Research Article

A Modified Harmony Search Algorithm for Solving the Dynamic Vehicle Routing Problem with Time Windows

Table 6

The average performance comparison of HSVND and GVNS.

Ratio of refuseAvg. vehicle numberAvg. total distanceAvg. insertion time
HSVNDGVNSHSVNDGVNSHSVNDGVNSHSVNDGVNS

R1902.83 3.3314.43 15.341253.57 1328.744.65 15.89
702.26 2.4214.36 15.311262.20 1340.386.75 12.45
501.67 1.67 14.29 15.331256.42 1340.179.32 12.32
301.16 1.17 14.13 14.961243.40 1312.7314.01 17.21
100.33 0.3314.02 14.731240.66 1296.5922.0916.69

C1900.110.00 10.78 11.37935.06 1092.182.96 8.94
700.110.00 10.80 11.92926.97 1150.274.36 8.51
500.110.00 10.57 11.81901.09 1129.586.88 7.32
300.110.00 10.47 11.81895.69 1081.5210.1910.17
100.110.00 10.50 11.36878.01 986.9916.5014.87

RC1901.04 1.5014.73 15.621511.27 1587.893.12 15.89
700.93 1.2514.61 15.881515.20 1614.434.26 14.72
500.73 0.8814.29 15.511476.00 1579.346.63 14.05
300.46 0.6314.28 15.221470.15 1551.939.64 16.89
100.310.25 13.99 14.251438.48 1474.0914.54 24.52

R2900.00 0.00 4.923.88 1022.271181.316.37 17.05
700.00 0.00 4.874.22 1008.851161.989.83 13.41
500.00 0.00 4.834.49 992.011153.7916.4412.58
300.00 0.00 4.804.77 974.351112.9226.6610.86
100.00 0.00 4.34 5.49972.571054.8245.8110.75

C2900.00 0.00 3.26 3.66634.73749.332.78 17.85
700.00 0.00 3.30 3.71637.30722.453.91 14.91
500.00 0.00 3.31 3.53615.68670.236.32 22.34
300.00 0.00 3.04 3.36610.82670.889.32 35.92
100.00 0.00 3.05 3.53603.39660.9315.20 85.73

RC2900.00 0.00 6.01 8.021165.362032.464.40 29.51
700.00 0.00 6.044.94 1134.001359.186.70 17.18
500.00 0.00 5.855.39 1113.191311.9710.90 12.86
300.00 0.00 5.945.83 1101.981278.6218.2713.54
100.00 0.00 5.29 6.011104.001240.5531.2213.98

Avg.0.41 0.458.84 9.381063.161207.6111.67 17.96