Given a set of request calls with different demands and penalty costs, the prize-collecting call control (PCCC) problem is to minimize the sum of the maximum load on the edges and the total penalty cost of the rejected calls. In this paper, we prove that the PCCC problem on weighted lines is -hard even for special cases, and design a 1.582-approximation algorithm using a randomized rounding technique. In addition, we consider some special cases of the PCCC problem on weighted lines and rings.
Accepté le :
DOI : 10.1051/ro/2015010
Mots clés : Prize-collecting, call control, approximation algorithms
@article{RO_2016__50_1_39_0,
author = {Li, Weidong and Li, Jianping and Guan, Li and Shi, Yaomin},
title = {The {Prize-collecting} {Call} {Control} {Problem} on {Weighted} {Lines} and {Rings}},
journal = {RAIRO - Operations Research - Recherche Op\'erationnelle},
pages = {39--46},
publisher = {EDP-Sciences},
volume = {50},
number = {1},
year = {2016},
doi = {10.1051/ro/2015010},
mrnumber = {3460661},
zbl = {1333.90110},
language = {en},
url = {http://archive.numdam.org/articles/10.1051/ro/2015010/}
}
TY - JOUR AU - Li, Weidong AU - Li, Jianping AU - Guan, Li AU - Shi, Yaomin TI - The Prize-collecting Call Control Problem on Weighted Lines and Rings JO - RAIRO - Operations Research - Recherche Opérationnelle PY - 2016 SP - 39 EP - 46 VL - 50 IS - 1 PB - EDP-Sciences UR - http://archive.numdam.org/articles/10.1051/ro/2015010/ DO - 10.1051/ro/2015010 LA - en ID - RO_2016__50_1_39_0 ER -
%0 Journal Article %A Li, Weidong %A Li, Jianping %A Guan, Li %A Shi, Yaomin %T The Prize-collecting Call Control Problem on Weighted Lines and Rings %J RAIRO - Operations Research - Recherche Opérationnelle %D 2016 %P 39-46 %V 50 %N 1 %I EDP-Sciences %U http://archive.numdam.org/articles/10.1051/ro/2015010/ %R 10.1051/ro/2015010 %G en %F RO_2016__50_1_39_0
Li, Weidong; Li, Jianping; Guan, Li; Shi, Yaomin. The Prize-collecting Call Control Problem on Weighted Lines and Rings. RAIRO - Operations Research - Recherche Opérationnelle, Tome 50 (2016) no. 1, pp. 39-46. doi : 10.1051/ro/2015010. http://archive.numdam.org/articles/10.1051/ro/2015010/
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