Abstract
This paper deals with the queueing characterization of a machine repair problem with single working vacation and controlled arrival of failed machines under F-policy. The server allows the failed machines to enter the system till full capacity K and thereafter the arrival of the failed machines is prohibited which continues till the queue length is reduced to the threshold value F. The server takes some time to start the repair of the failed machines. The life time of the machines, startup time and repair time of the server are exponentially distributed. When the system is empty, the server goes for a single vacation but it keeps on serving the failed units even during vacation at a different pace, and is said to be on working vacation. The matrix method has been used to obtain the steady state probabilities of the system states. Various performance characteristics have been derived. The numerical results have been obtained and shown in tables and graphs.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
More From: Proceedings of the National Academy of Sciences, India Section A: Physical Sciences
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.