TR06-030 Authors: Piotr Berman, Jieun Jeong, Shiva Prasad Kasiviswanathan, Bhuvan Urgaonkar

Publication: 6th March 2006 16:46

Downloads: 1357

Keywords:

In our problem we are given a set of customers, their positions on the

plane and their demands. Geometrically, directional antenna with

parameters $\alpha,\rho,R$ is a set

of points with radial coordinates $(\theta,r)$ such that

$\alpha \le \theta \le \alpha+\rho$ and $r \le R$. Given a set of

possible directional antennas we want to cover all customers positions

so that the demands of customers assigned to an antenna stay within

a bound. We provide approximation algorithms for three versions

of this cover problem.