RT Journal Article
T1 Single server retrial queues with two way communication
A1 Artalejo Rodríguez, Jesús Manuel
A1 Phung-Duc, T.
AB The main aim of this paper is to study the steady state behavior of an M/G/1-type retrial queue in which there are two flows of arrivals namely ingoing calls made by regular customers and outgoing calls made by the server when it is idle. We carry out an extensive stationary analysis of the system, including stability condition, embedded Markov chain, steady state joint distribution of the server state and the number of customers in the orbit (i.e., the retrial group) and calculation of the first moments. We also obtain light-tailed asymptotic results for the number of customers in the orbit. We further formulate a more complicate but realistic model where the arrivals and the service time distributions are modeled in terms of the Markovian arrival process (MAP) and the phase (PH) type distribution.
PB Elsevier Science Inc
SN 0307-904X
YR 2013
FD 2013-02
LK https://hdl.handle.net/20.500.14352/33269
UL https://hdl.handle.net/20.500.14352/33269
LA eng
NO Government of Spain (Ministry of Science and Innovation)
NO European Commission
NO Japan Society for the Promotion of Science
DS Docta Complutense
RD 6 abr 2025