Abstract <p>Permutation matrices resulting from triangular factorization of shifted symmetric matrices with pivoting are used as initial approximations for a series of elementary permutations improving the objective function value in the quadratic assignment problem. The proposed method is tested on 128 test problems from QAPLIB.</p>

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Symmetric Triangular Factorization for Approximating Solutions of the Quadratic Assignment Problem

  • I. E. Kaporin

摘要

Abstract

Permutation matrices resulting from triangular factorization of shifted symmetric matrices with pivoting are used as initial approximations for a series of elementary permutations improving the objective function value in the quadratic assignment problem. The proposed method is tested on 128 test problems from QAPLIB.