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This applied research article explores the application of Mixed-Integer Linear Programming (MILP) to address line-balancing challenges in the garment industry, focusing on optimizing production processes under multiple constraints. By…

Optimization and Control · Mathematics 2025-04-10 Ray Wai Man Kong , Ding Ning , Theodore Ho Tin Kong

Finding optimal join orders is among the most crucial steps to be performed by query optimisers. Though extensively studied in data management research, the problem remains far from solved: While query optimisers rely on exhaustive search…

Databases · Computer Science 2025-10-24 Manuel Schönberger , Immanuel Trummer , Wolfgang Mauerer

In this paper, we propose a new mixed-integer linear programming (MILP) model ontology and a novel constraint typology of MILP formulations. MILP is a commonly used mathematical programming technique for modelling and solving real-life…

Artificial Intelligence · Computer Science 2021-03-02 Bahadorreza Ofoghi , Vicky Mak , John Yearwood

Over the past few decades, neuroscience experiments have become increasingly complex and naturalistic. Experimental design has in turn become more challenging, as experiments must conform to an ever-increasing diversity of design…

Neurons and Cognition · Quantitative Biology 2020-12-07 Storm Slivkoff , Jack L. Gallant

A large number of real-world optimization problems can be formulated as Mixed Integer Linear Programs (MILP). MILP solvers expose numerous configuration parameters to control their internal algorithms. Solutions, and their associated costs…

Machine Learning · Computer Science 2023-07-04 Abdelrahman Hosny , Sherief Reda

Influence diagrams represent decision-making problems with interdependencies between random events, decisions, and consequences. Traditionally, they have been solved using algorithms that determine the expected utility-maximizing decision…

Optimization and Control · Mathematics 2026-01-14 Topias Terho , Fabricio Oliveira , Ahti Salo , Pedro Munari

Mixed Integer Linear Programming (MILP) is a fundamental class of NP-hard problems that has garnered significant attention from both academia and industry. The Branch-and-Bound (B\&B) method is the dominant approach for solving MILPs and…

Machine Learning · Computer Science 2025-11-27 Tongkai Lu , Shuai Ma , Chongyang Tao

This paper focuses on the problem of supplying the workstations of assembly lines with components during the production process. For that specific problem, this paper presents a Mixed Integer Linear Program (MILP) that aims at minimizing…

Mixed-integer linear programming (MILP) plays a crucial role in artificial intelligence, biochemistry, finance, cryptography, etc. Notwithstanding popular for decades, the researches of MILP solvers are still limited by the resource…

Quantum Physics · Physics 2022-04-12 Hao Wang , Yu Pan , Wei Cui

Mixed Integer Linear Programming (MILP) is a pillar of mathematical optimization that offers a powerful modeling language for a wide range of applications. During the past decades, enormous algorithmic progress has been made in solving…

Optimization and Control · Mathematics 2024-02-09 Lara Scavuzzo , Karen Aardal , Andrea Lodi , Neil Yorke-Smith

Designing faster algorithms for solving Mixed-Integer Linear Programming (MILP) problems is highly desired across numerous practical domains, as a vast array of complex real-world challenges can be effectively modeled as MILP formulations.…

Artificial Intelligence · Computer Science 2026-01-23 Ruizhi Liu , Liming Xu , Xulin Huang , Jingyan Sui , Shizhe Ding , Boyang Xia , Chungong Yu , Dongbo Bu

We transform join ordering into a mixed integer linear program (MILP). This allows to address query optimization by mature MILP solver implementations that have evolved over decades and steadily improved their performance. They offer…

Databases · Computer Science 2015-11-09 Immanuel Trummer , Christoph Koch

While Mixed-integer linear programming (MILP) is NP-hard in general, practical MILP has received roughly 100--fold speedup in the past twenty years. Still, many classes of MILPs quickly become unsolvable as their sizes increase, motivating…

Machine Learning · Computer Science 2023-05-29 Ziang Chen , Jialin Liu , Xinshang Wang , Jianfeng Lu , Wotao Yin

Machine Learning models are increasingly used for decision making, in particular in high-stakes applications such as credit scoring, medicine or recidivism prediction. However, there are growing concerns about these models with respect to…

Machine Learning · Computer Science 2023-04-12 Julien Rouzot , Julien Ferry , Marie-José Huguet

There has been growing interest in implementing massive MIMO systems by one-bit analog-to-digital converters (ADCs), which have the benefit of reducing the power consumption and hardware complexity. One-bit MIMO detection arises in such a…

Information Theory · Computer Science 2023-07-04 Cheng-Yang Yu , Mingjie Shao , Wei-Kun Chen , Ya-Feng Liu , Wing-Kin Ma

Inspection planning is concerned with computing the shortest robot path to inspect a given set of points of interest (POIs) using the robot's sensors. This problem arises in a wide range of applications from manufacturing to medical…

Robotics · Computer Science 2026-05-12 Adir Morgan , Kiril Solovey , Oren Salzman

In many operational applications, it is necessary to routinely find, within a very limited time window, provably good solutions to challenging mixed-integer linear programming (MILP) problems. An example is the Security-Constrained Unit…

Optimization and Control · Mathematics 2022-08-23 Xiaoyi Gu , Santanu S. Dey , Álinson S. Xavier , Feng Qiu

Mixed-Integer Linear Programming (MILP) plays an important role across a range of scientific disciplines and within areas of strategic importance to society. The MILP problems, however, suffer from combinatorial complexity. Because of…

Optimization and Control · Mathematics 2023-01-06 Mikhail A. Bragin , Emily L. Tucker

Mixed-Integer Linear Programming (MILP) is a fundamental and powerful framework for modeling complex optimization problems across diverse domains. Recently, learning-based methods have shown great promise in accelerating MILP solvers by…

Machine Learning · Computer Science 2025-11-05 Tianle Pu , Zijie Geng , Haoyang Liu , Shixuan Liu , Jie Wang , Li Zeng , Chao Chen , Changjun Fan

Mixed integer linear programming (MILP) solvers expose hundreds of parameters that have an outsized impact on performance but are difficult to configure for all but expert users. Existing machine learning (ML) approaches require training on…

Machine Learning · Computer Science 2025-09-25 Connor Lawless , Yingxi Li , Anders Wikum , Madeleine Udell , Ellen Vitercik