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Reliability allocation problem in a series-parallel system

RELIABILITY ENGINEERING & system SAFETY 2005年第1期90卷 55-61页

作者： Yalaoui, A Chu, CB Châtelet, E Univ Technol Troyes ISTIT Inst Informat Sci & Technol Troyes F-10010 Troyes France

In order to improve system reliability, designers may introduce in a system different technologies in parallel. When each technology is composed of components in series, the configuration belongs to the series-parallel systems. This type of system has not been studied as much as the parallel-series architecture. There exist no methods dedicated to the reliability allocation in series-parallel systems with different technologies. We propose in this paper theoretical and practical-results for the allocation problem in a series-parallel system. Two resolution approaches are developed. Firstly, a one stage problem is studied and the results, are exploited for the multi-stages problem. A theoretical condition for obtaining the optimal allocation is developed. Since this condition is too restrictive, we secondly propose an alternative approach based on an approximated function and the results of the one-stage study. This second approach is applied to numerical examples. (C) 2004 Elsevier Ltd. All rights reserved.

关键词： reliability allocation dynamic programming optimization series-parallel system

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Reliability equivalence factors for a series-parallel system of components with exponentiated Weibull lifetimes

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IMA JOURNAL OF MANAGEMENT MATHEMATICS 2017年第3期28卷 339-358页

作者： Alghamdi, Safar M. Percy, David F. Univ Salford Salford Business Sch Salford M5 4WT Lancs England Taif Univ Fac Sci Dept Math & Stat Al Huwaya Saudi Arabia

We study reliability equivalence factors of a system of independent and identical components with exponentiated Weibull lifetimes. The system has n subsystems connected in parallel and subsystem i has m(i) components connected in series, i=1, ..., n. We consider improving the reliability of the system by (a) a reduction method and (b) several duplication methods: (i) hot duplication;(ii) cold duplication with perfect switching;(iii) cold duplication with imperfect switching. We compute two types of reliability equivalence factors: survival equivalence factors and mean equivalence factors. Although our methods adapt to allow for general lifetime models, we use the exponentiatedWeibull distribution because it is flexible and enables comparisons with other reliability equivalence studies. The example we present demonstrates the potential for applying these methods to address specific questions that arise when attempting to improve the reliability of simple systems or simple configurations of possibly complex subsystems in many diverse applications.

关键词： series-parallel system exponentiated Weibull distribution reliability equivalence factor reduction method duplication method

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Analysis of series-parallel system's sensitivity in context of components failures

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RAIRO-OPERATIONS RESEARCH 2023年第4期57卷 2131-2149页

作者： Shivani, Mangey Ram, Mangey Goyal, Nupur Kumar, Akshay Graph Era Deemed Be Univ Dept Math Dehra Dun India Graph Era Deemed Be Univ Dept Math Comp Sci & Engn Dehra Dun India Graph Era Hill Univ Dept Math Dehra Dun India

This research examines the reliability characteristics of a broad series-parallel system. Complex system, having elements in series and parallel configuration is considered here to compute the reliability. Due to the failure of component, the system can either breakdown or can work with reduced frequency. To analyze the effect of component failure, sensitivity of the system with respect to reliability parameters is analyzed. In this study, generally distributed and exponentially distributed repair rates are taken into consideration from failed state to the working state of the system. The mathematical model of the designed structure is developed using Markov process and supplementary variable technique. The comparative study of the system availability and its sensitivity with respect to general distribution and general as well as exponential distribution has been examined. The Gumbel-Hougaard family of copula is used to analyze the effect of both the distributions together. For a better explanation of this work, a numerical example has been provided and shown the results graphically.

关键词： series-parallel system sensitivity analysis Markov process supplementary variable technique

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A novel approach for analyzing the reliability of series-parallel system using credibility theory and different types of intuitionistic fuzzy numbers

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JOURNAL OF THE BRAZILIAN SOCIETY OF MECHANICAL SCIENCES AND ENGINEERING 2016年第3期38卷 1021-1035页

作者： Garg, Harish Thapar Univ Patiala Sch Math & Comp Applicat Patiala 147004 Punjab India

The main objective of this paper is to present an alternative method for computing the membership function of the system under intuitionistic fuzzy set environment. Conventionally, it is not always easy to obtain the system reliability for components with different individual failure probability density function due to necessary but complicated combination and integration of various probability density functions. Also, in the literature, it is assumed that failure rates of all the components of a system follow the same type of fuzzy set which is rarely occurring in the practical situations. Thus, this paper addresses the fuzzy system reliability analysis to construct the membership and non-membership functions by considering the different types of intuitionistic fuzzy failure rates. Functions of intuitionistic fuzzy numbers are calculated using credibility theory. The effectiveness of the proposed approach is illustrated with analyze of the fuzzy reliability of series, parallel and series-parallel systems using different types of intuitionistic fuzzy failure rates. The computed results from the analysis have a less range of uncertainty as the comparability of existing results.

关键词： Intuitionistic fuzzy numbers Fuzzy reliability Uncertainty series-parallel system Credibility theory

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Selective Maintenance Policy for a series-parallel system Considering Maintenance Priority of Components

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IEEE ACCESS 2020年 8卷 23221-23231页

作者： Zhou, Hongming Gao, Shun Qi, Faqun Luo, Xiaoxuan Qian, Qiusuo Wenzhou Univ Sch Mech Engn Wenzhou 325000 Peoples R China

Many systems are required to execute a series of missions with a finite break between any two adjacent missions. In order to improve the reliability of the system completing the next mission successfully, it is necessary to perform maintenance actions on the components considering limited maintenance resources. A novel idea to solve the problem of selective maintenance for a series-parallel system is proposed in this paper. This problem consists in finding the best choice of maintenance actions on a multi-component system by maximizing the system reliability under limited resources. With the increased number of components in the system, the possible combinations of selective maintenance increase exponentially, which raises the difficulty of the problem. For better solution of the problem, from the perspective of maintenance benefit, we develop a selective maintenance policy under maintenance priority of components. Finally, numerical example of a series-parallel system is given to illustrate the proposed method and verify the correctness and accuracy of the method.

关键词： Selective maintenance series-parallel system limited resources reliability maintenance priority

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The number of failed components in series-parallel system and its application to optimal design

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COMPUTERS & INDUSTRIAL ENGINEERING 2020年 150卷 106879-106879页

作者： Eryilmaz, Serkan Ozkurt, Fatma Yerlikaya Erkan, T. Erman Atilim Univ Dept Ind Engn Ankara Turkey

The number of components that are failed at the time of system failure is a useful quantity since it gives an idea of how many spares should be available to replace all failed components upon the system failure. In this paper, the number of failed components is considered at subsystem and system levels for the series-parallel system that consists of K subsystems. In particular, the joint behavior of the number of failed components in each subsystem is studied when each subsystem has identical components and different subsystems have different types of components. The results are then used to find the optimal number of components in each subsystem by minimizing an expected cost per unit of time upon the system failure.

关键词： Lifetime distribution Optimal design Reliability series-parallel system

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Optimal allocation of interchangeable components in a series-parallel system

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IEEE TRANSACTIONS ON RELIABILITY 1998年第3期47卷 255-260页

作者： Prasad, VR Raghavachari, M Texas A&M Univ Dept Ind Engn College Stn TX 77843 USA Rensselaer Polytech Inst Dept Decis Sci & Engn Syst Troy NY 12180 USA

This paper: extends the work of El-Neweihi, Proschan, Sethuraman (1986) to maximize the reliability of a series-parallel system through optimal allocation of interchangeable components;provides a practical procedure for the reliability optimization problem which is shown to be NP complete. Based on an observation that the reliability of series-parallel system increases with the homogeneity among the cutset hazards, an approximate linear programming model is developed in which the objective is to minimize the mean deviation of the cut-set hazards. An algorithm is provided to improve further the resulting allocation. The numerical investigation on this heuristic approach and its application to a large problem have yielded encouraging results.

关键词： series-parallel system component allocation majorization linear programming

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On the number of failed components in a series-parallel system upon system failure when the lifetimes are DNID discrete random variables

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METRIKA 2024年第2期87卷 183-200页

作者： Jasinski, Krzysztof Nicolaus Copernicus Univ Fac Math & Comp Sci Chopina 12-18 PL-87100 Torun Poland

In this paper, we study properties of a series-parallel system. The component lifetimes may be dependent and non-identically distributed (DNID) discrete random variables. We consider the number of failed components upon system failure. We derive the probability mass function and the expected value of this quantity. In addition, we find the conditional probabilities corresponding to this variate given some partial information about the system failure. We also provide a numerical example to demonstrate the theoretical results.

关键词： Reliability theory series-parallel system Discrete lifetime distribution Order statistics Disjoint modules

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Reliability and cost optimization of series-parallel system with metaheuristic algorithm

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INTERNATIONAL JOURNAL OF system ASSURANCE ENGINEERING AND MANAGEMENT 2024年第4期15卷 1456-1466页

作者： Choudhary, Shivani Ram, Mangey Goyal, Nupur Saini, Seema Graphic Era Deemed Univ Dept Math Dehra Dun India Graphic Era Deemed Univ Dept Math Comp Sci & Engn Dehra Dun India

This study looks into the numerous reliability aspects of a series-parallel system. The designed system is made up of the three subsystems A, B, and C that interconnected in a series-parallel manner. Subsystem B has two units, whereas subsystems A and C have a single unit. Here, the system reliability measures such as reliability, availability, and mean time to failure using Laplace transformation and Markov's process are evaluated. This study deals with minimize cost while system having the maximum reliability as constraining from one of the metaheuristic algorithms i.e., Particle Swarm Optimization (PSO). Lastly, a numerical example and graphical representation has been shown that the proposed methods are effective and efficient for solving reliability measures and cost problems.

关键词： series-parallel system Reliability Optimization PSO Markov process

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HEURISTIC APPROACH FOR HETEROGENEOUS REDUNDANCY OPTIMIZATION IN MULTI-STATE series-parallel system

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INTERNATIONAL JOURNAL OF RELIABILITY QUALITY & SAFETY ENGINEERING 2007年第4期14卷 327-359页

作者： Gupta, Rashika Agarwal, Manju Univ Delhi Dept Operat Res Delhi 110007 India

The paper presents a heuristic for series-parallel system, exhibiting multi-state behavior, with the objective to minimize the cost in order to provide a desired level of reliability. system reliability is defined as the ability to satisfy consumers demand and is presented as a piecewise cumulative load curve. The components are binary and chosen from the list of products available in the market, and are being characterized by their feeding capacity, reliability and cost. The solution approach makes use of heterogeneous collection of components to provide redundancy in a subsystem. The algorithm has been applied to power systems from the literature for various levels of reliability requirement. The heuristic offers a straightforward analysis and efficiency over genetic algorithm (GA) existing in the literature. Keeping in view the computational efficiency and the observed solution quality the proposed heuristic is appealing. As such, the heuristic developed is attractive and can be easily and efficiently applied to numerous real life systems.

关键词： Multi-state series-parallel system heterogeneous redundancy optimization heuristic approach

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