Article
Mathematics
Ioannis S. Triantafyllou
Summary: In this paper, the authors investigate the characteristics of combined m-consecutive-k-out-of-n: F and k(c)-out-of-n: F reliability systems with cold standby redundancy. The effects of adding cold standby redundancy at both the system level and the component level are studied. Exact formulae for crucial characteristics of the enhanced structure are provided, and extensive numerical investigation is conducted to evaluate the performance of the systems. The optimal design parameters are determined based on the results.
Article
Mathematics, Applied
Anna Dembinska, Nikolay I. Nikolov, Eugenia Stoimenova
Summary: This study examines the reliability properties of a k-out-of-n system with a single cold standby unit, operating in discrete time. Three different mean residual life functions are considered to describe aging behavior, leading to monotonicity results related to reliability characteristics. A method to approximate quantities requiring sums of infinite series with a specified error is provided for accurate calculation.
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
(2021)
Article
Computer Science, Interdisciplinary Applications
Abdullah Alkaff, Mochamad Nur Qomarudin, Elly Purwantini, Stefanus Eko Wiratno
Summary: This study presents a general standby system model applicable to various types of standby structures, and uses matrix algebra to derive reliability indicators, which are useful for determining optimal component ordering.
COMPUTERS & INDUSTRIAL ENGINEERING
(2021)
Article
Statistics & Probability
Achintya Roy, Nitin Gupta
Summary: In this article, the reliability properties of a k-out-of-n system with two cold standby components were focused on, including the lifetime, reliability function, mean residual life functions, and stochastic ordering results. The theoretical results address a problem proposed by Eryilmaz and Wang, and numerical results were presented to illustrate the importance of the analysis.
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS
(2021)
Article
Engineering, Multidisciplinary
Senyang Bai, Xiang Jia, Zhijun Cheng, Bo Guo, Qian Zhao
Summary: This article introduces an operation optimization model for a satellite gyroscope standby system, considering the periodic switching strategy and degradation process. By analyzing the degradation process of the units and using optimization algorithms, the reliability and MTTF of the system are obtained, and the optimal periodic switching interval is determined.
QUALITY AND RELIABILITY ENGINEERING INTERNATIONAL
(2023)
Article
Engineering, Multidisciplinary
Ebru Karadayia, Funda Iscioglub
Summary: This paper presents a new MRL assessment approach for a multi-state standby system with a binary cold standby unit. The MRL results are examined for different degradation rates and time points using an HCTMP model. The study finds that when the system is in a perfect state, the MRL decreases with an increase in all failure rates. However, when the system is in a partial state, the MRL is not affected by an increase in failure rates related to the perfect state. The paper also analyzes the cost evaluation of the system and provides numerical examples and graphical representations to support the results.
EKSPLOATACJA I NIEZAWODNOSC-MAINTENANCE AND RELIABILITY
(2023)
Article
Engineering, Industrial
Heping Jia, Rui Peng, Li Yang, Tianyi Wu, Dunnan Liu, Yanbin Li
Summary: A novel reliability model for demand-based warm standby systems with capacity storage is formulated in this study, exploring the chronological characteristics of warm standby components and analyzing the effects on system reliability. A multi-valued decision diagram is developed to evaluate system reliability considering successful activation probabilities of warm standby components.
RELIABILITY ENGINEERING & SYSTEM SAFETY
(2022)
Article
Engineering, Industrial
Gregory Levitin, Liudong Xing, Yuanshun Dai
Summary: This paper advances the state of the art in reliability analysis and optimization of warm standby systems by considering the practical storage component. It proposes a numerical algorithm to evaluate the reliability of a 1-out-of-n warm standby system with product storage and solves the optimal element activation sequence problem to maximize mission success probability.
RELIABILITY ENGINEERING & SYSTEM SAFETY
(2022)
Article
Engineering, Mechanical
Andac Batur Colak, Tabassum Naz Sindhu, Showkat Ahmad Lone, Anum Shafiq, Tahani A. Abushal
Summary: Using the generalized Rayleigh distribution and the inverse power law, this paper proposes a new reliability model and investigates the effect of key parameters on reliability measurements. A multi-layer artificial neural network model is developed to analyze the reliability parameters using datasets obtained in four different scenarios. The results show a direct relationship between the reliability parameters and an increase in Mean Time Between Failures value for each scenario. Additionally, the developed artificial neural network demonstrates high accuracy and is a powerful tool for reliability analysis.
TRIBOLOGY INTERNATIONAL
(2023)
Article
Mathematics, Applied
Z. C. Liu, L. M. Hu, S. J. Liu, Y. Y. Wang
Summary: The reliability of a warm standby series-parallel system without adequate samples is studied based on the uncertainty theory. Different switch models are developed and their reliability functions and mean time to failure are analyzed. A numerical example is implemented to demonstrate the application and efficiency of the proposed models.
IRANIAN JOURNAL OF FUZZY SYSTEMS
(2021)
Article
Mathematics, Applied
Abdulaziz S. Alghamdi, Muhammad Ahsan-ul-Haq, Ayesha Babar, Hassan M. Aljohani, Ahmed Z. Afify
Summary: In this article, a new two-parameter discrete power-Ailamujia distribution is derived and its distributional properties and reliability measures are explored. The performance of the parameter estimation method is evaluated through a simulation study, and the flexibility of the distribution is demonstrated.
Article
Computer Science, Interdisciplinary Applications
Senyang Bai, Xiang Jia, Zhijun Cheng, Bo Guo, Qian Zhao, Xiaonan Zhang
Summary: This paper studies the operation optimization model of warm standby systems under multiple active switching. By introducing virtual age theory and genetic algorithm, the reliability and mean time-to-failure of the system are analyzed, and a numerical example is provided for verification and sensitivity analysis.
COMPUTERS & INDUSTRIAL ENGINEERING
(2022)
Article
Computer Science, Artificial Intelligence
Tao Wang, Jinyan Cai, Yafeng Meng, Sai Zhu, Meng Lv, Zexi Li
Summary: A reliability evaluation method for warm standby embryonic cellular array is proposed based on k-out-of-n warm standby system reliability model and non-homogeneous continuous time Markov model. Experimental results show that this method can effectively evaluate reliability and improve accuracy. The effects of parameter changes on reliability are researched, and improving fault detection coverage and self-repair success rate can effectively enhance reliability.
JOURNAL OF AMBIENT INTELLIGENCE AND HUMANIZED COMPUTING
(2021)
Article
Engineering, Industrial
Chen Lin, Hui Xiao, Yisha Xiang, Rui Peng
Summary: This research focuses on the reliability modeling and analysis of phased-mission systems with a common bus and warm standby elements. It proposes a recursive algorithm and a reliability evaluation algorithm based on the universal generating function to determine the system's performance and average instantaneous availability. The study also explores the optimal system design problem to maximize the average instantaneous availability.
RELIABILITY ENGINEERING & SYSTEM SAFETY
(2023)
Article
Statistics & Probability
Chen Li, Xiaohu Li
Summary: This note examines a k-out-of-n system with component lifetimes linked by Archimedean copula and independent of the lifetime of a cold standby redundancy. The survival function and residual life function of the redundant system are derived. The impact of redundancy and system structure on system reliability is analyzed through the development of the stochastic order on system lifetime. The research findings are instructive to reliability engineers, as they relate well to real-world situations.
STATISTICS & PROBABILITY LETTERS
(2023)