A multi-orthogonal polynomials' approach to bulk queueing theory

07/10/2021

∙

by   Ulises Fidalgo, et al.

∙

0

∙

share

We consider a stationary Markov process that models certain queues with a bulk service of fixed number m of admitted customers. We find an integral expression of its transition probability function in terms of certain multi-orthogonal polynomials. We study the convergence of the appropriate scheme of simultaneous quadrature rules to design an algorithm for computing this integral expression.