Páginas personales

List of Publications


  1.  García-Cuerva J. and Lopez-Herrero M.J. (1994). A theory of Hardy spaces associated to Herz spaces. Proceedings of the London Mathematical Society 3, 605-628.
  2. Artalejo J.R. and Lopez-Herrero M.J. (2000). On the busy period of the M/G/1 retrial queue. Naval Research Logistics 47, 115-127.
  3. Artalejo J.R. and Lopez-Herrero M.J. (2000). On the single server retrial queue with balking. Infor 38, 33-50.
  4. Artalejo J.R. and Lopez-Herrero M.J. (2001). Analysis of the busy period for the M/M/c queue: An algorithmic approach. Journal of Applied Probability 38, 209-222.
  5. Artalejo J.R. and Lopez-Herrero M.J. (2001). On the M/G/1 queue with quadratic repeated attempts. Statistical Methods 3, 60-78.
  6. López-Herrero M.J. (2002). On the number of customers served in the M/G/1 retrial queue: first moments and maximum entropy approach. Computers and Operations Research 29, 1739-1757.
  7. Artalejo J.R., Falin G.I. and Lopez-Herrero M.J. (2002). A second order analysis of the waiting time in the M/G/1 retrial queue. Asia-Pacific Journal of Operational Research 19, 131-148.
  8. Lopez-Herrero M.J. (2002). Distribution of the number of customers served in an M/G/1 retrial queue. Journal of Applied Probability 39, 407-412.
  9. Artalejo J.R. and Lopez-Herrero M.J. (2004). Entropy maximization and the busy period of some single-server vacation models. RO-Recherche Opérationelle/Operations Research (RAIRO) 38, 195-213.
  10. Artalejo J.R. and Lopez-Herrero M.J. (2005). The M/G/1 retrial queue: An information theoretic approach. Statistics and Operations Research Transactions 29, 119-137.
  11.  Artalejo J.R., Economou A. and Lopez-Herrero, M.J. (2005). Analysis of a multiserver queue with setup times. Queueing Systems 52, 53-76.
  12. Artalejo J.R., Krishnamoorthy A. and Lopez-Herrero M.J. (2006). Numerical analysis of (s,S) inventory systems with repeated attempts. Annals of Operations Research 141, 67-83.
  13. Lopez-Herrero M.J. (2006). A maximum entropy approach for the busy period of the M/G/1 retrial queue. Annals of Operations Research 141, 271-281.
  14. Artalejo J.R., Economou A. and Lopez-Herrero M.J. (2007). Algorithmic approximations for the busy period of the M/M/c retrial queue. European Journal of Operational Research 176, 1687-1702.
  15. Artalejo J.R. and Lopez-Herrero M.J. (2007). On the distribution of the number of retrials. Applied Mathematical Modelling 31, 478-489.
  16. Artalejo, J.R., Chakravarthy, S.R. and Lopez-Herrero, M.J. (2007). The busy period and the waiting time analysis of a MAP/M/c queue with finite retrial group. Stochastic Analysis and Applications 25, 445-469.
  17. Artalejo J.R., Economou A. and Lopez-Herrero M.J. (2007). Algorithmic analysis of the maximum queue length in a busy period for the M/M/c retrial queue. INFORMS Journal on Computing 19, 121-126.
  18. Artalejo J.R. and Lopez-Herrero, M.J. (2007). A simulation study of a discrete-time multiserver retrial queue with finite population. Journal of Statistical Planning and Inference 187, 2536-2542. 
  19. Artalejo J.R., Economou A. and Lopez-Herrero M.J. (2007). Evaluating growth measures in an immigration process subject to binomial and geometric catastrophes. Mathematical Biosciences and Engineering 4, 573-594.
  20. Economou A. and Lopez-Herrero M.J. (2009). Performance analysis of a cellular mobile network with retrials and guard channels using waiting and first passage time measures. European Transactions on Telecommunications 20, 389-401.
  21. Artalejo J.R., Economou A. and Lopez-Herrero M.J. (2010). The maximum number of infected individuals in SIS epidemic models: Computational techniques and quasi-stationary distributions. Journal of Computational and Applied Mathematics  233, 2563-2574.
  22. Artalejo J.R. and Lopez-Herrero M.J. (2010). Cellular mobile networks with repeated calls operating in random environment. Computers and Operations Research 37, 1158-1166.
  23. Lopez-Herrero M.J. (2010). Waiting time and other first-passage time measures in an (s,S) inventory system with repeated attempts and finite retrial queue. Computers and Operations Research 37, 1256-1261.
  24. Artalejo J.R. and Lopez-Herrero M.J. (2010). Quasi-stationary and ratio of expectations distributions: A comparative study. Journal of Theoretical Biology 266, 264-274.
  25. Artalejo J.R., Economou A. and Lopez-Herrero M.J. (2010). On the number of recovered individuals in the SIS and SIR stochastic epidemic models. Mathematical Biosciences 228, 45-55.
  26. Artalejo J.R. and Lopez-Herrero M.J. (2011). The SIS and SIR stochastic epidemic models: A maximum entropy approach. Theoretical Population Biology 80, 256-264.
  27. Artalejo J.R., Economou A. and Lopez-Herrero M.J. (2012). Stochastic epidemic models revisited: Analysis of some continuous performance measures. Journal of Biological Dynamics 6, 189-211.
  28. Artalejo J.R. and Lopez-Herrero M.J. (2012). The single server retrial queue with finite population: A BSDE approach. Operational Research: An International Journal 12, 109-131.
  29. Artalejo J.R. and Lopez-Herrero M.J. (2013). On the exact measure of disease spread in stochastic epidemic models. Bulletin of Mathematical Biology 75, 1031-1050. 
  30. Artalejo J.R., Economou A. and Lopez-Herrero M.J. (2013). Stochastic epidemic models with random environment: quasi-stationarity, extinction and final size. Journal of Mathematical Biology 67, 799-831.
  31. Artalejo J.R. and Lopez-Herrero M.J. (2014). New behavioral indicators of the disease spreading. Applied Mathematical Modelling 38, 4371-4387.
  32. Artalejo J.R., Economou A. and Lopez-Herrero M.J. (2015). The stochastic SEIR model before extinction: Computational approaches. Applied Mathematics and Computation 265, 1026-1043.
  33. Economou A. and Lopez-Herrero M.J. (2016). The deterministic SIS epidemic model in a Markovian environment. Journal of Mathematical Biology 73, 91-121.
  34. Lopez-Herrero M.J. (2017). Epidemic transmission on SEIR stochastic models with nonlinear incidence rate. Mathematical Methods in the Applied Sciences 40, 2532-2541.
  35. Amador J. and Lopez-Herrero M.J. (2018). Cumulative and maximum epidemic sizes for a nonlinear SEIR stochastic model with limited resources. Discrete and Continuous Dynamical Systems – Series B 23, 3137-3151.
  36. Gamboa M. and Lopez-Herrero M.J. (2018). On the number of periodic inspections during outbreaks of discrete-time stochastic SIS epidemic models. Mathematics 6, article 128 (13 páginas).
  37. Gamboa M. and Lopez-Herrero M.J. (2020). Measuring infection transmission in a stochastic SIV model with infection reintroduction and imperfect vaccine. Acta Biotheoretica 68, 395-420. https://doi.org/10.1007/s10441-019-09373-9
  38. Gamboa, M.; Lopez-Herrero, M.J. (2020). The effect of setting a warning vaccination level on a stochastic SIVS model with imperfect vaccine. Mathematics 8, 1136 (23 páginas).
  39. Gómez-Corral A., López-García, M., Lopez-Herrero, M.J. and Taipe D. (2020). On first-passage times and sojourn times in finite QBD processes and their applications in epidemics. Mathematics 8, 1718 (25 páginas)
  40. Gamboa M., López-García M., Lopez-Herrero M.J. (2021) A Stochastic SVIR Model with Imperfect Vaccine and External Source of Infection. In: Ballarini P., Castel H., Dimitriou I., Iacono M., Phung-Duc T., Walraevens J. (eds) Performance Engineering and Stochastic Modeling. EPEW 2021, ASMTA 2021. Lecture Notes in Computer Science, vol 13104. Springer, Cham. https://doi.org/10.1007/978-3-030-91825-5_12
  41. Gamboa M. and  Lopez-Herrero, M.J. (2022). Measures to asses a warning vaccination level in a stochastic SIV model with imperfect vaccine. Studies in Applied Mathematics 148, 1411-1438.  https://doi.org/10.1111/sapm.12479 


  1. Gómez-Corral A., Lopez-Herrero M.J. and Rodríguez-Bernal M.T. (2023). On first passage times in discrete skeletons and uniformized versions of a continuous-time Markov chain. In: Balakrishnan N. et al. (eds). Trends in Mathematical, Information and Data Sciences, Studies in Systems, Decision and Control 445
    Other Publications
  1. Artalejo J.R. and López-Herrero M.J. (2000). Low retrial analysis of multiserver queues with repeated attempts due to impatience. In: Proceedings of the 12th European Simulation Symposium, Möller D.P.F. ed., A Publication of the Society for Computer Simulation International, pp 535-538.
  2. López-Herrero M.J. (2001). The M/G/1 retrial queue: A maximum entropy approach. In: Proceedings of the 15th European Simulation Symposium, Kerckhoffs, E.J.H. and Snorek, M. eds., A Publication of the Society for Computer Simulation International, pp 758-762.
  3. López-Herrero M.J. and Neuts M.F. (2002). The distribution of the maximum orbit size of an M/G/1 retrial queue during the busy period. In: Advances in Stochastic Modelling, Artalejo J.R. and Krishnamoorthy A. eds., Notable Publications Inc., NJ, pp 219-231.
  4. Artalejo J.R. and López-Herrero M.J. (2003). On the M/M/m queue with removable servers. In: Stochastic Point Processes, Srinivasan S.K. and Vijayakumar A. eds., Narosa Publishing House, pp 124-144.
  5. Artalejo J.R. and López-Herrero M.J. (2005). A discrete-time multiserver retrial queue: Performance analysis and simulation. In: Proceedings of the 5th St. Petersburg Workshop on Simulation, Ermakov S.M., Melas V.B. and Pepelyshev A.N. eds., pp. 85-90.
  6. Artalejo J.R., Economou A. and López-Herrero M.J. (2005). Algorithmic analysis for the number of customers served in a busy period of the M/M/c retrial queue. In: Proceedings of the Third National Conference on Mathematical and Computational Models, Arumuganathan R. and Nadarajan R. eds., Allied Publishers, pp 3-15