Polling systems and queueing theory constitute a significant branch of applied mathematics that underpins various modern technological and industrial applications. These areas investigate systems ...

Markov chains and queueing theory together provide a robust framework for analysing systems that evolve randomly over time. Markov chains describe stochastic processes where the future state depends ...

The authors do not work for, consult, own shares in or receive funding from any company or organization that would benefit from this article, and have disclosed no relevant affiliations beyond their ...

This is a preview. Log in through your library . Abstract Let Tx be the length of time to accumulate x units of a resource. In queueing, the resource could be service. We derive a sufficient condition ...

The treatment of simple single-server queues with random arrivals and exponentially distrtibuted serving times is facilitated by the use of cumulative sums of which the lowest order represents the ...