Quantum Behaved Particle Swarm Optimization with Neighborhood Search for Numerical Optimization

Table 3

Computational results achieved by NQPSO and other five PSO algorithms.

Problems	CPSO-H	CLPSO	APSO	GOCLPSO	DNSPSO	NQPSO
	Mean	Mean	Mean	Mean	Mean	Mean
𝑓1	1.29𝐸−36	1.23𝐸−13	9.60𝐸−66	3.22𝐸−22	2.88𝐸−95	𝟐.𝟐𝟑𝐄−𝟏𝟔𝟓
𝑓2	𝟏.𝟑𝟕𝐄+𝟎𝟏	2.08𝐸+01	1.83𝐸+01	2.54𝐸+01	1.73𝐸+01	1.92𝐸+01
𝑓3	2.25𝐸−14	1.85𝐸−07	1.09𝐸−14	2.93𝐸−12	𝟓.𝟖𝟗𝐄−𝟏𝟔	𝟓.𝟖𝟗𝐄−𝟏𝟔
𝑓4	1.90𝐸−02	4.37𝐸−09	1.20𝐸−02	𝟎.𝟎𝟎𝐄+𝟎𝟎	𝟎.𝟎𝟎𝐄+𝟎𝟎	𝟎.𝟎𝟎𝐄+𝟎𝟎
𝑓5	4.74𝐸−15	5.62𝐸−07	4.77𝐸−02	1.67𝐸−10	1.79𝐸−13	𝟎.𝟎𝟎𝐄+𝟎𝟎
𝑓6	3.32𝐸+00	1.50𝐸−04	6.27𝐸+00	1.48𝐸+01	𝟎.𝟎𝟎𝐄+𝟎𝟎	𝟎.𝟎𝟎𝐄+𝟎𝟎
𝑓7	6.67𝐸−01	1.93𝐸−03	2.27𝐸+00	1.85𝐸+01	𝟎.𝟎𝟎𝐄+𝟎𝟎	1.31𝐸+00
𝑓8	2.65𝐸+03	3.88𝐸−04	3.74𝐸+02	𝟓.𝟐𝟎𝐄−𝟎𝟒	4.86𝐸+03	3.80𝐸+03
𝑓9	1.82𝐸−01	1.07𝐸−05	1.22𝐸+00	8.86𝐸−12	𝟓.𝟖𝟗𝐄−𝟏𝟔	𝟓.𝟖𝟗𝐄−𝟏𝟔
𝑓10	2.30𝐸−02	6.49𝐸−05	1.38𝐸−02	0.00𝐸+00	𝟎.𝟎𝟎𝐄+𝟎𝟎	𝟎.𝟎𝟎𝐄+𝟎𝟎
𝑓11	8.33𝐸+00	2.99𝐸+00	8.40𝐸+00	5.26𝐸−08	3.72𝐸+01	𝟎.𝟎𝟎𝐄+𝟎𝟎
𝑓12	7.33𝐸+01	5.48𝐸+01	7.09𝐸+01	7.02𝐸+01	𝟎.𝟎𝟎𝐄+𝟎𝟎	𝟎.𝟎𝟎𝐄+𝟎𝟎