Bard, J.F. (1998). "Practical Bilevel Optimization: Algorithms and Applications." Kluwer Book Series: Nonconvex Optimization and its Applications, Vol. 30. Home/Search Document Details and Download
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Annotated Bibliography on Bilevel Programming and Mathematical.. - Dempe (2003) (Correct)
....of a bilevel programming problem in an economical context in the monograph [v. Stackelberg, 1934] the bilevel programming problems as well as the mathematical programs with equilibrium constraints have been intensively investigated by many researchers. The results can be found in the monographs [Bard, 1998], Dempe, 2002] Mesanovic et al. 1970] and [Shimizu et al. 1997] on bilevel programming, the monographs [Luo et al. 1996a] and [Outrata et al. 1998] on mathematical programs with equilibrium constraints as well as in the edited volumes [Anandalingam and Friesz, 1992b] and [Migdalas et al. ....
.... of bilevel programming problems can be found in the papers [Kornaj and Liptak, 1965] Leitman, 1978] Luh et al. 1984] Moraal, 1983] Ross, 1973] and [Simaan and Cruz, 1973] The most comprehensive overview over the historical development of bilevel programming can be found in the monograph [Bard, 1998]. This book is also very helpful as an introduction into bilevel programming. As long as it is maintained, an actual bibliography of this topic in bibtex format can be found in the internet on the page http: www.mathe.tu freiberg.de dempe Artikel I am interested in adding more references to ....
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Bard, J. F. (1998). Practical Bilevel Optimization: Algorithms and Applications. Kluwer Academic Publishers, Dordrecht.
Equilibrium, Games, and Pricing in Transportation and.. - Altman, Wynter (2002) (Correct)
....methods, in which the constraint x 2 S(p) expressed by its KKT conditions, is penalized in the objective, g; as well as sensitivity based methods, that obtain a subgradient of the objective, g; through sensitivity analysis and apply subgradient or bundle methods. See for the penalty approach [4] and [33] for the sensitivity based methods. 4 Perspectives This paper has highlighted a number of areas in which common features between transportation and telecommunication network models exist, and where future research e ort would be worthwhile. Here we summarize a few of the areas that ....
J.F. Bard, "Practical Bilevel Optimization: Algorithms and Applications " Kluwer Book Series: Nonconvex Optimization and its Applications, 30, 1998.
A Bundle Trust Region Algorithm for Bilinear Bilevel Programming - Dempe, Bard (2001) Self-citation (Bard) (Correct)
....Program in Operations Research, University of Texas, Austin, U.S.A. jbard mail.utexas.edu 1 Introduction Bilevel programming is a model for a static, two person game in which each player tries to optimize his or her individual objective function subject to a set of interdependent constraints [1, 2, 3]. Play is sequential and assumed to be uncooperative. The decision variables are partitioned amongst the players, and the choices of one affect the payoffs and choices available to the other. However, neither player can completely dominate his opponent, nor are solutions likely to be ....
....in Psi(y) The quotation marks around the min operator in the leader s objective function (1) are included to call attention to this potential ambiguity. The majority of the algorithms developed for solving bilevel programs ignore this issue and assume that Psi(y) is a point to point map [2]. Nevertheless, for problem (5) 7) it is an easy matter to check any algorithmic solution, say x 2 Psi(y) to see if it is unique, and if not, to determine whether any other point in Psi(y) yields a smaller objective function value in (1) than y Q 1 x Gamma flP 1 x. In the next ....
[Article contains additional citation context not shown here]
J.F. Bard. Practical Bilevel Optimization: Algorithms and Applications. Kluwer Academic Publishers, Dordrecht, 1998.
Equilibrium, Games, and Pricing in Transportation and.. - Altman, Wynter (2002) (Correct)
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Bard, J.F. (1998). "Practical Bilevel Optimization: Algorithms and Applications." Kluwer Book Series: Nonconvex Optimization and its Applications, Vol. 30.
A Mixed-Discrete Bilevel Programming Problem - Dempe, Kalashnikov (Correct)
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Bard, J. F. (1998) Practical Bilevel Optimization: Algorithms and Applications. Kluwer Academic Publishers, Dordrecht
A Mathematical Model and Descent Algorithm for Bilevel.. - Patriksson, Rockafellar (2001) (Correct)
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J. F. Bard, Practical Bilevel Optimization: Algorithms and Applications, Kluwer Academic Publishers, Dordrecht, The Netherlands, 1998.
A Multicriteria Approach to Bilevel Optimization - Fliege, Vicente (Correct)
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J. F. Bard, Practical Bilevel Optimization: Algorithms and Applications, Kluwer Academic Publishers, Dordrecht, 1998.
Bilevel Programming: Formulation - Marcotte, al. (1999) (Correct)
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Bard, J.F.: Practical Bilevel Optimization: Algorithms and Applications, Kluwer Academic Publishers, 1998.
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