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Applications in many domains require processing moving object trajectories. In this work, we focus on a trajectory similarity search that finds all trajectories within a given distance of a query trajectory over a time interval, which we…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-10-13 Michael Gowanlock , Henri Casanova

The Traveling Thief Problem (TTP) is a multi-component optimization problem that captures the interplay between routing and packing decisions by combining the classical Traveling Salesperson Problem (TSP) and the Knapsack Problem (KP). The…

Data Structures and Algorithms · Computer Science 2026-04-22 Jan Eube , Kelin Luo , Aneta Neumann , Frank Neumann , Heiko Röglin

We consider a coordinated complexity-aware 4D trajectory planning problem in this paper. A case study of multiple aircraft traversing through a sector that contains a network of airways and waypoints is utilized to illustrate the model and…

Optimization and Control · Mathematics 2016-03-03 Xiongwen Qian , Jianfeng Mao , Xudong Diao , Changpeng Yang

This paper introduces a methodology for the development of routing algorithms that takes into consideration opportunistic networking. The proposal focus on the rationale behind the methodology, and highlights its most important stages and…

Networking and Internet Architecture · Computer Science 2020-09-04 Diego Freire , Sergi Robles , Carlos Borrego

Ground robots navigating in complex, dynamic environments must compute collision-free trajectories to avoid obstacles safely and efficiently. Nonconvex optimization is a popular method to compute a trajectory in real-time. However, these…

Robotics · Computer Science 2024-10-07 Oscar de Groot , Laura Ferranti , Dariu M. Gavrila , Javier Alonso-Mora

This paper studies high-speed online planning in dynamic environments. The problem requires finding time-optimal trajectories that conform to system dynamics, meeting computational constraints for real-time adaptation, and accounting for…

Robotics · Computer Science 2025-02-21 Gilhyun Ryou , Lukas Lao Beyer , Sertac Karaman

Continuous approximation (CA) models have been widely adopted in transit network design studies due to their strong analytical tractability and high computational efficiency. However, such models are typically formulated as nonconvex…

Optimization and Control · Mathematics 2026-03-18 Haoyang Mao , Weihua Gu , Wenbo Fan , Zhicheng Jin , Xiaokuan Zhao

Safe trajectory planning in complex environments must balance stringent collision avoidance with real-time efficiency, which is a long-standing challenge in robotics. In this work, we present a diffusion-based trajectory planning framework…

Robotics · Computer Science 2025-11-27 Wule Mao , Zhouheng Li , Yunhao Luo , Yilun Du , Lei Xie

This work focuses on the generation of non-self-intersecting relative trajectories, and their applications to satellite constellation design, slotting architectures, and Space Traffic Management. To that end, this paper introduces two…

Earth and Planetary Astrophysics · Physics 2021-10-18 David Arnas , Richard Linares

This paper presents a hierarchical planning algorithm for racing with multiple opponents. The two-stage approach consists of a high-level behavioral planning step and a low-level optimization step. By combining discrete and continuous…

Robotics · Computer Science 2026-04-29 Georg Jank , Matthias Rowold , Boris Lohmann

We propose an algorithmic framework for efficient anytime motion planning on large dense geometric roadmaps, in domains where collision checks and therefore edge evaluations are computationally expensive. A large dense roadmap (graph) can…

We present a flexible method for computing Bayesian optimal experimental designs (BOEDs) for inverse problems with intractable posteriors. The approach is applicable to a wide range of BOED problems and can accommodate various optimality…

Computation · Statistics 2024-08-20 Karina Koval , Roland Herzog , Robert Scheichl

We present a continuous-time collision detection algorithm for quickly detecting whether certain polynomial trajectories in time intersect with convex obstacles. The algorithm is used in conjunction with an existing multicopter trajectory…

Robotics · Computer Science 2019-07-22 Nathan Bucki , Mark W. Mueller

Among the mitigation measures introduced to cope with the space debris issue there is the de-orbiting of decommissioned satellites. Guidelines for re-entering objects call for a ground casualty risk no higher than 0.0001. To comply with…

Neural and Evolutionary Computing · Computer Science 2019-10-14 Mirko Trisolini , Hugh G. Lewis , Camilla Colombo

Sequential convex programming has been established as an effective framework for solving nonconvex trajectory planning problems. However, its performance is highly sensitive to problem parameters, including trajectory variables, algorithmic…

Optimization and Control · Mathematics 2025-12-09 Ziqi Xu , Lin Cheng , Di Wu , Shengping Gong

The competition focuses on Multiparty Multiobjective Optimization Problems (MPMOPs), where multiple decision makers have conflicting objectives, as seen in applications like UAV path planning. Despite their importance, MPMOPs remain…

Artificial Intelligence · Computer Science 2024-02-06 Wenjian Luo , Peilan Xu , Shengxiang Yang , Yuhui Shi

To find failure events and their likelihoods in flight-critical systems, we investigate the use of an advanced black-box stress testing approach called adaptive stress testing. We analyze a trajectory predictor from a developmental…

Machine Learning · Computer Science 2020-11-06 Robert J. Moss , Ritchie Lee , Nicholas Visser , Joachim Hochwarth , James G. Lopez , Mykel J. Kochenderfer

In this article, we present the development of a two-step optimization framework to deal with the design and selection of aircraft departure routes and the allocation of flights among these routes. The aim of the framework is to minimize…

Computational Engineering, Finance, and Science · Computer Science 2019-08-30 V. Ho-Huu , S. Hartjes , H. G. Visser , R. Curran

We present a novel probabilistic approach for optimal path experimental design. In this approach a discrete path optimization problem is defined on a static navigation mesh, and trajectories are modeled as random variables governed by a…

Optimization and Control · Mathematics 2026-01-19 Ahmed Attia

Trajectory optimization is a widely used technique in robot motion planning for letting the dynamics and constraints on the system shape and synthesize complex behaviors. Several previous works have shown its benefits in high-dimensional…

Robotics · Computer Science 2024-03-19 Ramkumar Natarajan , Shohin Mukherjee , Howie Choset , Maxim Likhachev