Stochastic Congestion Pricing among Multiple Regions: Competition and Cooperation

<table class="table-group" id="tab2"><tr><td><table class="table"><tr><td class="thead-hr" colspan="11"><hr/></td></tr><tr class="thead"><td align="left">Number</td><td align="center">1</td><td align="center">2</td><td align="center">3</td><td align="center">4</td><td align="center">5</td><td align="center">6</td><td align="center">7</td><td align="center">8</td><td align="center">9</td><td align="center">10</td></tr><tr><td class="thead-hr" colspan="11"><hr/></td></tr><tr><td align="left"><span style="width: 12.5625px;"><svg height="20.0625" id="M166" style="vertical-align:-3.3907pt" version="1.1" viewbox="0 0 12.5625 20.0625" width="12.5625" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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</svg></span></td><td align="center">8.0</td><td align="center">4.0</td><td align="center">4.0</td><td align="center">10.0</td><td align="center">10.0</td><td align="center">14.0</td><td align="center">14.0</td><td align="center">4.0</td><td align="center">4.0</td><td align="center">8.0</td></tr><tr><td align="left"><span style="width: 13.675px;"><svg height="11.9625" id="M167" style="vertical-align:-3.3907pt" version="1.1" viewbox="0 0 13.675 11.9625" width="13.675" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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<g transform="matrix(.012,-0,0,-.012,6.962,11.762)"><path d="M483 97q-42 -50 -88.5 -79.5t-68.5 -29.5q-37 0 -17 93l22 102h-2q-54 -79 -144 -149q-59 -46 -100 -46q-24 0 -43 29t-19 86q0 78 34.5 153t94.5 120q41 31 94 51.5t98 20.5q29 0 72 -9q26 -6 39 -6l2 -4q-30 -117 -67 -323q-8 -41 2 -41q16 0 79 58zM374 387
q-32 15 -73 15q-52 0 -83 -23q-48 -36 -78 -108.5t-30 -152.5q0 -33 8.5 -50.5t20.5 -17.5q31 0 107 79t99 132q15 40 29 126z" id="x1D44E"></path></g>
</svg></span></td><td align="center">300</td><td align="center">300</td><td align="center">300</td><td align="center">400</td><td align="center">400</td><td align="center">400</td><td align="center">400</td><td align="center">300</td><td align="center">300</td><td align="center">200</td></tr><tr class="table-tr"><td colspan="11"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

Parameters used in link performance functions.

Journal of Applied Mathematics

tab2

Table 2

Table 2: Stochastic Congestion Pricing among Multiple Regions: Competition and Cooperation 