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We address the persistent monitoring problem in two-dimensional mission spaces where the objective is to control the trajectories of multiple cooperating agents to minimize an uncertainty metric. In a one-dimensional mission space, we have…

Optimization and Control · Mathematics 2014-04-21 Xuchao Lin , Christos G. Cassandras

Modern communication networks are increasingly equipped with in-network computational capabilities and services. Routing in such networks is significantly more complicated than the traditional routing. A legitimate route for a flow not only…

Networking and Internet Architecture · Computer Science 2023-06-07 Lifan Mei , Jinrui Gou , Jingrui Yang , Yujin Cai , Yong Liu

In this paper, the time- and propellant-optimal low-thrust rephasing problems in circular orbit are studied to depict their solution spaces in an atlas. The number of key parameters that settle the rephasing problems is reduced by…

Dynamical Systems · Mathematics 2022-09-16 Di Wu , Fanghua Jiang , Hexi Baoyin

Dynamic low altitude networks offer significant potential for efficient and reliable data transport via unmanned aerial vehicles (UAVs) relays which usually operate with predetermined trajectories. However, it is challenging to optimize the…

Systems and Control · Electrical Eng. & Systems 2025-12-23 Bowen Li , Junting Chen

In this paper, we present an optimization based method for path planning of a mobile robot subject to time bounded temporal constraints, in a dynamic environment. Temporal logic (TL) can address very complex task specification such as…

Systems and Control · Computer Science 2016-04-29 Yuchen Zhou , Dipankar Maity , John S. Baras

This paper proposes a distributed on-orbit spacecraft assembly algorithm, where future spacecraft can assemble modules with different functions on orbit to form a spacecraft structure with specific functions. This form of spacecraft…

Robotics · Computer Science 2024-11-27 Tianle Liu , Zhixiang Wang , Yongwei Zhang , Ziwei Wang , Zihao Liu , Yizhai Zhang , Panfeng Huang

Combinatorial optimization problems are crucial in industry. However, many COPs are NP-hard, causing the search space to grow exponentially with problem size and rendering large-scale instances computationally intractable. Conventional…

Emerging Technologies · Computer Science 2026-02-27 Eiji Kawase , Shuta Kikuchi , Hideaki Tamai , Shu Tanaka

We address the problem of simultaneously estimating arc travel times in a network \emph{and} parameters of route choice models for strategic and tactical network planning purposes. Hitherto, these interdependent tasks have been approached…

Methodology · Statistics 2025-11-13 Sobhan Mohammadpour , Emma Frejinger

Inventory Routing Problem (IRP) is a crucial challenge in supply chain management as it involves optimizing efficient route selection while considering the uncertainty of inventory demand planning. To solve IRPs, usually a two-stage…

Machine Learning · Computer Science 2024-01-02 MD Shafikul Islam , Azmine Toushik Wasi

Small satellites have proven to be viable Earth observation platforms. These satellites operate in regimes of increased trajectory uncertainty where traditional planning approaches can lead to sub-optimal task plans, limiting science…

Systems and Control · Computer Science 2019-05-07 Duncan Eddy , Mykel Kochenderfer

In this paper, we demonstrate a formulation for optimizing coupled submodular maximization problems with provable sub-optimality bounds. In robotics applications, it is quite common that optimization problems are coupled with one another…

Robotics · Computer Science 2021-11-19 Jun Liu , Ryan K. Williams

Unmanned aerial vehicles (UAVs) have received plenty of attention due to their high flexibility and enhanced communication ability, nonetheless, the limited onboard energy restricts UAVs' application on persistent data collection missions…

Signal Processing · Electrical Eng. & Systems 2024-10-10 Rui Wang , Deshi Li , Qingqing Wu , Kaitao Meng , Boning Feng , Lele Cong

In this paper, we present a novel approach to efficiently generate collision-free optimal trajectories for multiple non-holonomic mobile robots in obstacle-rich environments. Our approach first employs a graph-based multi-agent path planner…

Robotics · Computer Science 2021-01-29 Juncheng Li , Maopeng Ran , Lihua Xie

The Vehicle Routing Problem (VRP) is a fundamental challenge in logistics management research, given its substantial influence on transportation efficiency, cost minimization, and service quality. As a combinatorial optimization problem,…

Computational Engineering, Finance, and Science · Computer Science 2025-07-01 Souad Abdoune , Menouar Boulif

The branched transport problem, a popular recent variant of optimal transport, is a non-convex and non-smooth variational problem on Radon measures. The so-called urban planning problem, on the contrary, is a shape optimization problem that…

Optimization and Control · Mathematics 2022-06-15 Julius Lohmann , Bernhard Schmitzer , Benedikt Wirth

Formation flight has a vast potential for aerial robot swarms in various applications. However, existing methods lack the capability to achieve fully autonomous large-scale formation flight in dense environments. To bridge the gap, we…

Robotics · Computer Science 2023-08-08 Lun Quan , Longji Yin , Tingrui Zhang , Mingyang Wang , Ruilin Wang , Sheng Zhong , Zhou Xin , Yanjun Cao , Chao Xu , Fei Gao

Most of the optimal guidance problems can be formulated as nonconvex optimization problems, which can be solved indirectly by relaxation, convexification, or linearization. Although these methods are guaranteed to converge to the global…

Optimization and Control · Mathematics 2024-03-19 Gyubin Park , Jiwoo Choi , Da Hoon Jeong , Jong-Han Kim

The vertical trajectory optimization for the en route descent phase is studied in the presence of both along track and cross winds, which are both modeled as functions of altitude. The flight range covers some portion of a cruise segment…

Optimization and Control · Mathematics 2015-08-11 Sang Gyun Park , John-Paul Clarke

We formulate binary optimization functions for single-vehicle routing, travelling salesperson and collision-free multi-vehicle routing with significant improvements in the number of variables over existing formulations. The provided…

Quantum Physics · Physics 2020-12-10 Daniel Jaroszewski , Fabian Klos , Benedikt Sturm

Multi-rendezvous spacecraft trajectory optimization problems are notoriously difficult to solve. For this reason, the design space is usually pruned by using heuristics and past experience. As an alternative, the current research explores…

Optimization and Control · Mathematics 2020-11-16 Aleksandar Petrov , Ron Noomen