Discussion
What is the competitive ratio of an online search algorithm?
Answer: D
Comparing the distance actually travelled with what an omniscient agent would have walked gives a competitive ratio, and bounding it is the standard way of evaluating an online algorithm. In the worst case, with adversarially placed dead ends, the ratio can be unbounded. Running time, coverage and success rates are different measures. Judging an algorithm against what perfect knowledge would have achieved is the natural standard when the difficulty is ignorance rather than computation.
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