scholarly journals Reliability Model of Fuzzy Consecutive k-out-of-n: F System

2019 ◽  
Vol 2 (1) ◽  
pp. 1-4
Author(s):  
eman elghamry ◽  
medhat ahmed eldamcesse ◽  
mohamed shokry nayel
Keyword(s):  
Integrated Circuits ◽  
Failure Time ◽  
Reliability Function ◽  
Rayleigh Distribution ◽  
System Structure ◽  
Ring Networks ◽  
Fuzzy Reliability ◽  
Telecommunication System ◽  
Fuzzy Parameter ◽  
Relay Stations

Redundancy can be used to increase system reliability. The most popular type of redundancy, k-out-of-n system structure, finds wide applications in both industrial and military systems. Aspecial type of this system is the consecutive k-out-of-n:F system C(k,n:F) which have been proposed for reliability evaluation and integrated circuits design, microwave relay stations in telecommunication system, oil pipelines systems, vacuum systems in accelerators, computer ring networks, and spacecraft relay stations. In this paper, we will discuss a new algorithm for evaluating the fuzzy reliability of any fuzzy linear consecutive k-out-of-n:Fsystem (Lin/C(k,n:F)) with independent, unrepairable, and non-identical components.Later,we will introduce a model of unrepairable system consists of parallel subsystems if each subsystem is Lin/C(k,n:F). Due to uncertainty and insufficient data, failure time of each component follows fuzzy Rayleigh distribution with one fuzzy parameter. This fuzzy parameter is represented by triangular membership function and estimated from statistical data taken from random samples of each component. Furthermore, a numerical example for a fuzzy unrepairable parallel system with three subsystems is given while eachsystem is represented by Lin/C(k,n:F).Also, the failure time of each component follows fuzzy Rayleigh distribution to get analytically and represents the fuzzy reliability function of this fuzzy system graphically.

scholarly journals A new method for computing the reliability of consecutive k-out-of-n:F systems

Open Physics ◽  
2016 ◽  
Vol 14 (1) ◽  
pp. 166-170 ◽  
Author(s):  
Gökhan Gökdere ◽  
Mehmet Gürcan ◽  
Muhammet Burak Kılıç
Keyword(s):  
Integrated Circuits ◽  
Reliability Evaluation ◽  
New Method ◽  
System Failure ◽  
Ring Networks ◽  
Physical Systems ◽  
Oil Pipeline ◽  
R Project ◽  
Vacuum Systems ◽  
Relay Stations

AbstractIn many physical systems, reliability evaluation, such as ones encountered in telecommunications, the design of integrated circuits, microwave relay stations, oil pipeline systems, vacuum systems in accelerators, computer ring networks, and spacecraft relay stations, have had applied consecutivek-out-of-nsystem models. These systems are characterized as logical connections among the components of the systems placed in lines or circles. In literature, a great deal of attention has been paid to the study of the reliability evaluation of consecutivek-out-of-nsystems. In this paper, we propose a new method to compute the reliability of consecutivek-out-of-n:F systems, withnlinearly and circularly arranged components. The proposed method provides a simple way for determining the system failure probability. Also, we write R-Project codes based on our proposed method to compute the reliability of the linear and circular systems which have a great number of components.

scholarly journals Bayesian Estimation Based on Rayleigh Progressive Type II Censored Data with Binomial Removals

2013 ◽  
Vol 2013 ◽  
pp. 1-6 ◽  
Author(s):  
Reza Azimi ◽  
Farhad Yaghmaei
Keyword(s):  
Censored Data ◽  
Failure Time ◽  
Simulation Method ◽  
Reliability Function ◽  
Rayleigh Distribution ◽  
Type Ii ◽  
Monte Carlo Simulation Method ◽  
Bayesian Procedures ◽  
Progressive Type ◽  
Type Ii Censored Data

This study considers the estimation problem for the parameter and reliability function of Rayleigh distribution under progressive type II censoring with random removals, where the number of units removed at each failure time has a binomial distribution. We use the maximum likelihood and Bayesian procedures to obtain the estimators of parameter and reliability function of Rayleigh distribution. We also construct the confidence intervals for the parameter of Rayleigh distribution. Monte Carlo simulation method is used to generate a progressive type II censored data with binomial removals from Rayleigh distribution, and then these data are used to compute the point and interval estimations of the parameter and compare both the methods used with different random schemes.

scholarly journals A new dynamic model to optimize the reliability of the series-parallel systems under warm standby components

2021 ◽  
Vol 0 (0) ◽  
pp. 0
Author(s):  
Amir Mohammad Fakoor Saghih ◽  
Azam Modares
Keyword(s):  
Dynamic Models ◽  
Failure Time ◽  
Recursive Formula ◽  
Reliability Function ◽  
Mode Analysis ◽  
Redundancy Allocation ◽  
Failure Time Distribution ◽  
Before And After ◽  
Common Technique ◽  
Warm Standby

<p style='text-indent:20px;'>Redundancy allocation problem (RAP) is a common technique for increasing the reliability of systems. In this paper, a new model for the RAP is introduced that takes into account the warm standby and mixed strategy, the model dynamics, and the type of the strategy in redundancy allocation problems. A recursive formula is first obtained for the reliability function in the dynamic warm standby and mixed redundancy strategies that leverages the success mode analysis and works for any arbitrary failure-time distribution. Failure rates for warm standby units change before and after their replacement with a damaged unit, and, therefore, the reliability function in warm standby varies with time (i.e., the model is dynamic). Although dynamic models are commonplace in practice, they are more challenging to assess than static models, which have been mainly considered in the literature. An optimization problem is then formulated to select the best redundancy strategy and redundancy levels. Genetic algorithm and particle swarm optimization are leveraged to solve the problem. Finally, the efficiency of the presented method is verified through a numerical example. The experimental results verify that the proposed model for RAP significantly improves the system reliability, which can be of vital importance for system designers.</p>

scholarly journals A Two-Sample Parametric Test for Partly Interva-Censored Data with Nonproportional Hazard

2014 ◽  
Vol 2014 ◽  
pp. 1-10
Author(s):  
Azzah Mohammad Alharpy ◽  
Noor Akma Ibrahim
Keyword(s):  
Failure Time ◽  
Score Test ◽  
Reliability Function ◽  
Failure Time Data ◽  
Ratio Test ◽  
Time Data ◽  
Interval Censored ◽  
Piecewise Exponential Distribution ◽  
Piecewise Exponential ◽  
Censored Observations

In clinical trials and engineering studies that are followed by periodic follow-ups, it is predominantly to have partly interval-censored failure time data. Partly interval-censored failure time data is composed of exact observations and interval-censored observations. This paper discusses two-sample parametric comparison of reliability function in the existence of partly interval-censored failure time data. We have constructed a score test and likelihood ratio test for this kind of failure time data under piecewise exponential distribution by using multiple imputation technique. Simulation study is established to assess the proposed test, which indicates that the presented procedure works well. Finally, an example is given for illustration purposes.

scholarly journals System Reliability Analysis Based On Weibull Distribution and Hesitant Fuzzy Set

2018 ◽  
Vol 3 (4) ◽  
pp. 513-521 ◽  
Author(s):  
Akshay Kumar ◽  
Mangey Ram
Keyword(s):  
System Reliability ◽  
Fuzzy Number ◽  
Reliability Function ◽  
Reliability Theory ◽  
Lifetime Distribution ◽  
Hesitant Fuzzy Set ◽  
Fuzzy Reliability ◽  
Averaging Operator ◽  
Cut Set ◽  
Better Than

This work deals with the hesitant fuzzy number and averaging operator and fuzzy reliability with the help of Weibull lifetime distribution. Fuzzy reliability function and triangular hesitant fuzzy number also computed with α-cut set of the proposed reliability function. After applying the averaging operator of hesitant theory, the results are better than simple fuzzy. Also at last, a numerical example has been shown that how the hesitant fuzzy and α-cut work in case of reliability theory.

Reliability Analysis for Environment Systems Using Dual Hesitant Fuzzy Set

2019 ◽  
pp. 162-173 ◽  
Author(s):  
Akshay Kumar ◽  
Mangey Ram
Keyword(s):  
Fuzzy Sets ◽  
Set Theory ◽  
Fuzzy Set ◽  
Fuzzy Set Theory ◽  
Reliability Function ◽  
Hesitant Fuzzy Set ◽  
Electronic Systems ◽  
Hesitant Fuzzy Sets ◽  
Fuzzy Reliability ◽  
Dual Hesitant Fuzzy Set

In this chapter, we deal with dual hesitant fuzzy set theory and compute the fuzzy reliability with lifetime components of different electronic systems, such as series and parallel systems from a Markov chain technique. In dual hesitant fuzzy sets, we have membership and non-membership degree function whereas hesitant fuzzy sets only have membership function. In this chapter we also discuss the Weibull distribution and reliability function of the proposed systems. A numerical example is also given in the end of proposed algorithm.

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