An Efficient Biobjective Heuristic for Scheduling Workflows on Heterogeneous DVS-Enabled Processors

<table class="table-group" id="tab2"><tr><td><table class="table"><tr><td class="thead-hr" colspan="2"><hr/></td></tr><tr class="thead"><td align="left">Connected processors</td><td align="center">Transmission rate</td></tr><tr><td class="thead-hr" colspan="2"><hr/></td></tr><tr><td align="left"><svg height="12.75" id="M57" style="vertical-align:-3.28296pt" version="1.1" viewbox="0 0 22.7125 12.75" width="22.7125" 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,-.012,16.312,12.538)"><path d="M384 0h-275v27q67 5 81.5 18.5t14.5 68.5v385q0 38 -7.5 47.5t-40.5 10.5l-48 2v24q85 15 178 52v-521q0 -55 14.5 -68.5t82.5 -18.5v-27z" id="x31"></path></g>
</svg></td><td align="center">1.27</td></tr><tr><td align="left"><svg height="12.75" id="M59" style="vertical-align:-3.28296pt" version="1.1" viewbox="0 0 22.7125 12.75" width="22.7125" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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</svg> and <svg height="12.6" id="M60" style="vertical-align:-3.16006pt" version="1.1" viewbox="0 0 22.7125 12.6" width="22.7125" 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,-.012,16.312,12.538)"><path d="M412 140l28 -9q0 -2 -35 -131h-373v23q112 112 161 170q59 70 92 127t33 115q0 63 -31 98t-86 35q-75 0 -137 -93l-22 20l57 81q55 59 135 59q69 0 118.5 -46.5t49.5 -122.5q0 -62 -29.5 -114t-102.5 -130l-141 -149h186q42 0 58.5 10.5t38.5 56.5z" id="x32"></path></g>
</svg></td><td align="center">1.53</td></tr><tr><td align="left"><svg height="12.6" id="M61" style="vertical-align:-3.16006pt" version="1.1" viewbox="0 0 22.7125 12.6" width="22.7125" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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</svg></td><td align="center">1.10</td></tr><tr class="table-tr"><td colspan="2"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

Transmission rate between different processors.

Journal of Applied Mathematics

tab2

Table 2

Table 2: An Efficient Biobjective Heuristic for Scheduling Workflows on Heterogeneous DVS-Enabled Processors 