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 ...

We consider single-server queueing systems that are modulated by a discrete-time Markov chain on a countable state space. The underlying stochastic process is a Markov random walk (MRW) whose ...

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

RUDN University mathematicians created a model of maximum efficiency of data centers. It is based on a nontrivial Markov chain. In addition to the obvious practical applications of the results for the ...

“We can use some fancy math to predict how long the line will get,” Keely Croxton of Ohio State says, then apply it to related problems. In response to a listener request, “Marketplace” host Kai ...

Journal of Applied Probability, Vol. 27, No. 3 (Sep., 1990), pp. 557-576 (20 pages) In this paper we consider two-dimensional Markov chains with the property that, except for some boundary conditions, ...