Table 1: Summery of simulation results, with maximum number of iterations as a termination criterion.


( ) (2.8863, 1.8233) −2.9035,
−2.9035
multiple
01102.28395 358.3323186.73067
(−0.0207, 0.0140)(3.2044, 3.0378)(5.1149, 5.0934)(2.8765, 1.9518)(2.9504, 3.1789) −2.9495,
−2.8714
0.3895,
−0.1890
0.9782102.23084.8828358.2775183.4958
(0.0.0005)(3.1420, 3.1413)(5.12, 5.12)(2.8864, 1.8234)(3.1455, 3.1368) −2.904,
−2.904
(−0.1989,
−5.8586
1102.28395.0279358.3323186.7290
0.12480.14040.14040.15600.21840.17160.1248
0.14040.15600.14040.17160.23400.18720.2028

the optimal solution with as the global optimal value.
is the solution of the ordinary firefly algorithm.
is the final functional value in the ordinary firefly algorithm.
is the solution of the modified firefly algorithm.
is the final functional value in the modified algorithm.
CPU time for the standard firefly algorithm.
CPU time for the modified firefly algorithm.