Linear programming (LP) is a mathematical technique for optimizing a linear objective function subject to linear constraints. LP problems can be solved by various methods, such as cutting plane and ...

The cutting plane method is an iterative algorithm that begins with a feasible region containing the optimal solution of the LP problem and reduces it by adding linear inequalities (called cutting ...

[1] Koberstein, A. (2005). The dual simplex method, techniques for a fast and stable implementation. Unpublished doctoral thesis, Universität Paderborn, Paderborn ...

ABSTRACT: The purpose of this paper is to introduce a new pivot rule of the simplex algorithm. The simplex algorithm first presented by George B. Dantzig, is a widely used method for solving a linear ...

The simplex method is a fast and efficient algorithm for solving linear programming. Inspired by the optimization method and the simplex method in Seminar 1, this project considers programming the ...

Abstract: In this paper, we investigate the complexity of different algorithms for LP decoding for short BCH and LDPC codes. Two approaches have gained particular interest: The simplex algorithm and ...

Since its creation more than two decades ago by Daniel Spielman (above) and Shang-hua Teng, smoothed analysis has been used to analyze performance of algorithms other than the simplex method, ...

ABSTRACT: In this work, a new method is presented for determining the binding constraints of a general linear maximization problem. The new method uses only objective function values at points which ...

Abstract: An efficient LP decoder is the key building block for a maximum likelihood decoder based on integer programming. In this paper we propose to employ a variant of the simplex algorithm for LP ...