Periodic solution to the time-inhomogeneous multi-server Poisson queue

Periodic solution to the time-inhomogeneous multi-server Poisson queue

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Article ID: iaor20073145
Country: Netherlands
Volume: 35
Issue: 1
Start Page Number: 125
End Page Number: 138
Publication Date: Jan 2007
Journal: Operations Research Letters
Authors:
Abstract:

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 straightforward application of generating functions.

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