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We present a decision support framework for optimal flight rescheduling on an airline's day of operations when de-icing becomes necessary due to snow and ice events. Winter weather, especially in areas where such weather is not commonplace,…

最优化与控制 · 数学 2018-02-27 Jakob Kotas , Andrew Bracken

We propose a novel approach to solving input- and state-constrained parametric mixed-integer optimal control problems using Differentiable Predictive Control (DPC). Our approach follows the differentiable programming paradigm by learning an…

系统与控制 · 电气工程与系统科学 2025-06-25 Ján Boldocký , Shahriar Dadras Javan , Martin Gulan , Martin Mönnigmann , Ján Drgoňa

Multiagent planning and coordination problems are common and known to be computationally hard. We show that a wide range of two-agent problems can be formulated as bilinear programs. We present a successive approximation algorithm that…

人工智能 · 计算机科学 2014-01-16 Marek Petrik , Shlomo Zilberstein

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…

最优化与控制 · 数学 2024-02-09 Lara Scavuzzo , Karen Aardal , Andrea Lodi , Neil Yorke-Smith

Mixed-integer linear programs (MILPs) are extensively used to model practical problems such as planning and scheduling. A prominent method for solving MILPs is large neighborhood search (LNS), which iteratively seeks improved solutions…

最优化与控制 · 数学 2024-12-12 Wenbo Liu , Akang Wang , Wenguo Yang , Qingjiang Shi

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

We present a Mixed Integer Linear Program (MILP) approach in order to model the nonlinear problem of minimizing the tire noise. We first take more industrial constraints into account than in a former work of the authors. Then, we associate…

数据结构与算法 · 计算机科学 2018-09-14 Matthias Becker , Nicolas Ginoux , Sebastien Martin , Zsuzsanna Roka

Many problems of interest for cyber-physical network systems can be formulated as Mixed-Integer Linear Programs in which the constraints are distributed among the agents. In this paper we propose a distributed algorithmic framework to solve…

最优化与控制 · 数学 2019-06-05 Andrea Testa , Alessandro Rucco , Giuseppe Notarstefano

Multi-agent planning in stochastic environments can be framed formally as a decentralized Markov decision problem. Many real-life distributed problems that arise in manufacturing, multi-robot coordination and information gathering scenarios…

人工智能 · 计算机科学 2011-11-02 Claudia V. Goldman , Shlomo Zilberstein

Numerous real-world decision-making problems can be formulated and solved using Mixed-Integer Linear Programming (MILP) models. However, the transformation of these problems into MILP models heavily relies on expertise in operations…

最优化与控制 · 数学 2023-11-28 Qingyang Li , Lele Zhang , Vicky Mak-Hau

Reinforcement learning (RL) in partially observable, fully cooperative multi-agent settings (Dec-POMDPs) can in principle be used to address many real-world challenges such as controlling a swarm of rescue robots or a team of quadcopters.…

人工智能 · 计算机科学 2022-02-08 Qizhen Zhang , Chris Lu , Animesh Garg , Jakob Foerster

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

Memory-Bounded Dynamic Programming (MBDP) has proved extremely effective in solving decentralized POMDPs with large horizons. We generalize the algorithm and improve its scalability by reducing the complexity with respect to the number of…

人工智能 · 计算机科学 2012-06-26 Sven Seuken , Shlomo Zilberstein

In this paper we consider infinite horizon discounted dynamic programming problems with finite state and control spaces, partial state observations, and a multiagent structure. We discuss and compare algorithms that simultaneously or…

机器人学 · 计算机科学 2020-11-10 Sushmita Bhattacharya , Siva Kailas , Sahil Badyal , Stephanie Gil , Dimitri Bertsekas

This paper introduces a novel algorithm for Mixed-Integer Nonlinear Programming (MINLP) problems with multilinear interpolations of look-up tables. These problems arise when objective or constraints contain black-box functions only known at…

In this paper, we give an algorithm that finds an epsilon-approximate solution to a mixed integer quadratic programming (MIQP) problem. The algorithm runs in polynomial time if the rank of the quadratic function and the number of integer…

最优化与控制 · 数学 2022-11-30 Alberto Del Pia

Mixed Integer Linear Programs (MILPs) are highly flexible and powerful tools for modeling and solving complex real-world combinatorial optimization problems. Recently, machine learning (ML)-guided approaches have demonstrated significant…

人工智能 · 计算机科学 2025-06-13 Junyang Cai , Taoan Huang , Bistra Dilkina

The size and complexity of modern astronomical surveys has grown to the point where, in many cases, traditional human scheduling of observations are tedious at best and impractical at worst. Automated scheduling algorithms present an…

天体物理仪器与方法 · 物理学 2023-10-31 Luke B. Handley , Erik A. Petigura , Velibor V. Misic

In this paper, we address the problem of time-optimal coordination of mobile robots under kinodynamic constraints along specified paths. We propose a novel approach based on time discretization that leads to a mixed-integer linear…

机器人学 · 计算机科学 2017-04-06 Florent Altché , Xiangjun Qian , Arnaud de La Fortelle

Markov Decision Processes (MDPs) have been used to formulate many decision-making problems in science and engineering. The objective is to synthesize the best decision (action selection) policies to maximize expected rewards (minimize…

最优化与控制 · 数学 2015-07-08 Mahmoud El Chamie , Behcet Acikmese