Long-run dynamics of queues: Stability and chaos

Authors:
Eric J. Friedman;A. S. Landsberg
Affiliations:
Fuqua School of Business, Duke University Durham, NC 27708, USA;Department of Physics, University of California, Berkeley, CA 94720, USA
Venue:
Operations Research Letters
Year:
1996

Citing 3
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Abstract

We analyze the long-run dynamics of queues in which customers undergo self-selection. We describe the structure and local stability of equilibria for various capacity adjustment procedures and solve the problem of global stability for the limiting cases. The intermediate cases can be quite complicated. We show that one such case leads to chaotic dynamics.