Journal of Applied Mathematics / 2012 / Article / Tab 6

Research Article

An Elite Decision Making Harmony Search Algorithm for Optimization Problem

Table 6

AE and SD generated by the compared algorithms.

Problem IHS IHS GHS GHS SGHS SGHSEDMHSEDMHS
AE SD AE SD AE SD AE SD

Sphere 1 . 2 7 𝑒 βˆ’ 0 7 1 . 7 9 𝑒 βˆ’ 0 7 1 . 4 1 𝑒 βˆ’ 0 2 2 . 3 6 𝑒 βˆ’ 0 2 5 . 3 0 𝑒 βˆ’ 0 7 1 . 2 7 𝑒 βˆ’ 0 6 1 . 0 7 𝑒 βˆ’ 0 7 1 . 3 1 𝑒 βˆ’ 0 7
Schwefel 4 . 8 3 𝑒 βˆ’ 0 1 7 . 0 6 𝑒 βˆ’ 0 1 2 . 1 1 𝑒 βˆ’ 0 2 3 . 0 1 𝑒 βˆ’ 0 2 7 . 7 0 𝑒 βˆ’ 0 1 1 . 1 5 𝑒 βˆ’ 0 0 7 . 0 3 𝑒 βˆ’ 0 1 1 . 6 1 𝑒 βˆ’ 0 0
Griewank 1 . 1 8 𝑒 βˆ’ 0 1 1 . 8 7 𝑒 βˆ’ 0 1 8 . 8 3 𝑒 βˆ’ 0 2 1 . 5 7 𝑒 βˆ’ 0 1 8 . 0 2 𝑒 βˆ’ 0 3 1 . 0 5 𝑒 βˆ’ 0 2 1 . 0 2 𝑒 βˆ’ 0 2 1 . 5 1 𝑒 βˆ’ 0 2
Rastrigin 9 . 7 2 𝑒 βˆ’ 0 1 1 . 1 8 𝑒 βˆ’ 0 0 1 . 0 9 𝑒 βˆ’ 0 2 2 . 0 5 𝑒 βˆ’ 0 2 1 . 1 2 𝑒 βˆ’ 0 0 1 . 4 3 𝑒 βˆ’ 0 0 1 . 4 8 𝑒 βˆ’ 0 0 1 . 9 3 𝑒 βˆ’ 0 0
Ackley 5 . 1 1 𝑒 βˆ’ 0 1 6 . 0 6 𝑒 βˆ’ 0 1 2 . 0 5 𝑒 βˆ’ 0 2 2 . 8 3 𝑒 βˆ’ 0 2 2 . 1 3 𝑒 βˆ’ 0 1 2 . 9 8 𝑒 βˆ’ 0 1 3 . 3 4 𝑒 βˆ’ 0 1 3 . 8 5 𝑒 βˆ’ 0 1
Rosenbrock 3 . 3 7 𝑒 + 0 1 4 . 0 8 𝑒 + 0 1 6 . 7 7 𝑒 + 0 1 8 . 9 7 𝑒 + 0 1 3 . 4 6 𝑒 + 0 1 3 . 8 0 𝑒 + 0 1 3 . 1 7 𝑒 + 0 1 4 . 0 2 𝑒 + 0 1