For the flow of fluids to occur in a production system, the fluids energy in the reservoir must be capable of overcoming load losses along various system components. Fluids must flow from the reservoir to the surface separators through the wells tubing, wellhead equipment and flowing lines. The production system design must not be executed by considering separately the performance of the reservoir and the flow calculation across the tubing, surface equipment and lines. The evaluation of a gas production system performance requires applying a total analysis method that considers the drainage at various system segments simultaneously. The total analysis of a production system can be effected through a graphical- analytical method to be used for the completion design of oil and gas wells with or without artificial lift. In terms of total analysis concept, a production system is basically comprised of the following components: reservoir, vertical tubing, horizontal flow lines and separator, including bottom-hole valves and surface choke, where some pressure loss occurs in relation to the flow rate. The flow behavior of each component in a total production system is represented by an equation that relates the pressure at one selected node and the production flow rate. The sequential pressure calculation at the different nodes of various system components allows determining the well s production flow rate. In order to calculate the relationship between the flow rate and the pressure changes that occur during fluid transportation to the surface, with the resulting variation of the fluid s engineering, flow correlations in vertical and horizontal tubing, and restrictions. Finally, we proceeded to analyze the methodology s sensitivity to the use of different flow performance relations and flow calculation methods in wells and lines.