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

✍ Scribed by B.H. Margolius

• Publisher: Elsevier Science
• Year: 2007
• Tongue: English
• Weight: 306 KB
• Volume: 35
• Category: Article
• ISSN: 0167-6377
• DOI: 10.1016/j.orl.2005.12.008

✦ Synopsis

We derive the periodic family of asymptotic distributions and the periodic moments for number in the queue for the multiserver 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.