Paper Info
Title
Analysis of congestion periods of an m/m/infinity-queue
Abstract
A c-congestion period of an m/m/∞-queue is a period during which the number of customers in the system is continuously above level c. Interesting quantities related to a c-congestion period are, besides its duration Dc, the total area Ac above c, and the number of arrived customers Nc. In the literature Laplace transforms for these quantities have been derived, as well as explicit formulae for their means. Explicit expressions for higher moments and covariances (between Dc,Nc and Ac), however, have not been found so far.
Year
DOI
Venue
2007
10.1016/j.peva.2006.12.001
Performance Evaluation
Keywords
DocType
Volume
m/m/∞,Transient behavior,c-congestion period,Busy period
Journal
64
Issue
ISSN
Citations 
7
0166-5316
0
PageRank 
References 
Authors
0.34
0
3
Name
Order
Citations
PageRank
Frank Roijers1475.45
Michel Mandjes253473.65
Hans van den Berg316925.01