10−11 1.50×10−04 4.48×1000 4.32×10−04 4.33×10 -32 2.99×10−13 1.25×10−02 7.07×10−12 1.53×10−04 4.43×1000 2.17×10−04 1.02×10 -33 5.65×10−13 4.86×10−03 4.66×10−11 1.61×10−05 8.88×10−01 6.52×10−04 9.30×10 -32 8.54×1001 1.54×1000 7.80×10−07 7.71×10−01 3.23×1028 5.12×10−02 2.06×10 -16 8.94×1001 5.17×10−02 7.43×10−07 7.19×10−01 4.44×1025 5.50×10−02 1.69×10 -16 4.95×1001 3.37×1000 3.11×10−07 1.66×10−01 7.16×1028 1.71×10−02 2.13×10 -16 3.31×10−17 2.67×1002 1.23×1004 9.86×1000 2.51×1006 1.82×10−03 3.86×10 -30 2.30×10−18 1.12×1002 1.25×1004 7.30×1000 2.71×1006 1.55×10−03 1.28×10 -31 5.23×10−17 3.47×1002 2.57×1003 5.26×1000 1.12×1006 1.38×10−03 8.39×10 -30 2.02×1000 3.75×1001 2.15×1001 8.16×10−01 3.70×1001 1.05×10−02 7.43×10 -17 1.61×1000 3.86×1001 2.17×1001 6.57×10−01 3.80×1001 1.15×10−02 5.12×10 -17 1.28×1000 6.43×1000 4.25×1000 2.42×10−01 2.57×1000 6.63×10−03 7.49×10 -17 7.90×1001 2.05×1001 2.48×10 01 9.76×1000 6.33×1001 4.27×1002 2.89×1001 5.87×1001 1.52×1001 2.49×10 01 1.02×1001 6.07×1001 3.74×1002 2.90×1001 3.68×1001 1.22×1001 1.24×1000 1.69×1000 1.52×1001 2.81×1002 4.15×10 -02 2.40×1000 6.94×1000 2.17×10 -11 0.00×1000 9.23×1003 5.58×10−02 6.06×1000 1.00×1000 3.90×1000 1.58×10 -11 0.00×1000 9.53×1003 5.67×10−02 5.89×1000 2.41×1000 7.74×1000 1.76×10 -11 0.00×1000 1.95×1003 1.07×10−02 5.16×10−01 9.31×10−03 2.47×1005 1.07×10−01 2.96×1001 5.54×1009 2.21×10−02 8.77×10 -03 8.91×10−03 1.32×1005 1.03×10−01 3.13×1001 6.25×1009 1.90×10−02 2.18×10 -03 9.53×10−03 4.47×1005 2.58×10-02 3.56×1000 2.17×1009 1.12×10−02 9.65×10 -03 -9.24×1003 -1.16×1004 -1.26×1004 -1.26×10 04 -1.89×10199 -3.80×1002 -3.45×1003 -9.26×1003 -1.15×1004 -1.26×1004 -1.26×10 04 -3.19×10195 -3.69×1002 -3.32×1003 4.45×1002 3.68×1002 1.35×1002 4.49×10 -02 6.55×1004 9.22×10−02 3.62×10−02 2.82×10−07 4.17×1001 2.68×10−01 1.25×1000 4.74×1002 2.69×10−02 0.00×10 00 1.82×10−08 2.32×1000 4.12×10−04 1.28×1000 2.31×1002 3.44×10−03 0.00×10 00 5.26×10−07 8.73×1001 4.32×10−01 2.80×10−01 5.43×1002 4.00×10−02 0.00×10 00 1.43×1000 2.84×1000 1.49×10−05 5.62×10−02 1.28×1001 3.00×10−02 4.44×10 -15 1.50×1000 2.96×1000 1.28×10−05 5.80×10−02 1.22×1001 1.73×10−02 4.44×10 -15 3.86×10−01 7.21×10−01 9.97×10−06 5.65×10−03 1.17×1000 3.56×10−02 0.00×10 00 1.52×10−02 1.71×1000 9.66×10−04 1.01×10−01 1.07×1002 1.42×10−04 0.00×10 00 8.88×10−16 1.08×1000 1.32×10−08 9.57×10−02 1.14×1002 1.49×10−05 0.00×10 00 2.10×10−02 2.01×1000 3.92×10−03 2.74×10−02 2.42×1001 3.69×10−04 0.00×10 00 8.22×1001 6.98×1004 1.23×10 -12 8.20×1001 2.24×1007 5.08×10−03 1.34×1000 8.16×1001 3.53×1004 6.46×10 -13 8.22×1001 2.53×1007 5.12×10−03 1.32×1000 4.06×1000 8.22×1004 3.09×10 -12 2.64×1000 7.32×1006 4.17×10−04 1.34×10−01 1.02×1002 5.08×1004 2.27×10 -11 8.73×1001 9.92×1006 1.08×10−01 3.15×1000 1.00×1002 9.69×1003 8.53×10 -12 8.91×1001 9.08×1006 1.05×10−01 3.00×1000 3.77×1000 7.78×1004 3.13×10 -11 5.92×1000 2.53×1006 1.37×10−02 2.69×10−01