Reliability modeling framework of satellite constellation based on three-parameter interval grey number Lz transformation

Abstract The performance of in-orbit communication satellites generally degrades over time due to depletion mechanisms, rendering them multistate systems with varying output performance levels. This paper applies grey system theory to the reliability assessment of multistate systems, specifically ad...

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Main Authors: Ruirui Shao, Weiqing You, Yuanyuan Nie
Format: Article
Language:English
Published: Nature Portfolio 2025-07-01
Series:Scientific Reports
Online Access:https://doi.org/10.1038/s41598-025-07789-7
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author Ruirui Shao
Weiqing You
Yuanyuan Nie
author_facet Ruirui Shao
Weiqing You
Yuanyuan Nie
author_sort Ruirui Shao
collection DOAJ
description Abstract The performance of in-orbit communication satellites generally degrades over time due to depletion mechanisms, rendering them multistate systems with varying output performance levels. This paper applies grey system theory to the reliability assessment of multistate systems, specifically addressing the performance degradation and data scarcity characteristics inherent in communication satellites. A grey multi-state system model is developed to capture these dynamics. Considering the satellite’s structural characteristics, the reliability solution algorithm incorporates the potential for performance levels exceeding required thresholds. This integration is achieved by combining the grey universal generation function with the grey Markov process, using the three-parameter interval grey number as an intermediary function. Through the Lz transformation based on three-parameter interval grey numbers, the proposed dynamic reliability assessment model for multi-state communication satellites effectively mitigates challenges associated with high-dimensional state spaces in satellite systems. The developed model provides robust methodological support for reliability assessment of complex grey multistate systems.
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institution Kabale University
issn 2045-2322
language English
publishDate 2025-07-01
publisher Nature Portfolio
record_format Article
series Scientific Reports
spelling doaj-art-e3b9b39364d3438dbe8668b9260329fe2025-08-20T03:45:32ZengNature PortfolioScientific Reports2045-23222025-07-0115111510.1038/s41598-025-07789-7Reliability modeling framework of satellite constellation based on three-parameter interval grey number Lz transformationRuirui Shao0Weiqing You1Yuanyuan Nie2School of Information Technology, Jiangsu Open UniversitySchool of Cyber Science and Technology, University of Science and Technology of ChinaChina Astronautics Standards InstituteAbstract The performance of in-orbit communication satellites generally degrades over time due to depletion mechanisms, rendering them multistate systems with varying output performance levels. This paper applies grey system theory to the reliability assessment of multistate systems, specifically addressing the performance degradation and data scarcity characteristics inherent in communication satellites. A grey multi-state system model is developed to capture these dynamics. Considering the satellite’s structural characteristics, the reliability solution algorithm incorporates the potential for performance levels exceeding required thresholds. This integration is achieved by combining the grey universal generation function with the grey Markov process, using the three-parameter interval grey number as an intermediary function. Through the Lz transformation based on three-parameter interval grey numbers, the proposed dynamic reliability assessment model for multi-state communication satellites effectively mitigates challenges associated with high-dimensional state spaces in satellite systems. The developed model provides robust methodological support for reliability assessment of complex grey multistate systems.https://doi.org/10.1038/s41598-025-07789-7
spellingShingle Ruirui Shao
Weiqing You
Yuanyuan Nie
Reliability modeling framework of satellite constellation based on three-parameter interval grey number Lz transformation
Scientific Reports
title Reliability modeling framework of satellite constellation based on three-parameter interval grey number Lz transformation
title_full Reliability modeling framework of satellite constellation based on three-parameter interval grey number Lz transformation
title_fullStr Reliability modeling framework of satellite constellation based on three-parameter interval grey number Lz transformation
title_full_unstemmed Reliability modeling framework of satellite constellation based on three-parameter interval grey number Lz transformation
title_short Reliability modeling framework of satellite constellation based on three-parameter interval grey number Lz transformation
title_sort reliability modeling framework of satellite constellation based on three parameter interval grey number lz transformation
url https://doi.org/10.1038/s41598-025-07789-7
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