A ${o}\mathopen {}\left( n\right) \mathclose {}$-Competitive Deterministic Algorithm for Online Matching a Line

Neal Barcelo
Michele Scquizzato

Algorithmica, pp. 2917-2933, 2019.

Keywords:
Online algorithms Competitive analysis Metric matching Search problems

Abstract:

Online matching on a line involves matching an online stream of requests to a given set of servers, all in the real line, with the objective of minimizing the sum of the distances between matched server-request pairs. The best previously known upper and lower bounds on the optimal deterministic competitive ratio are linear in the number o...More

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