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Jan-Joachim Rückmann

Professor
  • Non-linear programming: theory, methods and applications
  • Mathematical finance
  • Parametric non-linear optimization
  • (Generalized) semi-infinite programming, data envelopment analysis, robust optimization
  • Applications of topology and differential geometry to non-linear programming
  1. Jargalsaikhan, B., J.-J. Rückmann: A note on strict complementarity for the doubly nonnegative cone. Optimization, electronically published, DOI: 10.1080/02331934.2018.1477943.
  2. Bouza Allende, G., D. Hernandez Escobar, J.-J. Rückmann: Generation of K-convex test problems in variable ordering settings. Investigacion Operacional 39 (2018) 3, 463-479.

  3. Both, A.-L., H. Hisken, J.-J. Rückmann, T. Steihaug: Surrogate-based model parameter optimisation based on gas explosion experimental data. Engineering Optimization (2018) DOI:10.1080/0305215X.2018.1450399.

  4. Guerra Vazquez, F., L. A. Hernandez-Rebollar, J.-J. Rückmann: On vector generalized semi-infinite programming. Investigacion Operacional 39 (2018) 3, 341-352

  5. Bouza Allende, G., J.-J. Rückmann, C. Tammer (guest-editors): Variational Analysis - Homage to the 70th Birthday of Boris Mordukhovich. Investigacion Operacional 39 (2018) 3 (special issue).

  6. Guerra Vazquez, F., J.-J. Rückmann: On duality in multiobjective semi-infinite optimization. Optimization 66 (2017) 8, 1237-1249.

  7. Braatz, A.-L., H. Hisken, J.-J. Rückmann: Surrogate-based optimization of model parameters for the improved modelling of industrial-scale gas explosions. In: J. Herskovits (editor), Proceedings of the 5th International Conference on Engineering Optimization, e-papers (ISBN 978-85-7650-548-8), Rio de Janeiro, Brazil, 2017, 389-398.

  8. Rückmann, J.-J.: A tutorial note on a convexification procedure in non-convex semi-infinite programming optimization. Investigacion Operacional 38 (2017) 4, 309-319.

  9. Martinez Legaz, J. E., E. Ocana Anaya, J.-J. Rückmann (guest-editors): ISORA 2015. Optimization 66 (2017) 8 (special issue).

  10. Canovas, M. J., J. Parra, J.-J. Rückmann, F. J. Toledo: Point-based neighborhoods for sharp calmness constants in linear programming. Set-Valued and Variational Analysis 25 (2017) 4, 757-772.

  11. Helmers, J., J.-J. Rückmann, R. Werner: Tight semi-model-free bounds on (bilateral) CVA. In: K. Glau et al. (editors), Innovations in Derivatives Markets, Springer, Berlin, New York, 2016, 83-101.

  12. Rückmann, J.-J.: A tutorial note on multiobjective semi-infinite programming. Investigacion Operacional 37 (2016) 3, 216-225.

  13. Guerra Vazquez, F., J.-J. Rückmann: Multiobjective semi-infinite optimization: convexification and properly efficient points. In: G. O. Tost et al. (editors), Analysis, Modelling, Optimization, and Numerical Techniques, Springer, Berlin, New York, 2015, 327-347.

  14. Dorsch, D., H. Th. Jongen, J.-J. Rückmann, V. Shikhman: On the local representation of piecewise smooth equations as a Lipschitz manifold. J. Math. Anal.Appl. 411 (2014), 916-930.

  15. Guerra Vazquez, F., J.-J. Rückmann: On proper efficiency in multiobjective semi-infinite optimization. In: H. Xu et al. (editors), Optimization and Control Techniques and Applications, Springer, Berlin, New York, 2014, 115-135.

  16. Guerra Vazquez, F., J.-J. Rückmann: A note on logarithmic smoothing in semiinfinite optimization under reduction approach. Croatian OR Review 4 (2013), 19-30.

  17. Erb, S., M. Gerdts, S. Kemble, J.-J. Rückmann, M. Schlüter: MIDACO on MINLP Space Applications. Advances in Space Research 51 (2013) 7, 1116-1131.

  18. Rückmann, J.-J., O. Stein (guest-editors): Parametric Optimization and Related Topics. Mathematical Programming 136 (2012) 1 (special issue).

  19. Gerdts, M., J.-J. Rückmann, M. Schlüter: A numerical study of MIDACO on 100 MINLP benchmarks. Optimization 61 (2012) 7, 873-900.

  20. Rückmann, J.-J., O. Stein (guest-editors): Parametric Optimization and Related Topics X. Optimization 61 (2012) 6 (special issue).

  21. Guerra Vazquez, F., J.-J. Rückmann, R. Werner: On saddle points in nonconvex semi-infinite programming. J. Global Optimization 54 (2012) 3, 433-447.

  22. Dorsch, D., F. Guerra Vazquez, H. Günzel, H. Th. Jongen, J.-J. Rückmann: SIP: critical value functions have finite modulus of non-convexity. Mathematical Programming 136 (2012) 1, 133-154.

  23. Dorsch, D., F. Guerra Vazquez, H. Günzel, J.-J. Rückmann: Semi-infinite programming: strong stability implies EMFCQ. J. Convex Analysis 19 (2012) 4, 999-1008.

  24. Guerra Vazquez, F., J.-J. Rückmann: Semi-infinite programming. In: J. Cochran et al. (editors), Encyclopedia of Operations Research and Management Science, Wiley, Hoboken, 2011, 4770-4479.

  25. Ortega, G., S. Erb, J.-J. Rückmann et al.: STA, The Space Trajectory Analysis Project. European Space Agency (ESA), Proceedings of the 4th International Conference on Astrodynamics Tools and Techniques, Madrid, Spain, 2010 (8 pages).

  26. Jongen, H. Th., J.-J. Rückmann: On interior logarithmic smoothing and strongly stable stationary points. SIAM J. Optimization 20 (2010) 5, 2137-2156.

  27. Kropat, E., J.-J. Rückmann, G.-W. Weber: Regression analysis for clusters in gene-environment networks based on ellipsoidal calculus and optimization. Dynamics of Continuous, Discrete and Impulsive Systems 17 (2010) 5, 639-657.

  28. Rückmann, J.-J., M. Sanchez Meraz, C. Sosa Paz: Joint routing, link scheduling and power control for wireless multi-hop networks for CDMA/TDMA systems. Cientifica 14 (2010) 4, 165-172

  29. Jongen, H. Th., J.-J. Rückmann, V. Shikhman: MPCC: critical point theory. SIAM J. Optimization 20 (2009) 1, 473-484.

  30. Jongen, H. Th., J.-J. Rückmann, V. Shikhman: On stability of the feasible set of a mathematical problem with complementarity problems. SIAM J. Optimization 20 (2009) 3, 1171-1184.

  31. Rückmann, J.-J., A. Shapiro: Augmented Lagrangians in semi-infinite programming. Mathematical Programming 116 (2009) 1-2, 499-512.

  32. Allende, S., M. A. Osorio, R. Rios, J.-J. Rückmann (guest-editors): Annals Oper. Res. 157 (2008) 1-2 (special issue with contributions to the XII Latin-Iberoamerican Congress of Operations Research and Systems CLAIO).

  33. Günzel, H., H. Th. Jongen, J.-J. Rückmann: On stable feasible sets in generalized semi-infinite programming. SIAM J. Optimization 19 (2008) 2, 644-654.
  34. F. Guerra Vazquez, J.-J. Rückmann, O. Stein, G. Still: Generalized semi-infinite programming: a tutorial. J. Comp. Appl. Mathematics 217 (2008), 394-419.
  35. Guddat, J., F. Guerra Vazquez, D. Nowack, J.-J. Rückmann: Pathfollowing methods for nonlinear multiobjective optimization problems. J. Management Sc. Eng. Man. 2 (2007) 3, 163-177.
  36. Guddat, J., F. Guerra Vazquez, D. Nowack, J.-J. Rückmann: On the calculation of a feasible point of a nonconvex set: pathfollowing with jumps. Optimization 56 (2007) 1-2, 73-103.
  37. Guddat, J., F. Guerra Vazquez, D. Nowack, J.-J. Rückmann: A modified standard embedding with jumps in nonlinear optimization. European J. Oper. Research 169 (2006) 3, 1185-1206.
  38. Gomez, J. A., J.-J. Ruckmann: On generalized semi-infinite programming. TOP 14 (2006) 1, 1-59.
  39. Guerra Vazquez, F., J.-J. Rückmann: Extensions of the Kuhn-Tucker constraint qualification to generalized semi-infnite programming. SIAM J. Optimization 15 (2005) 3, 926-937.
  40. Guerra Vazquez, F., J.-J. Rückmann: Semi-infinite programming: properties and applications to economics. In: J. Leskow et al. (editors), New Tools of Economic Dynamics, Springer, Berlin, New York, 2005, 373-393.
  41. Guddat, J., H. Th. Jongen, J.-J. Rückmann, M. Todorov (editors): Parametric Opimization and Related Topics VII. Aportaciones Matematicas, Serie Investigacion 18, Sociedad Matematica Mexicana, 2004.
  42. Guerra Vazquez, F., J. A. Orozco, J.-J. Rückmann: On constraint qualification in semi-infinite optimization. In: J. Guddat et al. (editors), Parametric Opimization and Related Topics VII. Aportaciones Matematicas, Serie Investigacion 18, Sociedad Matematica Mexicana, 2004, 133-141.
  43. Rückmann, J.-J.: Numerical treatment of an asset price model with nonstochastic uncertainty: comment. TOP 10 (2002) 1, 38-41.
  44. Guerra Vazquez, F., J.-J. Rückmann: An approximation of feasible sets in semiinfinite optimization. TOP 10 (2002) 2, 325-336.
  45. Rückmann, J.-J., O. Stein: On convex lower level problems in generalized semiinfinite optimization. In: M. A. Goberna et al. (editors): Semi-Infinite Programming-Recent Advances. Kluwer Academic Publishers, Boston, 2001, 121-134.
  46. Rückmann, J.-J., O. Stein: On linear and linearized generalized semi-infinite optimization problems. Annals Oper. Res. 101 (2001), 191-208.
  47. Jongen, H. Th., J.-J. Rückmann, O. Stein: Parametric global optimization: sensitivity. In: C. A. Floudas et al. (editors), Encyclopedia of Optimization, Vol. IV, Kluwer Academic Publishers, Dordrecht, 2001, 273-278.
  48. Rückmann, J.-J., A. Shapiro: Second order optimality conditions in generalized semi-infinite programming. Set-Valued Anal. 9 (2001) 1-2, 169-186.
  49. Klatte, D., J.-J. Rückmann, D. Ward (guest-editors): Optimization with Data Perturbations II. Annals Oper. Res. 101 (2001) (special volume dedicated to Anthony V. Fiacco on the occasion of his 70th birthday).
  50. Gomez, W., J. Guddat, H. Th. Jongen, J.-J. Rückmann, C. Solano: Curvas criticas y saltos en optimizacion no lineal. 2000, electronically published: http://www.emis.de/monographs/curvas/index.html.
  51. Rückmann, J.-J., A. Shapiro: First order optimality conditions in generalized semi-infinite programming. J. Opt. Theory Appl. 101 (1999) 3, 677-691.
  52. Rückmann, J.-J.: On existence and uniqueness of stationary points in semi-infinite optimization. Math. Programming 86 (1999) 2, 387-416.
  53. Jongen, H. Th., J.-J. Rückmann: One-parameter-families of feasible sets in semi-infinite optimization. Global Optimization 14 (1999) 2, 181-203.
  54. Jongen, H. Th., J.-J. Rückmann: On stability and deformation in semi-infinite optimization. In: R. Reemtsen et al. (editors), Semi-Infinite Programming, Kluwer Academic Publishers, Boston, 1998, 29-67.
  55. Jongen, H. Th., J.-J. Rückmann, O. Stein: Generalized semi-in finite optimization: a first order necessary optimality condition and examples. Math. Programming 83 (1998) 1, 145-158.
  56. Reemtsen, R., J.-J. Rückmann (editors): Semi-Infinite Programming. Kluwer Academic Publishers, Boston, 1998.
  57. Rückmann, J.-J., G.-W. Weber: Semi-infinite optimization: excisional stability of the feasible set. Siberian Math. J. 39 (1998) 1, 113-125.
  58. Jongen, H. Th., J.-J. Rückmann, O. Stein: Disjunctive optimization: critical point theory. J. Opt. Theory Appl. 93 (1997) 2, 321-336.
  59. Rückmann, J.-J.: Topological stability of feasible sets in semi-infinite optimization: a tutorial. In: A. V. Fiacco (editor), Mathematical Programming with Data Perturbations, Marcel Dekker, New York, 1997, 339-361.
  60. Dentcheva, D., R. Gollmer, J. Guddat, J.-J. Rückmann: Pathfollowing methods in nonlinear optimization II: Exact penalty embedding. In: M. Florenzano et al. (editors), Approximation and Optimization in the Carribean, Peter Lang, New York, 1995, 200-230.
  61. Jimenez, M. A., J.-J. Rückmann: On equivalent stability properties in semi-infinite optimization. Math. Methods Oper. Res. 41 (1995) 2, 175-190.
  62. Dentscheva, D., J. Guddat, J.-J. Rückmann, K.Wendler: Pathfollowing methods in nonlinear optimization III: Lagrange multiplier embedding. Math. Methods Oper. Res. 41 (1995) 2, 127-152.
  63. Guddat, J., J.-J. Rückmann (guest-editors): Parametric Optimization. Math. Methods Oper. Res. 41 (1995) 2 (special issue on Parametric Optimization).
  64. Jimenez, M. A., E. Lopez, J.-J. Rückmann: Sequential convergence in the space of absolutely Riemann integrable functions. J. Analysis and its Appl. 13 (1994) 4, 567-576.
  65. Jongen, H. Th., J.-J. Rückmann, G.-W. Weber: One-parametric semi-infinite optimization: on the stability of the feasible set. SIAM J. Optimization 4 (1994) 3, 637-648.
  66. Guddat, J., J.-J. Rückmann: One-parametric optimization: jumps in the set of generalized critical points. Control and Cybernetics 23 (1994) 1/2, 139-151.
  67. Gollmer, R., J. Guddat, F. Guerra Vazquez, D. Nowack, J.-J. Rückmann: Pathfollowing methods in nonlinear optimization I: penalty embedding. In: J. Guddat et al. (editors), Parametric Optimization and Related Topics, Peter Lang, New York, 1993, 163-214.
  68. Rückmann, J.-J.: Stability properties in nonlinear programming. Habilitationsschrift (in German), Humboldt-Universitat zu Berlin, Fachbereich Mathematik, 1993.
  69. Jongen, H. Th., J.-J. Rückmann: Nonlinear optimization: on connected components of level sets. SIAM J. Control and Optimization 31 (1993) 1, 86-100.
  70. Rückmann, J.-J.: Stability of noncompact feasible sets in nonlinear optimization. In: J. Guddat et al. (editors), Parametric Optimization and Related Topics, Peter Lang, New York, 1993, 467-502.
  71. Rückmann, J.-J., K. Tammer: On linear-quadratic perturbations in one-parametric nonlinear optimization. Systems Science 18 (1992) 1, 37-48.
  72. Rückmann, J.-J.: Eine Bemerkung zur Einbettung der oberen Ebene bei der lokalen dualen Methode. Wissenschaftliche Zeitschrift d. Technischen Hochschule Leipzig 3 (1990), 137-142.
  73. Rückmann, J.-J., K. Tammer: Relations between the Karush-Kuhn-Tucker points of a nonlinear optimization problem and of a generalized Lagrange dual problem. In: H.-J. Sebastian et al. (editors), System Modelling and Optimization, Springer, Berlin, 1990, 204-218.
  74. Rückmann, J.-J.: One-parametric nonconvex optimization: Structure investigations and a generalized homotopy method. Doctoral dissertation (in German), Technische Hochschule Leipzig, Sektion Mathematik und Informatik, 1988.
  75. Rückmann, J.-J., K. Tammer: Theoretical foundations of two-level methods in nonconvex optimization. In: J. Guddat et al. (editors), Advances in Mathematical Optimization, Akademie-Verlag, Berlin, 1988, 180-190.
  76. Jongen, H. Th., T. Möbert, J.-J. Rückmann, K. Tammer: On inertia and Schur complement in optimization. Linear Algebra and Appl. 95 (1987), 97-109.
  77. Guddat, J., H. Th. Jongen, J.-J. Rückmann: On stability and stationary points in nonlinear optimization. J. Austral. Math. Soc. Ser. B 28 (1986), 36-56.
  78. Rückmann, J.-J.: Bedingungen zur Durchführbarkeit von Kurvenverfolgungen in der nichtlinearen einparametrischen Optimierung. Proceedings of the Conference System Modelling and Optimization, Technische Hochschule Leipzig, Sektion Mathematik und Rechentechnik, 1984, 38-48.

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