Range assignment of base-stations maximizing coverage area without interference.

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14330%2F20%3A00114102" target="_blank" >RIV/00216224:14330/20:00114102 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.1016/j.tcs.2019.10.044" target="_blank" >http://dx.doi.org/10.1016/j.tcs.2019.10.044</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.tcs.2019.10.044" target="_blank" >10.1016/j.tcs.2019.10.044</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Range assignment of base-stations maximizing coverage area without interference.

Popis výsledku v původním jazyce

We study the problem of assigning non-overlapping geometric objects centered at a given set of points such that the sum of area covered by them is maximized. The problem remains open since 2002, as mentioned in a lecture slide of David Eppstein. In this paper, we have performed an exhaustive study on the problem. We show that, if the points are placed in R-2 then the problem is NP-hard even for simplest type of covering objects like disks or squares. In contrast, Eppstein (2017) [10] proposed a polynomial time algorithm for maximizing the sum of radii (or perimeter) of non-overlapping disks when the points are arbitrarily placed in R-2. We show that Eppstein's algorithm for maximizing sum of perimeter of the disks in R-2 gives a 2-approximation solution for the sum of area maximization problem. We also propose a PTAS for the same problem. Our results can be extended in higher dimensions as well as for a class of centrally symmetric convex objects.

Název v anglickém jazyce

Range assignment of base-stations maximizing coverage area without interference.

Popis výsledku anglicky

We study the problem of assigning non-overlapping geometric objects centered at a given set of points such that the sum of area covered by them is maximized. The problem remains open since 2002, as mentioned in a lecture slide of David Eppstein. In this paper, we have performed an exhaustive study on the problem. We show that, if the points are placed in R-2 then the problem is NP-hard even for simplest type of covering objects like disks or squares. In contrast, Eppstein (2017) [10] proposed a polynomial time algorithm for maximizing the sum of radii (or perimeter) of non-overlapping disks when the points are arbitrarily placed in R-2. We show that Eppstein's algorithm for maximizing sum of perimeter of the disks in R-2 gives a 2-approximation solution for the sum of area maximization problem. We also propose a PTAS for the same problem. Our results can be extended in higher dimensions as well as for a class of centrally symmetric convex objects.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

Projekt

<a href="/cs/project/GA17-00837S" target="_blank" >GA17-00837S: Strukturální vlastnosti, parametrizovaná řešitelnost a těžkost v kombinatorických problémech</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2020

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Theoretical Computer Science

ISSN

0304-3975

e-ISSN

1879-2294

Svazek periodika

804

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

17

Strana od-do

81-97

Kód UT WoS článku

000510312500006

EID výsledku v databázi Scopus

2-s2.0-85075382130