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 ...

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 ...

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 ...

“Even if he is alone, the Briton will form an orderly queue of one,” Hungarian-born author George Mikes once remarked. However, our tolerance for standing nose-to-tail with strangers for ...

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 ...

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 ...