2015
DOI: 10.1051/ro/2015010
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The Prize-collecting Call Control Problem on Weighted Lines and Rings

Abstract: 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 NP -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.

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Cited by 3 publications
(2 citation statements)
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“…Later, motivated by the research of prize-collecting Steiner tree problem [8], Li. et al [6] introduced the prize-collecting call control (PCCC) problem on lines, for which they designed a 1.58-approximation algorithm using a randomized rounding technique.…”
Section: Introductionmentioning
confidence: 99%
See 1 more Smart Citation
“…Later, motivated by the research of prize-collecting Steiner tree problem [8], Li. et al [6] introduced the prize-collecting call control (PCCC) problem on lines, for which they designed a 1.58-approximation algorithm using a randomized rounding technique.…”
Section: Introductionmentioning
confidence: 99%
“…et al [6], which is prize-collecting call control problem on lines, the description of this problem is as follows. Given [6] proved that the PCCC problem on lines is NP-hard.…”
Section: Introductionmentioning
confidence: 99%