Equilibrium distributions of the queue length in M/M/c queuing system

Jian Xu

School of Economics and Management, Beijing University of Posts and Telecommunications, Beijing, 100876, China

In this paper, An M/M/c queuing system with multiple working vacations and vacation interruption is considered. All servers work at a lower rate rather than completely stop during a vacation period. Meanwhile, we introduce another vacation policy: vacation interruption. Otherwise using matrix-geometric solution method, we obtain steady-state distribution for queue length.