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.
翻译:摘要:受需求响应式停车定价系统的启发,我们研究了在线度量匹配问题的标价算法。在度量空间为线段的条件下,给出了一种$O(\log n)$-竞争比的随机化标价算法。特别地,在该场景中我们展示了如何利用价格实现广泛应用的“猜测-加倍”技术。