RT Journal Article T1 On a bivariate Markov process arising in the theory of single-server retrial queues A1 Falin, Guennadi I. A1 Gómez-Corral, Antonio AB The paper deals with a special bivariate Markov process which can be considered as the joint process of the channel (server) state and the number of customers in the orbit of a Markovian single server retrial system with state dependent intensities. Several retrial queues, analysed in the literature, are special cases in view of the versatilityof the process. Necessary and sufficient conditions for the regularity, ergodicity and recurrence of the process are given. For the stationary distribution a product formulais derived. Further the busy period, the number of served customers and other related quantities are studied. PB BLACKWELL SN 0039-0402 YR 2000 FD 2000 LK https://hdl.handle.net/20.500.14352/57418 UL https://hdl.handle.net/20.500.14352/57418 LA eng NO European Commission NO DGYCYT NO Universidad Complutense de Madrid DS Docta Complutense RD 6 abr 2025