Combinatorial Clustering Algorithm of Quantum-Behaved Particle Swarm Optimization and Cloud Model

Table 3

Performance comparison among APSO, GDPSO, and COCQPSO.

Functions	APSO			GDPSO
	Average	Success rate	Optimal value	Average	Success rate	Optimal value
Sphere	1.43𝑒−18	100.00	3.99𝑒−29	1.21𝑒−08	100.00	1.08𝑒−25
Rosenbrock	36.0900	95.00	0.0003	25.659	98.00	24.9651
Rastrigrin	65.4700	100.00	0.0000	17.1300	98.00	0.000
Griewank	0.00824	100.00	0.0000	1.80𝑒−03	100.00	0.000
Schaffer	0.99951	98.00	0.0000	6.06𝑒−04	74.00	0.000
Ackley	1.12𝑒−5	100.00	—	—	—	—
Functions	CGA			COCQPSO
	Average	Success rate	Optimal value	Average	Success rate	Optimal value
Sphere	1.4949𝑒−007	100.00	1.3147𝑒−09	1.01𝑒−10	100.00	4.2461𝑒−225
Rosenbrock	25.749𝑒−008	98.00	9.6253𝑒−09	26.4879	98.00	9.0725𝑒−008
Rastrigrin	3.000000	100.00	3.000000	3.000000	100.00	3.000000
Griewank	0.0000	100.00	0.0000	0.0000	100.00	0.0000
Schaffer	−1.031628	100.00	−1.031628	−1.03156	100.00	−1.031601
Ackley	0.998004	100.00	0.998004	3.90𝑒−12	100.00	4.44𝑒−15