Person:
López Herrero, María Jesús

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First Name
María Jesús
Last Name
López Herrero
URI
https://hdl.handle.net/20.500.14352/77420
Affiliation
Universidad Complutense de Madrid
Faculty / Institute
Estudios estadísticos
Department
Estadística y Ciencia de los Datos
Area
Estadística e Investigación Operativa
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Start date: 1994 × Has files: false ×

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Now showing 1 - 2 of 2
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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.
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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.