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
November 1993

http://www2.eecs.berkeley.edu/Pubs/TechRpts/1993/ERL-93-76.pdf

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},
    Month = {Nov},
    URL = {http://www2.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://www2.eecs.berkeley.edu/Pubs/TechRpts/1993/2443.html
%F Friedman:M93/76