Mathematical Problems in Engineering

Research Article

Inverse Transient Radiative Analysis in Two-Dimensional Turbid Media by Particle Swarm Optimizations

Table 3

The retrieving results of the optical properties for Case 2 using PSO, SPSO, and DE-PSO of different generations.


Generations	True value [m⁻¹]	Algorithm	Retrieving results [m⁻¹]	Relative errors [%]

10	= =	PSO	(0.9750, 9.3216)	(2.4962, 3.5738)
			(7.4025, 5.9205)	(64.5009, 7.6456)
		SPSO	(0.9803, 8.9818)	(1.9718, 0.2021)
			(5.4861, 0.3347)	(21.9131, 93.9149)
		DE-PSO	(0.9844, 8.8901)	(1.5635, 1.2207)
			(3.3674, 3.7704)	(25.1700, 31.4477)

50	= =	PSO	(0.9790, 9.0331)	(2.1025, 0.3679)
			(6.4496, 7.5222)	(43.3244, 36.7678)
		SPSO	(0.9995, 8.9996)	(0.0478, 0.0040)
			(3.5513, 4.6093)	(21.0814, 16.1946)
		DE-PSO	(1.0021, 9.0036)	(0.2071, 0.0397)
			(3.3049, 4.0275)	(26.5584, 26.7718)

100	= =	PSO	(0.9790, 9.0331)	(2.1025, 0.3679)
			(6.449, 7.5222)	(43.3244, 36.7678)
		SPSO	(0.9998, 8.9995)	(0.0234, 0.0054)
			(3.5119, 4.8832)	(21.9588, 11.2147)
		DE-PSO	(1.0007, 9.0042)	(0.0696, 0.0472)
			(3.6868, 4.8677)	(18.0717, 11.4957)