A Convergent Differential Evolution Algorithm with Hidden Adaptation Selection for Engineering Optimization

Table 1

Summary of problems with boundary constrains.

Problem	Description	Dimension	Cur.Best
f01	Parameter estimation for frequency-modulated sound waves	6	0.000000𝐸+00
f02	Lennard-Jones Potential	30	−2.842253𝐸+01
f03	Bifunctional catalyst blend optimal control problem	1	1.151489𝐸−05
f04	Optimal control of a nonlinear stirred tank reactor	1	1.377076𝐸+01
f05	Tersoff potential function minimization problem, Si(B)	30	−3.684537𝐸+01
f06	Tersoff potential function minimization problem, Si(C)	30	−2.916612𝐸+01
f07	Spread spectrum radar polyphase code design	20	5.000000𝐸−01
f10	Circular antenna array design problem	12	−2.184253𝐸+01
f12	Messenger: spacecraft trajectory optimization problem	26	6.710520𝐸+00^∗∗
f13	HaSsini 2: spacecraft trajectory optimization problem	22	8.398688𝐸+00

“Cur.Best” denotes the best function values obtained within 1.5×10⁵ FEs on the CEC 2011 competition.
∗∗Marks the fact that the best value is obtained by the proposed algorithm SaCDEhaS.