A discrete-time Geo([X])/G/1 retrial queue with control of admission

Artalejo Rodríguez, Jesús ManuelAtencia, I.Moreno, P.2023-06-202023-06-202005-110307-904X10.1016/j.apm.2005.02.005https://hdl.handle.net/20.500.14352/49997The authors thank the referee for his comments on an earlier version of this paper. This research is supported by the DGINV through the project BFM2002-02189.This paper analyses adiscrete-timeGeo/G/1retrialqueue with batch arrivals in which individual arriving customers have acontrol of admission. We study the underlying Markov chain at the epochs immediately after the slot boundaries making emphasis on the computation of its steady-state distribution. To this end we employ numerical inversion and maximum entropy techniques. We also establish a stochastic decomposition property and prove that the continuous-timeM/G/1retrialqueue with batch arrivals and control of admission can be approximated by our discrete-time system. The outcomes agree with known results for special cases.engA discrete-time Geo([X])/G/1 retrial queue with control of admissionjournal articlehttp://www.sciencedirect.com/science/article/pii/S0307904X0500034Xhttp://www.sciencedirect.comrestricted access519.8Control of admissionDiscrete-time modelMarkov chainMaximum entropyNumerical inversionStochastic ecompositionInvestigación operativa (Matemáticas)1207 Investigación Operativa