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2006
Springer

A Unified Approach to Approximating Partial Covering Problems

9 years 2 months ago
A Unified Approach to Approximating Partial Covering Problems
An instance of the generalized partial cover problem consists of a ground set U and a family of subsets S 2U . Each element e U is associated with a profit p(e), whereas each subset S S has a cost c(S). The objective is to find a minimum cost subcollection S S such that the combined profit of the elements covered by S is at least P, a specified profit bound. In the prize-collecting version of this problem, there is no strict requirement to cover any element; however, if the subsets we pick leave an element e U uncovered, we incur a penalty of (e). The goal is to identify a subcollection S S that minimizes the cost of S plus the penalties of uncovered elements. Although problem-specific connections between the partial cover and the prize-collecting variants of a given covering problem have been explored and exploited, a more general connection remained open. The main contribution of this paper is to establish a formal relationship between these two variants. As a result, we prese...
Jochen Könemann, Ojas Parekh, Danny Segev
Added 22 Aug 2010
Updated 22 Aug 2010
Type Conference
Year 2006
Where ESA
Authors Jochen Könemann, Ojas Parekh, Danny Segev
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