BOOK-CHAPTER

On an Algorithm Solving Bilevel Programming Problems

Abstract

Consider a situation where two decision makers try to realize best decisions with respect to their own objective functions thereby acting in an hierarchical manner. Assume that the first decision maker's (the leader's) choice y influences the second one's (the follower's) objective function as well as his set of admissible decisions.

Keywords:
Bilevel optimization Decision maker Set (abstract data type) Function (biology) Mathematical optimization Computer science Algorithm Mathematical economics Operations research Mathematics Optimization problem Programming language

Metrics

0
Cited By
0.00
FWCI (Field Weighted Citation Impact)
5
Refs
0.32
Citation Normalized Percentile
Is in top 1%
Is in top 10%

Topics

Transportation Planning and Optimization
Social Sciences →  Social Sciences →  Transportation
Economic theories and models
Social Sciences →  Economics, Econometrics and Finance →  Economics and Econometrics
Optimization and Variational Analysis
Physical Sciences →  Computer Science →  Computational Theory and Mathematics

Related Documents

JOURNAL ARTICLE

Orthogonal genetic algorithm for solving quadratic bilevel programming problems

Hong LiYong‐Chang JiaoLi Zhang

Journal:   Journal of Systems Engineering and Electronics Year: 2010 Vol: 21 (5)Pages: 763-770
JOURNAL ARTICLE

A trust region algorithm for solving bilevel programming problems

Guoshan LiuShiqin XuJiye Han

Journal:   Acta Mathematicae Applicatae Sinica English Series Year: 2013 Vol: 29 (3)Pages: 491-498
JOURNAL ARTICLE

Multi-Sine Cosine Algorithm for Solving Nonlinear Bilevel Programming Problems

Y. Abo-ElnagaM.A. El‐Shorbagy

Journal:   Greater South Information System Year: 2020
JOURNAL ARTICLE

Estimation of Distribution Algorithm for Solving Linear Bilevel Programming Problems

Huafei ChenHecheng Li

Journal:   DEStech Transactions on Computer Science and Engineering Year: 2018
JOURNAL ARTICLE

Multi-Sine Cosine Algorithm for Solving Nonlinear Bilevel Programming Problems

Y. Abo-ElnagaM.A. El‐Shorbagy

Journal:   International Journal of Computational Intelligence Systems Year: 2020 Vol: 13 (1)Pages: 421-421
© 2026 ScienceGate Book Chapters — All rights reserved.