RT Conference Proceedings
T1 Sojourn Times and Steady-state Probabilities in a Retrial Queueing System
A1 Atencia-McKillop, Iván
K1 Colas de espera, Teoría de
K1 Probabilidades
K1 Procesos estocásticos
AB This paper analyses a discrete-time Geo/G/1 retrial queue with general retrial times in whichthe arriving customers may opt to follow a LCFS-PR discipline or to join the orbit where it iscontemplated the movement of jobs, customers, etc., from one place to another. The Markovchain underlying the system has been studied, the generating functions of the number ofcustomers in the orbit and in the system as well as their expected values are derived. Thestochastic decomposition law and, as an application, bounds for the proximity between thesteady-state distribution for the system under study and its corresponding standard systemhas been derived. Recursive formulae for calculating the steady-state distributions of the orbitand system size have been developed. Besides, it has proved that the M/G/1 continuous-timeversion of the studied model can be approximated by the discrete-time system considered.A complete study of the sojourn time of a customer in the server, the orbit and thesystem has been carried out. Numerical examples to illustrate the effect of the most signiffcantparameters of the system on several performance characteristics are given. Finally, a sectionof conclusions and research results is presented.
YR 2020
FD 2020-07-24
LK https://hdl.handle.net/10630/19674
UL https://hdl.handle.net/10630/19674
LA eng
DS RIUMA. Repositorio Institucional de la Universidad de Málaga
RD 21 ene 2026