Title: An SM<sub>2</sub>/MSP/n/r System with Random-Service Discipline and a Common Buffer.
Authors: Pechinkin, A. V.; Trishechkin, S. I.
Abstract: 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.
Subjects: QUEUING theory; PRODUCTION scheduling; MARKOV processes; CONSUMERS; MANAGEMENT science
Publication: Automation & Remote Control, 2003, Vol 64, Issue 11, p1742
ISSN: 0005-1179
Publication type: Academic Journal
DOI: 10.1023/A:1027378229645

An SM<sub>2</sub>/MSP/n/r System with Random-Service Discipline and a Common Buffer.

Pechinkin, A. V.; Trishechkin, S. I.