Theory and Modern Applications
Table 3 MAUBs h for different μ (Example 3)
Delay sets | Methods∖μ | 0.1 | 0.2 | 0.5 | 0.8 | NoVs |
|---|---|---|---|---|---|---|
\(\mathcal{H}_{1}\) | [34] (Th. 1) | 4.753 | 3.873 | 2.429 | 2.183 | \(27n^{2}+4n\) |
[24] (Th. 2 C2.) | 4.714 | 3.855 | 2.608 | 2.375 | \(23n^{2}+4n\) | |
[23] (Th. 1) | 4.788 | 4.065 | 3.055 | 2.615 | \(65n^{2}+11n\) | |
[26] (Th. 2 C2.) | 4.809 | 4.091 | 3.109 | 2.710 | \(25n^{2} + 7n\) | |
[35] (Th. 1) | 4.829 | 4.139 | 3.155 | 2.730 | \(142n^{2} + 18n\) | |
[36] (Th. 1) | 4.831 | 4.142 | 3.148 | 2.713 | \(114n^{2} + 18n\) | |
[37] (Th. 3) | 4.844 | 4.142 | 3.117 | 2.698 | \(70n^{2}+12n\) | |
[38] (Th. 1) | 4.883 | 4.167 | 3.163 | 2.730 | \(91.5n^{2}+4.5n\) | |
[28] (Pro. 1) | 4.910 | 4.233 | 3.309 | 2.882 | \(54.5n^{2}+6.5n\) | |
[32] (Th. 8 N = 2) | 4.930 | 4.220 | 3.090 | 2.660 | \(62.5n^{2}+6.5n\) | |
[27] (Th. 2 N = 2) | 4.900 | 4.190 | 3.160 | 2.730 | \(65n^{2}+8n\) | |
[11] (Th. 1) | 4.942 | 4.234 | 3.309 | 2.882 | \(108n^{2}+12n\) | |
[39] (Th. 3) | 4.944 | 4.274 | 3.305 | 2.850 | \(203n^{2}+9n\) | |
Theorem 1 | 5.102 | 4.402 | 3.411 | 2.981 | \(90n^{2}+13n\) | |
Percentage over [39] | 3.20% | 3.00% | 3.21% | 4.60% | – | |
\(\mathcal{H}_{2}\) | [32] (Th. 8 N = 2) | 6.172 | 6.164 | 5.07 | 3.94 | \(62.5n^{2}+6.5n\) |
Theorem 1 | 6.168 | 6.168 | 5.97 | 5.43 | \(90n^{2}+13n\) | |
Percentage over [39] | 24.76% | 44.31% | 80.64% | 90.53% | – | |
Percentage over [32] | −0.07% | 0.06% | 17.75% | 37.82% | – | |
Percentage over \(\mathcal{H}_{1}\) | 13.36% | 24.75% | 30.64% | 19.00% | – |