Mean field approximations to a queueing system with threshold-based workload control scheme

In this paper, motivated by considerations of server utilization and energy consumption in cloud computing, we investigate a homogeneous queueing system with threshold-based workload control scheme. system, virtual machine will be turned off when there are no tasks its buffer upon the completion service machine, on number reaches pre-set threshold value. Due to complexity propose approximations performance measures mean field limits. An iterative algorithm is suggested for solution limit equations. addition, numerical simulation results presented justify proposed approximation method provide analysis impact performances parameters, which suggests that saves about (1−λμ)×100% compared ordinary supermarket models.