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Table 2 A comparison of the lengths of the SCS results obtained by different algorithms on simulated DNA sequences.

From: Towards a better solution to the shortest common supersequence problem: the deposition and reduction algorithm

Sequences Length of CS (averaged over 10 instances)
k n LB ALPHA Ratio TOUR Ratio GRDY Ratio MM Ratio DR Ratio
100 100 158.0 400 2.53 304.6 (15.3) 1.93 303.9 (11.9) 1.92 276.8 (5.5) 1.75 264.5 (6.8) 1.67
500 100 160.6 400 2.49 329.0 (18.2) 2.05 321.6 (9.1) 2.00 286.4 (7.7) 1.78 273.0 (7.1) 1.70
1000 100 161.3 400 2.48 335.4 (19.9) 2.08 329.0 (17.8) 2.04 289.1 (8.2) 1.79 275.6 (6.2) 1.71
5000 100 162.9 400 2.46 339.8 (21.2) 2.09 336.2 (21.2) 2.06 294.8 (10.6) 1.81 279.9 (4.2) 1.72
100 1000 1441.8 4000 2.77 2936.7 (146.6) 2.04 2921.5 (143.4) 2.03 2547.1 (24.7) 1.77 2480.2 (55.5) 1.72
500 1000 1457.6 4000 2.74 3049.6 (150.0) 2.09 3043.6 (145.2) 2.09 2578.0 (23.3) 1.77 2527.2 (52.1) 1.73
1000 1000 1472.3 4000 2.72 3142.3 (176.9) 2.13 3115.5 (173.6) 2.12 2590.9 (26.5) 1.76 2540.0 (47.4) 1.73
5000 1000 1481.6 4000 2.70 3194.5 (221.9) 2.16 3172.8 (199.0) 2.14 2602.1 (25.6) 1.76 2548.3 (39.7) 1.72
  1. The average and standard deviation (in parenthesis) over 10 randomly generated instances are given. The estimated performance ratios are also given for each algorithm.