A note on the generalized min-sum set cover problem

A note on the generalized min-sum set cover problem

In this paper, we consider the generalized min-sum set cover problem, introduced by Azar, Gamzu, and Yin [1]. Bansal, Gupta, and Krishnaswamy [2] give a 485approximation algorithm for the problem. We are able to alter their algorithm and analysis to obtain a 28-approximation algorithm, improving the performance guarantee by an order of magnitude. We use concepts from α-point scheduling to obtai...

Preemptive and Non-Preemptive Generalized Min Sum Set Cover

In the (non-preemptive) Generalized Min Sum Set Cover Problem, we are given n ground elements and a collection of sets S = {S1, S2, ..., Sm} where each set Si ∈ 2 has a positive requirement κ(Si) that has to be fulfilled. We would like to order all elements to minimize the total (weighted) cover time of all sets. The cover time of a set Si is defined as the first index j in the ordering such th...

Approximating Min - sum Set Cover 1 Uriel

Min-Sum Set Cover and Its Generalizations

Min Sum Set Cover and its Generalizations Name: Sungjin Im Affil./Addr. Electrical Engineering and Computer Science, University of California, Merced, CA, USA

Results on the min-sum vertex cover problem

Let G be a graph with the vertex set V (G), edge set E(G). A vertex labeling is a bijection f : V (G)→ {1, 2, . . . , |V (G)|}. The weight of e = uv ∈ E(G) is given by g(e) = min{f(u), f(v)}. The min-sum vertex cover (msvc) is a vertex labeling that minimizes the vertex cover number μs(G) = ∑ e∈E(G) g(e). The minimum such sum is called the msvc cost. In this paper, we give both general bounds a...