RT Journal Article
T1 Performance Analysis of a Block-Structured Discrete-Time Retrial Queue with State-Dependent Arrivals
A1 Artalejo Rodríguez, Jesús Manuel
A1 Li, Quan-Lin
AB In this paper, we introduce a new discrete block state-dependent arrival (D-BSDA) distribution which provides fresh insights leading to a successful generalization of the discrete-time Markovian arrival process (D-MAP). The D-BSDA distribution is related to structured Markov chains and the method of stages. The consideration of this new discrete-time state-dependent block description gives one the ability of construct new stochastic models. The retrial queue analyzed in this paper gives an example of application of the D-BSDA distribution to construct more general and sophisticated models. We assume that the primary arrivals and the retrials follow the D-BSDA description and the service times are of discrete phase-type (PH). We study the underlying level dependent Markov chain of M/G/1-type at the epochs immediately after the slot boundaries. To this end, we employ the UL-type RG-factorization which provides an expression for the stationary probabilities. We also perform an analysis of waiting times. Numerical experiments are presented to study the system performance.
PB Springer
SN 0924-6703
YR 2010
FD 2010-09
LK https://hdl.handle.net/20.500.14352/42138
UL https://hdl.handle.net/20.500.14352/42138
LA eng
NO MEC
NO National Grand Fundamental
DS Docta Complutense
RD 10 jun 2025