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Journal of Applied Mathematics and Computing
Published in: Journal of Applied Mathematics and Computing 1-2/2017

31-03-2016 | Original Research

M/M/1 queue with m kinds of differentiated working vacations

Authors: Hongbo Zhang, Gaojun Zhou

Published in: Journal of Applied Mathematics and Computing | Issue 1-2/2017

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Abstract

In this paper, we consider an M/M/1 vacation queueing system in which m different kinds of working vacations may be taken as soon as the system is empty. When parameters take proper different values, our model reduces to several classical models already studied in references. By quasi birth and death process and generalized eigenvalues method, we give the distributions for the number of customers and sojourn time in the system. Furthermore, we also give the stochastic decomposition results of such stationary indices.
previous article A generalized modified SOR-like method for the singular saddle point problems
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Metadata
Title
M/M/1 queue with m kinds of differentiated working vacations
Authors
Hongbo Zhang
Gaojun Zhou
Publication date
31-03-2016
Publisher
Springer Berlin Heidelberg
Published in
Journal of Applied Mathematics and Computing / Issue 1-2/2017
Print ISSN: 1598-5865
Electronic ISSN: 1865-2085
DOI
https://doi.org/10.1007/s12190-016-1005-z

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