On multi-parametric programming and its applications in process systems engineering

R Oberdieck, NA Diangelakis, I Nascu… - … research and design, 2016 - Elsevier
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 …

Planning and scheduling under uncertainty: a review across multiple sectors

PM Verderame, JA Elia, J Li… - Industrial & engineering …, 2010 - ACS Publications
This paper provides an overview of the key contributions within the planning and scheduling
communities with specific emphasis on uncertainty analysis. As opposed to focusing in one …

Recent advances in multiparametric nonlinear programming

LF Domínguez, DA Narciso, EN Pistikopoulos - Computers & Chemical …, 2010 - Elsevier
In this paper, we present recent developments in multiparametric nonlinear programming.
For the case of convex problems, we highlight key issues regarding the full characterization …

Parametric optimization for morphing structures design: application to morphing wings adapting to changing flight conditions

JM Weaver-Rosen, PBC Leal, DJ Hartl… - Structural and …, 2020 - Springer
Morphing structures can allow significant improvements in performance by optimally
changing shape across varying conditions. A critical barrier to the design of morphing …

The exact solution of multiparametric quadratically constrained quadratic programming problems

I Pappas, NA Diangelakis, EN Pistikopoulos - Journal of Global …, 2021 - Springer
In this paper, we present a strategy for the exact solution of multiparametric quadratically
constrained quadratic programs (mpQCQPs). Specifically, we focus on multiparametric …

A new methodology for the general multiparametric mixed-integer linear programming (MILP) problems

Z Li, MG Ierapetritou - Industrial & engineering chemistry research, 2007 - ACS Publications
In this paper, a general algorithm is developed to address the multiparametric mixed-integer
linear programming (mpMILP) problem with uncertain parameters in the left-hand side …

[HTML][HTML] Multi-parametric mixed integer linear programming under global uncertainty

VM Charitopoulos, LG Papageorgiou, V Dua - Computers & Chemical …, 2018 - Elsevier
Major application areas of the process systems engineering, such as hybrid control,
scheduling and synthesis can be formulated as mixed integer linear programming (MILP) …

Process scheduling under uncertainty using multiparametric programming

Z Li, MG Ierapetritou - AIChE journal, 2007 - Wiley Online Library
In this article, the problem of process scheduling under uncertainty was studied using
multiparametric programming method. Based on the uncertainty type (prices, demands, and …

On the global solution of multi-parametric mixed integer linear programming problems

M Wittmann-Hohlbein, EN Pistikopoulos - Journal of Global Optimization, 2013 - Springer
This paper deals with the global solution of the general multi-parametric mixed integer linear
programming problem with uncertainty in the entries of the constraint matrix, the right-hand …

Theoretical and algorithmic advances in multi-parametric programming and control

EN Pistikopoulos, L Dominguez, C Panos… - Computational …, 2012 - Springer
This paper presents an overview of recent theoretical and algorithmic advances, and
applications in the areas of multi-parametric programming and explicit/multi-parametric …