A review of piecewise linearization methods

MH Lin, JG Carlsson, D Ge, J Shi… - … problems in Engineering, 2013 - Wiley Online Library
Various optimization problems in engineering and management are formulated as nonlinear
programming problems. Because of the nonconvexity nature of this kind of problems, no …

Multi-objective reconfiguration of radial distribution systems using reliability indices

NG Paterakis, A Mazza, SF Santos… - … on Power Systems, 2015 - ieeexplore.ieee.org
This paper deals with the distribution network reconfiguration problem in a multi-objective
scope, aiming to determine the optimal radial configuration by means of minimizing the …

Cognitive and scalable technique for securing IoT networks against malware epidemics

SMP Dinakarrao, X Guo, H Sayadi, C Nowzari… - IEEE …, 2020 - ieeexplore.ieee.org
The sheer volume of IoT networks being deployed today presents a major “attack surface”
and poses significant security risks at a scale never encountered before. In other words, a …

On the derivation of continuous piecewise linear approximating functions

L Kong, CT Maravelias - INFORMS Journal on Computing, 2020 - pubsonline.informs.org
We propose mixed-integer programming models for fitting univariate discrete data points
with continuous piecewise linear (PWL) functions. The number of approximating function …

Reformulations for utilizing separability when solving convex MINLP problems

J Kronqvist, A Lundell, T Westerlund - Journal of Global Optimization, 2018 - Springer
Several deterministic methods for convex mixed integer nonlinear programming generate a
polyhedral approximation of the feasible region, and utilize this approximation to obtain trial …

A joint pricing, supplier selection, and inventory replenishment model using the logit demand function

L Duan, JA Ventura - Decision Sciences, 2021 - Wiley Online Library
We revisit the joint pricing, supplier selection, and inventory replenishment problem for a
single item in a two‐stage system examined by Adeinat and Ventura (2015) and use the …

Polyhedral approximation strategies for nonconvex mixed-integer nonlinear programming in SHOT

A Lundell, J Kronqvist - Journal of Global Optimization, 2022 - Springer
Different versions of polyhedral outer approximation are used by many algorithms for mixed-
integer nonlinear programming (MINLP). While it has been demonstrated that such methods …

Improved logarithmic linearizing method for optimization problems with free-sign pure discrete signomial terms

HC Lu - Journal of Global Optimization, 2017 - Springer
Free-sign pure discrete signomial (FPDS) terms are vital to and are frequently observed in
many nonlinear programming problems, such as geometric programming, generalized …

Energy optimization of water supply system scheduling: Novel MINLP model and efficient global optimization algorithm

H Shi, F You - AIChE Journal, 2016 - Wiley Online Library
This article is concerned with global optimization of water supply system scheduling with
pump operations to minimize total energy cost. The scheduling problem is first formulated as …

The supporting hyperplane optimization toolkit for convex MINLP

A Lundell, J Kronqvist, T Westerlund - Journal of Global Optimization, 2022 - Springer
In this paper, an open-source solver for mixed-integer nonlinear programming (MINLP)
problems is presented. The Supporting Hyperplane Optimization Toolkit (SHOT) combines a …