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Cloud computing providers must support requests for resources in dynamic environments, considering service elasticity and overbooking of physical resources. Due to the randomness of requests, Virtual Machine Placement (VMP) problems should be formulated under uncertainty. In this context, a renewed formulation of the VMP problem is presented, considering the optimization of four objective functions: (i) power consumption, (ii) economical revenue, (iii) resource utilization and (iv)doi:10.1109/clei.2017.8226393 dblp:conf/clei/ChamasLB17 fatcat:zyu52jirvbc7zmnmv4hhpoc2zi