Advanced search
Publication Cover
Optimization
A Journal of Mathematical Programming and Operations Research
Volume 58, 2009 - Issue 8
Submit an article Journal homepage
376
Views
20
CrossRef citations to date
0
Altmetric
Original Articles

Bilevel programming with discrete lower level problems

Diana Fanghänel Department of Computer Science, University of Cologne, Cologne, Germany
&
Stephan Dempe Department of Mathematics and Computer Science, TU Bergakademie Freiberg, Freiberg, GermanyCorrespondence[email protected]
Pages 1029-1047 | Received 14 Sep 2006, Accepted 13 Aug 2007, Published online: 02 Nov 2009

Citations (20)

Keep up to date with the latest research on this topic with citation updates for this article.

Subscribe to citation updates

Read on this site (2)

S. Dempe, F. Mefo Kue & P. Mehlitz. (2018) Optimality conditions for mixed discrete bilevel optimization problems. Optimization 67:6, pages 737-756.
Read now
Hong Li, Li Zhang & Yong-Chang Jiao. (2016) An interactive approach based on a discrete differential evolution algorithm for a class of integer bilevel programming problems. International Journal of Systems Science 47:10, pages 2330-2341.
Read now

Articles from other publishers (18)

Shraddha Ghatkar, Ashwin Arulselvan & Alec Morton. (2023) Solution techniques for Bi-level Knapsack Problems. Computers & Operations Research 159, pages 106343.
Crossref
J.M. Morales, M.A. Muñoz & S. Pineda. (2023) Prescribing net demand for two-stage electricity generation scheduling. Operations Research Perspectives 10, pages 100268.
Crossref
Guillaume Carlier & Lina Mallozzi. (2021) Softening Bilevel Problems Via Two-scale Gibbs Measures. Set-Valued and Variational Analysis 30:2, pages 573-595.
Crossref
Claudio Gambella, Bissan Ghaddar & Joe Naoum-Sawaya. (2021) Optimization problems for machine learning: A survey. European Journal of Operational Research 290:3, pages 807-828.
Crossref
Thomas Kleinert, Martine Labbé, Ivana Ljubić & Martin Schmidt. (2021) A Survey on Mixed-Integer Programming Techniques in Bilevel Optimization. EURO Journal on Computational Optimization 9, pages 100007.
Crossref
Stephan Dempe. 2020. Bilevel Optimization. Bilevel Optimization 581 672 .
Leonardo Lozano & J. Cole Smith. (2017) A Value-Function-Based Exact Approach for the Bilevel Mixed-Integer Programming Problem. Operations Research 65:3, pages 768-786.
Crossref
S. Dempe & F. Mefo Kue. (2016) Solving discrete linear bilevel optimization problems using the optimal value reformulation. Journal of Global Optimization 68:2, pages 255-277.
Crossref
Raffaele Carli, Mariagrazia Dotoli & Roberta Pellegrino. (2017) A Hierarchical Decision-Making Strategy for the Energy Management of Smart Cities. IEEE Transactions on Automation Science and Engineering 14:2, pages 505-523.
Crossref
Chuanjia Li & Lei Guo. (2017) A single-level reformulation of mixed integer bilevel programming problems. Operations Research Letters 45:1, pages 1-5.
Crossref
Matthew J. Robbins & Brian J. Lunday. (2016) A bilevel formulation of the pediatric vaccine pricing problem. European Journal of Operational Research 248:2, pages 634-645.
Crossref
Polyxeni-M. Kleniati & Claire S. Adjiman. (2015) A generalization of the Branch-and-Sandwich algorithm: From continuous to mixed-integer nonlinear bilevel problems. Computers & Chemical Engineering 72, pages 373-386.
Crossref
Diana Fanghänel. (2012) A bilevel programming problem with maximization of a supermodular function in the lower level. Journal of Combinatorial Optimization 26:3, pages 568-584.
Crossref
Wolfram Wiesemann, Angelos Tsoukalas, Polyxeni-Margarita Kleniati & Berç Rustem. (2013) Pessimistic Bilevel Optimization. SIAM Journal on Optimization 23:1, pages 353-380.
Crossref
Guocheng Zou, Liping Jia & Jin Zou. (2012) Random-weight based genetic algorithm for multiobjective bilevel mixed linear integer programming. Random-weight based genetic algorithm for multiobjective bilevel mixed linear integer programming.
Alexander J. Zaslavski. (2012) Necessary optimality conditions for bilevel minimization problems. Nonlinear Analysis: Theory, Methods & Applications 75:3, pages 1655-1678.
Crossref
Diana Fanghänel. (2010) Optimality conditions for a bilevel matroid problem. Journal of Combinatorial Optimization 22:4, pages 594-608.
Crossref
András Kovács & Tamás Kis. (2010) Constraint programming approach to a bilevel scheduling problem. Constraints 16:3, pages 317-340.
Crossref

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.