Simultaneous Optimization of the Liner Shipping Route and Ship Schedule Designs with Time Windows

<table class="table-group" id="tab8"><tr><td><table class="table"><tr><td class="thead-hr" colspan="3"><hr/></td></tr><tr class="thead"><td class="align_left">Scenario</td><td class="align_center">Fleet size</td><td class="align_center">Total cost (×10<sup>5</sup> US$)</td></tr><tr><td class="thead-hr" colspan="3"><hr/></td></tr><tr><td class="align_left" rowspan="2">1</td><td class="align_center">2</td><td class="align_center">6.38</td></tr><tr><td class="align_center" colspan="2">Route: QHD ⟶ TXG ⟶ DAL ⟶ YCI ⟶ NAG ⟶ YOK ⟶ KAW ⟶ TOK ⟶ SZU ⟶ QHD</td></tr><tr><td class="align_left" colspan="3"><hr/></td></tr><tr><td class="align_left" rowspan="2">2</td><td class="align_center">2</td><td class="align_center">5.67</td></tr><tr><td class="align_center" colspan="2">Route: QHD ⟶ DAL ⟶ YCI ⟶ NAG ⟶ SZU ⟶ YOK ⟶ KAW ⟶ TOK ⟶ TXG ⟶ QHD</td></tr><tr><td class="align_left" colspan="3"><hr/></td></tr><tr><td class="align_left" rowspan="2">3</td><td class="align_center">2</td><td class="align_center">5.66</td></tr><tr><td class="align_center" colspan="2">Route: QHD ⟶ DAL ⟶ YCI ⟶ NAG ⟶ SZU ⟶ KAW ⟶ TOK ⟶ YOK ⟶ TXG ⟶ QHD</td></tr><tr class="table-tr"><td colspan="3"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

<div>Optimal solutions with different relaxations of the time windows.</div>

Mathematical Problems in Engineering

tab8

Table 8

Table 8: Simultaneous Optimization of the Liner Shipping Route and Ship Schedule Designs with Time Windows 