Quantum Behaved Particle Swarm Optimization with Neighborhood Search for Numerical Optimization

Table 2

Computational results achieved by QPSO, DGQPSO, WQPSO, and NQPSO.

F	QPSO		DGQPSO		WQPSO		NQPSO
	Mean	Std	Mean	Std	Mean	Std	Mean	Std
𝑓1	1.88𝐸−73	2.67𝐸−73	4.98𝐸−75	1.22𝐸−75	1.74𝐸−80	1.50𝐸−80	𝟐.𝟐𝟑𝐄−𝟏𝟔𝟓	𝟎.𝟎𝟎𝐄+𝟎𝟎
𝑓2	2.53𝐸+01	9.89𝐸−02	2.14𝐸+01	3.75𝐸−01	2.13𝐸+01	3.23𝐸−01	𝟏.𝟗𝟐𝐄+𝟎𝟏	𝟒.𝟑𝟐𝐄−𝟎𝟏
𝑓3	1.12𝐸−14	7.52𝐸−15	8.87𝐸−15	1.95𝐸−15	7.69𝐸−15	0.00𝐸+00	𝟓.𝟖𝟗𝐄−𝟏𝟔	𝟎.𝟎𝟎𝐄+𝟎𝟎
𝑓4	2.95𝐸−02	3.26𝐸−02	9.85𝐸−03	2.04𝐸−03	7.39𝐸−03	8.71𝐸−03	𝟎.𝟎𝟎𝐄+𝟎𝟎	𝟎.𝟎𝟎𝐄+𝟎𝟎
𝑓5	𝟎.𝟎𝟎𝐄+𝟎𝟎	𝟎.𝟎𝟎𝐄+𝟎𝟎	𝟎.𝟎𝟎𝐄+𝟎𝟎	𝟎.𝟎𝟎𝐄+𝟎𝟎	𝟎.𝟎𝟎𝐄+𝟎𝟎	𝟎.𝟎𝟎𝐄+𝟎𝟎	𝟎.𝟎𝟎𝐄+𝟎𝟎	𝟎.𝟎𝟎𝐄+𝟎𝟎
𝑓6	9.55𝐸+00	3.19𝐸+00	7.92𝐸+00	2.25𝐸+00	4.71𝐸+00	1.72𝐸+00	𝟎.𝟎𝟎𝐄+𝟎𝟎	𝟎.𝟎𝟎𝐄+𝟎𝟎
𝑓7	2.63𝐸+01	1.46𝐸+01	1.70𝐸+01	1.23𝐸+01	1.55𝐸+01	1.69𝐸+01	𝟏.𝟑𝟏𝐄+𝟎𝟎	𝟐.𝟐𝟕𝐄+𝟎𝟎
𝑓8	7.54𝐸+03	1.13𝐸+03	6.70𝐸+03	1.02𝐸+03	7.12𝐸+03	4.92𝐸+02	𝟑.𝟖𝟎𝐄+𝟎𝟑	𝟗.𝟑𝟕𝐄+𝟎𝟐
𝑓9	1.32𝐸−14	8.25𝐸−15	9.83𝐸−15	1.95𝐸−15	7.69𝐸−15	0.00𝐸+00	𝟓.𝟖𝟗𝐄−𝟏𝟔	𝟎.𝟎𝟎𝐄+𝟎𝟎
𝑓10	7.41𝐸−03	3.31𝐸−03	1.12𝐸−16	2.37𝐸−16	2.24𝐸−16	3.51𝐸−16	𝟎.𝟎𝟎𝐄+𝟎𝟎	𝟎.𝟎𝟎𝐄+𝟎𝟎
𝑓11	3.76𝐸−02	3.09𝐸−02	1.92𝐸−02	2.94𝐸−02	1.09𝐸−05	9.43𝐸−06	𝟎.𝟎𝟎𝐄+𝟎𝟎	𝟎.𝟎𝟎𝐄+𝟎𝟎
𝑓12	3.09𝐸+01	2.42𝐸+01	2.67𝐸+01	1.72𝐸+01	1.36𝐸+01	1.04𝐸+01	𝟎.𝟎𝟎𝐄+𝟎𝟎	𝟎.𝟎𝟎𝐄+𝟎𝟎