Open AccessFinite M/M/1 retrial model with changeable service rate
Author(s) -
M. S. Bratiichuk,
A. A. Chechelnitsky,
Iryna Usar
Publication year - 2021
Publication title -
matematičnì studìï/matematičnì studìï
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.482
H-Index - 8
eISSN - 2411-0620
pISSN - 1027-4634
DOI - 10.30970/ms.56.1.96-102
Subject(s) - orbit (dynamics) , queueing system , service (business) , retrial queue , queueing theory , computer science , type (biology) , service system , mathematics , computer network , engineering , geology , aerospace engineering , business , paleontology , marketing
The article deals with M/M/1 -type retrial queueing system with finite orbit. It is supposedthat service rate depends on the loading of the system. The explicit formulae for ergodicdistribution of the number of customers in the system are obtained. The theoretical results areillustrated by numerical examples.