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Modern Mixed Integer Linear Programming (MILP) solvers use the Branch-and-Bound algorithm together with a plethora of auxiliary components that speed up the search. In recent years, there has been an explosive development in the use of…

最优化与控制 · 数学 2024-11-28 Lara Scavuzzo , Karen Aardal , Neil Yorke-Smith

The increase in non-renewable energy consumption and CO2 emissions, especially in the manufacturing sector, is moving radical shifts in energy supply policies and production models. Renewable energy integration and regulated pricing…

With the abundance of available data, many enterprises seek to implement data-driven prescriptive analytics to help them make informed decisions. These prescriptive policies need to satisfy operational constraints, and proactively eliminate…

最优化与控制 · 数学 2022-07-22 Shivaram Subramanian , Wei Sun , Youssef Drissi , Markus Ettl

We consider the problem of finding an n-agent joint-policy for the optimal finite-horizon control of a decentralized Pomdp (Dec-Pomdp). This is a problem of very high complexity (NEXP-hard in n >= 2). In this paper, we propose a new…

人工智能 · 计算机科学 2016-03-28 Raghav Aras , Alain Dutech , François Charpillet

Inventory management, vehicle routing, and delivery scheduling decisions are simultaneously considered in the context of the inventory routing problem. This paper focuses on the continuous-time version of this problem where, unlike its more…

最优化与控制 · 数学 2024-10-25 Akang Wang , Xiandong Li , Jeffrey E. Arbogast , Zachary Wilson , Chrysanthos E. Gounaris

We consider a discrete optimization formulation for learning sparse classifiers, where the outcome depends upon a linear combination of a small subset of features. Recent work has shown that mixed integer programming (MIP) can be used to…

机器学习 · 统计学 2021-06-08 Antoine Dedieu , Hussein Hazimeh , Rahul Mazumder

Mixed-Integer Programming (MIP), particularly Mixed-Integer Linear Programming (MILP) and Mixed-Integer Quadratic Programming (MIQP), has found extensive applications in domains such as portfolio optimization and network flow control, which…

最优化与控制 · 数学 2026-02-03 Zayn Wang

In this work, the online printing shop scheduling problem is considered. This challenging real problem, that appears in the nowadays printing industry, can be seen as a flexible job shop scheduling problem with sequence flexibility in which…

最优化与控制 · 数学 2022-02-22 Willian T. Lunardi , Ernesto G. Birgin , Philippe Laborie , Débora P. Ronconi , Holger Voos

Current state-of-the-art solvers for mixed-integer programming (MIP) problems are designed to perform well on a wide range of problems. However, for many real-world use cases, problem instances come from a narrow distribution. This has…

最优化与控制 · 数学 2022-02-15 Charly Robinson La Rocca , Emma Frejinger , Jean-François Cordeau

We propose an ML-based model that automates and expedites the solution of MIPs by predicting the values of variables. Our approach is motivated by the observation that many problem instances share salient features and solution structures…

最优化与控制 · 数学 2023-02-24 Konstantinos Benidis , Ugo Rosolia , Syama Rangapuram , George Iosifidis , Georgios Paschos

This paper considers the integrated problem of quay crane assignment, quay crane scheduling, yard location assignment, and vehicle dispatching operations at a container terminal. The main objective is to minimize vessel turnover times and…

人工智能 · 计算机科学 2017-12-15 Damla Kizilay , Deniz T. Eliiyi , Pascal Van Hentenryck

This paper presents a new hybrid classical-quantum approach to solve Mixed Integer Linear Programming (MILP) using neutral atom quantum computations. We apply Benders decomposition (BD) to segment MILPs into a master problem (MP) and a…

量子物理 · 物理学 2024-07-17 M. Yassine Naghmouchi , Wesley da Silva Coelho

This paper introduces $\Delta$-MILP, a powerful variant of the mixed-integer linear programming (MILP) optimization framework to solve NASA's Deep Space Network (DSN) scheduling problem. This work is an extension of our original MILP…

最优化与控制 · 数学 2022-04-27 Thomas Claudet , Ryan Alimo , Edwin Goh , Mark Johnston , Ramtin Madani , Brian Wilson

Improving the predictive accuracy of a dynamics model is crucial to obtaining good control performance and safety from Model Predictive Controllers (MPC). One approach involves learning unmodelled (residual) dynamics, in addition to nominal…

系统与控制 · 电气工程与系统科学 2025-11-19 Leroy D'Souza , Yash Vardhan Pant , Sebastian Fischmeister

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

We present an optimization-based approach for trajectory planning and control of a maneuverable melting probe with a high number of binary control variables. The dynamics of the system are modeled by a set of ordinary differential equations…

最优化与控制 · 数学 2018-09-14 Christian Meerpohl , Kathrin Flaßkamp , Christof Büskens

Finding the most probable (MAP) model in SRL frameworks such as Markov logic and Problog can, in principle, be solved by encoding the problem as a `grounded-out' mixed integer program (MIP). However, useful first-order structure disappears…

人工智能 · 计算机科学 2015-07-14 James Cussens

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

Model Predictive Control (MPC) is a powerful technique to control nonlinear, multi-input multi-output systems subject to input and state constraints. It is now a standard tool for trajectory tracking control of automated vehicles. As such…

系统与控制 · 电气工程与系统科学 2025-08-20 Georg Schildbach , Jasper Pflughaupt

We present a new approach for modeling avoidance constraints in 2D environments, in which waypoints are assigned to obstacle-free polyhedral regions. Constraints of this form are often formulated as mixed-integer programming (MIP) problems…

最优化与控制 · 数学 2024-11-20 Raul Garcia , Illya V. Hicks , Joey Huchette
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