On the optimal reduction of the costs matrix
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Kazanskii Gosudarstvennyi Universitet. Uchenye Zapiski. Seriya Fiziko-Matematichaskie Nauki, Tome 148 (2006) no. 2, pp. 18-22

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In this paper procedure of reduction used by some methods of search of the exact solution of assignments problem and problems of the traveling salesman is considered. The conception of optimal reduction of the matrix, providing a maximum of the sum of reduction constants is offered and its some properties are discussed.
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     title = {On the optimal reduction of the costs matrix},
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I. F. Borkhanov; V. R. Fazylov. On the optimal reduction of the costs matrix. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Kazanskii Gosudarstvennyi Universitet. Uchenye Zapiski. Seriya Fiziko-Matematichaskie Nauki, Tome 148 (2006) no. 2, pp. 18-22. http://geodesic.mathdoc.fr/item/UZKU_2006_148_2_a1/