Research Article

Degree-Constrained -Minimum Spanning Tree Problem

Table 14

Numerical results obtained with Q-learning algorithm for the random and Euclidean instances of Table 8 using d = 2.

#
BestTime (s)Time (s)#Iter

Input graphs with random uniform costs
1132.9234.032455.40147.03116.827292410.61
2321.64309.745203.22347.51101.90630218.04
3820.70520.0310356.83897.52160.04998319.36
41623.851301.4015547.511990.10441.3826392222.55
5123.022003.072173.05137.42155.636459711.70
6265.683073.495346.13307.22442.6018313015.63
7598.202448.1010535.56691.97286.7611571715.67
81818.03720020088.172287.40305.8012663125.81

Input graphs with Euclidean distance costs
1534.9736006193.93426.46170.69119614−20.28
21133.49360011619.78909.0382.0557482−19.80
31417.20360018065.401441.78275.341924371.73
42991.96360033966.222800.73130.9891758−6.39