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arXiv · 2307.04360

Mean-field analysis of load balancing principles in large scale systems

Illés Horváth·Márton Mészáros
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Abstract

Load balancing plays a crucial role in many large scale systems. Several different load balancing principles have been proposed in the literature, such as Join-Shortest-Queue (JSQ) and its variations, or Join-Below-Threshold. We provide a high level mathematical framework to examine heterogeneous server clusters in the mean-field limit as the system load and the number of servers scale proportionally. We aim to identify both the transient mean-field limit and the stationary mean-field limit for various choices of load balancing principles, compute relevant performance measures such as the distribution and mean of the system time of jobs, and conduct a comparison from a performance point of view.

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Illés Horváth, Márton Mészáros. 2023-07-10. Mean-field analysis of load balancing principles in large scale systems. https://arxiv.org/abs/2307.04360

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