Moreover, a new, ratio-test-free pivoting rule is proposed, significantly reducing computational cost at each iteration. Our numerical experiments show that the method is very promising, at least for ...

Abstract: In this paper, based on the rotary iteration transformation in the simplex method, an artificial variable return-to-zero (RZ) algorithm is proposed to decide whether some condition ...

Learn what are transportation problems, how to solve them using linear programming and the simplex method, and what are the benefits and drawbacks of this technique.

The book also addresses linear programming duality theory and its use in algorithm design as well as the Dual Simplex Method, Dantzig-Wolfe decomposition, and a primal-dual interior point algorithm.

Ron Shamir, Probabilistic Analysis in Linear Programming, Statistical Science, Vol. 8, No. 1, Report from the Committee on Applied and Theoretical Statistics of the National Research Council on ...