91 Result(s)

Article

Convex mixed-integer nonlinear programs derived from generalized disjunctive programming using cones

We propose the formulation of convex Generalized Disjunctive Programming (GDP) problems using conic inequalities leading to conic GDP problems. We then show the reformulation of conic GDPs into Mixed-Integer C...

David E. Bernal Neira, Ignacio E. Grossmann in Computational Optimization and Applications (2024)

Living Reference Work Entry In depth

MINLP: Logic-Based Methods

Ignacio E. Grossmann in Encyclopedia of Optimization

Living Reference Work Entry In depth

Logic-Based Outer Approximation

Ignacio E. Grossmann in Encyclopedia of Optimization

Article

Surface facility optimization for combined shale oil and gas development strategies

In the context of a global energy transition, oil and gas will remain an important part of the energy mix, especially in develo** countries. The challenge of energy companies is to adapt to a changing policy...

Agustín F. Montagna, Diego C. Cafaro, Ignacio E. Grossmann… in Optimization and Engineering (2023)

Article

Pipeline network design for gathering unconventional oil and gas production using mathematical optimization

The optimal design of gathering networks for the unconventional oil and gas production is a relevant problem, particularly with the shale boom. In this work, we address a network design problem in which the ma...

Agustín F. Montagna, Diego C. Cafaro, Ignacio E. Grossmann… in Optimization and Engineering (2023)

Article

Alternative regularizations for Outer-Approximation algorithms for convex MINLP

In this work, we extend the regularization framework from Kronqvist et al. (Math Program 180(1):285–310, 2020) by incorporating several new regularization functions and develop a regularized single-tree search...

David E. Bernal, Zedong Peng, Jan Kronqvist… in Journal of Global Optimization (2022)

Article

Recent contributions to the optimal design of pipeline networks in the energy industry using mathematical programming

The optimal design of pipeline networks has inspired process systems engineers and operations research practitioners since the earliest times of mathematical programming. The nonlinear equations governing pres...

Diego C. Cafaro, Demian J. Presser, Ignacio E. Grossmann in TOP (2022)

Article

Pyomo.GDP: an ecosystem for logic based modeling and optimization development

We present three core principles for engineering-oriented integrated modeling and optimization tool sets—intuitive modeling contexts, systematic computer-aided reformulations, and flexible solution strategies—...

Qi Chen, Emma S. Johnson, David E. Bernal, Romeo Valentin… in Optimization and Engineering (2022)

Article

A biographical review of the research and impacts of Marco Duran

Kevin C. Furman, Ignacio E. Grossmann in Optimization and Engineering (2021)

Article

State of the art methods for combined water and energy systems optimisation in Kraft pulp mills

This paper presents a state-of-the-art overview of water and energy optimisation methods with applications to Kraft pulp mills. The main conclusions are highlighted, and several research gaps are identified an...

Elvis Ahmetović, Zdravko Kravanja, Nidret Ibrić… in Optimization and Engineering (2021)

Article

Sample average approximation for stochastic nonconvex mixed integer nonlinear programming via outer-approximation

We propose a sample average approximation-based outer-approximation algorithm (SAAOA) that can address nonconvex two-stage stochastic programs (SP) with any continuous or discrete probability distributions. Pr...

Can Li, David E. Bernal, Kevin C. Furman, Marco A. Duran… in Optimization and Engineering (2021)

Chapter and Conference Paper

Recent Advances in Computational Models for the Discrete and Continuous Optimization of Industrial Process Systems

An overview of the mathematical formulations used for discrete and continuous optimization are presented. These include Linear Programming, Nonlinear Programming, Integer Programming, Mixed-Integer Linear Prog...

Hector D. Perez, Ignacio E. Grossmann in Advances on Links Between Mathematics and Industry (2021)

Article

Electric power infrastructure planning under uncertainty: stochastic dual dynamic integer programming (SDDiP) and parallelization scheme

We address the long-term planning of electric power infrastructure under uncertainty. We propose a Multistage Stochastic Mixed-integer Programming formulation that optimizes the generation expansion to meet th...

Cristiana L. Lara, John D. Siirola, Ignacio E. Grossmann in Optimization and Engineering (2020)

Article

A computationally useful algebraic representation of nonlinear disjunctive convex sets using the perspective function

Nonlinear disjunctive convex sets arise naturally in the formulation or solution methods of many discrete–continuous optimization problems. Often, a tight algebraic representation of the disjunctive convex set...

Kevin C. Furman, Nicolas W. Sawaya… in Computational Optimization and Applications (2020)

Article

Using regularization and second order information in outer approximation for convex MINLP

In this paper, we present two new methods for solving convex mixed-integer nonlinear programming problems based on the outer approximation method. The first method is inspired by the level method and uses a re...

Jan Kronqvist, David E. Bernal, Ignacio E. Grossmann in Mathematical Programming (2020)