Research Article

Heuristics for Synthesizing Robust Networks with a Diameter Constraint

Table 2

Comparison of 3-opt, 2-opt, and tabu search heuristic solutions for various problem sizes. Here, the deviation was averaged over ten random instances for each .

 3-opt  2-opt  Tabu
Deviation (%) Time (sec) Deviation (%) Time (sec) Deviation (%) Time (sec)

10 0 0.29 0.00 0.10 0.00 0.77
15 0 3.06 0.01 0.52 1.52 9.36
20 0 16.32 0.27 1.65 1.78 25.58
25 0 60.38 0.60 3.59 1.88 60.19
30 0 274.93 2.07 12.13 3.12 144.92
35 0 480.15 2.02 37.85 2.77 313.20
40 0 1016.99 5.62 57.28 2.48 3470.71
45 0 2309.60 7.10 116.09 5.10 4272.58
50 0 4219.17 1.38 139.99 3.55 6675.32
55 0 6798.34 6.98 350.83 4.90 8654.29
60 0 8974.46 7.97 505.36 6.06 10049.10