The European Conference on Computational Optimization (EUCCO) series began back in 2004 and is scheduled to take place for the 5th time. The first conference happened in Dresden, Germany, with the following conference moving to Montpellier, France in 2007. The 2013 meeting was held in Chemnitz, Germany, following by the 4th EUCCO in 2016, at KU Leuven, Belgium.The University of Trier is honored to be the 2018 organizer of the 5th European Conference on Computational Optimization, scheduled to take place at Trier University.The scope of the conference series is quite broad as it aims to bring together scientists from a diversity of subdisciplines from the fields of computational optimization, algorithms and applications. The current edition will have special emphasis on certain aspects of optimization found in the section sessions while still keeping its more traditional focus on large scale optimization, optimization with partial differential equations and numerical optimization algorithms and software.