Mathematical Problems in Engineering

Research Article

Comparison of Three Different Curves Used in Path Planning Problems Based on Particle Swarm Optimizer

Table 2

Result of Ferguson curve.


Problems		PSO-	PSO-DP	PSO-	DMS-PSO-	DMS-PSO-DP	DMS-PSO-

F1	Mean	15.4745	14.9230	15.8539	14.6720	14.7393	15.0440
	Std.	1.0221	0.3217	0.8098		0.1175	0.1913
	Min	14.6617	14.6565	14.7062	14.6626	14.6532	14.6601
	Max	17.3684	16.3953	17.5340	14.6830	16.3743	16.3967
		1	1	1	—	0	1

F2	Mean	14.6541	14.8765	14.7016	14.6399	14.6550	14.6395
	Std.		0.9416	0.0013
	Min	14.6335	14.6344	14.6415	14.6320	14.6309	14.6245
	Max	14.6787	19.5190	14.8158	14.6481	14.6860	14.6531
		1	1	1	0	1	—

F3	Mean	17.6613	16.8770	15.1573	14.8069	16.3085	15.7254
	Std.	1.0504	1.1620	0.9308	0.0133	0.4618	0.0223
	Min	15.5203	15.5515	14.6219	14.6170	15.9185	15.3465
	Max	19.6494	19.4469	19.7183	15.2238	17.8514	15.9672
		1	1	1	—	1	1

F4	Mean	14.7474	15.4290	14.7654	14.7361	14.7525	14.7364
	Std.		1.0917
	Min	14.7356	14.7337	14.7378	14.7291	14.7373	14.7288
	Max	14.7714	18.3901	14.8401	14.7497	14.7928	14.7488
		0	1	1	—	1	0

F5	Mean	18.9011	17.8758	17.8816	17.7712	17.5169	16.8374
	Std.	19.3752	0.9286	4.7299	4.3717	0.3750	0.7757
	Min	16.4034	16.4773	16.6205	16.4129	16.9094	16.3204
	Max	28.7950	19.3831	26.4327	25.2178	18.6831	17.8547
		1	1	1	1	1	—

F6	Mean	20.4977	17.2938	21.4213	16.7939	17.0746	16.5777
	Std.	21.7799	7.5871	23.4940	5.1557	1.6796	0.3785
	Min	17.4722	15.7391	15.4976	15.2908	15.7525	15.6083
	Max	29.3754	27.9776	29.9679	22.5225	21.5453	17.9068
		1	1	1	0	0	—

F7	Mean	23.5527	17.7175	19.9267	17.3071	18.5039	19.3598
	Std.	27.7538	0.5265	35.7375	15.6542	1.9334	32.9936
	Min	17.8796	16.8212	15.1296	15.0326	16.8277	15.6002
	Max	30.0131	20.5929	29.5523	28.4035	21.4855	30.3578
		1	1	1	—	0	0

F8	Mean	18.9859	15.9555	17.1540	15.4485	15.6366	18.54158
	Std.	8.6686	0.6078	11.4477	0.0218	0.6935	3.5024
	Min	17.4710	15.3587	15.4066	15.1707	15.4429	16.2014
	Max	28.6708	17.9973	28.8277	15.7448	19.6240	26.7133
		1	1	1	—	0	1