The M/M/c Queue with Setup Times and Single Working Vacations of Partial Servers
نویسندگان
چکیده
In this paper, we investigate an M/M/c queue with single working vacations of partial servers and setup times. During the vacation period, some of which servers are not entirely stop the service but service the new customers at a lower service rate, the other servers have a normal vacation and stop the service. Quasi-birth-and-death-process and infinitesimal generators for the process are obtained from the model that has been described. The steady-state distributions of queue length and some system characteristics are obtained by using matrixgeometric solution method. Keywords— Multi-server queue, set-up time, partial working vacations, quasi birth and death process, matrix-geometric solution, conditional stochastic decompositions.
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