The Benders decomposition algorithm: A literature review

R Rahmaniani, TG Crainic, M Gendreau… - European Journal of …, 2017 - Elsevier
The Benders decomposition algorithm has been successfully applied to a wide range of
difficult optimization problems. This paper presents a state-of-the-art survey of this algorithm …

[HTML][HTML] A review on the performance of linear and mixed integer two-stage stochastic programming software

JJ Torres, C Li, RM Apap, IE Grossmann - Algorithms, 2022 - mdpi.com
This paper presents a tutorial on the state-of-the-art software for the solution of two-stage
(mixed-integer) linear stochastic programs and provides a list of software designed for this …

Integrated optimization of location, inventory and routing in supply chain network design

X Zheng, M Yin, Y Zhang - Transportation Research Part B: Methodological, 2019 - Elsevier
We study the integrated optimization of location, inventory and routing in supply chain
network design (SCDN) problem. The SCND decision has significant impact on the …

The Benders dual decomposition method

R Rahmaniani, S Ahmed, TG Crainic… - Operations …, 2020 - pubsonline.informs.org
Many methods that have been proposed to solve large-scale mixed integer linear
programing (MILP) problems rely on decomposition techniques. These methods exploit …

An improved L-shaped method for two-stage convex 0–1 mixed integer nonlinear stochastic programs

C Li, IE Grossmann - Computers & Chemical Engineering, 2018 - Elsevier
In this paper, we propose an improved L-shaped method to solve large-scale two-stage
convex 0–1 mixed-integer nonlinear stochastic programs with mixed-integer variables in …

A parallel hub-and-spoke system for large-scale scenario-based optimization under uncertainty

B Knueven, D Mildebrath, C Muir, JD Siirola… - Mathematical …, 2023 - Springer
Practical solution of stochastic programming problems generally requires the use of parallel
computing resources. Here, we describe the open source package mpi-sppy, in which …

[HTML][HTML] Optimization of CCUS supply chains for some European countries under the uncertainty

G Leonzio, PU Foscolo, E Zondervan - Processes, 2020 - mdpi.com
This paper develops a two-stage stochastic mixed integer linear programming model to
optimize Carbon Capture, Utilization and Storage (CCUS) supply chains in Italy, Germany …

Algorithms, analysis and software for the global optimization of two-stage stochastic programs

R Kannan - 2018 - dspace.mit.edu
Optimization models in the chemical process industries often include uncertain model
parameters due to uncertainties in market forces and the environment, use of reduced-order …

A new cross decomposition method for stochastic mixed-integer linear programming

E Ogbe, X Li - European Journal of Operational Research, 2017 - Elsevier
Two-stage stochastic mixed-integer linear programming (MILP) problems can arise naturally
from a variety of process design and operation problems. These problems, with a scenario …

[PDF][PDF] A review on the performance of linear and mixed integer two-stage stochastic programming algorithms and software

JJ Torres, C Li, RM Apap… - Optimization …, 2019 - optimization-online.org
This paper presents a tutorial on the state-of-the-art methodologies for the solution of two-
stage (mixed-integer) linear stochastic programs and provides a list of software designed for …