Manuel V.C. Vieira obtained his PhD from TU Delft, The Netherlands, in 2008. In his research, he covered topics such as interior-point methods, satisfiability and more recently he gained interest in applying mathematical optimization to problems originated from industry. Namely, Layout problems and container loading problem. He and Miguel F. Anjos have been researched variants of the layout  such as unequal-areas facility layout and multi-row facility layout problems.

He has been guest-editor of the information systems and operational research journal. He is currently Assistant Professor at Nova University of Lisbon, member of CMA-UNL and GERAD.