RT Journal Article
T1 The stationary distribution of a Markovian process arising in the theory of multiserver retrial queueing systems
A1 Gómez-Corral, Antonio
A1 Ramalhoto, M.F.
AB In this paper, we introduce a bivariate Markov process {X(t), t greater than or equal to 0} = {(C(t), Q(t)), t greater than or equal to 0} whose state space is a lattice semistrip E = {0, 1, 2, 3} x Z(+). The process {X(t), t greater than or equal to 0} can be seen as the joint process of the number of servers and waiting positions occupied, and the number of customers in orbit of a generalized Markovian multiserver queue with repeated attempts and state dependent intensities. Using a simple approach, we derive closed form expressions for the stationary distribution of {X(t), t greater than or equal to 0} when a sufficient condition is satisfied. The stationary analysis of the M/M/2/2 + 1 and M/M/3/3 queues with linear retrial rates is studied as a particular case in this process.
PB Pergamon-Elsevier Science LTD
SN 0895-7177
YR 1999
FD 1999-04-03
LK https://hdl.handle.net/20.500.14352/57423
UL https://hdl.handle.net/20.500.14352/57423
LA eng
NO DGICYT
NO INTAS
NO JNICT
DS Docta Complutense
RD 18 abr 2025