The fluid limit depends on the arrival rate, the service time distribution of the initial customers, and the service time distribution of the arriving customers ...

Abstract. This paper studies the uid approximation, also known as the functional strong law- of-large-numbers, for a GI/G/1 queue under a processor-sharing ...

We propose in this paper a fluid approach to transient and steady-state analysis of closed QNs comprising delay and DPS stations.

This equation enables us to do performance analysis and to obtain approximations for the fraction of customers that renege and the fraction of waisted bandwidth ...

Chen H, Kella O, Weiss G. Fluid approximations for a processor sharing queue. Queueing Systems: Theory and Applications. 1997;27 :99-125. Download Citation.

Consider a single server queue with renewal arrivals and i.i.d. service times in which the server operates under a processor sharing service discipline.

the fluid approximations of {¯µr,m(·):m ≤ ⌊rT⌋} described above to ... for a critical fluid model of a processor sharing queue. Ann. Appl. Probab ...

Introduction. Consider a queueing system which consists of a single server with an infinite capacity buffer, to which jobs arrive according to a delay.

This paper primarily concerns strictly supercritical fluid models, which arise as functional law of large numbers approxi- mations for overloaded processor ...

Apr 27, 2024 · This paper gives a simple, accurate first order asymptotic analysis of the transient and steady state behavior of a network which is closed, not ...