Abstract
We consider a discrete-time single server queue which models the input buffer of an IP switch/router. The packets arrive according to a batch Bernoulli process and the packet lengths (service times) are independent and identically distributed with a general distribution. We assume that the system has a finite buffer of size K. In contrast to ordinary queues where one packet occupies one place in the buffer, we assume that one packet occupies as many places as its length. We study an asymptotic behavior of the loss probability for this queueing system as the buffer size K tends to infinity, and then use this result to approximate the exact loss probability. Numerical examples show that the approximation is very accurate.
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.
