Results 11 to 20 of about 9,354 (201)

An evolutionary algorithm based on approximation method and related techniques for solving bilevel programming problems. [PDF]

PLoS ONE, 2022
In the engineering and economic management fields, optimisation models frequently involve different decision-making levels. These are known as multi-level optimisation problems.
Yuhui Liu, Hecheng Li, Huafei Chen, Mei Ma   +3 more
doaj   +2 more sources

Solving ill-posed bilevel programs [PDF]

Set-Valued and Variational Analysis, 2016
This paper deals with ill-posed bilevel programs, i.e., problems admitting multiple lower-level solutions for some upper-level parameters. Many publications have been devoted to the standard optimistic case of this problem, where the difficulty is ...
AG Mersha, AG Mersha, B Colson, BS Mordukhovich, BS Mordukhovich, BS Mordukhovich, BS Mordukhovich, BS Mordukhovich, DA Molodtsov, G-H Lin, H Bonnel, HF von Stackelberg, J Fliege, J Jahn, J-P Aubin, JF Bard, JJ Ye, JJ Ye, JJ Ye, JJ Ye, JV Outrata, M Xu, M Červinka, NQ Huy, P Loridan, R Lucchetti, S Dempe, S Dempe, S Dempe, S Dempe, S Dempe, S Dempe, S Dempe, S Dempe, S Dempe, S Dempe, S Dempe, S Dempe, S Dempe, S Dias, S Ruuska, SM Robinson, TXD Ha, W Wiesemann   +43 more
core   +6 more sources

A Bilevel Programming Approach for Optimizing Multi-Satellite Collaborative Mission Planning [PDF]

Sensors
With the burgeoning of remote sensing and space technology, multi-satellite collaborative mission planning, which is the key to achieving efficient Earth observation, has become increasingly intricate due to the expanding complexity and volume of ...
Yi Wang, Desheng Liu
doaj   +2 more sources

Risk and resilience-based restoration optimization of transportation infrastructures under uncertainty. [PDF]

PLoS ONE
Disruptive events cause decreased functionality of transportation infrastructures and enormous financial losses. An effective way to reduce the effects of negative consequences is to establish an optimal restoration plan, which is recognized as a method ...
Juanjuan Lin, Qizhou Hu, Wangbing Lin, Minjia Tan   +3 more
doaj   +2 more sources

About a regional development model that takes into account environmental problems with budgeting uncertainty [PDF]

E3S Web of Conferences, 2021
Raw-materials base (hereinafter RMB) is one of the largest industries for financial investments in Russia. There are various mathematical descriptions for the development of regions with resource-based economy.
Novikov Artem
doaj   +1 more source

Inexact Restoration Methods for Semivectorial Bilevel Programming Problem on Riemannian Manifolds

Axioms, 2022
For a better understanding of the bilevel programming on Riemannian manifolds, a semivectorial bilevel programming scheme is proposed in this paper. The semivectorial bilevel programming is firstly transformed into a single-level programming problem by ...
Jiagen Liao, Zhongping Wan
doaj   +1 more source

A Survey on Mixed-Integer Programming Techniques in Bilevel Optimization

EURO Journal on Computational Optimization, 2021
Bilevel optimization is a field of mathematical programming in which some variables are constrained to be the solution of another optimization problem. As a consequence, bilevel optimization is able to model hierarchical decision processes.
Thomas Kleinert, Martine Labbé, Ivana Ljubić, Martin Schmidt   +3 more
doaj   +1 more source

Bilevel Programming and Applications [PDF]

Mathematical Problems in Engineering, 2015
A great amount of new applied problems in the area of energy networks has recently arisen that can be efficiently solved only as mixed-integer bilevel programs. Among them are the natural gas cash-out problem, the deregulated electricity market equilibrium problem, biofuel problems, a problem of designing coupled energy carrier networks, and so forth ...
Vyacheslav V. Kalashnikov, Stephan Dempe, Gerardo A. Pérez-Valdés, Nataliya I. Kalashnykova, José-Fernando Camacho-Vallejo   +4 more
openaire   +4 more sources

K-means cluster interactive algorithm-based evolutionary approach for solving bilevel multi-objective programming problems

Alexandria Engineering Journal, 2022
Solving bilevel multi-objective programming problems is one of the hardest tasks facing researchers in the optimization community. Bilevel multi-objective programming problems is an optimization problem consists of two interconnected hierarchical multi ...
Y. Abo-Elnaga, S. Nasr
doaj   +1 more source

An Active-Set Fischer–Burmeister Trust-Region Algorithm to Solve a Nonlinear Bilevel Optimization Problem

Fractal and Fractional, 2022
In this paper, the Fischer–Burmeister active-set trust-region (FBACTR) algorithm is introduced to solve the nonlinear bilevel programming problems. In FBACTR algorithm, a Karush–Kuhn–Tucker (KKT) condition is used with the Fischer–Burmeister function to ...
Bothina Elsobky, Gehan Ashry
doaj   +1 more source