Abstract
The stationary probability distribution of the content of a fluid queue with constant output rate and input rate varying as an Ornstein-Uhlenbeck process is studied. Markov properties provide the set of equations for the derivation of this distribution; the consideration of its Fourier transform leads to the study of a functional equation of integral type in the complex plane. This analysis is shown to relate to that of the connected Fokker-Planck equation. Results are discussed and compared to that of a similar fluid queueing model. This study was motivated by teletrafflc problems encountered in the multiplexing of video communications with variable activity rate.
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.
