Journal of Applied Mathematics and Decision Sciences
Volume 2 (1998), Issue 2, Pages 201-203
doi:10.1155/S1173912698000121
Classroom Note: A note on calculating steady state results for an M/M/k queuing system when the ratio of the arrival rate to the service rate is large
Department of Management Science/Information Systems, California State University-Fullerton, Fullerton 92834, CA, USA
Copyright © 1998 Barry Alan Pasternack and Zvi Drezner. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
The formulas for calculating steady state results for the M/M/k queuing system are
well known. Computational difficulties, however, can arise in using these formulas in situations in
which the ratio of the arrival rate to the service rate is high. In this paper we consider a recursive
approach for calculating steady state results which avoid such computational difficulties. As an
additional benefit, such formulas are far easier to program into a spreadsheet package than the
traditional formulas presented in most management science texts.