Variant 1 is a dual simplex algorithm without the row ratio test. In variants 2 and 3, the ideas of the bounding hyperplane method and MBU dual simplex algorithm are applied, respectively.

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 decoding, ...

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.

The branch-and-bound method with the revised dual simplex for bounded variables is very effective in solving relatively large-size integer linear programming problems. This paper, based on the general ...

The pivot rule thus monotonically builds up to a dual feasible, and hence optimal, basis. A surprising property is that the pivot sequence results in intermediate bases which are neither primal nor ...

Next, the algorithm chooses one of the problems associated with an active node and attempts to solve it using the dual simplex algorithm. The problem may be infeasible, in which case the problem is ...

Roughly, we will cover the following topics (some of them may be skipped depending on the time available). Linear Programming: Basics, Simplex Algorithm, and Duality. Applications of Linear ...