Application of particle swarm optimization based on CHKS smoothing function for solving nonlinear bilevel programming problem

Yan Jiang, Xuyong Li, Chongchao Huang, Xianing Wu

Type: Article

Publication Date: 2012-11-15

Citations: 71

DOI: https://doi.org/10.1016/j.amc.2012.10.010

View Publication

Locations

Applied Mathematics and Computation - View

Similar Works

Action	Title	Year	Authors
+	An Effective Solution to Nonlinear Bilevel Programming Problems Using Improved Particle Swarm Optimization Algorithm	2017	Zhonghua Li Liping Jia Caiming Liu
+	A particle swarm–BFGS algorithm for nonlinear programming problems	2012	Ali Mohammad-Nezhad Roohollah Aliakbari Shandiz Abdolhamid Eshraghniaye Jahromi
+	Particle Swarm Optimization Approach For Solving Complex Variable Fractional Programming Problems	2013	Ibrahim M. Hezam Osama Abdel Raouf
+	A hybrid intelligent algorithm by combining particle swarm optimization with chaos searching technique for solving nonlinear bilevel programming problems	2012	Zhongping Wan Guangmin Wang Bin Sun
+	Genetic algorithm for solving quadratic bilevel programming problem	2007	Guangmin Wang Zhongping Wan Xianjia Wang Debin Fang
+	Genetic Algorithm for Solving Quadratic Bilevel Programming Problem	2007	Wang Guangmin Wan  Zhongping Xianjiai Fang Debin
+	A Novel Method for Solving Nonlinear Bilevel Programming Based on hybrid Particle Swarm Optimization	2006	Zhenkui Pei Shengfeng Tian Houkuan Huang
+	A revised particle swarm optimization based discrete Lagrange multipliers method for nonlinear programming problems	2010	Ali Mohammad-Nezhad Hashem Mahlooji
+	An efficient algorithm based on artificial neural networks and particle swarm optimization for solution of nonlinear Troesch’s problem	2015	Neha Yadav Anupam Yadav Manoj Kumar Joong Hoon Kim
+	Enhanced Pattern Search Combined with Filter Method for Solving Nonlinear Bilevel Programming Problems	2024	Qin Wang Bin Cheng Yizhong Huang
+ PDF Chat	Improving the Particle Swarm Optimization Algorithm Using the Simplex Method at Late Stage	2006	Fang Wang Yuhui Qiu
+	Modified Particle Swarm Optimization for Solving Systems of Equations	2007	Qinghua Wang Jianchao Zeng Jing Jie
+	Bilevel-search particle swarm optimization for computationally expensive optimization problems	2021	Yuan Yan Qin Zhou Shi Cheng Qunfeng Liu Yun Li
+	Particle Swarm Optimization Based Algorithm for Bilevel Programming Problems	2006	Zhigang Zhao Xinyi Gu
+	Particle swarm optimization algorithm using complex-order derivative concept: A comprehensive study	2021	Seyed Mehdi Abedi Pahnehkolaei Alireza Alfi J. A. Tenreiro Machado
+	Improvement of Euler＇s Method Using Particle Swarm Optimization	2012	Naceur Khelil Nacer Rahmani Leïla Djerou
+ PDF Chat	Improvement of Gregory's formula using Particle Swarm Optimization	2009	N. Khelil. L. Djerou A. Zerarka Mohamed Batouche
+	A homotopy method for solving bilevel programming problem	2004	Dao Li Zhu Qing Xu Zhenghua Lin
+	Hybridization of particle swarm optimization with quadratic approximation	2009	Kusum Deep Jagdish Chand Bansal
+ PDF Chat	An Approximate Solution Method Based on Particle Swarm Optimization for Nonlinear Programming Problems	2008	K. Kato Takeshi Matsui Masatoshi Sakawa Kenji Morihara

Works That Cite This (24)

Action	Title	Year	Authors
+	Fuzzy bilevel programming with multiple non-cooperative followers: model, algorithm and application	2016	Hua Ke Huang Hu Dan A. Ralescu Lei Wang
+ PDF Chat	The Estimation of Particle Swarm Distribution Algorithm With Sensitivity Analysis for Solving Nonlinear Bilevel Programming Problems	2020	Guangmin Wang Linmao Ma
+	An Ameliorated Teaching-Learning Based Optimization Algorithm for Nonlinear Bilevel Programming	2016	Liping Jia Zhonghua Li
+ PDF Chat	Multi-Population Based Ensemble Mutation Method for Single Objective Bilevel Optimization Problem	2016	Xiangtao Li Shijing Ma Yunhe Wang
+ PDF Chat	Linearly convergent bilevel optimization with single-step inner methods	2023	Ensio Suonperä Tuomo Valkonen
+	An approach for solving a fuzzy bilevel programming problem through nearest interval approximation approach and KKT optimality conditions	2016	Aihong Ren Yuping Wang
+	Uncertain random multilevel programming with application to production control problem	2014	Hua Ke Taoyong Su Yaodong Ni
+	Using Karush-Kuhn-Tucker proximity measure for solving bilevel optimization problems	2018	Ankur Sinha Tharo Soun Kalyanmoy Deb
+ PDF Chat	Solving Linear Tri-level Programming Problem Using Heuristic Method Based on Bi-section Algorithm	2017	Eghbal Hosseini
+	Linearly convergent bilevel optimization with single-step inner methods	2022	Ensio Suonperä Tuomo Valkonen

Works Cited by This (16)

Action	Title	Year	Authors
+	None	2001	Zeynep H. Gümüş Christodoulos A. Floudas
+	Solving quadratic convex bilevel programming problems using a smoothing method	2011	Jean Bosco Etoa Etoa
+	A regularization smoothing Newton method for solving nonlinear complementarity problem	2008	Xiaohong Chen Changfeng Ma
+	A solution method for the static constrained Stackelberg problem via penalty method	1984	E. Aiyoshi K. Shimizu
+	The steepest descent direction for the nonlinear bilevel programming problem	1994	Gilles Savard Jacques Gauvin
+	Double penalty method for bilevel optimization problems	1992	Yo Ishizuka Eitaro Aiyoshi
+	Mathematical Programs with Complementarity Constraints: Stationarity, Optimality, and Sensitivity	2000	Holger Scheel Stefan Scholtes
+	On bilevel programming, Part I: General nonlinear cases	1995	James E. Falk Jiming Liu
+	A new computational method for Stackelberg and min-max problems by use of a penalty method	1981	K. Shimizu E. Aiyoshi
+	Some Noninterior Continuation Methods for Linear Complementarity Problems	1996	Christian Kanzow