Abstract
We consider a single removable and non-reliable server in both infinite capacity and finite capacity queueing systems with Poisson arrivals and ¿-type hyper-exponential distribution for the service times operating under the N policy. The server may be turned on at arrival epochs or off at departure epochs. Breakdown and repair times of the server are assumed to follow a negative exponential distribution. Cost model for infinite capacity queueing system (say cost model 1) is developed to determine the optimal operating policy. Cost model for finite capacity queueing system (say cost model 2) is developed to determine the optimal operating policy and the optimal system capacity, simultaneously. This paper presents the optimal operating policy, the optimal system capacity, the minimum expected cost based on specific values given to the system parameters, as well as to the cost elements. The sensitivity analysis is also investigated.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: 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.
