Power-of-two sampling in redundancy systems: the impact of assignment constraints

Ellen Cardinaels; Sem Borst; Johan S. H. van Leeuwaarden

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arXiv · 2111.05777

Power-of-two sampling in redundancy systems: the impact of assignment constraints

Ellen Cardinaels·Sem Borst·Johan S. H. van Leeuwaarden

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Abstract

A classical sampling strategy for load balancing policies is power-of-two, where any server pair is sampled with equal probability. This does not cover practical settings with assignment constraints which force non-uniform sampling. While intuition suggests that non-uniform sampling adversely impacts performance, this was only supported through simulations, and rigorous statements have remained elusive. Building on product-form distributions for redundancy systems, we prove the stochastic dominance of uniform sampling for a four-server system as well as arbitrary-size systems in light traffic.

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Ellen Cardinaels, Sem Borst, Johan S. H. van Leeuwaarden. 2021-11-10. Power-of-two sampling in redundancy systems: the impact of assignment constraints. https://arxiv.org/abs/2111.05777

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