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As emerging massive constellations are intended to provide seamless connectivity for remote areas using hundreds of small low Earth orbit (LEO) satellites, new methodologies have great importance to study the performance of these networks.…

Networking and Internet Architecture · Computer Science 2020-10-05 Niloofar Okati , Taneli Riihonen

Satellite constellation missions, consisting of a large number of spacecraft, are increasingly being launched or planned. Such missions require novel control approaches, in particular for what concerns orbital phasing maneuvers. In this…

Systems and Control · Electrical Eng. & Systems 2022-01-26 Tomas Pippia , Valentin Preda , Samir Bennani , Tamas Keviczky

This work focuses on the study of the reconfiguration strategies available for uniformly distributed satellite constellations and slotting architectures. Particularly, this manuscript deals with the cases of reducing, maintaining, and also…

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

In this paper, the routing in massive low earth orbit (LEO) satellite networks is studied. When the satellite-to-satellite communication distance is limited, we choose different relay satellites to minimize the latency in a constellation at…

Networking and Internet Architecture · Computer Science 2022-04-11 Ruibo Wang , Mustafa A. Kishk , Mohamed-Slim Alouini

This paper introduces a new approach of treating platoon systems using mean-variance control formulation. The underlying system is a controlled switching diffusion in which the random switching process is a continuous-time Markov chain.…

Optimization and Control · Mathematics 2014-01-22 Zhixin Yang , G. Yin , Le Yi Wang , Hongwei Zhang

Traditional methods for unsupervised learning of finite mixture models require to evaluate the likelihood of all components of the mixture. This becomes computationally prohibitive when the number of components is large, as it is, for…

Machine Learning · Computer Science 2021-10-12 Milan Papež , Tomáš Pevný , Václav Šmídl

Order-preserving couplings are elegant tools for obtaining robust estimates of the time-dependent and stationary distributions of Markov processes that are too complex to be analyzed exactly. The starting point of this paper is to study…

Probability · Mathematics 2009-06-02 Lasse Leskelä

A number of problems in a variety of fields are characterised by target distributions with a multimodal structure in which the presence of several isolated local maxima dramatically reduces the efficiency of Markov Chain Monte Carlo…

Methodology · Statistics 2009-07-31 Miquel Trias , Alberto Vecchio , John Veitch

Low-earth-orbit (LEO) satellite communication networks have evolved into mega-constellations with hundreds to thousands of satellites inter-connecting with inter-satellite links (ISLs). Network planning, which plans for network resources…

Networking and Internet Architecture · Computer Science 2024-12-31 Sheng Cen , Qiying Pan , Yifei Zhu , Bo Li

We study the optimal control of an arbitrarily large constellation of small satellites operating in low Earth orbit. Simulating the lack of on-board propulsion, we limit our actuation to the use of differential drag maneuvers to make…

Systems and Control · Computer Science 2020-10-20 Emmanuel Sin , Murat Arcak , Andrew Packard

Sparse matrix ordering is a vital optimization technique often employed for solving large-scale sparse matrices. Its goal is to minimize the matrix bandwidth by reorganizing its rows and columns, thus enhancing efficiency. Conventional…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-11-14 Tao Tang , Youfu Jiang , Yingbo Cui , Jianbin Fang , Peng Zhang , Lin Peng , Chun Huang

Considering the close interaction between spare parts logistics and maintenance planning, this paper presents a model for joint optimization of multi-location spare parts supply chain and condition-based maintenance under predictive and…

Optimization and Control · Mathematics 2018-10-17 Morteza Soltani

Global search and optimization of long-duration, low-thrust spacecraft trajectories with the indirect method is challenging due to a complex solution space and the difficulty of generating good initial guesses for the costate variables.…

Earth and Planetary Astrophysics · Physics 2025-10-06 Jannik Graebner , Ryne Beeson

This paper presents a unique approach to the problem of calculating revisit time metrics for different satellite orbits, sensor geometries, and constellation configurations with application to early lifecycle design and optimisation…

Computational Engineering, Finance, and Science · Computer Science 2018-07-06 Nicholas H. Crisp , Sabrina Livadiotti , Peter C. E. Roberts

The prevailing assumption holds that on-orbit servicing (OOS) of mega-constellations is infeasible due to prohibitive fuel consumption incurred by multiple rendezvous maneuvers across vast and dispersed satellite populations. To address…

Classical Physics · Physics 2026-05-13 Li Zhengrui , Feng Guanhua , Wu Xiaokun , Li Wenhao , Yue Yuxian

An efficient Krylov subspace algorithm for computing actions of the $\varphi$ matrix function for large matrices is proposed. This matrix function is widely used in exponential time integration, Markov chains and network analysis and many…

Numerical Analysis · Mathematics 2020-10-20 Mike A. Botchev , Leonid A. Knizhnerman , Eugene E. Tyrtyshnikov

We apply Monte Carlo Markov Chain methods to the stellar parameter estimation problem. This technique is useful when dealing with non-linear models and allows to derive realistic error bars on the inferred parameters. We give the first…

Astrophysics · Physics 2008-03-19 M. Bazot , S. Bourguignon , J. Christensen-Dalsgaard

Large, sparse linear systems are pervasive in modern science and engineering, and Krylov subspace solvers are an established means of solving them. Yet convergence can be slow for ill-conditioned matrices, so practical deployments usually…

This paper analyzes a (1, $\lambda$)-Evolution Strategy, a randomized comparison-based adaptive search algorithm, optimizing a linear function with a linear constraint. The algorithm uses resampling to handle the constraint. Two cases are…

Optimization and Control · Mathematics 2015-10-16 Alexandre Chotard , Anne Auger , Nikolaus Hansen

Satellite constellations equipped with Inter-Satellite Links and onboard packet switching enable real-time Operation and Management across globally distributed satellites, but also broaden the attack surface and introduce unprecedented…

Computational Engineering, Finance, and Science · Computer Science 2026-05-26 Linan Huang , Peilong Liu , Xi Chen , Zhiyuan Lin , Jian Yan , Linling Kuang