Lecture 4 , 5 ( Sep 20 , Sep 22 , 2011 ) : Set Cover , LP Duality , 0 - 1 Kanpsack
نویسندگان
چکیده
In this section we consider another method for solving the set cover problem approximately. The method uses randomized rounding of the solution obtained from the linear programming (LP) relaxation of set cover. The basic idea behind this algorithm is first to solve the LP relaxation for the set cover problem. We can think of the solution ~x as a probability to either select a set or not. Note that the output of the algorithm might not be a set cover. But the probability to get a set cover can be increased by repeating the same procedure multiple times. For set cover corresponding LP is
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