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
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}, 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