Optimierung über gemischt-ganzzahligen Polynomprogramme

• Applicant: Professor Dr. Robert Weismantel
• Subject Area: Mathematics
• Term: from 2002 to 2011
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 5469259

Final Report Abstract

No abstract available

Publications

• Crystallographic texture approximation by quadratic programming. Acta Materialia, 54(5):1359-1368, March 2006
  Thomas Böhlke, Utz-Uwe Haus, and Volker Schulze
  (See online at https://doi.org/10.1016/j.actamat.2005.11.009)
• Global Bounds on Optimal Solutions for the Production of 2,3-Dimethylbutene-1. Industrial & Engineering Chemistry Research 45(7):2261-2271, February 2006
  Jignesh Gangadwala, Achim Kienle, Utz–Uwe Haus, Dennis Michaels, and Robert Weismantel
  (See online at https://doi.org/10.1021/ie050584j)
• Integer polynomial optimization in fixed dimension. Mathematics of Operations Research, 31(1):147-153, 2006
  Jesús A. De Loera, Raymond Hemmecke, Matthias Köppe, and Robert Weismantel
  (See online at https://doi.org/10.1287/moor.1050.0169)
• Mod-2 cuts generation yields the convex hull of bounded integer feasible sets. SIAM Journal on Discrete Mathematics, 20:913-919, 2006
  Claudio Gentile, Paulo Ventura, and Robert Weismantel
  (See online at https://doi.org/10.1137/04061831X)
• A method to evaluate the feasibility of TMB chromatography for reduced efficiency and purity requirements based on discrete optimization. Computers & Chemical Enginieering, 31(11):1525-1534, November 2007
  Utz-Uwe Haus, Dennis Michaels, Andreas Seidel- Morgenstern, and Robert Weismantel
  (See online at https://doi.org/10.1016/j.compchemeng.2007.01.001)
• Certificates of linear mixed integer infeasibility. Operations Research Letters, 36:734-738, 2008
  Kent Andersen, Quentin Louveaux, and Robert Weismantel
  (See online at https://doi.org/10.1016/j.orl.2008.08.003)
• FPTAS for optimizing polynomials over the mixed-integer points of polytopes in fixed dimension. Mathematical Programming, 2:273-290, 2008
  Jesús A. De Loera, Raymond Hemmecke, Matthias Köppe, and Robert Weismantel
  (See online at https://doi.org/10.1007/s10107-007-0175-8)
• Global analysis of combined reaction distillation processes. Computers & Chemical Engineering, 32(1-2):343-355, January/February 2008
  Jignesh Gangadwala, Utz–Uwe Haus, Matthias Jach, Achim Kienle, Dennis Michaels, and Robert Weismantel
  (See online at https://doi.org/10.1016/j.compchemeng.2007.04.015)
• Nonlinear matroid optimization and experimental design. SIAM Journal on Discrete Mathematics, 22(3):901-919, 2008
  Y. Berstein, S. Onn, H. Maruri, H. Wynn, E. Riccomagno, and R. Weismantel
  (See online at https://doi.org/10.1137/070696465)
• Throughputoptimal sequences for cyclically operated plants. Discrete Event Dynamic Systems, 18(3):355-383, 2008
  Utz–Uwe Haus, Eckart Mayer, Jörg Raisch, and Robert Weismantel
  (See online at https://doi.org/10.1007/s10626-008-0038-3)
• Convex integer maximization via graver bases. Journal of pure and applied algebra, 213 (4), pp. 1569—1577, 2009
  J. De Loera, R. Hemmecke, Shmul Onn, U. G. Rothblum, and R. Weismantel
  (See online at https://doi.org/10.1016/j.jpaa.2008.11.033)
• A theoretical study of continuous countercurrent chromatography for adsorption isotherms with inflection points. Computers & Chemical Engineering 34(4), pp. 447-459, 2010
  Martin Ballerstein, Dennis Michaels, Andreas Seidel-Morgenstern, and Robert Weismantel
  (See online at https://doi.org/10.1016/j.compchemeng.2009.10.001)