The most common mathematical problem related to a water distribution network is not the design process but the calibration process of an existent network due to the leaks presence. The calibration process gives a model that offers a functional tool to do, among others things: to detect the problem areas in the network, to simulate possible operational and maintenance changes to reach possible solutions to the quality problems of the water received by the final users, to detect high leak concentrations and to test optimal operational pressure methods. None of these tasks, used in a program of integral management of potable water distribution network can be implemented without the calibrated model. This article summarizes most of the techniques as experiences of CIACUA (Water Supply and Sewerage Systems Research Center at Universidad de los Andes, Bogotá, Colombia) in solving the calibration problem of water networks under losses environment, in particular with genetic algorithms. The genetic algorithms have proved its effectiveness at the time of developing the calibration of a potable water distribution network that operates under a leaks environment. However, this kind of algorithms requires a lot of iterations, which makes a slow process. The article process the development of new methods to make use of the best characteristics of each one of the artificial intelligence available tools instead of generating a new algorithm more effective than the ones used currently. In the calibration process the values of some measured field variables are compared between them for which certain pipe characteristics are adjusted, such as, roughness, diameters, coefficients of minor losses, leaks, etc. Each change that is carried out upon a characteristic is done upon specific group, not upon an individual pipe; this procedure is made in order to keep the hydraulic criteria and to do not arrive with meaningless physical solutions; also each variable is related to a probabilistic distribution determined by some criteria. In this article is shown the methodology applied in a Bogotá area where satisfactory results were obtained.