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A 1.932 Guarantee for (r,Q) Policies in Continuous-Review Lost-Sales Inventory Systems
We provide a uniform guarantee for a continuous-review lost-sales inventory system with unit Poisson demand, deterministic lead time, and fixed ordering costs: a simple algorithm computes an $(r,Q)$ policy and chooses between that policy and no replenishment, with cost at most $(\sqrt2+\sqrt6)/2<1.9
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