# Short Run Dynamics of Multi-Class Queues

### E.J. Friedman and A.S. Landsberg

###
EECS Department

University of California, Berkeley

Technical Report No. UCB/ERL M93/76

1993

We study the dynamics of general queueing systems with multiple classes of customers undergoing self-selection. We prove that if the capacity of a queue is sufficiently large, the equilibrium arrival rate will be globally stable. As the capacity is decreased, the arrival rate typically oscillates near the equilibrium.

BibTeX citation:

@techreport{Friedman:M93/76, Author = {Friedman, E.J. and Landsberg, A.S.}, Title = {Short Run Dynamics of Multi-Class Queues}, Institution = {EECS Department, University of California, Berkeley}, Year = {1993}, URL = {http://www.eecs.berkeley.edu/Pubs/TechRpts/1993/2443.html}, Number = {UCB/ERL M93/76}, Abstract = {We study the dynamics of general queueing systems with multiple classes of customers undergoing self-selection. We prove that if the capacity of a queue is sufficiently large, the equilibrium arrival rate will be globally stable. As the capacity is decreased, the arrival rate typically oscillates near the equilibrium.} }

EndNote citation:

%0 Report %A Friedman, E.J. %A Landsberg, A.S. %T Short Run Dynamics of Multi-Class Queues %I EECS Department, University of California, Berkeley %D 1993 %@ UCB/ERL M93/76 %U http://www.eecs.berkeley.edu/Pubs/TechRpts/1993/2443.html %F Friedman:M93/76