New Advances in Mathematical Applications for Reliability Analysis

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "D1: Probability and Statistics".

Deadline for manuscript submissions: 10 November 2025 | Viewed by 564

Special Issue Editors


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Aviation Services Research Centre (ASRC), The Hong Kong Polytechnic University (PolyU), Block X, 11 Yuk Choi Rd, Hung Hom, Hong Kong
Interests: reliability modeling; machine learning; RUL prediction; digital twin; AM
Academy for Engineering & Technology, Fudan University, Shanghai 200433, China
Interests: LED packaging; wide-bandgap power electronics packaging and reliability; fault diagnosis and prognostics
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Special Issue Information

Dear Colleagues,

Advancing reliability analysis through mathematical applications lies at the intersection of engineering, mathematics, statistics, and computer science. This convergence drives transformative progress in assessing and enhancing the performance, safety, and longevity of complex systems, including mechanical systems, electronic components, and industrial processes. By employing advanced mathematical models and computational techniques, reliability analysis provides critical insights into product and system behavior, failure mechanisms, and risk mitigation, ultimately improving decision-making processes across diverse industries. Maximizing the potential of these methodologies requires the careful formulation of research problems, the selection of appropriate models, and the application of advanced algorithms.

This Special Issue aims to showcase the latest advancements in mathematical methods and models for reliability assessment across various engineering and scientific domains. It will explore topics such as probabilistic modeling, statistical inference, stochastic models, machine learning and deep learning approaches, and optimization techniques applied to reliability assessment. Contributions may include theoretical developments, computational algorithms, case studies, and interdisciplinary applications. Researchers and practitioners are invited to submit original research articles, review papers, and methodological advancements that enhance the understanding and implementation of reliability analysis in real-world scenarios.

Dr. Mesfin Ibrahim
Dr. Jiajie Fan
Guest Editors

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Keywords

  • reliability analysis
  • probabilistic modeling
  • statistical inference
  • markov models
  • stochastic models and methods
  • machine learning in reliability
  • optimization techniques
  • system failure prediction
  • risk assessment
  • fault detection and diagnostics
  • survival analysis
  • bayesian methods
  • structural reliability
  • reliability modeling
  • failure data analysis
  • maintenance modeling

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Published Papers (1 paper)

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Research

17 pages, 1634 KiB  
Article
Optimizing Service Level Agreement Tier Selection in Online Services Through Legacy Lifecycle Profile and Support Analysis: A Quantitative Approach
by Geza Lucz and Bertalan Forstner
Mathematics 2025, 13(11), 1743; https://doi.org/10.3390/math13111743 - 24 May 2025
Viewed by 396
Abstract
This study introduces a novel approach to optimal Service Level Agreement (SLA) tier selection in online services by incorporating client-side obsolescence factors into effective SLA planning. We analyze a comprehensive dataset of 600 million records collected over four years, focusing on the lifecycle [...] Read more.
This study introduces a novel approach to optimal Service Level Agreement (SLA) tier selection in online services by incorporating client-side obsolescence factors into effective SLA planning. We analyze a comprehensive dataset of 600 million records collected over four years, focusing on the lifecycle patterns of browsers published into the iPhone and Samsung ecosystems. Using Gaussian Process Regression with a Matérn kernel and exponential decay models, we model browser version adoption and decline rates, accounting for data sparsity and noise. Our methodology includes a centroid-based filtering technique and a quadratic decay term to mitigate bot-related anomalies. Results indicate distinct browser delivery refresh cycles for both ecosystems, with iPhone browsers showing peaks at 22 and 42 days, while Samsung devices exhibit peaks at 44 and 70 days. We quantify the support duration required to achieve various SLA tiers as follows: for 99.9% coverage, iPhone and Samsung browsers require 254 and 255 days of support, respectively; for 99.99%, 360 and 556 days; and for 99.999%, 471 and 672 days. These findings enable more accurate and effective SLA calculations, facilitating cost-efficient service planning considering the full service delivery and consumption pipeline. Our approach provides a data-driven framework for balancing aggressive upgrade requirements against generous legacy support, optimizing both security and performance within given cost boundaries. Full article
(This article belongs to the Special Issue New Advances in Mathematical Applications for Reliability Analysis)
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