Inverse 1-Median Problem on Block Graphs with Variable Vertex Weights

Kien Trung Nguyen ()
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Kien Trung Nguyen: Cantho University

Journal of Optimization Theory and Applications, 2016, vol. 168, issue 3, No 12, 944-957

Abstract: Abstract This paper addresses the problem of modifying the vertex weights of a block graph at minimum total cost so that a prespecified vertex becomes a 1-median of the perturbed graph. We call this problem the inverse 1-median problem on block graphs with variable vertex weights. For block graphs with equal edge lengths in each block, we can formulate the problem as a univariate optimization problem. By the convexity of the objective function, the local optimizer is also the global one. Therefore, we use the convexity to develop an $$O(M\log M)$$ O ( M log M ) algorithm that solves the problem on block graphs with M vertices.

Keywords: Location problem; Inverse optimization; Continuous knapsack problem; Block graph; Convex; 90B10; 90B80; 90C27 (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (11)

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DOI: 10.1007/s10957-015-0829-2

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