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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…

最优化与控制 · 数学 2023-03-07 Qingyu Han , Linxin Yang , Qian Chen , Xiang Zhou , Dong Zhang , Akang Wang , Ruoyu Sun , Xiaodong Luo

Probing in mixed-integer programming (MIP) is a technique of temporarily fixing variables to discover implications that are useful to branch-and-cut solvers. Such fixing is typically performed one variable at a time -- this paper develops…

最优化与控制 · 数学 2025-11-11 Yongzheng Dai , Chen Chen

Mixed-integer rounding (MIR) cutting planes (cuts) are effective at improving the strength of a linear relaxation for mixed-integer linear programming (MIP) problems. The cuts in this family are derived by aggregating constraints then…

最优化与控制 · 数学 2024-12-16 Oscar Guaje , Arnaud Deza , Aleksandr M. Kazachkov , Elias B. Khalil

In this study, we introduce an innovative deep learning framework that employs a transformer model to address the challenges of mixed-integer programs, specifically focusing on the Capacitated Lot Sizing Problem (CLSP). Our approach, to our…

人工智能 · 计算机科学 2024-05-27 Joshua F. Cooper , Seung Jin Choi , I. Esra Buyuktahtakin

For almost two decades, mixed integer programming (MIP) solvers have used graph-based conflict analysis to learn from local infeasibilities during branch-and-bound search. In this paper, we improve MIP conflict analysis by instead using…

最优化与控制 · 数学 2025-10-21 Gioni Mexi , Felipe Serrano , Timo Berthold , Ambros Gleixner , Jakob Nordström

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…

最优化与控制 · 数学 2026-02-13 Apoorva Narula , Santanu S. Dey , Yao Xie

Constraint Programming (CP) users need significant expertise in order to model their problems appropriately, notably to select propagators and search strategies. This puts the brakes on a broader uptake of CP. In this paper, we introduce…

人工智能 · 计算机科学 2016-11-29 Thierry Petit

Mixed-integer programming (MIP) technology offers a generic way of formulating and solving combinatorial optimization problems. While generally reliable, state-of-the-art MIP solvers base many crucial decisions on hand-crafted heuristics,…

机器学习 · 计算机科学 2022-05-31 Elias B. Khalil , Christopher Morris , Andrea Lodi

Mixed-integer linear programming (MILP) stands as a notable NP-hard problem pivotal to numerous crucial industrial applications. The development of effective algorithms, the tuning of solvers, and the training of machine learning models for…

机器学习 · 计算机科学 2023-10-23 Haoyu Wang , Jialin Liu , Xiaohan Chen , Xinshang Wang , Pan Li , Wotao Yin

The irregular strip-packing problem, also known as nesting or marker making, is defined as the automatic computation of a non-overlapping placement of a set of non-convex polygons onto a rectangular strip of fixed width and unbounded…

最优化与控制 · 数学 2022-06-02 Juan J. Lastra-Díaz , M. Teresa Ortuño

Machine learning components commonly appear in larger decision-making pipelines; however, the model training process typically focuses only on a loss that measures accuracy between predicted values and ground truth values. Decision-focused…

机器学习 · 计算机科学 2019-07-19 Aaron Ferber , Bryan Wilder , Bistra Dilkina , Milind Tambe

Test generation and test data selection are difficult tasks for model based testing. Tests for a program can be meld to a test suite. A lot of research is done to quantify the quality and improve a test suite. Code coverage metrics estimate…

软件工程 · 计算机科学 2012-02-29 Dirk Richter , Christian Berg

It is believed that mechanisms including intermediate values enable composable inductive programming (CIP) to be used to produce software of any size. We present the results of a study that investigated the relationships between program…

编程语言 · 计算机科学 2021-07-06 Edward McDaid , Sarah McDaid

Navigating rigid body objects through crowded environments can be challenging, especially when narrow passages are presented. Existing sampling-based planners and optimization-based methods like mixed integer linear programming (MILP)…

机器人学 · 计算机科学 2024-09-19 Mingxin Yu , Chuchu Fan

Piecewise regression is a versatile approach used in various disciplines to approximate complex functions from limited, potentially noisy data points. In control, piecewise regression is, e.g., used to approximate the optimal control law of…

最优化与控制 · 数学 2024-07-10 Dieter Teichrib , Moritz Schulze Darup

This paper addresses a mixed integer programming (MIP) formulation for the multi-item uncapacitated lot-sizing problem that is inspired from the trailer manufacturer. The proposed MIP model has been utilized to find out the optimum order…

最优化与控制 · 数学 2012-06-01 Maryam Mohammadi , Masine Md. Tap

This paper develops a method to obtain the optimal value for the regularization coefficient in a general mixed-integer problem (MIP). This approach eliminates the cross-validation performed in the existing penalty techniques to obtain a…

最优化与控制 · 数学 2020-08-05 Behrad Soleimani , Behzad Khamidehi , Maryam Sabbaghian

In fields such as autonomous and safety-critical systems, online optimization plays a crucial role in control and decision-making processes, often requiring the integration of continuous and discrete variables. These tasks are frequently…

最优化与控制 · 数学 2025-03-17 Marco Zamponi , Emilio Incerto , Daniele Masti , Mirco Tribastone

In this paper, we explore model-based approach to training robust and interpretable binarized regression models for multiclass classification tasks using Mixed-Integer Programming (MIP). Our MIP model balances the optimization of prediction…

机器学习 · 计算机科学 2022-03-22 Sanjana Tule , Nhi Ha Lan Le , Buser Say

We present a mixed-integer programming (MIP) model for scheduling quantum circuits to minimize execution time. Our approach maximizes parallelism by allowing non-overlapping gates (those acting on distinct qubits) to execute simultaneously.…

量子物理 · 物理学 2025-04-15 Mostafa Atallah , James Ostrowski , Rebekah Herrman