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Proof.For the first claim, we first note that √ 1 +λ− √ λ= ( √ 1 +λ− √ λ)( √ 1 +λ+ √ λ)√ 1 +λ+ √ λ = (1 +λ)−λ√ 1 +λ+ √ λ = 1√ 1 +λ+ √ λ

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Online Allocation with Unknown Shared Supply

cs.AI · 2026-05-08 · unverdicted · novelty 7.0

Introduces the OSSA problem and a GPA policy achieving 4/3-approximation for online allocation of unknown shared supply under fixed costs and lost sales, with matching lower bounds and a forecast-robust extension.

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  • Online Allocation with Unknown Shared Supply cs.AI · 2026-05-08 · unverdicted · none · ref 5

    Introduces the OSSA problem and a GPA policy achieving 4/3-approximation for online allocation of unknown shared supply under fixed costs and lost sales, with matching lower bounds and a forecast-robust extension.