Mathematics

Studies from S. Borst et al in the area of discrete and continuous dynamical systems described

  2008 NOV 24 - (VerticalNews.com) -- "This paper considers a parallel system of queues fed by independent arrival streams, where the service rate of each queue depends on the number of customers in all of the queues," researchers in Netherlands report.

  "Necessary and sufficient conditions for the stability of the system are derived, based on stochastic monotonicity and marginal drift properties of multiclass birth and death processes. These conditions yield a sharp characterization of stability for systems where the service rate of each queue is decreasing in the number of customers in other queues, and has uniform limits as the queue lengths tend to infinity," wrote S. Borst and colleagues.

  The researchers concluded: "The results are illustrated with applications where the stability region may be nonconvex."

  Borst and colleagues published their study in Discrete Event Dynamic Systems - Theory and Applications (Stability of parallel queueing systems with coupled service rates. Discrete Event Dynamic Systems - Theory and Applications, 2008;18(4):447-472).

  For additional information, contact M. Jonckheere, Kruislaan 413, NL-1098 SJ Amsterdam, Netherlands.

  Publisher contact information for the journal Discrete Event Dynamic Systems - Theory and Applications is: Springer, Van Godewijckstraat 30, 3311 Gz Dordrecht, Netherlands.

  Keywords: Discrete and Continuous Dynamical Systems.

  This article was prepared by VerticalNews Mathematics editors from staff and other reports. Copyright 2008, VerticalNews Mathematics via VerticalNews.com.