The literature in the field of interior point methods for Linear Programming has been almost exclusively algorithmic … oriented. Very few contributions have been made towards the theory of Linear Programming itself. In particular none of them … offer a simple, self-contained introduction to the theory of Linear Programming and linear inequalities. The purpose of this …

We attempt to unify a linear programming model with a rule-based system via overlapped decision variables. Since a rule …

We propose a polynomial time primal-dual potential reduction algorithm for linear programming. Unlike any other … matrices. For a standard linear programming problem, the number of operations required is [TeX: ${\\cal O}(mn)$] per main …

primal-dual linear programming formulations. The game's solution contains specialized information which may be used to …