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 ...

Queueing theory is a mathematical study of waiting lines or queues used to model a wide array of practical systems such as call centres, manufacturing lines, computer networks and healthcare ...

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 ...