Table 6 Comparison results for a 17-link network with tolls
Link flow | 1 | 3 | 5 | \(\boldsymbol{\tau_{1\cdots17}}\) |
|---|---|---|---|---|
\(x_{1}\) | 2.135 | 0.938 | 0.386 | 2.037 |
\(x_{2}\) | 2.135 | 0.938 | 0.386 | 1.202 |
\(x_{3}\) | 1.000 | 0.938 | 0.386 | 1.202 |
\(x_{4}\) | 2.000 | 1.363 | 0.00 | 0.775 |
\(x_{5}\) | 0.000 | 0.000 | 0.000 | 0.835 |
\(x_{6}\) | 1.135 | 0.000 | 0.000 | 0.000 |
\(x_{7}\) | 1.000 | 0.938 | 0.386 | 1.202 |
\(x_{8}\) | 2.000 | 1.363 | 0.000 | 0.775 |
\(x_{9}\) | 2.000 | 1.363 | 0.00 | 1.610 |
\(x_{10}\) | 3.057 | 1.363 | 0.000 | 0.775 |
\(x_{13}\) | 0.078 | 0.000 | 0.000 | 0.835 |
\(x_{14}\) | 2.057 | 2.301 | 0.386 | 1.977 |
\(x_{17}\) | 0.078 | 0.000 | 0.000 | 0.835 |
Net benefit | 7,823 | 8,233 | 11,494 | 12,629 |
\(y_{1}\) | 0.328 | 0.000 | 0.000 | 0.000 |
\(y_{2}\) | 1.135 | 0.000 | 0.000 | 0.202 |
\(y_{3}\) | 0.000 | 0.000 | 0.000 | 0.000 |
\(y_{4}\) | 2.130 | 1.377 | 0.000 | 0.001 |
\(y_{5}\) | 0.000 | 0.000 | 0.000 | 0.000 |
\(y_{6}\) | 0.000 | 0.000 | 0.000 | 0.000 |
\(y_{7}\) | 0.000 | 0.369 | 0.000 | 0.413 |
\(y_{8}\) | 0.000 | 0.000 | 0.000 | 0.000 |
\(y_{9}\) | 0.000 | 0.000 | 0.000 | 2.431 |
\(y_{10}\) | 0.057 | 0.000 | 0.000 | 0.420 |
\(y_{13}\) | 1.009 | 0.000 | 0.000 | 0.263 |
\(y_{14}\) | 3.551 | 0.000 | 0.000 | 0.000 |
\(q_{17}\) | 4.135 | 2.301 | 0.386 | 2.812 |
\({F_{\mathrm{max}}}\) | 622.9811 | 398.818 | 82.2225 | 480.6378 |