Every day a large number of problems are studied and analyzed where modeling in the form of networks is a way of being more efficient in the search for efficient results for companies, organizations, associations and even in problems of particular interest, at each moment gradually the number of Study requirements of this type of case are becoming more frequent, this research document tries to show an alternative way of finding a solution to problems that can be very complicated, since they can exponentially increase the modeling as a whole of equations and feasible spaces hence the importance of remembering interesting linear programming algorithms as a source of inspiration for the state of the art that allows it to be viewed by researchers as a useful tool in large-scale network problems, sometimes small prototypes can provide solutions of powerful in a simple way and without a high cost of implementation where creativity is the way to find search solutions.