Polynomial algorithm for the path facility location problem with uniform capacities
Diskretnyj analiz i issledovanie operacij, Tome 16 (2009) no. 5, pp. 3-18

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The Facility Location Problem with uniform capacities on path graphs is considered. Earlier it was shown by Ageev that this problem can be solved in $O(m^3n^3+m^5n^2)$ time, where $m$ is the number of facilities and $n$ is the number of clients. In the paper the modified algorithm is presented that has reduced infinitesimal order for the time complexity $O(m^4n^2)$. Ill. 9, bibl. 24.
Keywords: facility location, uniform capacities, path graphs
Mots-clés : polynomial-time algorithm.
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A. A. Ageev; E. Kh. Gimadi; A. A. Kurochkin. Polynomial algorithm for the path facility location problem with uniform capacities. Diskretnyj analiz i issledovanie operacij, Tome 16 (2009) no. 5, pp. 3-18. http://geodesic.mathdoc.fr/item/DA_2009_16_5_a0/