Introduces a sampled-input extension to online models bridging worst-case and stochastic settings, with optimal competitive ratios for the secretary problem in worst-case and near-optimal in random-order for small samples, plus an impossibility for simultaneous optimality at large sample sizes.
M atroids, secretary problems, and online mechanisms
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Competitive Analysis with a Sample and the Secretary Problem
Introduces a sampled-input extension to online models bridging worst-case and stochastic settings, with optimal competitive ratios for the secretary problem in worst-case and near-optimal in random-order for small samples, plus an impossibility for simultaneous optimality at large sample sizes.