Note on “Inverse minimum cost flow problems under the weighted Hamming distance”

Javad Tayyebi and Massoud Aman

European Journal of Operational Research, 2014, vol. 234, issue 3, 916-920

Abstract: Jiang et al. proposed an algorithm to solve the inverse minimum cost flow problems under the bottleneck-type weighted Hamming distance [Y. Jiang, L. Liu, B. Wuc, E. Yao, Inverse minimum cost flow problems under the weighted Hamming distance, European Journal of Operational Research 207 (2010) 50–54]. In this note, it is shown that their proposed algorithm does not solve correctly the inverse problem in the general case due to some incorrect results in that article. Then, a new algorithm is proposed to solve the inverse problem in strongly polynomial time. The algorithm uses the linear search technique and solves a shortest path problem in each iteration.

Keywords: Combinatorial optimization; Minimum cost flow problem; Inverse problem; Hamming distance (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:234:y:2014:i:3:p:916-920

DOI: 10.1016/j.ejor.2013.11.014

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