Preemptive and non-preemptive generalized min sum set cover

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...

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...

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

Approximating Min - sum Set Cover 1 Uriel

Linear programming based algorithms for preemptive and non-preemptive RCPSP

In this paper, the RCPSP (Resource Constrained Project Scheduling Problem) is solved using a linear programming model. Each activity may or may not be preemptive. Each variable is associated to a subset of independent activities (antichains). The properties of the model are first investigated. In particular, conditions are given that allow a solution of the linear program to be a feasible sched...