Set It and Forget It: Approximating the Set Once Strip Cover Problem

Details Set It and Forget It: Approximating the Set Once Strip Cover Problem Set It and Forget It: Approximating the Set Once Strip Cover Problem

2012-04-04

arxiv.org/abs/1204.1082v1

Computer Science

Data Structures and Algorithms

Scientific paper

We consider the Set Once Strip Cover problem, in which n wireless sensors are deployed over a one-dimensional region. Each sensor has a fixed battery that drains in inverse proportion to a radius that can be set just once, but activated at any time. The problem is to find an assignment of radii and activation times that maximizes the length of time during which the entire region is covered. We show that this problem is NP-hard. Second, we show that RoundRobin, the algorithm in which the sensors simply take turns covering the entire region, has a tight approximation guarantee of 3/2 in both Set Once Strip Cover and the more general Strip Cover problem, in which each radius may be set finitely-many times. Moreover, we show that the more general class of duty cycle algorithms, in which groups of sensors take turns covering the entire region, can do no better. Finally, we give an optimal O(n^2 log n)-time algorithm for the related Set Radius Strip Cover problem, in which all sensors must be activated immediately.

Affiliated with

Also associated with

No associations

Rating

Set It and Forget It: Approximating the Set Once Strip Cover Problem does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Set It and Forget It: Approximating the Set Once Strip Cover Problem, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Set It and Forget It: Approximating the Set Once Strip Cover Problem will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-211940