Mathematical Problems in Engineering

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 .
  PSODEABCHSBALSLS-II
4.05×10−131.30×10−022.44×10−111.50×10−044.48×10004.32×10−044.33×10-32
2.99×10−131.25×10−027.07×10−121.53×10−044.43×10002.17×10−041.02×10-33
5.65×10−134.86×10−034.66×10−111.61×10−058.88×10−016.52×10−049.30×10-32
8.54×10011.54×10007.80×10−077.71×10−013.23×10285.12×10−022.06×10-16
8.94×10015.17×10−027.43×10−077.19×10−014.44×10255.50×10−021.69×10-16
4.95×10013.37×10003.11×10−071.66×10−017.16×10281.71×10−022.13×10-16
3.31×10−172.67×10021.23×10049.86×10002.51×10061.82×10−033.86×10-30
2.30×10−181.12×10021.25×10047.30×10002.71×10061.55×10−031.28×10-31
5.23×10−173.47×10022.57×10035.26×10001.12×10061.38×10−038.39×10-30
2.02×10003.75×10012.15×10018.16×10−013.70×10011.05×10−027.43×10-17
1.61×10003.86×10012.17×10016.57×10−013.80×10011.15×10−025.12×10-17
1.28×10006.43×10004.25×10002.42×10−012.57×10006.63×10−037.49×10-17
7.90×10012.05×10012.48×10019.76×10006.33×10014.27×10022.89×1001
5.87×10011.52×10012.49×10011.02×10016.07×10013.74×10022.90×1001
3.68×10011.22×10011.24×10001.69×10001.52×10012.81×10024.15×10-02
2.40×10006.94×10002.17×10-110.00×10009.23×10035.58×10−026.06×1000
1.00×10003.90×10001.58×10-110.00×10009.53×10035.67×10−025.89×1000
2.41×10007.74×10001.76×10-110.00×10001.95×10031.07×10−025.16×10−01
9.31×10−032.47×10051.07×10−012.96×10015.54×10092.21×10−028.77×10-03
8.91×10−031.32×10051.03×10−013.13×10016.25×10091.90×10−022.18×10-03
9.53×10−034.47×10052.58×10-023.56×10002.17×10091.12×10−029.65×10-03
-9.24×1003-1.16×1004-1.26×1004-1.26×1004-1.89×10199-3.80×1002-3.45×1003
-9.26×1003-1.15×1004-1.26×1004-1.26×1004-3.19×10195-3.69×1002-3.32×1003
4.45×10023.68×10021.35×10024.49×10-026.55×10049.22×10−023.62×10−02
2.82×10−074.17×10012.68×10−011.25×10004.74×10022.69×10−020.00×1000
1.82×10−082.32×10004.12×10−041.28×10002.31×10023.44×10−030.00×1000
5.26×10−078.73×10014.32×10−012.80×10−015.43×10024.00×10−020.00×1000
1.43×10002.84×10001.49×10−055.62×10−021.28×10013.00×10−024.44×10-15
1.50×10002.96×10001.28×10−055.80×10−021.22×10011.73×10−024.44×10-15
3.86×10−017.21×10−019.97×10−065.65×10−031.17×10003.56×10−020.00×1000
1.52×10−021.71×10009.66×10−041.01×10−011.07×10021.42×10−040.00×1000
8.88×10−161.08×10001.32×10−089.57×10−021.14×10021.49×10−050.00×1000
2.10×10−022.01×10003.92×10−032.74×10−022.42×10013.69×10−040.00×1000
8.22×10016.98×10041.23×10-128.20×10012.24×10075.08×10−031.34×1000
8.16×10013.53×10046.46×10-138.22×10012.53×10075.12×10−031.32×1000
4.06×10008.22×10043.09×10-122.64×10007.32×10064.17×10−041.34×10−01
1.02×10025.08×10042.27×10-118.73×10019.92×10061.08×10−013.15×1000
1.00×10029.69×10038.53×10-128.91×10019.08×10061.05×10−013.00×1000
3.77×10007.78×10043.13×10-115.92×10002.53×10061.37×10−022.69×10−01