Profit Maximization Model with Fare Structures and Subsidy Constraints for Urban Rail Transit

<table class="table-group" id="tab3"><tr><td><table class="table"><tr><td class="thead-hr" colspan="3"><hr/></td></tr><tr class="thead"><td class="align_left">Optimized solution</td><td class="align_center">FF</td><td class="align_center">DBF</td></tr><tr><td class="thead-hr" colspan="3"><hr/></td></tr><tr><td class="align_left">Fare (¥)</td><td class="align_center">4.88</td><td class="align_center"><span style="width: 76.8575ptpx;"><svg height="14.8173pt" id="M110" style="vertical-align:-5.52897pt" version="1.1" viewbox="-0.0498162 -9.28833 76.8575 14.8173" width="76.8575pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M384 0V27C293 34 287 42 287 114V635C232 613 172 594 109 583V559L157 557C201 555 205 550 205 499V114C205 42 199 34 109 27V0H384Z"></path></g><g transform="matrix(.013,0,0,-0.013,6.24,0)"><path d="M113 -12C146 -12 170 11 170 46C170 78 146 103 114 103S58 78 58 46C58 11 82 -12 113 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(¥/h)</td><td class="align_center">68804.57</td><td class="align_center">27641.24</td></tr><tr><td class="align_left">Passenger surplus (¥/h)</td><td class="align_center">146131.37</td><td class="align_center">225264.98</td></tr><tr><td class="align_left">Total social welfare (¥/h)</td><td class="align_center">214935.94</td><td class="align_center">252906.22</td></tr><tr><td class="align_left">Subsidy (¥/h)</td><td class="align_center">0</td><td class="align_center">0</td></tr><tr><td class="align_left">Demand (pass./h)</td><td class="align_center">57967</td><td class="align_center">70989</td></tr><tr class="table-tr"><td colspan="3"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

Journal of Advanced Transportation

tab3

Table 3

Table 3: Profit Maximization Model with Fare Structures and Subsidy Constraints for Urban Rail Transit 