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New embeddings for nonlinear multiobjective optimization problems I (1998)  (Make Corrections)  (1 citation)
Jürgen Guddat, Francisco GUERRA, Dieter NOWACK



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Abstract: In a dialogue procedure the decision maker has to determine in each step the aspiration and reservation level expressing his wishes (goals). This leads to an optimization problem which is not easy to solve in the nonconvex case (the known starting point is not feasible). We propose a modified standard embedding (one parametric optimization). This problem will be discussed from the point of view of parametric optimization (non-degenerate critical points, singularities, pathfollowing methods to... (Update)

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BibTeX entry:   (Update)

Guddat, J.; Guerra, F.; Nowack, D.; Ruckmann, J.-J.: New embeddings for nonlinear multiobjective optimization problems II (a standard embedding with equality and inequality constratints), submitted to Yougoslav Journal of Operations Research. http://citeseer.ist.psu.edu/guddat98new.html   More

@misc{ guddat-new,
  author = "J. Guddat and F. Guerra and D. Nowack and J. uckmann",
  title = "New embeddings for nonlinear multiobjective optimization problems II",
  text = "Guddat, J.; Guerra, F.; Nowack, D.; Ruckmann, J.-J.: New embeddings for
    nonlinear multiobjective optimization problems II (a standard embedding
    with equality and inequality constratints), submitted to Yougoslav Journal
    of Operations Research.",
  url = "citeseer.ist.psu.edu/guddat98new.html" }
Citations (may not include all citations):
19   the Completeness and Constructiveness of Parametric Characte.. (context) - Wierzbicki - 1986
18   Management Models and Industrial Applications of Linear Prog.. (context) - Charnes, Cooper - 1961
10   Parametric Optimization: Singularities (context) - Guddat, Guerra et al. - 1990
10   Critical Sets in Parametric Optimization (context) - Jongen, Th et al. - 1986
6   On Stability and Stationary Points in Nonlinear Optimization (context) - Guddat, Jongen et al. - 1986
6   Multiobjective and Stochastic Optimization Based on Parametr.. (context) - Guddat, Guerra et al. - 1985
5   On Linear-Quadratic Perturbations in OneParametric Non-Linea.. (context) - Ruckmann, Tammer - 1992
4   Continuous Deformation of Nonlinear Programs (context) - Kojima, Hirabayashi - 1984
4   Pathfollowing Methods for Kuhn-Tucker Curves by an Active In.. (context) - Gfrerer, Guddat et al. - 1985
4   One-Parametric Optimization: Jumps in the Set of Generalized.. (context) - Guddat, Ruckmann - 1994
3   the Role of the Mangasarian-Fromovitz Constraint Qualificati.. - Guddat, Guerra et al. - 1997
3   Efficient Sets in Vector Maximum Problems - a Brief Survey (context) - Gal - 1982
3   Implementation of a Pathfollowing Procedure for Solving Nonl.. (context) - Wendler - 1993
2   On One-Parametric Families of Optimization Problems (context) - Jongen, Th et al. - 1986
2   Humboldt-Universitat Berlin (context) - Gollmer, Kausmann et al. - 1997
1   Archivum Automatyki i Telemechaniki (context) - Guddat, Guerra - 1987
1   On Modifications of the Standard Embedding in Nonlinear Opti.. - Noubiap - 1997
1   On Generic Quadratic Penalty Embeddings for Nonlinear Optimi.. - Gomez - 1997
1   To appear in: Mathematical Methods of Operations Research (context) - Gomez - 1997
1   Multiobjective Optimization: Singularities (context) - Guddat, Guerra et al. - 1991

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