A Discrete-Time Unreliable GeoG1 Retrial Queue with Balking Customers, Second Optional Service, and General Retrial Times

Joint Authors

Zhang, Feng
Zhu, Zhifeng

Source

Mathematical Problems in Engineering

Issue

Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-12, 12 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2013-12-29

Country of Publication

Egypt

No. of Pages

12

Main Subjects

Civil Engineering

Abstract EN

This paper deals with the steady-state behavior of a discrete-time unreliable Geo/G/1 retrial queueing system with balking customers and second optional service.

The server may break down randomly while serving the customers.

If the server breaks down, the server is sent to be repaired immediately.

We analyze the Markov chain underlying the considered system and its ergodicity condition.

Then, we obtain some performance measures based on the generating functions.

Moreover, a stochastic decomposition result of the system size is investigated.

Finally, some numerical examples are provided to illustrate the effect of some parameters on main performance measures of the system.

American Psychological Association (APA)

Zhang, Feng& Zhu, Zhifeng. 2013. A Discrete-Time Unreliable GeoG1 Retrial Queue with Balking Customers, Second Optional Service, and General Retrial Times. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-12.
https://search.emarefa.net/detail/BIM-1010891

Modern Language Association (MLA)

Zhang, Feng& Zhu, Zhifeng. A Discrete-Time Unreliable GeoG1 Retrial Queue with Balking Customers, Second Optional Service, and General Retrial Times. Mathematical Problems in Engineering No. 2013 (2013), pp.1-12.
https://search.emarefa.net/detail/BIM-1010891

American Medical Association (AMA)

Zhang, Feng& Zhu, Zhifeng. A Discrete-Time Unreliable GeoG1 Retrial Queue with Balking Customers, Second Optional Service, and General Retrial Times. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-12.
https://search.emarefa.net/detail/BIM-1010891

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1010891