Queueing Systems: Theory and Applications
Queueing Systems: Theory and Applications - Special issue of queueing systems, theory and applications
Numerical investigation of a multiserver retrial model
Queueing Systems: Theory and Applications - Special issue of queueing systems, theory and applications
Frontiers in queueing
Accessible bibliography on retrial queues
Mathematical and Computer Modelling: An International Journal
Queueing Systems: Theory and Applications
Multi-server retrial queue with negative customers and disasters
Queueing Systems: Theory and Applications
Tests for nonergodicity of denumerable continuous time Markov processes
Computers & Mathematics with Applications
Phase-type models for cellular networks supporting voice, video and data traffic
Mathematical and Computer Modelling: An International Journal
Non-ergodicity criteria for denumerable continuous time Markov processes
Operations Research Letters
Hi-index | 0.00 |
Define the traffic intensity as the ratio of the arrival rate to the service rate. This paper shows that the BMAP/PH}/s/s+K retrial queue with PH-retrial times is ergodic if and only if its traffic intensity is less than one. The result implies that the BMAP/PH}/s/s+K retrial queue with PH-retrial times and the corresponding BMAP/PH}/s queue have the same condition for ergodicity, a fact which has been believed for a long time without rigorous proof. This paper also shows that the same condition is necessary and sufficient for two modified retrial queueing systems to be ergodic. In addition, conditions for ergodicity of two BMAP/PH}/s/s+K retrial queues with PH-retrial times and impatient customers are obtained.