A black-box batching extension preserves the competitive ratio of any online resource allocation algorithm under exogenous replenishment, asymptotically when starting inventory is large, plus an impossibility result for large stochastic replenishments.
Management Science 60(6), 1532–1551 (2014)
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A Black-Box Approach for Exogenous Replenishment in Online Resource Allocation
A black-box batching extension preserves the competitive ratio of any online resource allocation algorithm under exogenous replenishment, asymptotically when starting inventory is large, plus an impossibility result for large stochastic replenishments.