| 1982 |
Fulkerson Prize of the American Mathematical Society and Mathematical Programming Society |
| 1990 | Karl Heinz Beckurts Prize |
| 1991 | George B. Dantzig Prize of the MPS and SIAM |
| 1995 | Leibniz Prize of the Deutsche Forschungsgemeinschaft (DFG) |
| 1995 | Member of the Berlin-Brandenburgische Akademie der Wissenschaften |
| 1998 | Honorary Member of the Deutsche Mathematiker-Vereinigung |
| 1999 | Wissenschaftspreis
der Gesellschaft für Operations Research |
| 1999 | Foreign Associate of the National Academy of Engineering, USA |
| 2003 | Member of acatech - Konvent für Technikwissenschaften der Union der deutschen Akademien der Wissenschaften e.V. |
| 2004 | EURO Gold Medal 2004 (EURO - The Association of European Operational Research Societies) |
| 2005 | Member of Leopoldina (German Academy of Sciences) |
| 2006 | Alwin-Walther Medal for outstanding scientific work in applied mathematics
(TU Darmstadt) |
| 2006 | Doctor honoris causa (University of Karlsruhe) |
| 2006 | John von Neumann Theory Prize (Institute for Operations Research and the Management Sciences - INFORMS) |
| 2007 | Doctor honoris causa (Vietnamese Academy of Science and Technology - VAST) |
| 2008 |
Golden Badge of Honor of the TU Berlin |
| 2008 |
Honorary Doctorate (Otto-von-Guericke University Magdeburg) |
| 2008 |
Scientific Award of the Governing Mayor of Berlin |
| 2009 |
Fellow of the Society for Industrial and Applied Mathematics (SIAM) |
| 2010 |
Medal of Honour, Escuela Politécnica Nacional, Quito, Ecuador |
| 2010 |
SIAM Prize for Distinguished Service to the Profession |
| 2011 |
Honorary Doctorate (Augsburg University) |
| 2011 |
IBM Faculty Award |
| 2011 |
TUM Distinguished Affiliated Professor (TU Munich) |