On multi-parametric programming and its applications in process systems engineering
In multi-parametric programming, an optimization problem is solved for a range and as a
function of multiple parameters. In this review, we discuss the main developments of multi …
function of multiple parameters. In this review, we discuss the main developments of multi …
Multiparametric programming in process systems engineering: Recent developments and path forward
The inevitable presence of uncertain parameters in critical applications of process
optimization can lead to undesirable or infeasible solutions. For this reason, optimization …
optimization can lead to undesirable or infeasible solutions. For this reason, optimization …
Bilevel optimization: theory, algorithms, applications and a bibliography
S Dempe - Bilevel optimization: advances and next challenges, 2020 - Springer
Bilevel optimization problems are hierarchical optimization problems where the feasible
region of the so-called upper level problem is restricted by the graph of the solution set …
region of the so-called upper level problem is restricted by the graph of the solution set …
Pop–parametric optimization toolbox
R Oberdieck, NA Diangelakis… - Industrial & …, 2016 - ACS Publications
In this paper, we describe POP, a MATLAB toolbox for parametric optimization. It features (a)
efficient implementations of multiparametric programming problem solvers for …
efficient implementations of multiparametric programming problem solvers for …
On unbounded and binary parameters in multi-parametric programming: applications to mixed-integer bilevel optimization and duality theory
In multi-parametric programming an optimization problem is solved as a function of certain
parameters, where the parameters are commonly considered to be bounded and …
parameters, where the parameters are commonly considered to be bounded and …
Explicit machine learning-based model predictive control of nonlinear processes via multi-parametric programming
Abstract Machine learning-based model predictive control (ML-MPC) has been developed to
control nonlinear processes with unknown first-principles models. While ML models can …
control nonlinear processes with unknown first-principles models. While ML models can …
Deterministic solution approach for some classes of nonlinear multilevel programs with multiple followers
In this paper we investigate multilevel programming problems with multiple followers in each
hierarchical decision level. It is known that such type of problems are highly non-convex and …
hierarchical decision level. It is known that such type of problems are highly non-convex and …
Three-level global resource allocation model for HIV control: a hierarchical decision system approach
SM Kassa - Mathematical Biosciences & Engineering, 2018 - aimsciences.org
Funds from various global organizations, such as, The Global Fund, The World Bank, etc.
are not directly distributed to the targeted risk groups. Especially in the so-called third-world …
are not directly distributed to the targeted risk groups. Especially in the so-called third-world …
[图书][B] Multi-level Mixed-Integer Optimization: Parametric Programming Approach
S Avraamidou, E Pistikopoulos - 2022 - books.google.com
This book provides the fundamental underlying mathematical theory, numerical algorithms
and effi cient computational tools for the solution of multi-level mixedinteger optimization …
and effi cient computational tools for the solution of multi-level mixedinteger optimization …
A relaxation solving approach for the linear trilevel programming problem
Y Lv, J Jiang - Computational and Applied Mathematics, 2021 - Springer
In this paper, the global and local optimal solutions of the linear trilevel programming
problem are concerned. First, we replace the lower level problem with its optimality …
problem are concerned. First, we replace the lower level problem with its optimality …