Research Article

Modified Biogeography-Based Optimization with Local Search Mechanism

Table 1

Test unctions used in our experimental tests.

Function nameDimensionSearch SpaceOptima

f1Spheren [−100, 100]0
f2Schwefel’s Problem 2.22n 10, 10 0
f3Schwefel’s Problem 1.2n [−100, 100]0
f4Schwefel’s Problem 2.21n [−100, 100]0
f5Rosenbrock functionn [−30, 30]0
f6Step functionn [−100, 100]0
f7Quartic functionn [−1.28, 1.28]0
f8Schwefel functionn [−512, 512]−12569.5
f9Rastrigin functionn [−5.12, 5.12]0
f10Ackley functionn [−32, 32]0
f11Griewank functionn [−600, 600]0
f12Penalized function 1n [−50, 50]0
f13Penalized function 2n [−50, 50]0
F1Shifted sphere functionn [−100, 100]−450
F2Shifted Schwefel’s Problem 1.2n [−100, 100]−450
F3Shifted rotated high conditioned elliptic functionn [−100, 100]−450
F4Shifted Schwefel’s Problem 1.2 with noise in fitnessn [−100, 100]−450
F5Schwefel’s Problem 2.6 with global optimum on boundsn [−30, 30]−310
F6Shifted Rosenbrock’s functionn [−100, 100]390
F7Shifted rotated Griewank’s function without boundsn Initialize in 0, 600 −180
F8Shifted rotated Ackley’s function with global optimum on boundsn [−32, 32]−140
F9Shifted Rastrigin’s functionn [−5.12, 5.12]−330
F10Shifted Rotated Rastrigin’s functionn [−5.12, 5.12]−330
F11Shifted Rotated Weierstrass functionn −600, 600 90
F12Schwefel’s Problem 2.13n [−100, 100]−460
F13Expanded extended Griewank’s plus Rosenbrock’s function (F8F2)n [−50, 50]−130
F14Shifted rotated expanded scaffer’s F6n [−100, 100]−300