×

The ergodicity condition for an M/G/1 retrial queue with nonlatticed orbit cycle distribution. (Ukrainian. English summary) Zbl 1051.60092

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.

MSC:

60K25 Queueing theory (aspects of probability theory)
90B22 Queues and service in operations research
PDFBibTeX XMLCite