This study focused on seven of the most used bus line of the public transport in (Corregimiento) Ancon, which was administrated by the United States government until 1979. Under Panamanian administration, these areas have become an alternative for the development and expansion of Panama City, it has led to constant movements of persons from different social strata, who work, make use of the facilities or carry out procedures. Alongside the public transportation has undergone substantial change in service due to the large volume of users, expansion of roads, introduction of new routes between the existing logistics and the complete renovation of the equipment. The study was divided in two phases, for a better understanding of the problem. During the first phase, were implemented all the necessary activities to become familiar with the logistic of transportation service in order to get accurate data, which could help us to extract information and to identify variables which can be use for a complete analysis of the problem. In the second phase was making a representation of the user’s behavior through probabilistic model and specify the queue model associated to the system. This could give us bases to propose a solution.