Improved Greedy Algorithm for Set Covering Problem
Drona Pratap Chandu
Abstract
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Drona Pratap Chandu
Abstract
Open-access reader
This paper proposes a greedy algorithm named as Big step greedy set cover algorithm to compute approximate minimum set cover. The Big step greedy algorithm, in each step selects p sets such that the union of selected p sets contains greatest number of uncovered elements and adds the selected p sets to partial set cover. The process of adding p sets is repeated until all the elements are covered. When p=1 it behaves like the classical greedy algorithm.
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This paper proposes a greedy algorithm named as Big step greedy set cover algorithm to compute approximate minimum set cover. The Big step greedy algorithm, in each step selects p sets such that the union of selected p sets contains greatest number of uncovered elements and adds the selected p sets to partial set cover. The process of adding p sets is repeated until all the elements are covered. When p=1 it behaves like the classical greedy algorithm.
Key concepts: Greedy algorithm, Set cover problem, Cover (algebra), Set (abstract data type), Greedy randomized adaptive search procedure, Process (computing), Algorithm, Mathematics