Publications

2024

  1. Di Crescenzo A, Gómez-Corral A, Taipe D (2024) Extreme values and related hitting probabilities in level-dependent quasi-birth-death processes with applications to epidemics. Under review.

2023

  1. Gómez-Corral A, Langwade J, López-García M, Molina-París C (2023) Sufficient conditions for regularity, positive recurrence and absorption in level-dependent QBD processes and related block-structured Markov chains. Mathematical Methods in the Applied Sciences, 46, 6756-6766.
  2. Gómez-Corral A, López-Herrero MJ, Taipe D (2023) A Markovian epidemic model in a resource-limited environment. Applied Mathematics & Computation 458, 128252.
  3. Gómez-Corral A, Palacios-Rodríguez F, Rodríguez-Bernal MT (2023) On the exact reproduction number in SIS epidemic models with vertical transmission. Computational and Applied Mathematics 42, 291.
  4. Chalub FACC, Gómez-Corral A, López-García M, Palacios-Rodríguez F (2023) A Markov chain model to investigate the spread of antibiotic-resistant bacteria in hospitals. Studies in Applied Mathematics, 151, 1498-1524.
  5. Gómez-Corral A, Lopez-Herrero MJ, Rodríguez-Bernal MT (2023) On first passage times in discrete skeletons and uniformized versions of a continuous-time Markov chain. In: Trends in Mathematical, Information and Data Sciences (Eds. N. Balakrishnan et al.). Studies in Systems, Decision and Control, vol 445. Springer, Cham, pp. 29-37.
  6. Gómez-Corral A, Lopez-Herrero MJ, Taipe D (2023) On a stochastic epidemic model with limited number of hospital beds. In: Computer Performance Engineering and Stochastic Modelling (Eds. M. Iacono et al.). Lecture Notes in Computer Sciences, vol. 14231. Springer, Cham, pp. 123-138.

2021

  1. Fernández-Peralta R, Gómez-Corral A (2021). A structured Markov chain model to investigate the effects of pre-exposure vaccines in tuberculosis control. Journal of Theoretical Biology 509, 110490.
  2. Gómez-Corral A, López-García M and Rodríguez-Bernal MT (2021). On time-discretized versions of SIS epidemic models: A comparative analysis. Journal of Mathematical Biology 82, 46.

2020

  1. De León M, Gómez-Corral A (2020). Las Matemáticas de la Pandemia. CSIC-Catarata, Madrid. (In Spanish)
  2. Amador J, Gómez-Corral A (2020). A stochastic model with two quarantine states and a limited carrying capacity for quarantine. Physica A 544, 121899.
  3. Gómez-Corral A, López-García M, Lopez-Herrero MJ, Taipe D (2020). On first-passage times and sojourn times in finite QBD processes and their applications in epidemics. Mathematics 8, 1718.

2019

  1. De León M, Gómez-Corral A (2019). Las Matemáticas de la Biología. Catarata, Madrid. (In Spanish)
  2. Amador J, Armesto D, Gómez-Corral A (2019). Extreme values in SIR epidemic models with two strains and cross-immunity. Mathematical Biosciences and Engineering 16, 1992-2022.
  3. Almaraz E, Gómez-Corral A (2019). Number of infections suffered by a focal individual in a two-strain SIS-model. Mathematical Methods in the Applied Sciences 42, 4318-4330.

2018

  1. Almaraz E and Gómez-Corral A (2018). On SIR-models with Markov-modulated events: length of an outbreak, total size of the epidemic and number of secondary cases. Discrete and Continuous Dynamical Systems-Series B 23, 2153-2176.
  2. Gómez-Corral A and López-García M (2018). A within-host stochastic model for nematode infection. Mathematics 6, 143.
  3. Gómez-Corral A and López-García M (2018). Perturbation analysis in finite LD-QBD processes and applications to epidemic models. Numerical Linear Algebra with Applications 25, 2160.

2017

  1. Gómez-Corral A., López-García M. (2017) On SIR epidemic models with generally distributed infectious periods: number of secondary cases and probability of infection. International Journal of Biomathematics 10, 1750024.
  2. Artalejo J.R., Gómez-Corral A., López-García M. and Molina-París C. (2017). Stochastic descriptors to study the fate and potential of naive T cell clonotypes in the periphery. Journal of Mathematical Biology 74, 673-708.

2016

  1. Almaraz E., Gómez-Corral A. and Rodríguez-Bernal M.T. (2016). On the time to reach a critical number of infections in the general epidemic model with infective and susceptible immigrants. BioSystems 144, 68-77.
  2. Gómez-Corral A. and Phung-Duc T. (2016). Retrial Queues and Related Models. Preface. Annals of Operations Research 247, 1-2.

2015

  1. Economou A., Gómez-Corral A. and López-García M. (2015). A stochastic SIS epidemic model with heterogeneous contacts. Physica A: Statistical Mechanics and Applications 421, 78-97.
  2. Gómez-Corral A. and López-García M. (2015). Lifetime and reproduction of a marked individual in a two-species competition process. Applied Mathematics & Computation 264, 223-245.
  3. Gómez-Corral A., Ríos Insua D., Ruggeri F. and Wiper M. (2015). Bayesian inference of Markov processes. Wiley StatsRef: Statistics Reference Online. DOI: 10.1002/9781118445112.stat07837.

2014

  1. Gómez-Corral A. and López García M. (2014). Maximum queue lengths during a fixed time interval in the M/M/c retrial queue. Applied Mathematics and Computation 235, 124-136.
  2. Gómez-Corral A. and López García M. (2014). Control strategies for a stochastic model of host-parasite interaction in a seasonal environment. Journal of Theoretical Biology 354, 1-11.

2013

  1. Gómez-Corral A. and López García M. (2013). Modeling host-parasitoid interactions with correlated events. Applied Mathematical Modelling 37, 5452-5463.
  2. Gómez-Corral A. and López García M. (2013). Maximum population sizes in host-parasitoid models. International Journal of Biomathematics 6, No.2, 1350002 (28 pages). DOI: 10.1142/S1793524513500022.
  3. Gómez-Corral A. (2013). Obituary – Jesús R. Artalejo 1963-2013. TOP 21, 409-425.

2012

  1. Gómez-Corral A. and López García M. (2012). Extinction times and size of the surviving species in a two-species competition process. Journal of Mathematical Biology 64, 255-289.
  2. Gómez-Corral A. and López García M. (2012). On the number of births and deaths during an extinction cycle, and the survival of a certain individual in a competition process. Computers & Mathematics with Applications (special issue BIOMATH 2011) 64, 236-259.

2011

  1. Economou A., Gómez-Corral A. and Kanta S. (2011). Optimal balking strategies in single-server queues with general service and vacation times. Performance Evaluation 68, 967-982.

2010

  1. Gómez-Corral A. (2010). On the applicability of the number of collisions in p-persistent CSMA/CD protocols. Computers & Operations Research 37, 1199-1211.
  2. Artalejo J.R. and Gómez-Corral A. (2010). A state-dependent Markov-modulated mechanism for generating events and stochastic models. Mathematical Methods in the Applied Sciences 33, 1342-1349.
  3. Artalejo J.R., Gómez-Corral A. and He Q.-M. (2010). Markovian arrivals in stochastic modeling: A survey and some new results. Statistics and Operations Research Transactions 34, 101-144. (An invited paper with discussion.)
  4. Artalejo J.R. and Gómez-Corral A. (2010). Markov chains with block-structured state dependent events: Formulation and correlation analysis. In: Proceedings of the 5th International Conference on Queueing Theory and Network Applications, pp. 23-28.

2009

  1. Chakravarthy S.R. and Gómez-Corral A. (2009). The influence of delivery times on repairable k-out-of-N systems with spares. Applied Mathematical Modelling 33, 2368-2387.
  2. Gómez-Corral A. and Martos M.E. (2009). Marked Markovian arrivals in a tandem G-network with blocking. Methodology and Computing in Applied Probability 11, 621-649.

2008

  1. Artalejo J.R. and Gómez-Corral A. (2008). Retrial Queueing Systems: A Computational Approach. Springer-Verlag, Berlin.
  2. Artalejo J.R. and Gómez-Corral A. (2008). Advances in Retrial Queues. Preface. European Journal of Operational Research 189, pp. 1041.
  3. Artalejo J.R, Economou A. and Gómez-Corral A. (2008). Algorithmic analysis of the Geo/Geo/c retrial queue. European Journal of Operational Research 189, 1042-1056.
  4. Gómez-Corral A. and Martos M.E. (2008). A.B. Clarke’s tandem queue revisited – Sojourn times. Stochastic Analysis and Applications 26, 1111-1135.

2007

  1. Artalejo J.R., Economou A. and Gómez-Corral A. (2007). Applications of maximum queue lengths to call center management. Computers & Operations Research 34, 983-996.
  2. Artalejo J.R. and Gómez-Corral A. (2007). A note on the busy period of the M/G/1 queue with finite retrial group. Probability in the Engineering and Informational Sciences 21, 77-82.
  3. Artalejo J.R. and Gómez-Corral A. (2007). Waiting time analysis of the M/G/1 queue with finite retrial group. Naval Research Logistics 54, 524-529.
  4. Economou, A. and Gómez-Corral, A. (2007). The batch Markovian arrival process subject to renewal generated geometric catastrophes. Stochastic Models 23, 211-233.
  5. Artalejo J.R. and Gómez-Corral A. (2007). Modelling communication systems with phase type service and retrial times. IEEE Communications Letters 11, 955-957.
  6. Gómez-Corral A. and Martos M.E. (2007). Inter-departure times in a tandem G-queue with blocking. In: International E-Conference on Computer Science 2006. Lecture Series on Computer and Computational Sciences, Vol. 8, Simos T. and Psihoyios G. eds., Brill Academic Publishers, Leiden, pp. 522-526.

2006

  1. Avram F. and Gómez-Corral A. (2006). On bulk-service MAP/PH^{L,N}/1/N G-queues with repeated attempts. Annals of Operations Research 141, 109-137.
  2. Avram F. and Gómez-Corral A. (2006). On the optimal control of a two-queue polling model. Operations Research Letters 34, 339-348.
  3. Gómez-Corral A. (2006). A bibliographical guide to the analysis of retrial queues through matrix analytic techniques. Annals of Operations Research 141, 163-191.
  4. Gómez-Corral A. and Martos M.E. (2006). Performance of two-stage tandem queues with blocking: The impact of several flows of signals. Performance Evaluation 63, 910-938.

2005

  1. Gómez-Corral A. (2005). On a finite-buffer bulk-service queue with disasters. Mathematical Methods of Operations Research 61, 57-84.
  2. Gómez-Corral A., Krishnamoorthy A. and Narayanan V.C. (2005). The impact of self-generation of priorities on multi-server queues with finite capacity. Stochastic Models 21, 427-447.
  3. Artalejo J.R. and Gómez-Corral A. (2005). Waiting time in the M/M/c queue with finite retrial group. Bulletin of Kerala Mathematics Association 2, 1-17. (An invited paper.)

2004

  1. Gómez-Corral A. (2004). Sojourn times in a two-stage queueing network with blocking. Naval Research Logistics 51, 1068-1089.
  2. Gómez-Corral A. (2004). Bulk-service finite-buffer retrial queues. In: Proceedings of the 5th International Workshop on Retrial Queues, Choi B.D. ed., TMRC, Korea University, Seoul, pp 67-80.

2003

  1. Artalejo J.R. and Gómez-Corral A. (2003). Channel idle periods in computer and telecommunication systems with customer retrials. Telecommunication Systems 24, 29-46.

2002

  1. Gómez-Corral A. (2002). Analysis of a single-server retrial queue with quasi-random input and non-preemptive priority. Computers and Mathematics with Applications 43, 767-782.
  2. Gómez-Corral A. (2002). A tandem queue with blocking and Markovian arrival process. Queueing Systems 41, 343-370.
  3. Gómez-Corral A. (2002). On a tandem G-network with blocking. Advances in Applied Probability 34, 626-661.
  4. Gómez-Corral A. (2002). A matrix-geometric approximation for tandem queues with blocking and repeated attempts. Operations Research Letters 30, 360-374.
  5. Gómez-Corral A. (2002). A discussion on the invited paper «Discrete time queues and matrix-analytic method» by A.S. Alfa, Top 10.

2001

  1. Artalejo J.R., Gómez-Corral A. and Neuts M.F. (2001). Analysis of multiserver queues with constant retrial rate. European Journal of Operational Research 135, 569-581.
  2. Gómez-Corral A. (2001). On extreme values of orbit lengths in M/G/1 queues with constant retrial rate. OR Spektrum 23, 395-409.

2000

  1. Falin G.I. and Gómez-Corral A. (2000). On a bivariate Markov process arising in the theory of single-server retrial queues. Statistica Neerlandica 54, 67-78.
  2. Gómez-Corral A. and Ramalhoto M.F. (2000). On the waiting time distribution and the busy period of a retrial queue with constant retrial rate. Stochastic Modelling and Applications 3,37-47.
  3. Artalejo J.R., Gómez-Corral A. and Neuts M.F. (2000). Numerical analysis of multiserver retrial queues operating under a full access policy. In: Advances in Algorithmic Methods for Stochastic Models, Latouche G. and Taylor P.G. eds., Notable Publications Inc., NJ, pp 1-19.

1999

  1. Gómez-Corral A. (1999). Stochastic analysis of a single server retrial queue with general retrial times. Naval Research Logistics 46, 561-581.
  2. Artalejo J.R. and Gómez-Corral A. (1999). On a single server queue with negative arrivals and request repeated. Journal of Applied Probability 36, 907-918.
  3. Artalejo J.R. and Gómez-Corral A. (1999). Performance analysis of a single-server queue with repeated attempts. Mathematical and Computer Modelling 30, 79-88.
  4. Gómez-Corral A. and Ramalhoto M.F. (1999). On the stationary distribution of a Markovian process arising in the theory of multiserver retrial queueing systems. Mathematical and Computer Modelling 30, 141-158.
  5. Artalejo J.R. and Gómez-Corral A. (1999). Computation of the limiting distribution in queueing systems with repeated attempts and disasters. RO-Recherche Opérationelle/Operations Research (RAIRO) 33, 371-382.

1998

  1. Artalejo J.R. and Gómez-Corral A. (1998). Generalized birth and death processes with applications to queues with repeated attempts and negative arrivals. OR Spektrum 20, 5-14.
  2. Ramalhoto M.F. and Gómez-Corral A. (1998). Some decomposition formulae for M/M/r/r+d queues with constant retrial rate. Stochastic Models 14, 123-145.
  3. Artalejo J.R. and Gómez-Corral A. (1998). Analysis of a stochastic clearing system with repeated attempts. Stochastic Models 14, 623-645.
  4. Artalejo J.R. and Gómez-Corral A. (1998). Unreliable retrial queues due to service interruptions arising from facsimile networks. Belgian Journal of Operations Research, Statistics and Computer Science 38, 31-41.
  5. Gómez-Corral A. (1998). On single-server queues governed by a clearing mechanism and a secondary input of repeated attempts. In: Proceedings of the International Conference on Stochastic Processes, Krishnamoorthy A. ed., pp 169-180.

1997

  1. Artalejo J.R. and Gómez-Corral A. (1997). Steady state solution of a single-server queue with linear requests repeated. Journal of Applied Probability 34, 223-233.

1996

  1. Artalejo J.R. and Gómez-Corral A. (1996). Stochastic analysis of the departure and quasi-input processes in a versatile single server queue. Journal of Applied Mathematics and Stochastic Analysis 9, 171-183.

1995

  1. Artalejo J.R. and Gómez-Corral A. (1995). Information theoretic analysis for queueing systems with quasi-random input. Mathematical and Computer Modelling 22, 65-76.
  2. Martín M. and Gómez-Corral A. (1995). On the M/G/1 retrial queueing system with linear control policy. Top 3, 285-305.

1994

  1. Artalejo J.R. and Gómez-Corral A. (1994). Analysis of the modes of the stationary distribution in single server retrial queues with quasi-random input. In: Transactions of the 12th Prague Conference, Lachout P. and Vísek J.A. eds., pp 24-27.