Coarse-Grain QoS-Aware Dynamic Instance Provisioning for Interactive Workload in the Cloud

<table class="table-group" id="tab4"><tr><td><table class="table"><tr><td class="thead-hr" colspan="3"><hr/></td></tr><tr class="thead"><td align="left" rowspan="2">  Metric </td><td align="center" colspan="2">Approximations</td></tr><tr class="thead"><td align="center"> Linear </td><td align="center"> Nonlinear</td></tr><tr><td class="thead-hr" colspan="3"><hr/></td></tr><tr><td align="left"><span style="width: 23.7875px;"><svg height="15.4" id="M243" style="vertical-align:-3.39066pt" version="1.1" viewbox="0 0 23.7875 15.4" width="23.7875" 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,-.012,13.712,15.187)"><path d="M766 88q-40 -45 -83.5 -72.5t-63.5 -27.5q-39 0 -16 103l49 224q15 68 -10 68q-36 0 -112.5 -78.5t-105.5 -133.5q-27 -101 -38 -165q-35 -4 -77 -18l-6 6q42 153 70 288q12 55 10 78t-19 23q-38 0 -114 -80.5t-101 -131.5q-24 -68 -41 -165q-36 -3 -76 -18l-8 6
q56 202 87 347q7 33 -3 33q-8 0 -31.5 -17.5t-41.5 -35.5l-12 28q42 45 84 72t63 27q44 0 10 -124l-20 -75h2q92 121 193 178q36 21 64 21q62 0 28 -159l-8 -37h2q50 67 103.5 112t94.5 65q39 19 62 19q60 0 23 -156l-45 -189q-9 -39 2 -39q17 0 71 49z" id="x1D45A"></path></g>
</svg></span></td><td align="center"> 70 </td><td align="center"> 14 </td></tr><tr><td align="left"><span style="width: 18.862499px;"><svg height="15.4" id="M244" style="vertical-align:-3.39066pt" version="1.1" viewbox="0 0 18.862499 15.4" width="18.862499" 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,-.012,13.712,15.187)"><path d="M352 391q0 -31 -27 -44q-14 -7 -24 6q-39 48 -84 48q-23 0 -39.5 -15t-16.5 -40q0 -43 73 -90q49 -32 70 -58t21 -57q0 -58 -62 -105.5t-129 -47.5q-40 0 -75.5 25t-35.5 52q0 28 32 46q7 4 15 3t11 -6q19 -31 48.5 -50.5t54.5 -19.5q34 0 54 19.5t20 42.5q0 43 -65 81
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</svg></span></td><td align="center"> 0.730222 </td><td align="center"> 0.407333 </td></tr><tr class="table-tr"><td colspan="3"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

The instance deviation and the violation probability deviation for two function approximation approaches.

Mathematical Problems in Engineering

tab4

Table 4

Table 4: Coarse-Grain QoS-Aware Dynamic Instance Provisioning for Interactive Workload in the Cloud 