The idea of G-networks with negative arrivals, as well as of the relevant product form
solution including non-linear traffic equations, was first published by Erol Gelenbe in 1989 …

The first part of the paper is a review; it describes the proposed approach and gives the
general basis of the method constructed by one of the authors in the 1990s in order to obtain …

We present two iterative methods for computing the global and partial extinction probability
vectors for Galton-Watson processes with countably infinitely many types. The probabilistic …

We consider the Erlang loss system, characterized by N servers, Poisson arrivals and
exponential service times, and allow the arrival rate to be a function of N. We discuss …

In the last two decades, researchers have really been embracing the idea of G-networks with
negative arrivals and the relevant product form solution including nonlinear traffic equations …

We consider birth–death processes on the nonnegative integers, where {1, 2,…} is an
irreducible class and 0 an absorbing state, with the additional feature that a transition to …

In this paper, we give locations of the zeros of polynomials satisfying particular (d+ 1)-order
recurrence relations and we establish some representations of the smallest and largest real …

We study a system of two queues with boundary assistance, represented as a continuous-
time Quasi-Birth-and-Death process (QBD). Under our formulation, this QBD has a 'doubly …

Первая часть статьи носит обзорный характер, в ней с той степенью подробности,
которая позволяет применять описываемый подход, приводится основная база метода …

We survey a method initiated by one of us in the 1990's for finding bounds and
representations for the rate of convergence of a birth-death process. We also present new …