TY - GEN A1 - Borndörfer, Ralf A1 - Grötschel, Martin A1 - Löbel, Andreas T1 - Optimization of Transportation Systems N2 - The world has experienced two hundred years of unprecedented advances in vehicle technology, transport system development, and traffic network extension. Technical progress continues but seems to have reached some limits. Congestion, pollution, and increasing costs have created, in some parts of the world, a climate of hostility against transportation technology. Mobility, however, is still increasing. What can be done? There is no panacea. Interdisciplinary cooperation is necessary, and we are going to argue in this paper that {\em Mathematics\/} can contribute significantly to the solution of some of the problems. We propose to employ methods developed in the {\em Theory of Optimization\/} to make better use of resources and existing technology. One way of optimization is better planning. We will point out that {\em Discrete Mathematics\/} provides a suitable framework for planning decisions within transportation systems. The mathematical approach leads to a better understanding of problems. Precise and quantitative models, and advanced mathematical tools allow for provable and reproducible conclusions. Modern computing equipment is suited to put such methods into practice. At present, mathematical methods contribute, in particular, to the solution of various problems of {\em operational planning}. We report about encouraging {\em results\/} achieved so far. T3 - ZIB-Report - SC-98-09 KW - Transportation Systems KW - Optimization KW - Discrete Mathematics Y1 - 1998 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:0297-zib-3529 ER - TY - CHAP A1 - Borndörfer, Ralf A1 - Grötschel, Martin A1 - Löbel, Andreas ED - Butzer, Paul Leo ED - Jongen, Hubertus ED - Oberschelp, Walter T1 - Alcuin’s Transportation Problems and Integer Programming T2 - Charlemagne and his Heritage. 1200 Years of Civilization and Science in Europe. Karl der Grosse und sein Nachwirken . 1200 Jahre Kultur und Wissenschaft in Europa Y1 - 1998 VL - 2 SP - 379 EP - 409 PB - Brepols Publisher CY - Turnhout ER - TY - JOUR A1 - Borndörfer, Ralf A1 - Ferreira, Carlos A1 - Martin, Alexander T1 - Decomposing Matrices into Blocks JF - SIAM J. Optim. Y1 - 1998 UR - http://opus.kobv.de/zib/volltexte/1997/285/ VL - 9 IS - 1 SP - 236 EP - 269 ER - TY - THES A1 - Borndörfer, Ralf T1 - Aspects of Set Packing, Partitioning, and Covering N2 - Diese Dissertation befaßt sich mit ganzzahligen Programmen mit 0/1 Systemen: SetPacking-, Partitioning- und Covering-Probleme. Die drei Teile der Dissertation behandeln polyedrische, algorithmische und angewandte Aspekte derartiger Modelle. Y1 - 1998 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:0297-zib-10126 ER - TY - THES A1 - Borndörfer, Ralf T1 - Aspects of Set Packing, Partitioning, and Covering Y1 - 1998 UR - http://opus.kobv.de/zib/volltexte/1998/1028/ ER -