Person: López Herrero, María Jesús
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First Name
María Jesús
Last Name
López Herrero
Affiliation
Universidad Complutense de Madrid
Faculty / Institute
Estudios estadísticos
Department
Estadística y Ciencia de los Datos
Area
Estadística e Investigación Operativa
Identifiers
3 results
Search Results
Now showing 1 - 3 of 3
Item Performance analysis of a cellular mobile networkwith retrials and guard channels using waiting and first passage time measures(European Transactions on Telecommunications, 2009) Economou, Antonis; López Herrero, María Jesús; Xu, ChangqiaoMost studies of modern cellular mobile networks concern performance measures directly computable from the stationary state probabilities such as the blocking probability and the mean traffic rates of the various kinds of calls. In this paper, we consider a cellular mobile system with retrials and guard channels for the handover calls, but we concentrate on performance measures related to the waiting and first passage times of the system. More concretely, we first build a Markovian model representing a station of the network and then we study the waiting time of a customer, the idle times of the guard channels and the time between successive lost calls. These measures shed light on the behaviour of the system and quantify the quality of service from both points of view of the customer and the administrator. Several numerical results illustrate the effect of the system parameters in its performance.Item Analysis of a multiserver queue with setup times(Queueing Systems, 2005) Artalejo Rodríguez, Jesús Manuel; Economou, Antonis; López Herrero, María JesúsThis paper deals with the analysis of an M/M/c queueing system with setup times. This queueing model captures the major characteristics of phenomena occurring in production when the system consists in a set of machines monitored by a single operator.We carry out an extensive analysis of the system including limiting distribution of the system state, waiting time analysis, busy period and maximum queue length.Item The deterministic SIS epidemic model in a Markovian random environment(Journal of Mathematical Biology, 2016) Economou, Antonis; López Herrero, María JesúsWe consider the classical deterministic susceptible-infective-susceptible epidemic model, where the infection and recovery rates depend on a background environmental process that is modeled by a continuous time Markov chain. This framework is able to capture several important characteristics that appear in the evolution of real epidemics in large populations, such as seasonality effects and environmental influences. We propose computational approaches for the determination of various distributions that quantify the evolution of the number of infectives in the population.