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A WEIGHTED INVERSE MINIMUM CUT PROBLEM UNDER THE BOTTLENECK TYPE HAMMING DISTANCE

Longcheng Liu () and Enyu Yao ()
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Longcheng Liu: Department of Mathematics, Zhejiang University, Hangzhou, China
Enyu Yao: Department of Mathematics, Zhejiang University, Hangzhou, China

Asia-Pacific Journal of Operational Research (APJOR), 2007, vol. 24, issue 05, 725-736

Abstract: An inverse optimization problem is defined as follows. LetSdenote the set of feasible solutions of an optimization problemP, letcbe a specified cost (capacity) vector, andx0∈ S. We want to perturb the cost (capacity) vectorctodso thatx0is an optimal solution ofPwith respect to the cost (capacity) vectord, and to minimize some objective function. In this paper, we consider the weighted inverse minimum cut problem under the bottleneck type Hamming distance. For the general case, we present a combinatorial algorithm that runs in strongly polynomial time.

Keywords: Minimum cut; inverse problem; hamming distance; strongly polynomial algorithm (search for similar items in EconPapers)
Date: 2007
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Citations: View citations in EconPapers (3)

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DOI: 10.1142/S0217595907001474

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