Person:
Artalejo Rodríguez, Jesús Manuel

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First Name
Jesús Manuel
Last Name
Artalejo Rodríguez
URI
https://hdl.handle.net/20.500.14352/82709
Affiliation
Universidad Complutense de Madrid
Faculty / Institute
Ciencias Matemáticas
Department
Area
Estadística e Investigación Operativa
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1994 - 199932000 - 20103
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Now showing 1 - 6 of 6
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    Low retrial analysis of multiserver queues with repeated attempts due to impatience
    (Simulation in Industry´2000, 2000) Artalejo Rodríguez, Jesús Manuel; López Herrero, María Jesús; Moller, DPF
    We consider a multiserver queueing system where customers may become impatient and then retry for service after some random time. The study of this queueing model is motivated by the existence of exchange distributed operating systems with a time-out mechanism (Boyer et al. 1988). In this paper, we concentrate on the system performance under low retrial rate.
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    Information theoretic approximations for the M/G/1 retrial queue
    (Acta Informatica, 1994) Artalejo Rodríguez, Jesús Manuel; Falin , Guennadi I.; Martín Díaz , Miguel
    In this paper we present information theoretic approximations for theM/G/1 queue with retrials. Various approximations for this model are obtained according to the available information about the service time probability density and the steady-state distribution of the system state. The results are well-suited for numerical computation.
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    A state-dependent Markov-modulated mechanism for generating events and stochastic models
    (Mathematical Methods in the Applied Sciences, 2010) Artalejo Rodríguez, Jesús Manuel; Gómez-Corral, Antonio
    In this paper, we introduce a versatile block-structured state-dependent event (BSDE) approach that provides a methodological tool to construct non-homogeneous Markov-modulated stochastic models. Alternatively, the BSDE approach can be used to construct even a part (e.g. the arrival process) of the model. To illustrate the usefulness of the BSDE approach, several arrival patterns as well as queueing and epidemic models are considered. In particular, we deal with a state-dependent quasi-birth-and-death process that gives a constructive generalization of the scalar birth-and-death process and the homogeneous quasi-birth-and-death process.
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    Analysis of a stochastic clearing system with repeated attempts
    (Communications in Statistics. Stochastic Models, 1998) Artalejo Rodríguez, Jesús Manuel; Gómez-Corral, Antonio
    A stochastic clearing system is characterized by the existence of an output mechanism that instantaneously clears the system, i.e. removes all work currently present. In this paper we study the stochastic behavior of a single server clearing queue in wich customers cannot be continuosly in contact with the server, but can reinitiate the demand some time later. We develop a comprehensive analysis of the system including its limiting behavior, busy period, and waiting time.
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    Approximations for multiserver queues with balking/retrial discipline
    (OR Spectrum, 1995) Artalejo Rodríguez, Jesús Manuel; Falin , Guennadi I.
    Queueing models including the effects of repeated attempts have wide practical use in designing communication systems. The model studied in this paper not only takes into account retrials due to congestion but also considers the effects of balking discipline. Two approximations are considered in order to study the system behaviour for low retrial intensity.
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    Evaluating growth measures in an immigration process subject to binomial and geometric catastrophes
    (Mathematical Biosciences and Engineering, 2007) Artalejo Rodríguez, Jesús Manuel; Economou, A.; López Herrero, María Jesús
    Populations are often subject to the effect of catastrophic events that cause mass removal. In particular, metapopulation models, epidemics, and migratory flows provide practical examples of populations subject to disasters (e.g., habitat destruction, environmental catastrophes). Many stochastic models have been developed to explain the behavior of these populations. Most of the reported results concern the measures of the risk of extinction and the distribution of the population size in the case of total catastrophes where all individuals in the population are removed simultaneously. In this paper, we investigate the basic immigration process subject to binomial and geometric catastrophes; that is, the population size is reduced according to a binomial or a geometric law. We carry out an extensive analysis including first extinction time, number of individuals removed, survival time of a tagged individual, and maximum population size reached between two consecutive extinctions. Many explicit expressions are derived for these system descriptors, and some emphasis is put to show that some of them deserve extra attention.