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On the inverse maximum perfect matching problem under the bottleneck-type Hamming distance | ||
| Communications in Combinatorics and Optimization | ||
| مقاله 4، دوره 4، شماره 1، شهریور 2019، صفحه 35-46 اصل مقاله (520.59 K) | ||
| نوع مقاله: Original paper | ||
| شناسه دیجیتال (DOI): 10.22049/cco.2018.26231.1087 | ||
| نویسنده | ||
| Javad Tayyebi* | ||
| Birjand university of technology | ||
| چکیده | ||
| Given an undirected network $G(V,A,c)$ and a perfect matching $M$ of $G$, the inverse maximum perfect matching problem consists of modifying minimally the elements of c so that M becomes a maximum perfect matching with respect to the modified vector. In this article, we consider the inverse problem when the modifications are measured by the weighted bottleneck-type Hamming distance. We propose an algorithm based on the binary search technique for solving the problem. Our proposed algorithm has a better time complexity than the one presented in [13]. We also study the inverse assignment problem as a special case of the inverse maximum perfect matching problem in which the network is bipartite and present an efficient algorithm for solving the problem. Finally, we compare the algorithm with those presented in the literature. | ||
| کلیدواژهها | ||
| Inverse problem؛ Hamming distance؛ perfect matching؛ binary search | ||
| مراجع | ||
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[16] J. Tayyebi and M. Aman, Note on“inverse minimum cost flow problems under the weighted hamming distance”, European J. Oper. Res. 234 (2014), no. 3, 916–920.
[17] J. Tayyebi and M. Aman, On inverse linear programming problems under the bottleneck-type weighted hamming distance, Discrete Appl. Math. 240 (2018), 92–101. | ||
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