The Annals of Applied Probability, Vol. 5, No. 3 (Aug., 1995), pp. 637-665 (29 pages) This paper studies the fluid approximation (also known as the functional strong law of large numbers) and the ...

Markovian queueing systems represent a cornerstone in the study of stochastic processes, offering a robust framework for modelling the random nature of service and arrival processes across diverse ...

Ever since Google announced that access to its then-new email application Gmail would be invite-only at first, startup founders have been angling to reproduce that same kind of fervor for their own ...

Fluid models have become a standard tool for demonstrating stability for queueing networks. It is presently not known, however, when the stability of a fluid model follows from that of the ...

You've probably already noticed the difference between the way people line up at McDonald's and the way they line up at Starbucks. At McDonald's, a single employee handles your entire order. Even if ...

Are checkout lines slowing you down this holiday season? With some simple queueing theory stores could could make lines more efficient, saving themselves money, and ...

A Wetherspoons pub that made customers queue in line for a pint has scrapped the rule after complaints. The chain trialled a single-file queueing system at its Surrey Docks pub in Rotherhithe, ...

Retrial queueing systems represent a class of models in which arriving customers, upon encountering a busy or unavailable server, enter a virtual waiting room—commonly referred to as an orbit—to ...