Theory and Modern Applications
Table 1 MAUBs h under different μ for Example 1
Delay sets | Methods∖μ | 0.05 | 0.1 | 0.3 | 0.5 | NoVs |
|---|---|---|---|---|---|---|
\(\mathcal{H}_{1}\) | [34] (Th. 1) | 2.613 | 2.424 | 2.131 | 1.793 | \(27n^{2}+4n\) |
[24] (Th. 2 C2.) | 2.598 | 2.397 | 2.128 | 1.787 | \(23n^{2}+4n\) | |
[35] (Th. 1) | 2.573 | 2.420 | 2.133 | 2.005 | \(142n^{2} + 18n\) | |
[36] (Th. 1) | 2.575 | 2.425 | 2.230 | 2.019 | \(114n^{2} + 18n\) | |
[37] (Th. 3) | 2.590 | 2.438 | 2.240 | 2.026 | \(70n^{2}+12n\) | |
[38] (Th. 3) | 2.602 | 2.475 | 2.230 | 2.102 | \(91.5n^{2}+4.5n\) | |
Theorem 1 | 2.821 | 2.746 | 2.549 | 2.437 | \(90n^{2}+13n\) | |
Percentage over [38] | 8.42% | 10.95% | 14.30% | 15.94% | – | |
\(\mathcal{H}_{2}\) | Theorem 1 | 3.118 | 3.109 | 3.084 | 3.058 | \(90n^{2}+13n\) |
Percentage over [38] | 19.83% | 25.62% | 38.30% | 45.48% | – | |
Percentage over \(\mathcal{H}_{1}\) | 10.53% | 13.22% | 20.99% | 25.48% | – |