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20142023
most citedGeneralization of Machine Learning for Problem Reduction: A Case Study on Travelling Salesman Problems

39 citations · 59 across the 13 of their papers we have counts for

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9 papers · 1 filter

math.OC2023★ 1 cited

The Agricultural Spraying Vehicle Routing Problem With Splittable Edge Demands

Qian Wan, Rodolfo García-Flores, Simon A. Bowly +2

In horticulture, spraying applications occur multiple times throughout any crop year. This paper presents a splittable agricultural chemical sprayed vehicle routing problem and for…

math.OC2022

Ranking Constraint Relaxations for Mixed Integer Programs Using a Machine Learning Approach

Jake Weiner, Andreas T. Ernst, Xiaodong Li +1

Solving large-scale Mixed Integer Programs (MIP) can be difficult without advanced algorithms such as decomposition based techniques. Even if a decomposition technique might be app…

math.OC2022

Adaptive Solution Prediction for Combinatorial Optimization

Yunzhuang Shen, Yuan Sun, Xiaodong Li +2

This paper aims to predict optimal solutions for combinatorial optimization problems (COPs) via machine learning (ML). To find high-quality solutions efficiently, existing work use…

math.OC2021★ 7 cited

Enhancing Column Generation by a Machine-Learning-Based Pricing Heuristic for Graph Coloring

Yunzhuang Shen, Yuan Sun, Xiaodong Li +2

Column Generation (CG) is an effective method for solving large-scale optimization problems. CG starts by solving a sub-problem with a subset of columns (i.e., variables) and gradu…

math.OC2021★ 6 cited

New commodity representations for multicommodity network flow problems: An application to the fixed-charge network design problem

Ahmad Kazemi, Pierre Le Bodic, Andreas Ernst +1

When solving hard multicommodity network flow problems using an LP-based approach, the number of commodities is a driving factor in the speed at which the LP can be solved, as it i…

math.OC2020★ 1 cited

Instance Space Analysis for the Car Sequencing Problem

Yuan Sun, Samuel Esler, Dhananjay Thiruvady +3

We investigate an important research question for solving the car sequencing problem, that is, which characteristics make an instance hard to solve? To do so, we carry out an insta…

math.OC2019

A linear programming approach to approximating the infinite time reachable set of strictly stable linear control systems

Andreas Ernst, Lars Grüne, Janosch Rieger

We develop a new numerical method for approximating the infinite time reachable set of strictly stable linear control systems. By solving a linear program with a constraint that in…

math.OC2019

A hybrid Benders decomposition and bees algorithm matheuristic approach to transmission expansion planning considering energy storage

Cameron A. G. MacRae, Melih Ozlen, Andreas T. Ernst

This paper introduces a novel hybrid optimisation algorithm that combines elements of both metaheuristic search and integer programming. This new matheuristic combines elements of…

math.OC2014

Transmission Expansion Planning Considering Energy Storage

Cameron A. G. MacRae, Melih Ozlen, Andreas T. Ernst

In electricity transmission networks, energy storage systems (ESS) provide a means of upgrade deferral by smoothing supply and matching demand. We develop a mixed integer programmi…