On One Approach to TSP Structural Stability

Table 1

The comparison of tour costs obtained by CI and by Algorithm 3 for different TSPLIB [19] instances; 𝐷_Opt is the cost of the optimal solution; 𝐷_CI is the cost of the CI-tour; the remaining columns present the values of 𝐷(𝛽)/𝐷_CI (in percent), where 𝛽 is obtained by Algorithm 3 with the correspondent 𝑟 and 𝑚≡10.

Name	𝐷Opt	𝐷CI	𝑟=2	𝑟=3	𝑟=4	𝑟=5	𝑟=6	𝑟=7	𝑟=8
𝑏𝑒𝑟𝑙𝑖𝑛52	7542	9241	102.9	108.7	105.9	97.5	102.3	99.7	100.7
𝑐ℎ150	6528	7729	100.7	95.6	96.7	100.6	104.4	99.7	100
𝑎280	2579	3052	101.1	94.5	102.3	96.2	96.3	98	101.5
𝑟𝑎𝑡575	6779	7693	103	101.9	99.5	99.1	98.5	99	100.3