The full text of this article


Cost analysis of a machine repair problem with standby, working vacation and server breakdown
by Madhu Jain; Preeti
International Journal of Mathematics in Operational Research (IJMOR), Vol. 6, No. 4, 2014


Abstract: This paper investigates a machine repair model with standbys, working vacation and server breakdown. As soon as an operating unit fails, it is immediately replaced by a standby unit for the smooth running of the production. When there is no failed unit in the system, the server goes on vacation; meanwhile, the server performs some works and is said to be on working vacation. The life time and the repair time of the units are assumed to be exponentially distributed. The matrix recursive method is used to evaluate various performances measures such as the expected number of failed units in the system, the expected number of operating units in the system, machine availability, operating utilisation, etc. The cost function is established to maximise the gain. The sensitivity analysis is also carried out to examine the effect of different parameters on various system characteristics.

Online publication date: Fri, 04-Jul-2014


is only available to individual subscribers or to users at subscribing institutions.

Existing subscribers:
Go to Inderscience Online Journals to access the Full Text of this article.

Pay per view:
If you are not a subscriber and you just want to read the full contents of this article, buy online access here.

Complimentary Subscribers, Editors or Members of the Editorial Board of the International Journal of Mathematics in Operational Research (IJMOR):
Login with your Inderscience username and password:


    Username:        Password:         

Forgotten your password?

Want to subscribe?
A subscription gives you complete access to all articles in the current issue, as well as to all articles in the previous three years (where applicable). See our Orders page to subscribe.

If you still need assistance, please email