The deterministic competitive ratio of the Parking Permit Problem is exactly K; the randomized ratio is at most ln K + ln ln K + O(1) and at least ln K + ln ln K + o(1).
Algorithms with Predictions
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We introduce algorithms that use predictions from machine learning applied to the input to circumvent worst-case analysis. We aim for algorithms that have near optimal performance when these predictions are good, but recover the prediction-less worst case behavior when the predictions have large errors.
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Primal-Dual Online Algorithms for the Parking Permit Problem
The deterministic competitive ratio of the Parking Permit Problem is exactly K; the randomized ratio is at most ln K + ln ln K + O(1) and at least ln K + ln ln K + o(1).