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

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