In this paper, we propose two new perturbation simplex variants. Solving linear programming problems without introducing artificial variables, each of the two uses the dual pivot rule to achieve ...

The death of mathematician George Dantzig is a scientific watershed. Dantzig developed "linear programming" and the simplex method, used to solve complex efficiency problems for large organizations.

SIAM Journal on Applied Mathematics, Vol. 20, No. 2 (Mar., 1971), pp. 143-160 (18 pages) We present a computational method for solving quadratic programming problems which reduces to the revised ...

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