Abstract
The load-dependent Mean Value Analysis (MVA) algorithm suffers from numerical instability issues. Different techniques have been adopted to avoid these issues, however, they have either complexity problems or restrictive assumptions. In this paper, we introduce a numerically Stable MVA (SMVA) algorithm for closed product-form queueing networks that allows for load-dependent queues. The SMVA algorithm is inspired by Seidmann’s approximation for the numerical stability, and employs the Bard-Schweitzer approximation for the accuracy. The SMVA algorithm offers a numerically stable, efficient, and accurate approximate solution. We validate SMVA by comparing it to other MVA algorithms in concrete examples, and analyse its errors. We also extend it to a multi-class model.
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.
