Carbon nanotube reinforced supramolecular hydrogels for bioapplications

M Mihajlovic, M Mihajlovic… - Macromolecular …, 2019 - Wiley Online Library
Nanocomposite hydrogels based on carbon nanotubes (CNTs) are known to possess
remarkable stiffness, electrical, and thermal conductivity. However, they often make use of …

Relaxations and discretizations for the pooling problem

A Gupte, S Ahmed, SS Dey, MS Cheon - Journal of Global Optimization, 2017 - Springer
The pooling problem is a folklore NP-hard global optimization problem that finds
applications in industries such as petrochemical refining, wastewater treatment and mining …

The synthesis problem of decentralized energy systems is strongly NP-hard

S Goderbauer, M Comis, FJL Willamowski - Computers & Chemical …, 2019 - Elsevier
We analyze the computational complexity of the synthesis problem of decentralized energy
systems. This synthesis problem consists of combining various types of energy conversion …

Approximation algorithms for process systems engineering

D Letsios, R Baltean-Lugojan, F Ceccon… - Computers & Chemical …, 2020 - Elsevier
Designing and analyzing algorithms with provable performance guarantees enables
efficient optimization problem solving in different application domains, eg communication …

Strong convex nonlinear relaxations of the pooling problem

J Luedtke, C d'Ambrosio, J Linderoth… - SIAM Journal on …, 2020 - SIAM
We investigate new convex relaxations for the pooling problem, a classic nonconvex
production planning problem in which input materials are mixed in intermediate pools, with …

Piecewise parametric structure in the pooling problem: from sparse strongly-polynomial solutions to NP-hardness

R Baltean-Lugojan, R Misener - Journal of Global Optimization, 2018 - Springer
The standard pooling problem is a NP-hard subclass of non-convex quadratically-
constrained optimization problems that commonly arises in process systems engineering …

Convexifications of rank-one-based substructures in QCQPs and applications to the pooling problem

SS Dey, B Kocuk, A Santana - Journal of Global Optimization, 2020 - Springer
We study sets defined as the intersection of a rank-one constraint with different choices of
linear side constraints. We identify different conditions on the linear side constraints, under …

Tightening discretization-based MILP models for the pooling problem using upper bounds on bilinear terms

Y Chen, CT Maravelias, X Zhang - Optimization Letters, 2024 - Springer
Discretization-based methods have been proposed for solving nonconvex optimization
problems with bilinear terms such as the pooling problem. These methods convert the …

Using functional programming to recognize named structure in an optimization problem: application to pooling

F Ceccon, G Kouyialis, R Misener - AIChE Journal, 2016 - Wiley Online Library
Branch‐and‐cut optimization solvers typically apply generic algorithms, eg, cutting planes or
primal heuristics, to expedite performance for many mathematical optimization problems. But …

A polynomially solvable case of the pooling problem

N Boland, T Kalinowski, F Rigterink - Journal of Global Optimization, 2017 - Springer
Answering a question of Haugland, we show that the pooling problem with one pool and a
bounded number of inputs can be solved in polynomial time by solving a polynomial number …