This document summarizes research on server consolidation algorithms for virtualized cloud environments with variable workloads. It discusses how server consolidation aims to reduce the number of physical servers through virtualization and live migration of virtual machines between servers. The document reviews several existing server consolidation algorithms and studies their impacts on performance when migrating virtual machines. It then presents an evaluation of selected algorithms under variable workloads to reduce server sprawl, optimize power consumption, and balance loads across physical machines in cloud computing environments.