| Article ID: | iaor20042340 |
| Country: | Netherlands |
| Volume: | 64 |
| Issue: | 11 |
| Start Page Number: | 1742 |
| End Page Number: | 1754 |
| Publication Date: | Nov 2003 |
| Journal: | Automation and Remote Control |
| Authors: | Pechinkin A.V., Trishechkin S.I. |
| Keywords: | markov processes |
A multi-server queueing system with a semi-Markov input flow of two types of customers, Markov service, a common buffer of finite capacity, and random-service discipline is investigated. The method of Markov imbedded chain is applied to find the stationary distribution of the main service characteristics of this system. By way of example, a system with phase-type service time distribution is given.