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Transportation infrastructures, particularly those supporting intermodal freight, are vulnerable to natural disasters and man-made disasters that could lead to severe service disruptions. These disruptions can drastically degrade the…

最优化与控制 · 数学 2024-02-06 Majbah Uddin , Nathan Huynh

In this paper, we consider coordinated control of feeder vehicles for first and last mode transportation. The model is macroscopic with volumes of demands and supplies along with flows of vehicles. We propose a one-shot problem for…

系统与控制 · 电气工程与系统科学 2021-05-11 Subhajit Goswami , Pavankumar Tallapragada

Optimal Transport is a foundational mathematical theory that connects optimization, partial differential equations, and probability. It offers a powerful framework for comparing probability distributions and has recently become an important…

机器学习 · 统计学 2025-05-13 Gabriel Peyré

We develop an algorithmic theory of convex optimization over discrete sets. Using a combination of algebraic and geometric tools we are able to provide polynomial time algorithms for solving broad classes of convex combinatorial…

最优化与控制 · 数学 2009-01-24 Shmuel Onn

An essential consideration in urban transit facility planning is service efficiency and accessibility. Previous research has shown that reducing the number of facilities along a route may increase efficiency but decrease accessibility.…

最优化与控制 · 数学 2022-10-25 Einar Gabbassov

Collision-tolerant trajectory planning is the consideration that collisions, if they are planned appropriately, enable more effective path planning for robots capable of handling them. A mixed integer programming (MIP) optimization…

机器人学 · 计算机科学 2016-11-24 Mark L. Mote , Juan-Pablo Afman , Eric Feron

This paper addresses the problem of managing rotational load shedding schedules for a power distribution network with multiple load zones. An integer optimization problem is formulated to find the optimal number and duration of planned…

最优化与控制 · 数学 2018-10-23 Atif Maqsood , Yu Zhang , Keith Corzine

The optimization of expensive-to-evaluate black-box functions over combinatorial structures is an ubiquitous task in machine learning, engineering and the natural sciences. The combinatorial explosion of the search space and costly…

机器学习 · 统计学 2018-10-11 Ricardo Baptista , Matthias Poloczek

Research efforts of the past fifty years have led to a development of linear integer programming as a mature discipline of mathematical optimization. Such a level of maturity has not been reached when one considers nonlinear systems subject…

最优化与控制 · 数学 2017-01-03 Raymond Hemmecke , Matthias Köppe , Jon Lee , Robert Weismantel

We present an end-to-end framework for generating solutions to combinatorial optimization problems with unknown components using transformer-based sequence-to-sequence neural networks. Our framework learns directly from past solutions and…

最优化与控制 · 数学 2026-02-06 Macarena Navarro , Willem-Jan van Hoeve , Karan Singh

In recent advances in solving the problem of transmission network expansion planning, the use of robust optimization techniques has been put forward, as an alternative to stochastic mathematical programming methods, to make the problem…

计算工程、金融与科学 · 计算机科学 2016-09-28 Roberto Minguez , Raquel Garcia-Bertrand

This paper presents an optimization-based receding horizon trajectory planning algorithm for dynamical systems operating in unstructured and cluttered environments. The proposed approach is a two-step procedure that uses a motion planning…

最优化与控制 · 数学 2019-12-12 Kristoffer Bergman , Oskar Ljungqvist , Torkel Glad , Daniel Axehill

Previously, transport networks are usually treated as homogeneous networks, that is, every node has the same function, simultaneously providing and requiring resources. However, some real networks, such as power grid and supply chain…

数据分析、统计与概率 · 物理学 2010-06-08 Yu-Han Chen , Bing-Hong Wang , Li-Chao Zhao , Changsong Zhou , Tao Zhou

In recent years, predictive computational modeling has become a cornerstone for the study of fundamental electronic, optical, and thermal properties in complex forms of condensed matter, including Dirac and topological materials. The…

We investigate the problem of efficiently computing optimal transport (OT) distances, which is equivalent to the node-capacitated minimum cost maximum flow problem in a bipartite graph. We compare runtimes in computing OT distances on data…

数据结构与算法 · 计算机科学 2020-07-07 Yihe Dong , Yu Gao , Richard Peng , Ilya Razenshteyn , Saurabh Sawlani

By leveraging information technologies, organizations now have the ability to design their communication networks and crowdsourcing platforms to pursue various performance goals, but existing research on network design does not account for…

社会与信息网络 · 计算机科学 2013-08-15 Benjamin Lubin , Jesse Shore , Vatche Ishakian

Inspired by the matching of supply to demand in logistical problems, the optimal transport (or Monge--Kantorovich) problem involves the matching of probability distributions defined over a geometric domain such as a surface or manifold. In…

最优化与控制 · 数学 2018-05-02 Justin Solomon

We consider a real-world cargo assembly planning problem arising in a coal supply chain. The cargoes are built on the stockyard at a port terminal from coal delivered by trains. Then the cargoes are loaded onto vessels. Only a limited…

最优化与控制 · 数学 2015-04-03 G. Belov , N. Boland , M. W. P. Savelsbergh , P. J. Stuckey

Because of the long planning periods and their long life cycle, railway infrastructure has to be outlined long ahead. At the present, the infrastructure is designed while only little about the intended operation is known. Hence, the…

计算复杂性 · 计算机科学 2023-08-02 Nadine Friesen , Tim Sander , Karl Nachtigall , Nils Nießen

Autonomous microgrid planning is a Mixed-Integer Non Convex decision problem that requires to consider investments in both distribution and generation capacity and represents significant computation challenges. We proposed in a previous…

最优化与控制 · 数学 2017-03-21 Benoît Martin , François Glineur , Emmanuel De Jaeger