Operations Research Letters
We derive the periodic family of asymptotic distributions and the periodic moments for number in the queue for the multi-server queue with Poisson arrivals and exponential service for time-varying periodic arrival and departure rates, and time-varying periodic number of servers. The method is a straight-forward application of generating functions.
Margolius, Barbara Haas, "Periodic Solution to The Time-Inhomogeneous Multi-Server Poisson Queue" (2007). Mathematics Faculty Publications. 215.
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