Retrial Queueing Systems. A Computational Approach

J.R. Artalejo & A. Gómez-Corral
Springer, 2008
ISBN: 978-3-540-78724-2

Las Matemáticas de la Biología (In Spanish)

M. de León & A. Gómez-Corral
Catarata, 2019
ISBN: 978-84-9097-576-3

I received my Ph. D. degree in Mathematics from the Complutense University of Madrid (UCM), Spain, in 1996. My doctoral thesis dealt with the stochastic analysis of retrial queues with negative arrivals and it was award to the best Ph. D. in Statistics and Operations Research by UCM. I was Teaching Assistant at the Department of Statistics and Operations Research I of UCM, since October 1993 till August 1998, and I currently hold a position of Associate Professor at the same department since August 1998.

My main areas of research are focused on stochastic models in queuing and mathematical biology, two areas where I have published several papers, which have appeared in Advances in Applied Probability, Annals of Operations Research, IEEE Communications Letters, Journal of Mathematical Biology, Journal of Theoretical Biology, Operations Research Letters, Stochastic Models, etc.

I currently act as an Area Editor of  RAIRO-Operations Research, a Subject Editor of Applied Mathematical Modelling, and an Associate Editor of Asia-Pacific Journal of Operational Research, Mathematics (Probability & Statistics Section) and Methodology and Computing in Applied Probability. In addition, I have been a Guest Editor of  European Journal of Operational Research (jointly with Jesús R Artalejo, special issue on «Advances in Retrial Queues») and The Annals of Operations Research (jointly with Tuan Phung-Duc, special volume on «Retrial Queues and Related Models»).

Brief CV


Conferences, seminars & courses

Editorial work

Organization of conferences & Programme Committees


Research projects

Some links on my research:

Group UCM-910211 on  Stochastic Modelling Group.

Working Group Pres&a on Stochastic Processes and Their Applications, Spanish Society of Statistics and Operations Research.

First edition of the International Workshop on Stochastic Processes and their Applications, IWSPA 2020, organized by the Working Group Pres&a.

«Contributions to Stochastic Models in Epidemics», our research project in progress.

Some links on maths:

On the left, you may find the sidebar of my blog (in Spanish, under construction). For a more interesting blog, visit «Matemáticas y sus fronteras» at Madri+d blogs. Here is a sample of our contributions in Spanish:

The Conversation: «La biología no se puede entender sin matemáticas» (in Spanish)

The Conversation: «SARS-Cov-2: la geometría del enemigo» (in Spanish)

The Conversation: «Andrei Markov: cadenas matemáticas para luchar contra las epidemias» (in Spanish)

The Conversation: «El teorema del mosquito y la teoría de los eventos» (in Spanish).

BBVA: «La importancia de los datos y el advenimiento del pico« (in Spanish and English)

A few simple, but interesting YouTube videos on epidemics and the spread of coronavirus (Covid-19), by Mario Castro (Universidad Pontificia Comillas) and Tom Britton (Stockholm University):

The Washington Post: «Why outbreaks like coronavirus spread exponentially, and how to flatten the curve», by Harry Stevens.

Here is our contribution on how to explain the spread of COVID-19 by using SIR models.