It is shown that a class of infinite, block-partitioned, stochastic matrices has a matrix-geometric invariant probability vector of the form (x0,x1,...), where xk=x0Rk, for k≥ 0. The rate matrix R is ...

Load balancing and queueing theory constitute fundamental pillars in the analysis and optimisation of complex service systems. These disciplines merge mathematical modelling and algorithmic strategies ...

The aim of this paper is, on the one hand, to describe the movement of patients through a hospital department by using classical queueing theory and, on the other hand, to present a way of optimising ...