A better approximation algorithm for the budget prize collecting tree problem

A better approximation algorithm for the budget prize collecting tree problem

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Article ID: iaor20051036
Country: Netherlands
Volume: 32
Issue: 4
Start Page Number: 316
End Page Number: 319
Publication Date: Jul 2004
Journal: Operations Research Letters
Authors:
Keywords: combinatorial analysis, heuristics
Abstract:

Given an undirected graph G=(V,E), an edge cost c(e)⩾0 for each edge eE, a vertex prize p(v)⩾0 for each vertex vV, and an edge budget B. The budget prize collecting tree problem is to find a subtree T′(V′,E′) that maximizes Σv∈V′ p(v), subject to Σe∈E′ c(e)⩽B. We present a (4+ϵ)-approximation algorithm.

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