- A Comparison of Performance Measures for Online Algorithms.
- Joan Boyar, Sandy Irani, and Kim S. Larsen.
In 11th International Algorithms and Data Structures Symposium (WADS), volume 5664 of Lecture Notes in Computer Science, pages 119-130. Springer, 2009.
This paper provides a systematic study of several proposed
measures for online algorithms in the context of a specific problem,
namely, the two server problem on three colinear points.
Even though the problem is simple, it encapsulates a core challenge in
online algorithms which is to balance greediness and adaptability.
We examine Competitive Analysis, the Max/Max Ratio, the Random Order Ratio,
Bijective Analysis and Relative Worst Order Analysis, and determine
how these measures compare the Greedy Algorithm and Lazy Double Coverage,
commonly studied algorithms in the context of server problems.
We find that by the Max/Max Ratio and Bijective Analysis, Greedy is the
better algorithm. Under the other measures, Lazy Double Coverage is
better, though Relative Worst Order Analysis indicates
that Greedy is sometimes better. Our results also provide the first
proof of optimality of an algorithm under Relative Worst Order Analysis.
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