ASTA implies an M/G/1-like load decomposition for a server with vacations

Zvi Rosberg; H. Richard Gail

doi:10.1016/0167-6377(91)90093-5

ASTA implies an M/G/1-like load decomposition for a server with vacations

Zvi Rosberg, H. Richard Gail

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

We consider a single server at which customers of several classes arrive according to a stochastic point process and the server may take vacations arbitrarily. We show that under stationary conditions, the ASTA property (Arrivals See Time Averages) implies an M/G/1-like load decomposition property. A network of quasi-reversible symmetric queues with server vacations is given as an example for non-Poisson arrivals.

Original language	English
Pages (from-to)	95-97
Number of pages	3
Journal	Operations Research Letters
Volume	10
Issue number	2
DOIs	https://doi.org/10.1016/0167-6377(91)90093-5
State	Published - 1 Jan 1991
Externally published	Yes

Keywords

ASTA
point processes
quasi-reversibility
queues
stochastic decomposition
vacation models

ASJC Scopus subject areas

Software
Management Science and Operations Research
Industrial and Manufacturing Engineering
Applied Mathematics

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10.1016/0167-6377(91)90093-5

Cite this

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abstract = "We consider a single server at which customers of several classes arrive according to a stochastic point process and the server may take vacations arbitrarily. We show that under stationary conditions, the ASTA property (Arrivals See Time Averages) implies an M/G/1-like load decomposition property. A network of quasi-reversible symmetric queues with server vacations is given as an example for non-Poisson arrivals.",

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N2 - We consider a single server at which customers of several classes arrive according to a stochastic point process and the server may take vacations arbitrarily. We show that under stationary conditions, the ASTA property (Arrivals See Time Averages) implies an M/G/1-like load decomposition property. A network of quasi-reversible symmetric queues with server vacations is given as an example for non-Poisson arrivals.

AB - We consider a single server at which customers of several classes arrive according to a stochastic point process and the server may take vacations arbitrarily. We show that under stationary conditions, the ASTA property (Arrivals See Time Averages) implies an M/G/1-like load decomposition property. A network of quasi-reversible symmetric queues with server vacations is given as an example for non-Poisson arrivals.

KW - ASTA

KW - point processes

KW - quasi-reversibility

KW - queues

KW - stochastic decomposition

KW - vacation models

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ER -

ASTA implies an M/G/1-like load decomposition for a server with vacations

Abstract

Keywords

ASJC Scopus subject areas

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