Research Article

Discrete Bird Swarm Algorithm Based on Information Entropy Matrix for Traveling Salesman Problem

Table 4

Comparison between DBSA algorithm and HABC [3] algorithm on 39 TSP instances.

NoInstanceOptHABCDBSA
PATimePATime

1Ch15065280.311.860.201.19
2Kroa15026,5240.051.880.021.21
3Krob15026,130-0.011.820.061.21
4Pr15273,6820.001.890.100.87
5U15942,080-0.012.010.00 0.44
6Rat19523230.612.180.321.88
7D19815,7800.272.280.051.80
8Kroa20029,3680.052.40.061.49
9Krob20029,4370.022.310.021.41
10Ts225126,6430.002.780.00 1.11
11Pr22680,3690.002.840.031.72
12Gil26223780.383.420.072.33
13Pr26449,1350.002.850.00 1.29
14Pr29948,1910.113.70.072.67
15Lin31842,0290.263.520.403.10
16Rd400152810.264.980.284.23
17Fl41711,8611.015.610.614.75
18Pr439107,2170.225.680.144.53
19Pcb44250,7780.155.930.334.56
20U57436,9050.378.850.836.05
21Rat57567730.758.830.776.08
22U72441,9100.3313.430.628.82
23Rat78388060.9115.290.768.80
24Pr1002259,0450.7111.190.8312.54
25Pcb117356,8920.7714.670.8814.66
26D129150,8011.6414.320.7916.01
27Rl1323270,1990.515.290.6917.23
28Fl140020,1271.2918.161.7632.46
29D165562,1281.2821.281.0122.31
30Vm1748336,5560.7225.210.6726.19
31U2319234,2560.2625.540.3833.22
32Pcb3038137,6941.0340.420.8445.06
33Fnl4461182,5661.3044.211.1489.86
34Rl5934556,0451.7963.741.09135.28
35Pla739723,260,7281.47108.342.38300.23
36Usa13509199,82,8591.57434.041.84563.02
37Brd14051468,3851.67452.871.54343.29
38D18512645,2381.51816.381.22446.58
39Pla3381066,048,9451.812318.82.261660.20