An Improved Squirrel Search Algorithm for Optimization

Table 16

Results of Wilcoxon’s test for ISSA against other six algorithms for each benchmark function with 10 independent runs and n = 100 ( = 0.05).

Fun	SSA vs ISSA		PSO vs ISSA		CMFOA vs ISSA		IFFO vs ISSA		FOA vs ISSA
	p-value	win	p-value	win	p-value	win	p-value	win	p-value	win
F1	1.0378E-07	+	7.8176E-14	+	1.1254E-06	+	7.3355E-08	+	2.9716E-13	+
F2	4.2836E-05	+	8.2177E-12	+	4.9949E-02	+	2.6382E-03	+	7.2835E-09	+
F3	4.9896E-08	+	7.8338E-35	+	3.5536E-02	+	1.3895E-08	+	1.1550E-12	+
F4	2.3331E-06	+	1.9205E-10	+	2.1416E-04	+	5.2932E-06	+	1.9678E-08	+
F5	1.2600E-10	+	1.2963E-10	+	1.7828E-03	+	1.0868E-05	+	5.0309E-09	+
F6	9.8970E-02	-	5.3354E-10	+	4.7015E-06	+	1.6844E-05	+	6.1888E-10	+
F7	2.2243E-08	+	4.1865E-13	+	8.7771E-07	+	1.3044E-09	+	6.2464E-11	+
F8	2.2556E-10	+	5.3495E-18	+	7.4894E-05	+	7.9906E-11	+	3.1999E-09	+
F9	4.9870E-10	+	2.9549E-01	-	1.0030E-10	+	1.2423E-12	+	3.4344E-01	-
F10	4.6494E-07	+	3.0486E-15	+	1.9111E-07	+	1.5614E-09	+	9.4423E-13	+
F11	1.8990E-02	+	2.2724E-06	+	1.9056E-02	+	2.3614E-02	+	2.9444E-04	+
F12	4.3699E-06	+	1.2600E-22	+	3.2460E-10	+	1.4367E-09	+	6.0050E-05	+
F13	2.4541E-06	+	5.9980E-15	+	1.5823E-06	+	3.1849E-05	+	2.4334E-11	+
F14	6.3858E-07	+	4.5807E-17	+	2.2981E-12	+	1.2864E-09	+	8.6555E-13	+
F15	1.7146E-07	+	2.2593E-17	+	7.0366E-01	-	9.9469E-02	-	5.1238E-16	+
F16	3.9761E-07	+	8.1135E-12	+	4.1494E-03	+	6.2574E-03	+	7.9491E-02	+
F17	1.0397E-02	+	6.7363E-14	+	9.9961E-01	-	8.3209E-01	-	7.9210E-16	+
F18	8.6191E-01	-	1.7179E-15	+	7.9452E-01	-	4.3052E-01	-	1.7688E-13	+
F19	5.9040E-06	+	7.5177E-08	+	3.3686E-03	+	4.6936E-05	+	4.7998E-09	+
F20	9.0127E-04	+	7.2610E-05	+	3.7345E-01	-	1.8813E-01	-	1.3324E-05	+
F21	7.6534E-06	+	2.1239E-17	+	_	=	1.2438E-08	+	1.1562E-13	+
F22	2.6358E-06	+	2.9856E-16	+	_	=	4.4818E-09	+	1.7365E-13	+
F23	3.4130E-03	+	4.6644E-17	+	2.8070E-06	+	7.8756E-06	+	5.9044E-11	+
F24	3.6618E-07	+	1.8577E-15	+	6.0981E-08	+	1.6105E-12	+	4.7301E-10	+
F25	6.4937E-12	+	1.1756E-12	+	5.1565E-01	-	9.2513E-01	-	6.9216E-10	+
F26	5.6291E-10	+	3.6946E-10	+	1.3740E-05	+	1.2241E-05	+	9.4839E-09	+
F27	5.2495E-08	+	1.5615E-10	+	1.8874E-01	-	1.2714E-01	-	1.5781E-13	+
F28	2.6066E-03	+	8.6946E-10	+	7.5687E-04	+	4.3007E-05	+	3.6968E-09	+
F29	8.4514E-07	+	7.1725E-09	+	2.6646E-09	+	8.7814E-05	+	7.1732E-06	+
F30	4.4636E-03	+	3.8618E-09	+	1.5805E-02	+	2.7858E-02	+	1.2999E-09	+
F31	1.3273E-02	+	1.8782E-13	+	5.2897E-01	-	7.8331E-01	-	6.0488E-11	+
F32	3.7345E-01	-	8.6751E-10	+	9.3177E-02	-	6.1812E-03	+	2.0169E-06	+
+/-		29/3		31/1		22/8		25/7		31/1