Abstract
This study obtains transient solution of two-dimensional state Markovian queueing model with homogenous servers, multiple vacations, catastrophes and feedback. Inter-arrival and service times follow an exponential distribution with parameters ? and ?, respectively. Units are ejected from the system when catastrophes occur. Servers get deactivated for a moment and are ready for service when new units arrive. Occurrence of catastrophes follows Poisson distribution with rate. After receiving the service, the units either exit or rejoin the system immediately at the early end of the queue; this is known as ?feedback?. Laplace transform approach has been used to find transient solution and discover some quantifiable results.. KEYWORDS :Markovian queue, Laplace transform, Multiple vacations, Catastrophes, Feedback
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 callMore From: INTERNATIONAL JOURNAL OF AGRICULTURAL AND STATISTICAL 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.
