Randomized greedy: new variants of some classic approximation algorithms

  title={Randomized greedy: new variants of some classic approximation algorithms},
  author={Kevin P. Costello and Asaf Shapira and Prasad Tetali},
We consider the performance of two classic approximation algorithms which work by scanning the input and greedily constructing a solution. We investigate whether running these algorithms on a random permutation of the input can increase their performance ratio. We obtain the following results: 1. Johnson's approximation algorithm for MAX-SAT is one of the first approximation algorithms to be rigorously analyzed. It has been shown that the performance ratio of this algorithm is 2/3. We show… CONTINUE READING
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