RT Journal Article
T1 The busy period and the waiting time analysis of a MAP/M/c queue with finite retrial group
A1 Artalejo Rodríguez, Jesús Manuel
A1 Chakravarthy, S. R.
A1 López Herrero, María Jesús
AB We concentrate on the analysis of the busy period and the waiting time distribution of a multi-server retrial queue in which primary arrivals occur according to a Markovian arrival process (MAP). Since the study of a model with an infinite retrial group seems intractable, we deal with a system having a finite buffer for the retrial group. The system is analyzed in steady state by deriving expressions for (a) the Laplace–Stieltjes transforms of the busy period and the waiting time; (b) the probabiliy generating functions for the number of customers served during a busy period and the number of retrials made by a customer; and (c) various moments of quantites of interest. Some illustrative numerical examples are discussed.
PB Taylor & Francis Inc
SN 0736-2994
YR 2007
FD 2007-03-07
LK https://hdl.handle.net/20.500.14352/49977
UL https://hdl.handle.net/20.500.14352/49977
LA eng
NO J. R. Artalejo and M. J. Lopez-Herrero thank the support received from the research project MTM2005-01248.
DS Docta Complutense
RD 29 mar 2026