@misc{GroetschelDalitzWinczewski1998, author = {Gr{\"o}tschel, Martin and Dalitz, Wolfgang and Winczewski, Vincent}, title = {Math-Net: Ein Informationssystem der Mathematik}, url = {http://nbn-resolving.de/urn:nbn:de:0297-zib-3680}, number = {SC-98-25}, year = {1998}, abstract = {In diesem Artikel geben wir einen {\"U}berblick {\"u}ber das Math-Net-Projekt. Wir berichten {\"u}ber die organisatorischen und technischen Vorgehensweisen beim Aufbau eines verteilten Informationssystems f{\"u}r die Mathematik in Deutschland.}, language = {de} } @misc{GroetschelLuegger1998, author = {Gr{\"o}tschel, Martin and L{\"u}gger, Joachim}, title = {Scientific Information Systems and Metadata}, url = {http://nbn-resolving.de/urn:nbn:de:0297-zib-3698}, number = {SC-98-26}, year = {1998}, abstract = {This article begins with a short survey on the history of the classification of knowledge. It briefly discusses the traditional means of keeping track of scientific progress, i.e., collecting, classifying, abstracting, and reviewing all publications in a field. The focus of the article, however, is on modern electronic information and communication systems that try to provide high-quality information by automatic document retrieval or by using metadata, a new tool to guide search engines. We report, in particular, on efforts of this type made jointly by a number of German scientific societies. A full version of this paper including all hypertext references, links to online papers and references to the literature can be found under the URL: {\tt http://elib.zib.de/math.org.softinf.pub} .}, language = {en} } @misc{AbdelHamidAscheuerGroetschel1998, author = {Abdel-Hamid, Atef Abdel-Aziz and Ascheuer, Norbert and Gr{\"o}tschel, Martin}, title = {Order Picking in an Automatic Warehouse: Solving Online Asymmetric TSPs}, url = {http://nbn-resolving.de/urn:nbn:de:0297-zib-3519}, number = {SC-98-08}, year = {1998}, abstract = {We report on a joint project with industry that had the aim to sequence transportation requests within an automatic storage system in such a way that the overall travel time is minimized. The manufacturing environment is such that scheduling decisions have to be made before all jobs are known. We have modeled this task as an \emph{online} Asymmetric Traveling Salesman Problem (ATSP). Several heuristics for the online ATSP are compared computationally within a simulation environment to judge which should be used in practice. Compared to the priority rule used so far, the optimization package reduced the unloaded travel time by about 40~\\%. Because of these significant savings our procedure was implemented as part of the control software for the stacker cranes of the storage systems.}, language = {en} } @misc{BorndoerferGroetschelLoebel1998, 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}, year = {1998}, 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{BleyGroetschelWessaely1998, author = {Bley, Andreas and Gr{\"o}tschel, Martin and Wess{\"a}ly, Roland}, title = {Design of Broadband Virtual Private Networks: Model and Heuristics for the B-WiN}, url = {http://nbn-resolving.de/urn:nbn:de:0297-zib-3565}, number = {SC-98-13}, year = {1998}, abstract = {We investigate the problem of designing survivable broadband virtual private networks that employ the Open Shortest Path First (OSPF) routing protocol to route the packages. The capacities available for the links of the network are a minimal capacity plus multiples of a unit capacity. Given the directed communication demands between all pairs of nodes, we wish to select the capacities in a such way, that even in case of a single node or a single link failure a specified percentage of each demand can be satisfied and the costs for these capacities are minimal. We present a mixed--integer linear programming formulation of this problem and several heuristics for its solution. Furthermore, we report on computational results with real-world data.}, language = {en} } @incollection{Groetschel2005, author = {Gr{\"o}tschel, Martin}, title = {Der junge Albring und Schwelm}, booktitle = {Der Forscher und der Zweifler - Werner Albring zum 90. Geburtstag}, editor = {der Wissenschaften, Berlin-Brandenburgische}, publisher = {Berlin-Brandenburgische Akademie der Wissenschaften}, pages = {11 -- 35}, year = {2005}, language = {en} } @incollection{GroetschelHillerTuchscherer2009, author = {Gr{\"o}tschel, Martin and Hiller, Benjamin and Tuchscherer, Andreas}, title = {Structuring a Dynamic Environment}, booktitle = {Emergence, Analysis and Evolution of Structures. Concepts and Strategies Across Disciplines}, editor = {Lucas, Klaus and Roosen, Peter}, publisher = {Springer}, doi = {10.1007/978-3-642-00870-2}, pages = {199 -- 214}, year = {2009}, language = {en} } @incollection{GroetschelKochHoang2010, author = {Gr{\"o}tschel, Martin and Koch, Thorsten and Hoang, Nam-Dung}, title = {Lagenwechsel minimieren - oder das Bohren von L{\"o}chern in Leiterplatten}, booktitle = {Besser als Mathe}, editor = {Biermann, Katja and Gr{\"o}tschel, Martin and Lutz-Westphal, Brigitte}, publisher = {Vieweg+Teubner}, doi = {10.1007/978-3-658-01004-1_19}, pages = {161 -- 174}, year = {2010}, language = {en} } @incollection{Groetschel2008, author = {Gr{\"o}tschel, Martin}, title = {Tiefensuche}, volume = {58}, booktitle = {Kosmos und Zahl - Beitr{\"a}ge zur Mathematik- und Astronomiegeschichte, zu Alexander von Humboldt und Leibniz}, editor = {Hecht, Hartmut and Mikosch, Regina and Schwarz, Ingo and Siebert, Harald and Werther, Romy}, publisher = {Franz Steiner Verlag}, pages = {331 -- 346}, year = {2008}, language = {en} } @incollection{GroetschelLuegger2007, author = {Gr{\"o}tschel, Martin and L{\"u}gger, Joachim}, title = {Die Wissenschaftsgalaxis}, booktitle = {eUniversity - Update Bologna}, editor = {Keil, Reinhard and Kerres, Michael and Schulmeister, Rolf}, publisher = {Waxmann Verlag}, pages = {335 -- 354}, year = {2007}, language = {en} } @incollection{Groetschel2008, author = {Gr{\"o}tschel, Martin}, title = {Geistiges Eigentum - Eine Zusammenfassung der vorgetragenen Standpunkte}, volume = {Heft 7}, booktitle = {Geistiges Eigentum - Streitgespr{\"a}che in den Wissenschaftlichen Sitzungen der Versammlung der Berlin-Brandenburgischen Akademie der Wissenschaften}, editor = {der Wissenschaften, Berlin-Brandenburgische}, publisher = {Berlin-Brandenburgische Akademie der Wissenschaften}, pages = {89 -- 95}, year = {2008}, language = {en} } @incollection{Groetschel2008, author = {Gr{\"o}tschel, Martin}, title = {Geistiges Eigentum - Einf{\"u}hrung in das Thema}, volume = {Heft 7}, booktitle = {Geistiges Eigentum - Streitgespr{\"a}che in den Wissenschaftlichen Sitzungen der Versammlung der Berlin-Brandenburgischen Akademie der Wissenschaften}, editor = {der Wissenschaften, Berlin-Brandenburgische}, publisher = {Berlin-Brandenburgische Akademie der Wissenschaften}, pages = {9 -- 14}, year = {2008}, language = {en} } @incollection{Groetschel2007, author = {Gr{\"o}tschel, Martin}, title = {Schnelle Rundreisen}, booktitle = {Kombinatorische Optimierung erleben - In Studium und Unterricht}, editor = {Hußmann, Stephan and Lutz-Westphal, Brigitte}, publisher = {Vieweg}, address = {Wiesbaden}, pages = {95 -- 128}, year = {2007}, language = {en} } @misc{Groetschel2007, author = {Gr{\"o}tschel, Martin}, title = {Das Problem mit der Komplexit{\"a}t}, journal = {Kombinatorische Optimierung erleben - In Studium und Unterricht}, editor = {Hußmann, Stephan and Lutz-Westphal, Brigitte}, publisher = {Vieweg}, address = {Wiesbaden}, doi = {10.1007/978-3-8348-9120-4_9}, pages = {265 -- 274}, year = {2007}, language = {en} } @incollection{Groetschel2004, author = {Gr{\"o}tschel, Martin}, title = {Cardinality Homogeneous Set Systems, Cycles in Matroids, and Associated Polytopes}, booktitle = {The Sharpest Cut}, editor = {Gr{\"o}tschel, Martin}, publisher = {MPS-SIAM}, pages = {99 -- 120}, year = {2004}, language = {en} } @incollection{Groetschel2005, author = {Gr{\"o}tschel, Martin}, title = {In der Mathematik sind sich alle einig und die Gesellschaft hat von ihr nichts zu bef{\"u}rchten}, volume = {2}, booktitle = {Wissenschaft Kontrovers}, publisher = {Chronos, Edition Collegium Helveticum}, address = {Z{\"u}rich}, year = {2005}, language = {en} } @incollection{Groetschel2008, author = {Gr{\"o}tschel, Martin}, title = {Ohne x is nix}, volume = {14}, booktitle = {Berichte und Abhandlungen}, editor = {der Wissenschaften, Berlin-Brandenburgische}, publisher = {Akademie-Verlag}, address = {Berlin}, pages = {195 -- 219}, year = {2008}, language = {en} } @misc{Groetschel2008, author = {Gr{\"o}tschel, Martin}, title = {Tiefensuche: Bemerkungen zur Algorithmengeschichte}, issn = {1438-0064}, url = {http://nbn-resolving.de/urn:nbn:de:0297-zib-9628}, number = {08-23}, year = {2008}, abstract = {Dieser kurze Aufsatz zur Algorithmengeschichte ist Eberhard Knobloch, meinem Lieblings-Mathematikhistoriker, zum 65. Geburtstag gewidmet. Eberhard Knobloch hat immer, wenn ich ihm eine historische Frage zur Mathematik stellte, eine Antwort gewusst - fast immer auch sofort. Erst als ich mich selbst ein wenig und dazu amateurhaft mit Mathematikgeschichte besch{\"a}ftigte, wurde mir bewusst, wie schwierig dieses „Gesch{\"a}ft" ist. Man muss nicht nur mehrere (alte) Sprachen beherrschen, sondern auch die wissenschaftliche Bedeutung von Begriffen und Symbolen in fr{\"u}heren Zeiten kennen. Man muss zus{\"a}tzlich herausfinden, was zur Zeit der Entstehung der Texte „allgemeines Wissen" war, insbesondere, was seinerzeit g{\"u}ltige Beweisideen und -schritte waren, und daher damals keiner pr{\"a}zisen Definition oder Einf{\"u}hrung bedurfte. Es gibt aber noch eine Steigerung des historischen Schwierigkeitsgrades: Algorithmengeschichte. Dies m{\"o}chte ich in diesem Artikel kurz darlegen in der Hoffnung, dass sich Wissenschaftshistoriker dieses Themas noch intensiver annehmen, als sie das bisher tun. Der Grund ist, dass heute Algorithmen viele Bereiche unserer Alltagswelt steuern und unser t{\"a}gliches Leben oft von funktionierenden Algorithmen abh{\"a}ngt. Daher w{\"a}re eine bessere Kenntnis der Algorithmengeschichte von großem Interesse.}, language = {de} } @misc{GroetschelLutzWestphal2008, author = {Gr{\"o}tschel, Martin and Lutz-Westphal, Brigitte}, title = {Diskrete Mathematik und ihre Anwendungen: Auf dem Weg zu authentischem Mathematikunterricht}, issn = {1438-0064}, url = {http://nbn-resolving.de/urn:nbn:de:0297-zib-10758}, number = {08-21}, year = {2008}, abstract = {Das heutige Leben ist durchdrungen von komplexen Technologien. Ohne Kommunikationsnetze, Internet, Mobilfunk, Logistik, Verkehrstechnik, medizinische Apparate, etc. k{\"o}nnte die moderne Gesellschaft nicht funktionieren. Fast alle dieser Technologien haben einen hohen Mathematikanteil. Der "normale B{\"u}rger"' weiss davon nichts, der Schulunterricht k{\"o}nnte dem ein wenig abhelfen. Einige mathematische Aspekte dieser Technologien sind einfach und sogar spielerisch intuitiv zug{\"a}nglich. Solche Anwendungen, die zus{\"a}tzlich noch der Lebensumwelt der Sch{\"u}ler zugeh{\"o}ren, k{\"o}nnen dazu genutzt werden, die mathematische Modellierung, also die mathematische Herangehensweise an die L{\"o}sung praktischer Fragen, anschaulich zu erl{\"a}utern. Gerade in der diskreten Mathematik k{\"o}nnen hier, quasi "nebenbei" mathematische Theorien erarbeitet und Teilaspekte (Definitionen, Fragestellungen, einfache Sachverhalte) durch eigenst{\"a}ndiges Entdecken der Sch{\"u}ler entwickelt werden. Wir beginnen mit einigen Beispielen.}, language = {de} } @incollection{GroetschelKrumkeRambauetal.2001, author = {Gr{\"o}tschel, Martin and Krumke, Sven and Rambau, J{\"o}rg and Winter, Thomas and Zimmermann, Uwe}, title = {Combinatorial Online Optimization in Real Time}, booktitle = {Online Optimization of Large Scale Systems}, editor = {Gr{\"o}tschel, Martin and Krumke, Sven and Rambau, J{\"o}rg}, publisher = {Springer}, pages = {679 -- 704}, year = {2001}, language = {en} } @incollection{GroetschelKrumkeRambau2001, author = {Gr{\"o}tschel, Martin and Krumke, Sven and Rambau, J{\"o}rg}, title = {Online Optimization of Complex Transportation Systems}, booktitle = {Online Optimization of Large Scale Systems}, editor = {Gr{\"o}tschel, Martin and Krumke, Sven and Rambau, J{\"o}rg}, publisher = {Springer}, pages = {705 -- 729}, year = {2001}, language = {en} } @misc{GroetschelRaackWerner2013, author = {Gr{\"o}tschel, Martin and Raack, Christian and Werner, Axel}, title = {Towards optimizing the deployment of optical access networks}, issn = {1438-0064}, doi = {10.1007/s13675-013-0016-x}, url = {http://nbn-resolving.de/urn:nbn:de:0297-zib-18627}, year = {2013}, abstract = {In this paper we study the cost-optimal deployment of optical access networks considering variants of the problem such as fiber to the home (FTTH), fiber to the building (FTTB), fiber to the curb (FTTC), or fiber to the neighborhood (FTTN). We identify the combinatorial structures of the most important sub-problems arising in this area and model these, e.g., as capacitated facility location, concentrator location, or Steiner tree problems. We discuss modeling alternatives as well. We finally construct a "unified" integer programming model that combines all sub-models and provides a global view of all these FTTx problems. We also summarize computational studies of various special cases.}, language = {en} } @misc{Groetschel2012, author = {Gr{\"o}tschel, Martin}, title = {Einblicke in die Diskrete Mathematik}, issn = {1438-0064}, url = {http://nbn-resolving.de/urn:nbn:de:0297-zib-14399}, number = {12-01}, year = {2012}, abstract = {„Diskrete Mathematik, was ist das?", ist eine typische Frage von Lehrern mit traditioneller Mathematikausbildung, denn dort kam und kommt diskrete Mathematik kaum vor. Die etwas Aufgeschlosseneren fragen: „Wenn (schon wieder) etwas Neues unterrichtet werden soll, was soll denn dann im Lehrplan gestrichen werden?" Auf die zweite Frage wird hier nicht eingegangen. Das Ziel dieses Aufsatzes ist es, in diskrete Mathematik einzuf{\"u}hren, Interesse an diesem Fachgebiet zu wecken und dazu anzuregen, dieses auch im Schulunterricht (ein wenig) zu ber{\"u}cksichtigen. Die Sch{\"u}ler und Sch{\"u}lerinnen werden daf{\"u}r dankbar sein - eine Erfahrung, die in vielen Unterrichtsreihen gemacht wurde.}, language = {de} }