An $O(\log n)$-Competitive Posted-Price Algorithm for Online Matching on the Line

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An $O(\log n)$-Competitive Posted-Price Algorithm for Online Matching on the Line

Authors

Stephen Arndt, Josh Ascher, Kirk Pruhs

Abstract

Motivated by demand-responsive parking pricing systems, we consider posted-price algorithms for the online metric matching problem. We give an $O(\log n)$-competitive posted-price randomized algorithm in the case that the metric space is a line. In particular, in this setting we show how to implement the ubiquitous guess-and-double technique using prices.

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