@misc{BorndoerferLoebelStrubbeetal., author = {Bornd{\"o}rfer, Ralf and L{\"o}bel, Andreas and Strubbe, Uwe and V{\"o}lker, Manfred}, title = {Zielorientierte Dienstplanoptimierung}, url = {http://nbn-resolving.de/urn:nbn:de:0297-zib-3847}, number = {SC-98-41}, abstract = {Dieser Artikel behandelt einen Ansatz zur zielorientierten Optimierung der Dienstplanung im {\"O}PNV. Der Ansatz zielt auf die vollst{\"a}ndige Ausnutzung aller planerischen Freiheitsgrade unter korrekter Ber{\"u}cksichtigung von gesetzlichen, tariflichen, technischen und betrieblichen Rahmenbedingungen. Er basiert auf mathematischen Optimierungstechniken, die wir gegenw{\"a}rtig in einem vom Bundesministerium f{\"u}r Bildung und Forschung ({\tt bmb+f}) gef{\"o}rderten Verbundprojekt in einer Kooperation zwischen der HanseCom GmbH, der IVU GmbH und dem Konrad-Zuse-Zentrum f{\"u}r Informationstechnik Berlin entwickeln. Es ist geplant, das Verfahren in die Softwareprodukte HOT II, MICROBUS II und OPUS zu integrieren. Verhandlungen mit den Berliner Verkehrsbetrieben {\"u}ber eine Projektbeteiligung und Integration unserer Software in BERTA sind zur Zeit im Gang. Wir beschreiben die Methodik des Ansatzes, diskutieren Aspekte seiner praktischen Verwendung, und wir berichten {\"u}ber den Stand der Entwicklung.}, language = {de} } @misc{BorndoerferLoebelReutheretal., author = {Bornd{\"o}rfer, Ralf and L{\"o}bel, Andreas and Reuther, Markus and Schlechte, Thomas and Weider, Steffen}, title = {Rapid Branching}, issn = {1438-0064}, url = {http://nbn-resolving.de/urn:nbn:de:0297-zib-14728}, number = {12-10}, abstract = {We propose rapid branching (RB) as a general branch-and-bound heuristic for solving large scale optimization problems in traffic and transport. The key idea is to combine a special branching rule and a greedy node selection strategy in order to produce solutions of controlled quality rapidly and efficiently. We report on three successful applications of the method for integrated vehicle and crew scheduling, railway track allocation, and railway vehicle rotation planning.}, language = {en} } @misc{BorndoerferLangenhanLoebeletal., author = {Bornd{\"o}rfer, Ralf and Langenhan, Andreas and L{\"o}bel, Andreas and Schulz, Christof and Weider, Steffen}, title = {Duty Scheduling Templates}, issn = {1438-0064}, url = {http://nbn-resolving.de/urn:nbn:de:0297-zib-14699}, number = {12-09}, abstract = {We propose duty templates as a novel concept to produce similar duty schedules for similar days of operation in public transit. Duty templates can conveniently handle various types of similarity requirements, and they can be implemented with ease using standard algorithmic techniques. They have produced good results in practice.}, language = {en} } @misc{BorndoerferGroetschelLoebel, author = {Bornd{\"o}rfer, Ralf and Gr{\"o}tschel, Martin and L{\"o}bel, Andreas}, title = {Optimization of Transportation Systems}, url = {http://nbn-resolving.de/urn:nbn:de:0297-zib-3529}, number = {SC-98-09}, abstract = {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.}, language = {en} } @misc{BorndoerferGroetschelLoebel, author = {Bornd{\"o}rfer, Ralf and Gr{\"o}tschel, Martin and L{\"o}bel, Andreas}, title = {Duty Scheduling in Public Transit}, doi = {10.1007/978-3-642-55753-8_50}, url = {http://nbn-resolving.de/urn:nbn:de:0297-zib-6286}, number = {01-02}, abstract = {This article is about \emph{adaptive column generation techniques} for the solution of duty scheduling problems in public transit. The current optimization status is exploited in an adaptive approach to guide the subroutines for duty generation, LP resolution, and schedule construction toward relevant parts of a large problem. Computational results for three European scenarios are reported.}, language = {en} }