In the application of welding processes, various factors have a decisive influence on the result. In most manufacturing processes the designer in charge assigns the methods and procedures to be followed, according to his experience or the quantitative influence he can establish of the factors. Throughout the development of manufacturing, different models have been proposed to implement a selection model for welding processes, which can include in a weighted way the affectation or benefits in quality, costs or skills to optimize the development of the application. This work compiled chronologically the works and systematically grouped them in the most relevant methods presented, generating a brief description of each one of them and grouping the authors, also analyzing some bibliographic factors that allow estimating the level of impact that these scientific productions have generated from indicators such as the number of citations or the publisher of application. Finally, this work shows a proposal for future research which, being already on the way to its development, anticipates new approaches and impacts in the chosen research area.