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- W2004376106 abstract "We consider the minimum cost edge installation problem(MCEI) in a graph G=(V, E) with edge weight w(e) ≥ 0, e ∈ E. We are given a vertex s ∈ V designated as a sink, an edge capacity λ > 0, and a source set S ⊆ V with demand q(v) ∈ [0, λ], v ∈ S. For each edge e ∈ E, we are allowed to install an integer number h(e) of copies of e. MCEI asks to send demand q(v) from each source v ∈ s along a single path Pv to the sink s without splitting the demand of any source v ∈ S. For each edge e ∈ E, a set of such paths can pass through a single copy of e in G as long as the total demand along the paths does not exceed the edge capacity λ. The objective is to find a set P = {Pv | v ∈ S} of paths of G that minimizes the installing cost ∑e∈E h(e) w(e). In this paper, we propose a (15/8+ρST)-approximation algorithm to MCEI, where ρST is any approximation ratio achievable for the Steiner tree problem." @default.
- W2004376106 created "2016-06-24" @default.
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- W2004376106 date "2010-01-01" @default.
- W2004376106 modified "2023-09-27" @default.
- W2004376106 title "Approximation to the Minimum Cost Edge Installation Problem" @default.
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- W2004376106 doi "https://doi.org/10.1587/transfun.e93.a.778" @default.
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