Table 4 Results for a 16-link network for different link tolls
Link flow | 1 | 3 | 5 | \(\boldsymbol{\tau_{1\cdots16}}\) |
|---|---|---|---|---|
\(x_{2}\) | 3.375 | 4.00 | 2.00 | 1.844 |
\(x_{3}\) | 1.561 | 0.00 | 0.00 | 0.00 |
\(x_{6}\) | 1.625 | 0.522 | 0.00 | 1.189 |
\(x_{8}\) | 1.813 | 0.00 | 2.00 | 1.844 |
\(x_{9}\) | 1.561 | 0.00 | 0.00 | 0.00 |
\(x_{12}\) | 1.625 | 0.522 | 0.00 | 1.189 |
\(x_{14}\) | 1.813 | 4.00 | 2.00 | 1.844 |
\(x_{15}\) | 1.561 | 0.00 | 2.00 | 0.00 |
\(x_{16}\) | 1.625 | 0.522 | 0.00 | 1.189 |
Net benefit | 9,566 | 8,973 | 8,105 | 9,494 |
\(y_{2}\) | 0.322 | 1.846 | 0.000 | 0.000 |
\(y_{3}\) | 0.000 | 0.000 | 0.000 | 0.000 |
\(y_{6}\) | 0.000 | 0.000 | 0.000 | 0.000 |
\(y_{8}\) | 0.000 | 1.000 | 0.000 | 0.000 |
\(y_{9}\) | 0.000 | 0.000 | 0.000 | 0.000 |
\(y_{12}\) | 0.000 | 0.000 | 0.000 | 1.433 |
\(y_{14}\) | 0.482 | 2.964 | 2.187 | 0.000 |
\(y_{15}\) | 0.367 | 2.168 | 1.828 | 1.639 |
\(q_{16}\) | 5.00 | 4.522 | 2.000 | 3.033 |
\({F_{\mathrm{max}}}\) | 364.833 | 188.231 | 55.891 | 181.561 |