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We present a new mixed-integer programming (MIP) approach for offline multiple change-point detection by casting the problem as a globally optimal piecewise linear (PWL) fitting problem. Our main contribution is a family of strengthened MIP…

Optimization and Control · Mathematics 2026-02-13 Apoorva Narula , Santanu S. Dey , Yao Xie

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

Mixed integer linear programming (MILP) is a powerful representation often used to formulate decision-making problems under uncertainty. However, it lacks a natural mechanism to reason about objects, classes of objects, and relations.…

Logic in Computer Science · Computer Science 2012-05-14 Geoffrey Gordon , Sue Ann Hong , Miroslav Dudik

This article presents the first mixed-integer linear programming (MILP)-based iterative algorithm to solve factorable mixed-integer nonlinear programs (MINLPs) with bounded, differentiable periodic functions to global optimality with an…

Optimization and Control · Mathematics 2025-10-01 Christopher Montez , Sujeevraja Sanjeevi , Kaarthik Sundar

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

This paper is a follow-up to a previous work where we defined and generated the set of all possible compromises of multilevel multiobjective linear programming problems (ML-MOLPP). In this paper, we introduce a new algorithm to solve…

Optimization and Control · Mathematics 2023-10-10 Mustapha Kaci , Sonia Radjef

Mixed-Integer Linear Programs (MIPs) are powerful and flexible tools for modeling a wide range of real-world combinatorial optimization problems. Predict-and-Search methods operate by using a predictive model to estimate promising variable…

Artificial Intelligence · Computer Science 2026-04-21 Junyang Cai , El Mehdi Er Raqabi , Pascal Van Hentenryck , Bistra Dilkina

Mixed Integer Linear Programming (MILP) is a fundamental tool for modeling combinatorial optimization problems. Recently, a growing body of research has used machine learning to accelerate MILP solving. Despite the increasing popularity of…

Machine Learning · Computer Science 2024-10-29 Weimin Huang , Taoan Huang , Aaron M Ferber , Bistra Dilkina

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

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

Recent growing complexity in space missions has led to an active research field of space logistics and mission design. This research field leverages the key ideas and methods used to handle complex terrestrial logistics to tackle space…

Optimization and Control · Mathematics 2025-08-27 Koki Ho , Yuri Shimane , Masafumi Isaji

Mixed integer linear programming (MILP) is a powerful tool for planning and control problems because of its modeling capability and the availability of good solvers. However, for large models, MILP methods suffer computationally. In this…

Robotics · Computer Science 2007-05-23 Matthew Earl , Raffaello D'Andrea

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

This paper surveys the trend of leveraging machine learning to solve mixed integer programming (MIP) problems. Theoretically, MIP is an NP-hard problem, and most of the combinatorial optimization (CO) problems can be formulated as the MIP.…

Artificial Intelligence · Computer Science 2022-03-08 Jiayi Zhang , Chang Liu , Junchi Yan , Xijun Li , Hui-Ling Zhen , Mingxuan Yuan

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

In this work, we address a task allocation problem for human multi-robot settings. Given a set of tasks to perform, we formulate a general Mixed-Integer Linear Programming (MILP) problem aiming at minimizing the overall execution time while…

Robotics · Computer Science 2021-09-20 Martina Lippi , Alessandro Marino

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

A standard tool for modelling real-world optimisation problems is mixed-integer programming (MIP). However, for many of these problems, information about the relationships between variables is either incomplete or highly complex, making it…

Optimization and Control · Mathematics 2024-05-24 Mark Turner , Antonia Chmiela , Thorsten Koch , Michael Winkler

Discrete black-box optimization problems are challenging for model-based optimization (MBO) algorithms, such as Bayesian optimization, due to the size of the search space and the need to satisfy combinatorial constraints. In particular,…

Optimization and Control · Mathematics 2022-06-15 Theodore Papalexopoulos , Christian Tjandraatmadja , Ross Anderson , Juan Pablo Vielma , David Belanger

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