Article ID: | iaor200971395 |
Country: | Netherlands |
Volume: | 62 |
Issue: | 1 |
Start Page Number: | 35 |
End Page Number: | 49 |
Publication Date: | Jun 2009 |
Journal: | Queueing Systems |
Authors: | Grassmann Winfried K, Tavakoli Javad |
Keywords: | M/M/c queues |
Transient solutions for M/M/c queues are important for staffing call centers, police stations, hospitals and similar institutions. In this paper we show how to find transient solutions for M/M/c queues with finite buffers by using eigenvalues and eigenvectors. To find the eigenvalues, we create a system of difference equations where the coefficients depend on a parameter