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SYMMETRIC TRIANGULAR DECOMPOSITION FOR CONSTRUCTING APPROXIMATIONS TO SOLVING THE QUADRATIC ASSIGNMENT PROBLEM
- Authors: Kaporin I.E1
-
Affiliations:
- Federal Research Center "Computer Science and Control", RAS
- Issue: Vol 65, No 7 (2025)
- Pages: 1110-1117
- Section: General numerical methods
- URL: https://ruspoj.com/0044-4669/article/view/688551
- DOI: https://doi.org/10.31857/S0044466925070043
- EDN: https://elibrary.ru/JXKTTA
- ID: 688551
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Abstract
The permutation matrices that arise in the process of triangular decomposition of shifted symmetric matrices with the choice of the maximum modulo leading element on the diagonal are used as initial approximations for a series of elementary permutations that improve the target value of the quadratic assignment problem. The results of testing the proposed method on 128 test tasks from QAPLIB are presented.
About the authors
I. E Kaporin
Federal Research Center "Computer Science and Control", RAS
Email: igorkaporin@mail.ru
Moscow, Russia
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