Koba, O. V.; Kovalenko, I. M. The ergodicity condition for an M/G/1 retrial queue with nonlatticed orbit cycle distribution. (Ukrainian. English summary) Zbl 1051.60092 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2004, No. 8, 70-77 (2004). Summary: An M/G/1 retrial queueing system with nonlatticed distribution of an orbit cycle is considered. If the traffic intensity \(\rho < 1\), then, under a mild extra condition, a Markov chain with several supplementary variables describing the system behaviour at departure epochs is ergodic. Cited in 4 Documents MSC: 60K25 Queueing theory (aspects of probability theory) 90B22 Queues and service in operations research Keywords:Markov chain; ergodicity condition; retrial queue; traffic intensity PDFBibTeX XMLCite \textit{O. V. Koba} and \textit{I. M. Kovalenko}, Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2004, No. 8, 70--77 (2004; Zbl 1051.60092)