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 …

Multiparametric programming in process systems engineering: Recent developments and path forward

I Pappas, D Kenefake, B Burnak… - Frontiers in Chemical …, 2021 - frontiersin.org
The inevitable presence of uncertain parameters in critical applications of process
optimization can lead to undesirable or infeasible solutions. For this reason, optimization …

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 …

Process design and control optimization: A simultaneous approach by multi‐parametric programming

NA Diangelakis, B Burnak, J Katz… - AIChE …, 2017 - Wiley Online Library
We present a framework for the application of design and control optimization via multi‐
parametric programming through four case studies. We develop design dependent multi …

Warm start of mixed-integer programs for model predictive control of hybrid systems

T Marcucci, R Tedrake - IEEE Transactions on Automatic …, 2020 - ieeexplore.ieee.org
In hybrid model predictive control (MPC), a mixed-integer quadratic program (MIQP) is
solved at each sampling time to compute the optimal control action. Although these …

Chance constrained policy optimization for process control and optimization

P Petsagkourakis, IO Sandoval, E Bradford… - Journal of Process …, 2022 - Elsevier
Chemical process optimization and control are affected by (1) plant-model mismatch,(2)
process disturbances, and (3) constraints for safe operation. Reinforcement learning by …

Surrogate-assisted constraint-handling technique for parametric multi-objective optimization

YK Tsai, RJ Malak Jr - Structural and Multidisciplinary Optimization, 2024 - Springer
This work describes a new surrogate-assisted constraint-handling technique (CHT) for
parametric multi-objective evolutionary algorithms, called Bayesian CHT. Parametric …

[HTML][HTML] Closed-loop integration of planning, scheduling and multi-parametric nonlinear control

VM Charitopoulos, LG Papageorgiou, V Dua - Computers & Chemical …, 2019 - Elsevier
In this article, motivated by the need for efficient closed-loop implementation of the control
objectives set within the integrated planning, scheduling and control (iPSC) problem we …

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 …

[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) …