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There hardly exists a general solver that is efficient for scheduling problems due to their diversity and complexity. In this study, we develop a two-stage framework, in which reinforcement learning (RL) and traditional operations research…

人工智能 · 计算机科学 2021-03-11 Yongming He , Guohua Wu , Yingwu Chen , Witold Pedrycz

Many real-world scenarios involve solving bi-level optimization problems in which there is an outer discrete optimization problem, and an inner problem involving expensive or black-box computation. This arises in space-time dependent…

The multiple Traveling Salesmen Problem (mTSP) is a general extension of the famous NP-hard Traveling Salesmen Problem (TSP), that there are m (m > 1) salesmen to visit the cities. In this paper, we address the mTSP with both the minsum…

人工智能 · 计算机科学 2022-03-01 Jiongzhi Zheng , Yawei Hong , Wenchang Xu , Wentao Li , Yongfu Chen

Lambert's problem is the orbital boundary-value problem constrained by two points and elapsed time. It is one of the most extensively studied problems in celestial mechanics and astrodynamics, and, as such, it has always attracted the…

数值分析 · 数学 2021-04-13 David de la Torre Sangrà , Elena Fantino

The optimal design of multi-target rendezvous and flyby missions is challenging due to the combination of traditional spacecraft trajectory optimization and high-dimensional combinatorial problems. This often requires large-scale global…

天体物理仪器与方法 · 物理学 2025-01-24 Jack Yarndley , Harry Holt , Roberto Armellin

We consider a multistage framework introduced recently where, given a time horizon t=1,2,...,T, the input is a sequence of instances of a (static) combinatorial optimization problem I_1,I_2,...,I_T, (one for each time step), and the goal is…

数据结构与算法 · 计算机科学 2019-09-24 Evripidis Bampis , Bruno Escoffier , Alexander Kononov

We combine ideas from uni-directional and bi-directional heuristic search, and approximation algorithms for the Traveling Salesman Problem, to develop a novel framework for a Multi-Goal Path Finding (MGPF) problem that provides a…

人工智能 · 计算机科学 2021-03-17 Kenny Chour , Sivakumar Rathinam , Ramamoorthi Ravi

The rapid expansion of mega-constellations in low Earth orbits has posed significant challenges to space traffic management, necessitating periodic inspections of satellites to ensure the sustainability of the space environment when…

系统与控制 · 电气工程与系统科学 2025-07-08 An-Yi Huang , Hong-Xin Shen , Zhao Li , Cong Sun , Chao Sheng , Zheng-Zhong Kuai

This study proposes a new automated strategy for designing and optimizing three-dimensional interplanetary low-thrust (LT) trajectories. The method formulates the design as a hybrid optimal control problem and solves it using a two-step…

最优化与控制 · 数学 2023-09-22 Burhani M. Burhani , Elena Fantino , Roberto Flores , Manuel Sanjurjo-Rivo

This study proposes an analytical Delta-V approximation of short-time transfers based on the linear relative motion and a gradient-based nonlinear programming model of multi-target rendezvous and flyby trajectories. In previous studies, the…

地球与行星天体物理 · 物理学 2024-06-12 An-Yi Huang , Heng-Nian Li , Ya-Zhong Luo

The moving target traveling salesman problem with obstacles (MT-TSP-O) is a generalization of the traveling salesman problem (TSP) where, as its name suggests, the targets are moving. A solution to the MT-TSP-O is a trajectory that visits…

机器人学 · 计算机科学 2024-10-28 Anoop Bhat , Geordan Gutow , Bhaskar Vundurthy , Zhongqiang Ren , Sivakumar Rathinam , Howie Choset

The travelling salesperson problem (TSP) is a classic resource allocation problem used to find an optimal order of doing a set of tasks while minimizing (or maximizing) an associated objective function. It is widely used in robotics for…

机器人学 · 计算机科学 2022-07-19 Ishaan Mehta , Sharareh Taghipour , Sajad Saeedi

The Moving Target Traveling Salesman Problem (MT-TSP) seeks a trajectory that intercepts several moving targets, within a particular time window for each target. When generic nonlinear target trajectories or kinematic constraints on the…

机器人学 · 计算机科学 2026-03-24 Anoop Bhat , Geordan Gutow , Bhaskar Vundurthy , Zhongqiang Ren , Sivakumar Rathinam , Howie Choset

Trajectory optimization of low-thrust perturbed orbit rendezvous is a crucial technology for space missions in low Earth orbits, which is difficult to solve due to its initial value sensitivity, especially when the transfer trajectory has…

天体物理仪器与方法 · 物理学 2023-05-03 An-yi Huang , Heng-nian Li

The travelling thief problem (TTP) is a multi-component optimisation problem involving two interdependent NP-hard components: the travelling salesman problem (TSP) and the knapsack problem (KP). Recent state-of-the-art TTP solvers modify…

人工智能 · 计算机科学 2023-03-01 Majid Namazi , Conrad Sanderson , M. A. Hakim Newton , Abdul Sattar

A novel fast multi-impulse optimization method for long-duration perturbed orbit rendezvous is proposed. First, based on the analytically estimated impulses, the terminal rendezvous deviation with precise dynamics model can be predicted.…

混沌动力学 · 物理学 2021-08-11 An-yi Huang , Ya-zhong Luo , Heng-nian Li

We develop a probabilistic framework for \emph{rendezvous planning}: given sparse, noisy observations of a fast-moving target, plan rendezvous spatiotemporal coordinates for a set of significantly slower seeking agents. The unknown target…

最优化与控制 · 数学 2026-04-03 Thomas A. Scott , Lukas Taus , Yen-Hsi Richard Tsai , Tan Bui-Thanh , Justin G. R. Delva

This paper proposes a two-phase framework with a B\'{e}zier simplex-based interpolation method (TPB) for computationally expensive multi-objective optimization. The first phase in TPB aims to approximate a few Pareto optimal solutions by…

最优化与控制 · 数学 2022-03-30 Ryoji Tanabe , Youhei Akimoto , Ken Kobayashi , Hiroshi Umeki , Shinichi Shirakawa , Naoki Hamada

This paper proposes a hybrid genetic algorithm for solving the Multiple Traveling Salesman Problem (mTSP) to minimize the length of the longest tour. The genetic algorithm utilizes a TSP sequence as the representation of each individual,…

神经与进化计算 · 计算机科学 2023-10-31 Sasan Mahmoudinazlou , Changhyun Kwon

As the number of uncontrollable objects in low earth orbit is rising, the thread of collisions and thus the breakdown of working satellites becomes worth analyzing. Consequently, projects on removing objects from the important orbits are…

最优化与控制 · 数学 2013-07-05 Johannes Michael , Kurt Chudej , Matthias Gerdts , Jürgen Pannek
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