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

October 19, 2023 Β· Declared Dead Β· πŸ› International Conference on Combinatorial Optimization and Applications

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Authors Stephen Arndt, Josh Ascher, Kirk Pruhs arXiv ID 2310.12394 Category cs.DS: Data Structures & Algorithms Citations 1 Venue International Conference on Combinatorial Optimization and Applications Last Checked 4 months ago
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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