Abstract
A parallel system with two job classes is analyzed. Type-1 jobs require one server for their execution and have exponentially distributed service times while type-2 jobs need two servers and have general service times. The model consists of a single queue served by two servers that may work either independently or in parallel. It is assumed that all jobs are rigid and share the servers according to pure space sharing. We provide closed-form expressions, exact as well as approximate, for various performance measures of interest. The approximate formula is found to be extremely accurate for various distributions of the service times of type-2 jobs. Furthermore, the maximal occupancy of the servers as well as the maximal throughput are examined. Finally, numerical results to investigate the impact of each parameter on system performance are conducted.
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.
