A strongly polynomial algorithm for linear systems having a binary solution

作者:Chubanov Sergei*
来源:Mathematical Programming, 2012, 134(2): 533-570.
DOI:10.1007/s10107-011-0445-3

摘要

This paper proposes a strongly polynomial algorithm which either finds a solution of a linear system Ax = b, 0 a parts per thousand currency sign x a parts per thousand currency sign 1, or correctly decides that the system has no 0,1-solutions. The algorithm can be used as the basis for the construction of a polynomial algorithm for linear programming.

  • 出版日期2012-9