A penalty method with trust-region mechanism for nonlinear bilevel optimization problem-Reference-Cited by-同舟云学术

A penalty method with trust-region mechanism for nonlinear bilevel optimization problem

Published:2018-10 Issue: Volume:340 Page:360-374
ISSN:0377-0427
Container-title:Journal of Computational and Applied Mathematics
language:en
Short-container-title:Journal of Computational and Applied Mathematics

Author:

El-Sobky B.^ORCID,Abo-Elnaga Y.

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Mathematics

Reference25 articles.

1. Global optimization of concave functions subject to quadratic constraints: An application in nonlinear bilevel programming;Al-Khayal;Ann. Oper. Res.,1992

2. On bilevel programming, Part I: general nonlinear cases;Falk;Math. Program.,1995

3. The steepest descent direction for the nonlinear bilevel programming problem;Savard;Oper. Res. Lett.,1994

4. Algorithms for nonlinear bilevel mathematical programs;Edmunds;IEEE Trans. Syst. Man Cybern.,1991

5. N. Thoai, Y. Yamamoto, A. Yoshise, Global Optimization Method for Solving Mathematical Programs with Linear Complementarity Constraints, Discussion Paper No. 987, Institute of Policy and Planning Sciences, University of Tsukuba, Japan, May 2002.

Cited by 19 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Stackelberg Pricing Game for Ride-Hailing Platforms With Combined Travel Modes;IEEE Transactions on Intelligent Transportation Systems;2024

2. A nonmonton active interior point trust region algorithm based on CHKS smoothing function for solving nonlinear bilevel programming problems;AIMS Mathematics;2024

3. A Brief Review of Bilevel Optimization Techniques and Their Applications;Handbook of Formal Optimization;2024

4. A Brief Review of Bilevel Optimization Techniques and Their Applications;Handbook of Formal Optimization;2024

5. An Active-Set Fischer–Burmeister Trust-Region Algorithm to Solve a Nonlinear Bilevel Optimization Problem;Fractal and Fractional;2022-07-27