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:: Volume 5, Issue 2 (10-2014) ::
IJOR 2014, 5(2): 0-0 Back to browse issues page
Capacity Inverse Minimum Cost Flow Problem under the Weighted Hamming Distances
M Aman, J Tayyebi
Mathematics Department , javadtayyebi@birjand.ac.ir
Abstract:   (10858 Views)

Given an instance of the minimum cost flow problem, a version of the corresponding inverse problem, called the capacity inverse problem, is to modify the upper and lower bounds on arc flows as little as possible so that a given feasible flow becomes optimal to the modified minimum cost flow problem. The modifications can be measured by different distances. In this article, we consider the capacity inverse problem under the bottleneck-type and the sum-type weighted Hamming distances. In the bottleneck-type case, the binary search technique is applied to present an algorithm for solving the problem in O(nm log n) time. In the sum-type case, it is shown that the inverse problem is strongly NP-hard even on bipartite networks

Keywords: Combinatorial optimization, minimum cost flow problem, inverse problem, Hamming distance, complexity
Full-Text [PDF 623 kb]   (6151 Downloads)    
Type of Study: Original | Subject: Discrete Optimization
Received: 2015/04/15 | Accepted: 2015/06/17 | Published: 2015/06/17
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Volume 5, Issue 2 (10-2014) Back to browse issues page
مجله انجمن ایرانی تحقیق در عملیات Iranian Journal of Operations Research
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