Analysis of MAPPH(1)‎, PH(2)‎2 Queue with Bernoulli Vacations

Joint Authors

Thangaraj, V.
Rukmani, R.
Kumar, B. Krishna

Source

Journal of Applied Mathematics and Stochastic Analysis

Issue

Vol. 2008, Issue 2008 (31 Dec. 2008), pp.1-20, 20 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2008-12-17

Country of Publication

Egypt

No. of Pages

20

Main Subjects

Mathematics

Abstract EN

We consider a two-heterogeneous-server queueing system with Bernoulli vacation in which customers arrive according to a Markovian arrival process (MAP).

Servers returning from vacation immediately take another vacation if no customer is waiting.

Using matrix-geometric method, the steady-state probability of the number of customers in the system is investigated.

Some important performance measures are obtained.

The waiting time distribution and the mean waiting time are also discussed.

Finally, some numerical illustrations are provided.

American Psychological Association (APA)

Kumar, B. Krishna& Rukmani, R.& Thangaraj, V.. 2008. Analysis of MAPPH(1), PH(2)2 Queue with Bernoulli Vacations. Journal of Applied Mathematics and Stochastic Analysis،Vol. 2008, no. 2008, pp.1-20.
https://search.emarefa.net/detail/BIM-468884

Modern Language Association (MLA)

Kumar, B. Krishna…[et al.]. Analysis of MAPPH(1), PH(2)2 Queue with Bernoulli Vacations. Journal of Applied Mathematics and Stochastic Analysis No. 2008 (2008), pp.1-20.
https://search.emarefa.net/detail/BIM-468884

American Medical Association (AMA)

Kumar, B. Krishna& Rukmani, R.& Thangaraj, V.. Analysis of MAPPH(1), PH(2)2 Queue with Bernoulli Vacations. Journal of Applied Mathematics and Stochastic Analysis. 2008. Vol. 2008, no. 2008, pp.1-20.
https://search.emarefa.net/detail/BIM-468884

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-468884