A Genuinely Polynomial Primal Simplex Algorithm for the Assignment Problem

  title={A Genuinely Polynomial Primal Simplex Algorithm for the Assignment Problem},
  author={Mustafa Akg{\"u}l},
  journal={Discrete Applied Mathematics},
Akgiil, M., A genuinely polynomial primal simplex algorithm for the assignment problem, Discrete Applied Mathematics 45 (1993) 93-l 15. We present a primal simplex algorithm that solves the assignment problem in :n(n+3)-4 pivots. Starting with a problem of size 1, we sequentially solve problems of size 2,3,4,. ..,lt. The algorithm utilizes degeneracy by working with strongly feasible trees and employs Dantdg’s rule for entering edges for the subproblem. The number of nondegenerate simplex… CONTINUE READING
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