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Safety is a critical concern for urban flights of autonomous Unmanned Aerial Vehicles. In populated environments, risk should be accounted for to produce an effective and safe path, known as risk-aware path planning. Risk-aware path…

机器人学 · 计算机科学 2024-09-19 Jun Xiang , Junfei Xie , Jun Chen

Column generation is an iterative method used to solve a variety of optimization problems. It decomposes the problem into two parts: a master problem, and one or more pricing problems (PP). The total computing time taken by the method is…

最优化与控制 · 数学 2022-01-10 Mouad Morabit , Guy Desaulniers , Andrea Lodi

Sampling-based planning algorithm is a powerful tool for solving planning problems in high-dimensional state spaces. In this article, we present a novel approach to sampling in the most promising regions, which significantly reduces…

机器人学 · 计算机科学 2023-05-26 Chenming Li , Fei Meng , Han Ma , Jiankun Wang , Max Q. -H. Meng

In this paper, we study the single-source shortest-path (SSSP) problem with positive edge weights, which is a notoriously hard problem in the parallel context. In practice, the $\Delta$-stepping algorithm proposed by Meyer and Sanders has…

数据结构与算法 · 计算机科学 2021-12-16 Xiaojun Dong , Yan Gu , Yihan Sun , Yunming Zhang

The Restricted Shortest Path (RSP) problem, also known as the Delay-Constrained Least-Cost (DCLC) problem, is an NP-hard bicriteria optimization problem on graphs with $n$ vertices and $m$ edges. In a graph where each edge is assigned a…

数据结构与算法 · 计算机科学 2019-11-05 David Holzmüller

The ubiquitous expansion and transformation of the energy supply system involves large-scale power infrastructure construction projects. In the view of investments of more than a million dollars per kilometre, planning authorities aim to…

最优化与控制 · 数学 2021-02-02 Nina Wiedemann , David Adjiashvili

The Stochastic Shortest Path (SSP) problem models probabilistic sequential-decision problems where an agent must pursue a goal while minimizing a cost function. Because of the probabilistic dynamics, it is desired to have a cost function…

人工智能 · 计算机科学 2023-03-02 Willy Arthur Silva Reis , Denis Benevolo Pais , Valdinei Freire , Karina Valdivia Delgado

The multi-path Traveling Salesman Problem with stochastic travel costs arises in hybrid vehicle routing applications designed for Smart City and City Logistics, where multiple paths exist between each pair of locations. Travel times along…

最优化与控制 · 数学 2026-05-15 Xiaochen Chou , Ludovica Di Marco , Enza Messina

Heuristic search solvers like RTDP-Bel and LAO* have proven effective for computing optimal and bounded sub-optimal solutions for Partially Observable Markov Decision Processes (POMDPs), which are typically formulated as belief MDPs. A…

机器人学 · 计算机科学 2025-06-03 Muhammad Suhail Saleem , Rishi Veerapaneni , Maxim Likhachev

Recent systems applying Machine Learning (ML) to solve the Traveling Salesman Problem (TSP) exhibit issues when they try to scale up to real case scenarios with several hundred vertices. The use of Candidate Lists (CLs) has been brought up…

人工智能 · 计算机科学 2021-09-15 Umberto Junior Mele , Luca Maria Gambardella , Roberto Montemanni

Column generation (CG) is a vital method to solve large-scale problems by dynamically generating variables. It has extensive applications in common combinatorial optimization, such as vehicle routing and scheduling problems, where each…

机器学习 · 计算机科学 2023-10-17 Kuan Xu , Li Shen , Lindong Liu

In this paper, we introduce a new heuristics for global optimization in scenarios where extensive evaluations of the cost function are expensive, inaccessible, or even prohibitive. The method, which we call Landscape-Sketch-and-Step (LSS),…

机器学习 · 计算机科学 2023-10-06 Rafael Monteiro , Kartik Sau

Conflict-Based Search (CBS) is a popular multi-agent path finding (MAPF) solver that employs a low-level single agent planner and a high-level constraint tree to resolve conflicts. The vast majority of modern MAPF solvers focus on improving…

人工智能 · 计算机科学 2024-03-26 Rishi Veerapaneni , Tushar Kusnur , Maxim Likhachev

Crew Pairing Optimization (CPO) is critical for an airlines' business viability, given that the crew operating cost is second only to the fuel cost. CPO aims at generating a set of flight sequences (crew pairings) to cover all scheduled…

最优化与控制 · 数学 2021-07-05 Divyam Aggarwal , Dhish Kumar Saxena , Saaju Pualose , Thomas Bäck , Michael Emmerich

The problem of constrained reinforcement learning (CRL) holds significant importance as it provides a framework for addressing critical safety satisfaction concerns in the field of reinforcement learning (RL). However, with the introduction…

机器学习 · 计算机科学 2023-05-24 Chengbin Xuan , Feng Zhang , Faliang Yin , Hak-Keung Lam

In imitation learning for planning, parameters of heuristic functions are optimized against a set of solved problem instances. This work revisits the necessary and sufficient conditions of strictly optimally efficient heuristics for forward…

人工智能 · 计算机科学 2023-10-31 Leah Chrestien , Tomás Pevný , Stefan Edelkamp , Antonín Komenda

We present a trajectory optimization algorithm for the traveling salesman problem (TSP) in graphs of convex sets (GCS). Our framework uses an augmented graph of convex sets to encode the TSP specification and solve it exactly as a shortest…

系统与控制 · 电气工程与系统科学 2026-04-09 Gael Luna , Tyler Summers

In this semi-tutorial paper, we first review the information-theoretic approach to account for the computational costs incurred during the search for optimal actions in a sequential decision-making problem. The traditional (MDP) framework…

人工智能 · 计算机科学 2021-02-23 Daniel T. Larsson , Daniel Braun , Panagiotis Tsiotras

Heuristic algorithms such as simulated annealing, Concorde, and METIS are effective and widely used approaches to find solutions to combinatorial optimization problems. However, they are limited by the high sample complexity required to…

机器学习 · 计算机科学 2019-06-18 Qingpeng Cai , Will Hang , Azalia Mirhoseini , George Tucker , Jingtao Wang , Wei Wei

Motivated by the tactical planning level of demand adaptive public transportation systems, we present the stochastic symmetric traveling salesman problem with generalized latency (STSP-GL), a stochastic extension to the symmetric traveling…

最优化与控制 · 数学 2023-11-17 Benedikt Lienkamp , Mike Hewitt , Maximilian Schiffer