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On M / (G1/G2) / 1 / V (MV) queue with two types of general heterogeneous service with Bernoulli feedback.

Authors :
Mahanta, Snigdha
Choudhury, Gautam
Ling, Nengxiang
Source :
Cogent Mathematics & Statistics. Jan2018, Vol. 5 Issue 1, p1-N.PAG. 9p.
Publication Year :
2018

Abstract

This paper deals with the steady-state behavior of an M/G/1 queue with two types of general heterogeneous service to the arriving customers and Bernoulli feedback. We first derive the steady-state probability generating functions for the queue size distributions at a random epoch as well as at a departure epoch. Next, we derive the mean queue size at random epoch and the mean waiting time. Also, we obtain the mean busy period of this model and discuss some important particular cases. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
25742558
Volume :
5
Issue :
1
Database :
Academic Search Index
Journal :
Cogent Mathematics & Statistics
Publication Type :
Academic Journal
Accession number :
134607938
Full Text :
https://doi.org/10.1080/23311835.2018.1433577