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

Authors:
B. H. Margolius
Affiliations:
Cleveland State University, Department of Mathematics, 1515 Rhodes Tower, 2121 Euclid Ave., Cleveland, Ohio 44114-2214, USA
Venue:
Operations Research Letters
Year:
2007

Citing 4
Cited 2

Generating functionology

Generating functionology
Two notes on notation

American Mathematical Monthly
The Periodic BMAP/PH/c Queue

Queueing Systems: Theory and Applications
The transient solution of time-dependent M/M/1 queues

IEEE Transactions on Information Theory

Transient and periodic solution to the time-inhomogeneous quasi-birth death process

Queueing Systems: Theory and Applications
The matrices R and G of matrix analytic methods and the time-inhomogeneous periodic Quasi-Birth-and-Death process

Queueing Systems: Theory and Applications

Quantified Score

Hi-index	0.00

Visualization

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 straight-forward application of generating functions.