A new approach to solve a general system of linear inequalities based on NSGA-II

A set of inequalities are solved by graphical method or simplex method. But these methods have some drawbacks. Graphical method is conveniently applicable to a system containing two variables; while simplex method gives one solution at a time. So, in this work, a new approach to solve a general system of linear inequalities based on non-dominating sorting genetic algorithm-II (NSGA-II) is given. A brief description of NSGA-II with its use for multi-objective problems is given. We have also shown that this approach gives multiple solutions (Pareto-optimal fronts) in one single simulation run.