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Published in:
2016 | OriginalPaper | Chapter
Randomized Priorities in Queuing System with Randomized Push-Out Mechanism
Authors : Alexander Ilyashenko, Oleg Zayats, Vladimir Muliukha
Published in: Internet of Things, Smart Spaces, and Next Generation Networks and Systems
Publisher: Springer International Publishing
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Abstract
For queuing systems with two incoming flows and single channel with randomized priority and push-out mechanism were obtained analytical expressions of generating function and loss probabilities. As general parameters for model control were used push-out probability \( 0 \le \alpha \le 1 \) and probability of selecting service packets from first flow rather than second \( 0 \le \beta \le 1 \). Theoretically and experimentally found that in certain combinations of incoming flows load factors loss probabilities dependence may be linear. This behavior is called “law of linear losses”. Areas where this effect is shown are called “areas of linear behavior”. In article shown such areas for considered randomized priorities system.