Reliability analysis of M/G/1 queueing systems with server breakdowns and vacations

Authors

Wei Li, Institute of Applied Mathematics, AMSS, CAS
Dinghua Shi, Shanghai University
Xiuli Chao, New Jersey Institute of Technology

Document Type

Article

Publication Date

1-1-1997

Abstract

This note introduces reliability issues to the analysis of queueing systems. We consider an M/G/1 queue with Bernoulli vacations and server breakdowns. The server uptimes are assumed to be exponential, and the server repair times are arbitrarily distributed. Using a supplementary variable method we obtain a transient solution for both queueing and reliability measures of interest. These results provide insight into the effect of server breakdowns and repairs on system performance.

Identifier

0031344707 (Scopus)

Publication Title

Journal of Applied Probability

External Full Text Location

https://doi.org/10.1017/S0021900200101172

ISSN

00219002

First Page

546

Last Page

555

Issue

2

Volume

34

Recommended Citation

Li, Wei; Shi, Dinghua; and Chao, Xiuli, "Reliability analysis of M/G/1 queueing systems with server breakdowns and vacations" (1997). Faculty Publications. 16930.
https://digitalcommons.njit.edu/fac_pubs/16930