The number of VM migrations is initiated by the VM manager during the adaptation of the VM placement. We calculate number of VMs migrated during the simulation with single day workload. Each time during our simulation, we simulate with a 24-hours workload.

Energy and SLA Violations
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The objective of proposing new algorithms is to reducie the violation of SLA and energy consumption. Therefore, Energy and SLA Violation (ESV) in Eq. (6) are used as a combined metric.

$$ESV = E.SLAV$$

Simulation Results and Discussions
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We have simulated our proposed algorithm in a simulated environment. The simulation was conducted using CloudSim toolkit with real life workload which had been derived from thousands of PlanetLab physical servers which were located around the world. During the simulation, we had combined our proposed algorithm with the previously proposed best algorithm combinations proposed by \[18\]. The best algorithm combinations are THR-MMT-1.0, THR-MMT-0.8, IQR-MMT-1.5, MAD-MMT-2.5, LRR-MMT-1.2 and LR-MMT-1.2.

![image](F2EnergyIQRLRR.eps){width="80.00000%"}

![image](F2EnergyMADTHR.eps){width="80.00000%"}

![image](F2EnergyTHR1LR.eps){width="80.00000%"}

With the combination of our proposed algorithm the policies denoted as: THR-MxMT-1.0, THR-MxMT-0.8, IQRMxMT-1.5, MAD-MxMT-2.5, LRR-MxMT-1.2 and LR-MxMT-1.2. Simulation results had been considered for all six algorithm combinations. Our proposed algorithm outperforms in terms of results compared with to the prior work. We 