In this paper, we analyze a single-server vacation queue with a general arrival process. Two policies, working vacation and vacation interruption, are connected to model some practical problems. The GI/M/1 queue with such two policies is described and by the matrix analysis method, we obtain various performance measures such as mean queue length and waiting time. Finally, using some numerical e...

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 ma...

Abstract: We consider a discrete-time 1 X Geo G retrial queue with general retrial times, and introduce working vacations and vacation interruption policy into the retrial queue. Firstly, we analyze the stationary condition for the embedded Markov chain at the departure epochs. Secondly, using supplementary variable method, we obtain the stationary probability distribution and some performance ...

We consider a MAP/PH/1-type queueing system with server vacations as model that is useful for the analysis of multiple access systems polling discipline without transmission interruption. Vacation corresponds to service providing competitive information flows system. In this paper, we vacation under pretty general assumptions about probabilistic distributions describing behavior and realistic a...