Research Article

A Novel Hybrid Bat Algorithm with Harmony Search for Global Numerical Optimization

Table 2

Properties of benchmark functions; lb denotes lower bound, ub denotes upper bound, and opt denotes optimum point.

No.FunctionlbuboptContinuityModality

F01Ackley−32.76832.7680ContinuousMultimodal
F02Fletcher-Powell π0ContinuousMultimodal
F03Griewank−6006000ContinuousMultimodal
F04Penalty #1−50500ContinuousMultimodal
F05Penalty #2−50500ContinuousMultimodal
F06Quartic with noise −1.281.281ContinuousMultimodal
F07Rastrigin−5.125.120ContinuousMultimodal
F08Rosenbrock−2.0482.0480ContinuousUnimodal
F09Schwefel 2.26−5125120ContinuousMultimodal
F10Schwefel 1.2−1001000ContinuousUnimodal
F11Schwefel 2.22−10100ContinuousUnimodal
F12Schwefel 2.21−1001000ContinuousUnimodal
F13Sphere−5.125.120ContinuousUnimodal
F14Step−5.125.120DiscontinuousUnimodal