Day after day Additive Manufacturing (AM) process is gaining increasing importance as the process allows manufacturing with literally no waste while most complex shapes could be between the users¿ hands at home. Industries have recognized the significant role this technology could play in the fourth industrial revolution. Emphasizing this fact, the present Final Year Project is about summarizing the researches that target modeling and optimization of the AM process. Over 50 contemporary studies on Modeling of Additive Manufacturing were collected and chronologically presented. The researches accentuate modeling in AM punctuating from 2003 to 2018. On the other hand, in addressing optimization, 49 studies were also collected and presented chronologically published from 1999 till 2018. Our results have shown that most of the researches on modeling and optimization were published in years 2016 and 2017. This indeed showed the increasing importance of AM (including 3D-Printing technologies). Our survey should help professionals get more information in a shorter period of time as most of the results are listed in this project.