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This paper presents a novel approach to the joint optimization of job scheduling and data allocation in grid computing environments. We formulate this joint optimization problem as a mixed integer quadratically constrained program. To…

Governments across the world are planning to increase the share of renewables in their energy systems. The siting of new wind and solar power plants requires close coordination with grid planning, and hence co-optimization of investment in…

Optimization and Control · Mathematics 2020-09-25 Fabian Neumann , Tom Brown

This study introduces a mixed-integer linear programming (MILP) model, effectively co-optimizing patrolling, damage assessment, fault isolation, repair, and load re-energization processes. The model is designed to solve a vital operational…

Systems and Control · Electrical Eng. & Systems 2024-01-12 Ali Jalilian , Babak Taheri , Daniel K. Molzahn

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

Covering problems are well-studied in the domain of Operations Research, and, more specifically, in Location Science. When the location space is a network, the most frequent assumption is to consider the candidate facility locations, the…

Optimization and Control · Mathematics 2023-01-18 Mercedes Pelegrín , Liding Xu

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

The problem of computing an exact experimental design that is optimal for the least-squares estimation of the parameters of a regression model is considered. We show that this problem can be solved via mixed-integer linear programming…

Computation · Statistics 2024-06-18 Radoslav Harman , Samuel Rosa

A group of satellites, with either homogeneous or heterogeneous orbital characteristics and/or hardware specifications, can undertake a reconfiguration process due to variations in operations pertaining to Earth observation missions. This…

Optimization and Control · Mathematics 2024-09-06 Hang Woon Lee , Koki Ho

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

Planning in hybrid systems with both discrete and continuous control variables is important for dealing with real-world applications such as extra-planetary exploration and multi-vehicle transportation systems. Meanwhile, generating…

Robotics · Computer Science 2021-02-23 Jingkai Chen , Brian Williams , Chuchu Fan

Lagrangian Relaxation (LR) is a powerful technique for solving large-scale Mixed Integer Linear Programming (MILP), particularly those with decomposable structures, such as vehicle routing or unit commitment problems. By relaxing the…

Machine Learning · Statistics 2026-05-27 Tung Quoc Le , Anh Tuan Nguyen , Viet Anh Nguyen

Mixed Integer Linear Programs (MILPs) are essential tools for solving planning and scheduling problems across critical industries such as construction, manufacturing, and logistics. However, their widespread adoption is limited by long…

Machine Learning · Computer Science 2025-06-10 Xiaoke Wang , Batuhan Altundas , Zhaoxin Li , Aaron Zhao , Matthew Gombolay

This letter explores intelligent scheduling of sensor-to-controller communication in networked control systems, particularly when data transmission incurs a cost. While the optimal controller in a standard linear quadratic Gaussian (LQG)…

Systems and Control · Electrical Eng. & Systems 2025-12-02 Zahra Hashemi , Dipankar Maity

In this paper, we investigate the constraint typology of mixed-integer linear programming MILP formulations. MILP is a commonly used mathematical programming technique for modelling and solving real-life scheduling, routing, planning,…

Artificial Intelligence · Computer Science 2021-03-02 Vicky Mak-Hau , John Yearwood , William Moran

Mixed-integer optimization is at the core of many online decision-making systems that demand frequent updates of decisions in real time. However, due to their combinatorial nature, mixed-integer linear programs (MILPs) can be difficult to…

Optimization and Control · Mathematics 2026-04-21 Shivi Dixit , Rishabh Gupta , Qi Zhang

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

In this paper we solve mixed-integer linear programs (MILPs) via distributed asynchronous saddle point computation. This work is motivated by the MILPs being able to model problems in multi-agent autonomy, such as task assignment problems…

Optimization and Control · Mathematics 2024-10-16 Luke Fina , Christopher Petersen , Matthew Hale

Mixed Integer Linear Programs (MILPs) are often used in the path planning of both ground and aerial vehicles. Such a formulation of the path planning problem requires a linear objective function and constraints, limiting the fidelity of the…

Optimization and Control · Mathematics 2022-11-21 Drew Scott , Satyanarayana G. Manyam , David W. Casbeer , Manish Kumar , Isaac E. Weintraub , Michael J. Rothenberger

Mixed-integer linear programming (MILP) is widely employed for modeling combinatorial optimization problems. In practice, similar MILP instances with only coefficient variations are routinely solved, and machine learning (ML) algorithms are…

Optimization and Control · Mathematics 2023-03-07 Qingyu Han , Linxin Yang , Qian Chen , Xiang Zhou , Dong Zhang , Akang Wang , Ruoyu Sun , Xiaodong Luo

Mixed-integer linear programming (MILP) is at the core of many advanced algorithms for solving fundamental problems in combinatorial optimization. The complexity of solving MILPs directly correlates with their support size, which is the…

Data Structures and Algorithms · Computer Science 2023-05-16 Sebastian Berndt , Hauke Brinkop , Klaus Jansen , Matthias Mnich , Tobias Stamm
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