Complexity

Research Article

Chaotic Fruit Fly Algorithm for Solving Engineering Design Problems

Table 5

The results of Wilcoxon′s signed-rank test for the 25 CEC′2005 benchmark functions.


Test Statistics		Ranks
Test Statistics				N	Mean Rank	Sum of Ranks

SaDE – CFFA		R⁻	3^a	7.00	21.00	a. SaDE < CFFA
Z	−3.807^ab	R⁺	22^b	13.82	304.00	b. SaDE > CFFA
Asymp. Sig. (2-Tailed)	0.000	Ties	0^c			c. SaDE = CFFA
ab. Based on negative ranks.		Total	25
DE-Exp - CFFA		R⁻	7^d	10.29	72.00	d. DE-Exp < CFFA
Z	−2.435^ab	R⁺	18^e	14.06	253.00	e. DE-Exp > CFFA
Asymp. Sig. (2-Tailed)	0.015	Ties	0^f			f. DE-Exp = CFFA
ab. Based on negative ranks.		Total	25
DE-Bin - CFFA		R⁻	4^g	7.00	28.00	g. DE-Bin < CFFA
Z	−3.619^ab	R⁺	21^h	14.14		h. DE-Bin > CFFA
Asymp. Sig. (2-Tailed)	0.000	Ties	0ⁱ			i. DE-Bin = CFFA
ab. Based on negative ranks.		Total	25
SS-Arit - CFFA		R⁻	3^j	6.00	18.00	j. SS-Arit < CFFA
Z	−3.888^ab	R⁺	22^k	13.95	307.00	k. SS-Arit > CFFA
Asymp. Sig. (2-Tailed)	0.000	Ties	0^l			l. SS-Arit = CFFA
ab. Based on negative ranks.		Total	25
SS-BLX - CFFA		R⁻	2^m	6.00	12.00	m. SS-BLX < CFFA
Z	−4.049^ab	R⁺	23ⁿ	13.61	313.00	n. SS-BLX > CFFA
Asymp. Sig. (2-Tailed)	0.000	Ties	0⁰			o. SS-BLX = CFFA
ab. Based on negative ranks.		Total	25
SSGA - CFFA		R⁻	1^p	6.00	6.00	p. SSGA < CFFA
Z	−4.211^ab	R⁺	24^q	13.29	319.00	q. SSGA > CFFA
Asymp. Sig. (2-Tailed)	0.000	Ties	0^r			r. SSGA = CFFA
ab. Based on negative ranks.		Total	25
CHC - CFFA		R⁻	3^s	3.67	11.00	s. CHC < CFFA
Z	−4.076^ab	R⁺	22^t	14.27	314.00	t. CHC > CFFA
Asymp. Sig. (2-Tailed)	0.000	Ties	0^u			u. CHC = CFFA
ab. Based on negative ranks.		Total	25
IPOP-CMA-ES - CFFA		R⁻	4^v	4.25	17.00	v. IPOP-CMA-ES < CFFA
Z	−3.680^ab	R⁺	19^w	13.63	259.00	w. IPOP-CMA-ES > CFFA
Asymp. Sig. (2-Tailed)	0.000	Ties	2^x			x. IPOP-CMA-ES = CFFA
ab. Based on negative ranks.		Total	25
PSO - CFFA		R⁻	0^y	0.00	0.00	y. PSO < CFFA
Z	−4.372^ab	R⁺	25^z	13.00	325.00	z. PSO > CFFA
Asymp. Sig. (2-Tailed)	0.000	Ties	0^aa			aa. PSO = CFFA
ab. Based on negative ranks.		Total	25