Equilibrium analysis of cloud user request based on the Markov queue with variable vacation and vacation interruption

This paper considers the equilibrium balking behavior of customers in a single-server Markovian queue with variable vacation and interruption, where server can switch across four states: vacation, working idle period, busy period. Once becomes empty, commences slows down its service rate. However, this period may be interrupted anytime by interruption. Upon completion takes probability-based manner stops if system is empty. The stays after until new customer arrives. comparisons between strategy optimal expected social benefit per time unit for each type are elucidated inconsistency individual optimization revealed. Moreover, sensitivity threshold respect to several parameters as well diverse precision levels illustrated through numerical examples competitive cloud environment.