Linear bilevel problems: Genericity results and an efficient method for computing local minima

Georg J. Still

doi:10.1007/s001860200189

Linear bilevel problems: Genericity results and an efficient method for computing local minima

Georg J. Still

Discrete Mathematics and Mathematical Programming

Research output: Contribution to journal › Article › Academic › peer-review

11 Citations (Scopus)

4 Downloads (Pure)

Abstract

The paper is concerned with linear bilevel problems. These nonconvex problems are known to be NP-complete. So, no theoretically efficient method for solving the global bilevel problem can be expected. In this paper we give a genericity analysis of linear bilevel problems and present a new algorithm for efficiently computing local minimizers. The method is based on the given structural analysis and combines ideas of the Simplex method with projected gradient steps.

Original language	English
Pages (from-to)	383-400
Journal	Mathematical methods of operations research
Volume	55
Issue number	3
DOIs	https://doi.org/10.1007/s001860200189
Publication status	Published - 2002

Access to Document

10.1007/s001860200189

Linear bilevel problems: Genericity results and an efficient method for computing local minima
Frederiks, T. J. & Still, G. J., 2000, Enschede: University of Twente. 20 p. (Memorandum; no. 1538)
Research output: Book/Report › Report › Professional

Open Access
File

Cite this

@article{fbba9856512848d69098acd419d5bfd5,

title = "Linear bilevel problems: Genericity results and an efficient method for computing local minima",

abstract = "The paper is concerned with linear bilevel problems. These nonconvex problems are known to be NP-complete. So, no theoretically efficient method for solving the global bilevel problem can be expected. In this paper we give a genericity analysis of linear bilevel problems and present a new algorithm for efficiently computing local minimizers. The method is based on the given structural analysis and combines ideas of the Simplex method with projected gradient steps.",

author = "Still, \{Georg J.\}",

year = "2002",

doi = "10.1007/s001860200189",

language = "English",

volume = "55",

pages = "383--400",

journal = "Mathematical methods of operations research",

issn = "1432-2994",

publisher = "Physica-Verlag",

number = "3",

}

TY - JOUR

T1 - Linear bilevel problems

T2 - Genericity results and an efficient method for computing local minima

AU - Still, Georg J.

PY - 2002

Y1 - 2002

N2 - The paper is concerned with linear bilevel problems. These nonconvex problems are known to be NP-complete. So, no theoretically efficient method for solving the global bilevel problem can be expected. In this paper we give a genericity analysis of linear bilevel problems and present a new algorithm for efficiently computing local minimizers. The method is based on the given structural analysis and combines ideas of the Simplex method with projected gradient steps.

AB - The paper is concerned with linear bilevel problems. These nonconvex problems are known to be NP-complete. So, no theoretically efficient method for solving the global bilevel problem can be expected. In this paper we give a genericity analysis of linear bilevel problems and present a new algorithm for efficiently computing local minimizers. The method is based on the given structural analysis and combines ideas of the Simplex method with projected gradient steps.

U2 - 10.1007/s001860200189

DO - 10.1007/s001860200189

M3 - Article

SN - 1432-2994

VL - 55

SP - 383

EP - 400

JO - Mathematical methods of operations research

JF - Mathematical methods of operations research

IS - 3

ER -

Linear bilevel problems: Genericity results and an efficient method for computing local minima

Abstract

Access to Document

Fingerprint

Research output

Linear bilevel problems: Genericity results and an efficient method for computing local minima

Cite this