Lehrstuhl für Wirtschaftsmathematik

Mathematisches Institut, Fakultät für Mathematik, Physik und Informatik
Lehrstuhlinhaber: Prof. Dr. Jörg Rambau

Publikationen

• Schwarzes Brett
• Kontakt
• Team
• Forschung
• Lehre
• Veranstaltungen

• Projekte
• Ausgewählte Folien
• Publikationen
• • Mathematische Grundlagen für Wirtschaftswissenschaftler
  • Triangulations

• Angebote & Öffentlichkeitsarbeit

Referierte Artikel in Zeitschriften:

• S. Kurz: On the inverse power index problem
  (Optimization, Band 61, Ausgabe 8, Seiten 989-1011) (online Version)
• S. Kurz: Squaring the square with integer linear programming
  (Journal of Information Processing, Band 20, Ausgabe 3, Seiten 680-685) (online Version)
• S. Kurz: On minimum sum representations for weighted voting games
  (Annals of Operations Research, Band 196, Ausgabe 1, Seiten 361-369)
• S. Kurz: Bounds for the minimum oriented diameter
  (Discrete Mathematics & Theoretical Computer Science, Band 14, Ausgabe 1, Seiten 109-142) (Mit M. Lätsch)

Bücher:

• C. Schwarz: Integrated Routing & Scheduling, Dissertation erhältlich im Verlag Dr. Hut unter der ISBN 978-3-8439-0310-3

Preprints:

• J. Rambau, V. Reiner, A survey of the higher stasheff-tamari orders, to appear (Preprint)
• J. Rambau, K. Schade, The Stochastic Guaranteed Service Model with recourse for multi-echelon warehouse management (Preprint)
• M. Kiessling, S. Kurz, J. Rambau The Integrated Size and Price Optimization Problem (Preprint)
• M. Kiessling, S. Kurz, J.Rambau An exact column-generation approach for the lot-type design problem (Preprint)

Referierte Artikel in Zeitschriften:

• S. Kurz: A lower bound for 4-regular planar unit distance graphs,
  (Geombinatorics Quarterly, Band 21, Ausgabe 2, Seiten 63-72)(Preprint)
• S. Kurz, J. Rambau: On the Hegselmann-Krause conjecture in opinion dynamics
  ( Journal of Difference Equations and Applications, Band 17, Ausgabe 6, Seiten 859-876)(Preprint)
• S. Kurz: 2-arcs of maximal size in the affine and the projective Hjelmslev plane over Z₂₅
  (Advances in Mathematics of Communications, Band 5, Ausgabe 2, Seiten 287-301) (Mit M.Kiermaier und M. Koch)
• S. Kurz: Fast regocnition of planar non unit distance graphs
  (Geombinatorics Quarterly, Band 21, Ausgabe 1, Seiten 25-33)(Preprint)
• S. Kurz: On the minimum diameter of plane integral point sets
  (Ars Combinatoria, Band 101, Seiten 265-287) (Mit A. Wassermann)(Preprint)
• S. Kurz: Regular matchstick graphs
  (The American Mathematical Monthly, Band 118, Ausgabe 3, Seiten 264-267 (Mit R. Pinchasi)(Preprint)

Preprints:

• J. Schauer, C. Schwarz, A generalized job-shop problem with more than one resource demand per task (Preprint)

Referierte Artikel in Zeitschriften:

• J. Rambau, K. Schade: The Stochastic Guaranteed Service Model with Recourse for Multi-Echelon Warehouse Management.
  (Electronic Notes in Discrete Mathematics, Band 36, Seiten 783-790.)

• S. Kurz, J. Rambau: On the lot-type design problem
  (Optimization Methods and Software, Band 25, Ausgabe 2, Seiten 217-227) (Mit C. Gaul)
• S. Kurz: Maximal integral point sets over Z^2
  (International Journal of Computer Mathematics, Band 87, Ausgabe 12, Seiten 2653–2676) (Mit A. R. Antonov)

Bücher:

• J. A. De Loera, J. Rambau, F. Santos: Triangulations: Structures for Algorithms and Applications
  (Springer-Reihe "Algorithms and Computation in Mathematics", 539 Seiten.)

• J. Rambau, C. Schwarz: Exploiting combinatorial relaxations to solve a routing & scheduling problem in car body manufacturing (Preprint)
• J. Rambau, C. Schwarz: How to avoid collisions in scheduling industrial robots? (Preprint)

Referierte Artikel in Zeitschriften:

• S. Kurz: 3-regular matchstick graphs with given girth
  (Geombinatorics Quarterly Vol. XIX, Nr. 4, Pages 156-173) (With G. Mazzuoccolo)
• S. Kurz: Caps in \mathbb{Z}_n^2 (Preprint)
  (Serdica Journal of Computing Vol. 3, Pages 159-178)
• S. Kurz: Integral point sets in higher dimensional affine spaces over finite fields
  (Journal of Combinatorial Theory, Series A, Volume 116, Issue 6, Pages 1120-1139) (With H. Meyer)
• S. Kurz: Maximal integral point sets in affine planes over finite fields
  (Discrete Mathematics Vol. 303, Nr. 13, Pages 4564-4575) (With M. Kiermaier)
• S. Kurz: Integral point sets over finite fields
  (The Australasian Journal of Combinatorics, Vol. 43, Pages 3-29)
• S. Kurz: Integral point sets over $\mathbb{Z}_n^m$
  (Discrete Applied Mathematics Vol. 157, Pages 2105-2117) (With A. Kohnert)

Referierte Beiträge zu Tagungs- und Sammelbänden:

• J. Rambau, C. Schwarz: On the benefits of using NP-hard problems in Branch & Bound
  (Operations Research Proceedings 2008, Springer, 2009, pp. 463-468)(Preprint)
• S. Kurz, J. Rambau: The Combinatorics of (S,M,L,XL) or the best fitting delivery of T-shirts
  (Models and Algorithms for Optimization in Logistics, Dagstuhl Seminar Proceedings, 2009, 5 pages)(With C. Gaul)(Volltext)

Bücher:

• S. Kurz, J. Rambau: Mathematische Grundlagen für Wirtschaftswissenschaftler
  (Kohlhammer Verlag, 273 Seiten)

Referierte Artikel in Zeitschriften:

• S. Kurz: On the generation of Heronian triangles (Preprint)
  (Serdica Journal of Computing Vol. 2, Pages 181-196)
• T. Kreisel and S. Kurz: There are integral heptagons, no three points on a line, no four on a circle (Preprint)
  (Discrete and Computational Geometry. Vol. 39, No. 4, Pages 786-790)
• S. Kurz: Counting polyominoes with minimum perimeter (Preprint)
  (Ars Combinatoria. Vol. 88 , Pages 161-174)
• S. Kurz: Convex hulls of polyominoes (online Version) (Preprint)
  (Beiträge zur Algebra und Geometrie. Vol. 49, No, 1, Pages 125-136)
• J. Rambau: Online Bin-Coloring (ZIB Preprint SC 01-07; Theoretical Computer Science 407 (2008), pp. 231-241.; Proceedings-Version in Algorithms - ESA 2001, LNCS2161, Springer, 2001) (With Sven O. Krumke, Willem de Paepe, and Leen Stougie)

Referierte Beiträge zu Tagungs- und Sammelbänden:

• S. Kurz: Construction of large constant dimension codes with a prescribed minimum distance
  (Proceedings of Mathematical Methods in Computer Science 2008, Springer, Lecture Notes in Computer Sciences Vol. 5393, Pages 31-42) (With A. Kohnert)
• J. Rambau, C. Schwarz: Optimierte dynamische Einsatzplanung für Gelbe Engel und Lastenaufzüge
  (Die Kunst des Modellierens, Teubner, 2008, pp. 377-398)(Preprint)

Preprints:

• J. Rambau, S. Kurz: The Top-Dog Index: A New Measurement for the Demand Consistency of the Size Distribution in Pre-Pack Orders for a Fashion Discounter with Many Small Branches(Preprint)
  (With Jörg Schlüchtermann, and Rainer Wolf)
• J. Rambau, S. Kurz: Lotsize optimization leading to a p-median problem with cardinalities(Preprint)
  (With Constantin Gaul)

Referierte Artikel in Zeitschriften:

• S. Kurz: Bounds for the minimum diameter of integral point sets
  (With R. Laue; The Australasian Journal of Combinatorics, Vol. 39, Pages 233-240)
• S. Kurz: Enumeration of integral tetrahedra (Preprint)
  ( Journal of Integer Sequences Vol 10, 2007)
• S. Kurz: A note on Erdös-Diophantine graphs and Diophantine carpets (Preprint)
  (With Axel Kohnert; Mathematica Balkanica Fasc. 1-2 of Vol. 21,Pages 1-5, 2007)

Referierte Beiträge zu Tagungsbänden:

• S. Kurz, J. Rambau: Demand forecasting for companies with many branches, low sales numbers per product, and non-recurring orderings
  (Proceedings of ISDA07, 2007, p. 196-201)

Referierte Artikel in Zeitschriften:

• S. Kurz: On the characteristic of integral point sets in $\mathbb{E}^m$ (Preprint)
  (The Australasian Journal of Combinatorics, Vol. 36, Oct. 2006, Pages 241-248)
• S. Kurz: A bijection between the d-dimensional simplices with distances in {1,2} and the partitions of d+1 (Preprint)
  (With Christian Haase; Journal of Combinatorial Theory, Series A, Volume 113, Issue 4, May 2006, Pages 736-738)
• J. Rambau: Online-optimization of a multi-elevator transport system with reoptimization algorithms based on set-partitioning models (ZIB Report 05-03)
  (With Philipp Friese, Discrete Applied Mathematics Vol. 154 No. 13 (2006), pp. 1908-1931.)
• J. Rambau: Reoptimization Gaps versus Model Errors in Online-Dispatching of Service Units for ADAC (ZIB Report 04-17)
  (With Benjamin Hiller and Sven O. Krumke (extended version of ENDM article), Discrete Applied Mathematics Vol. 154 No. 13 (2006), pp. 1897-1907.)

Bücher:

• S. Kurz: Konstruktion und Eigenschaften ganzzahliger Punktmengen (Dissertation)
  (Bayreuther Mathematische Schriften Vol. 75 (2006))

Sonstiges:

• S. Kurz: Integral point sets over $\mathbb{Z}_n^m$ (Preprint)
  (With Axel Kohnert (nicht referierter Abstract zur Tagung Optimal Discrete Structures and Algorithms); Electronic Notes in Discrete Mathematics Vol 27, 2006, Pages 65-66)

Referierte Beiträge zu Tagungs- und Sammelbänden:

• J. Rambau: The Online Target Date Assignment Problem (ZIB Report 05-61)
  (With Stefan Heinz, Sven O. Krumke, Nicole Megow, Andreas Tuchscherer, and Tjark Vredeveld, Proceedings of WAOA 2005.)
• J. Rambau: Deferment Control for Reoptimization - How to Find Fair Reoptimized Dispatches (Dagstuhl Dokument)
  (Dagstuhl Seminar Proceedings 05031, 2005)
• J. Rambau: On a generalization of Schönhardt's polyhedron (MSRI-Preprint 2003-013)
  Combinatorial and Computational Geometry (J. E. Goodman, J. Pach, and E. Welzl, eds.), MSRI publications 52 (2005), pp. 501-516

• Preprints:

• J. Rambau: Online-optimization of a multi-elevator transport system with reoptimization algorithms based on set-partitioning models (ZIB Report 05-03)
  (With Philipp Friese, Discrete Applied Mathematics, Special Issue on LACGA 2004, to appear)

Referierte Beiträge zu Tagungsbänden:

• J. Rambau: Reoptimization Gaps versus Model Errors in Online-Dispatching of Service Units for ADAC (ZIB Report 04-17)
  (With Benjamin Hiller and Sven O. Krumke, Proceedings of LACGA 2004, Electronic Notes in Discrete Mathematics, 18 (2004), pp. 175-163, extended version to appear in Discrete Applied Mathematics).

Referierte Beiträge zu Tagungs- und Sammelbänden:

• J. Rambau: Computing Triangulations Using Oriented Matroids (ZIB Report 02-02)
  (With Julian Pfeifle; Algebra, Geometry, and Software Systems; Michael Joswig and Nobuki Takayama, eds., 2003)
• J. Rambau: Dynamic Routing Algorithms in Transparent Optical Networks An Experimental Study Based on Real Data (ZIB Report 02-35)
  (With Ralf Hülsermann, Monika Jäger, Sven O. Krumke, Diana Poensgen, Andreas Tuchscherer; Proceedings of ONDM 2003.)

Referierte Artikel in Zeitschriften:

• J. Rambau: Circuit Admissible Triangulations of Oriented Matroids (ZIB Preprint SC 00-45)
  (Discrete & Computational Geometry, 27 (2002), pp. 155-161.)
• J. Rambau: Probieren geht über Studieren? Entscheidungshilfen für kombinatorische Online-Optimierungsprobleme in der innerbetrieblichen Logistik (ZIB Report 02-05)
  (With Sven O. Krumke; Automatisierungstechnik 50 (2002) No. 12, pp. 568-575.)

• Referierte Beiträge zu Tagungs- und Sammelbänden:

• J. Rambau: TOPCOM: Triangulations of Point Configurations and Oriented Matroids (ZIB Report 02-17)
  (Proceedings of the International Congress of Mathematical Software ICMS 2002.)
• J. Rambau: Online-Dispatching of Automobile Service Units (ZIB Report 02-44)
  (With Martin Grötschel, Sven O. Krumke and Luis M. Torres; Proceedings of OR2002, 2002)
• J. Rambau: How to cut a cake almost fairly (ZIB Report 02-23)
  (With Sven O. Krumke, Maarten Lipman, Willem de Paepe, Diana Poensgen, Leen Stougie, Gerhard J. Woeginger; Proceedings of SODA 2002)

Sonstiges:

• J. Rambau: Online Dispatching of Automobile Service Units in Real-Time (ZIB Report 02-18)
  (With Martin Grötschel, Sven O. Krumke, and Luis M. Torres; SIAM News 35 No. 4 (2002), pp. 1+10-11)

Referierte Artikel in Zeitschriften:

• J. Rambau: Euler is Standing in Line (ZIB Preprint SC 99-06)
  (With Dietrich Hauptmeier, Sven O. Krumke, and Hans-C. Wirth; Discrete Applied Mathematics 113 No. 1 (2001), pp. 87-107.)

Referierte Beiträge zu Tagungs- und Sammelbänden:

• J. Rambau: Combinatorial Online Optimization in Real Time (ZIB Report 01-16)
  (With Martin Grötschel, Sven O. Krumke, Thomas Winter, and Uwe T. Zimmermann; Online Optimization of Large Scale Systems (Martin Grötschel, Sven O. Krumke, Jörg Rambau, eds.), Springer, 2001.
• J. Rambau: Online Optimization of Complex Transportation Systems (ZIB Report 01-17)
  (With Martin Grötschel, Sven O. Krumke; Online Optimization of Large Scale Systems (Martin Grötschel, Sven O. Krumke, Jörg Rambau, eds.), Springer, 2001.
• J. Rambau: Online Bin-Coloring (ZIB Preprint SC 01-07)
  (With Sven O. Krumke, Willem de Paepe, and Leen Stougie; Algorithms - ESA 2001, LNCS2161, Springer, 2001)

Herausgegebene Publikationen:

• J. Rambau: Online Optimization of Large Scale Systems (Preprint)
  (With Martin Grötschel, Sven O. Krumke (eds.); Collection of Results in the DFG-Schwerpunktprogramm Echtzeit-Optimierung großer Systeme, Springer, 803 pages, 2001.)

Preprints:

• J. Rambau: Real-Time Dispatching of Guided and Unguided Automobile Service Units with Soft Time Windows (ZIB Report 01-22)
  (With Sven O. Krumke and Luis M. Torres; shorter version in ESA 2002 Track B.)

Referierte Artikel in Zeitschriften:

• J. Rambau: On Subdivision Posets of Cyclic Polytopes (MSRI Preprint 1997-030)
  (With Paul H. Edelman and Victor Reiner; European Journal of Combinatorics, 21, No. 1 (2000), pp. 85-101.)
• J. Rambau: The Cayley Trick, Lifting Subdivisions, and the Bohne-Dress Theorem for Zonotopal Tilings (ZIB Preprint SC 98-44)
  (With Birkett Huber and Francisco Santos; Journal of the European Mathematical Society, 2 (2000), p. 179-198.)
• J. Rambau: The Generalized Baues Problem for Cyclic Polytopes I (ZIB Preprint SC 98-14)
  (With Francisco Santos; European Journal of Combinatorics, 21, No. 1 (2000), pp. 65-83.)

Referierte Beiträge zu Tagungs- und Sammelbänden:

• J. Rambau: The Online Dial-a-Ride Problem under Reasonable Load (ZIB Preprint SC 99-08)
  (With Dietrich Hauptmeier and Sven O. Krumke; Proceedings of CIAC 2000, LNCS 1767, Springer, 2000)
• J. Rambau: The Online-Transportation Problem: Competitive Scheduling of Elevators (ZIB Preprint SC 98-34)
  (With Norbert Ascheuer and Sven O. Krumke; Proceedings of STACS 2000, LNCS 1770, Springer, 2000.

Preprints:

• J. Rambau: An Approximation Algorithm for the Non-Preemptive Capacitated Dial-a-Ride Problem (ZIB Preprint SC 00-53)
  (With Sven O. Krumke and Steffen Weider.)

Sonstiges:

• J. Rambau: Point Configuration and a Triangulation Without Flips as constructed by Santos (Eletronic Geometry Model No. 2000.08.005)

Referierte Artikel in Zeitschriften:

• J. Rambau: The Generalized Baues Problem for Cyclic Polytopes II (ZIB Preprint SC 98-14)
  (With Christos Athanasiadis and Francisco Santos; Publications De l'Institut Mathematique, Belgrade, 66 (1999), pp. 3-15.)

• Referierte Beiträge zu Tagungsbänden:

• J. Rambau: Euler is Standing in Line (ZIB Preprint SC 99-06)
  (With Dietrich Hauptmeier, Sven O. Krumke, and Hans-C. Wirth; Proceedings of WG 99.)

Preprints:

• J. Rambau: Simulation Studies for the Online Dial-a-Ride Problem (ZIB Preprint SC 99-09)
  (With Martin Grötschel, Dietrich Hauptmeier, and Sven O. Krumke.)

Sonstiges:

• J. Rambau: Wo bleibt der Aufzug? (ZIB Preprint SC 99-29)
  (with Martin Grötschel and Sven O. Krumke; OR News Nr. 5, March 1999, S. 11-13)

Referierte Beiträge zu Tagungsbänden:

• J. Rambau: Combinatorial Online-Optimization (ZIB Preprint SC 98-24)
  (With Norbert Ascheuer, Martin Grötschel, and Sven O. Krumke; Proceedings of OR98, 1998.)

Sonstiges:

• J. Rambau: Combinatorial Online Optimization in Practice (ZIB Preprint SC 98-07)
  (With Norbert Ascheuer, Martin Grötschel, and Nicola Kamin; Optima, No. 57 (March 1998), pp. 1-6)

Referierte Artikel in Zeitschriften:

• J. Rambau: Triangulations of Cyclic Polytopes and higher Bruhat Orders (Revised Version with a section on shellability)
  (Mathematika 44 (1997), pp. 162-194.)
• J. Rambau: A Suspension Lemma for Bounded Posets (MSRI Preprint 1997-029)
  (Journal of Combinatorial Theory, Series A, 80 (1997), pp. 374-379.)

Referierte Artikel in Zeitschriften:

 

• J. Rambau: Projections of Polytopes and the Generalized Baues Conjecture (TU-Report 429/1995)
  (With Günter M. Ziegler; Discrete & Computational Geometry 16 (1996), pp. 215-237.)

Bücher:

• J. Rambau: Polyhedral Subdivisions and Projections of Polytopes (Dissertation)
  (Shaker Verlag, 1996)

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Letztes Update am: 15.11.2012