System Reliability Analysis Based On Weibull Distribution and Hesitant Fuzzy Set

Kumar, Akshay; Ram, Mangey

doi:10.33889/ijmems.2018.3.4-037

Cited by 17 publications

(9 citation statements)

References 18 publications

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“…Ram and Manglik (2016) analyzed a multistate system by incorporating imperfect fault coverage. Kumar and Ram (2018) discussed the hesitant fuzzy number and averaging operator and fuzzy reliability with the help of Weibull lifetime distribution. analyzed the reliability for consecutive kout-of-n:F system of nonidentical components.…”

Section: Literature Reviewmentioning

confidence: 99%

Reliability and Availability analysis of a cloud computing transition system under multiple failures

Manglik

Rawat

Ram

2020

IJQRM

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PurposeTo analyze the performance of multistate cloud computing transition system through the various reliability measures is the purpose of this paper.Design/methodology/approachIn this article, a mathematical model for a multistate cloud computing transition system with various types of failures has been analyzed by using the Markov process, supplementary variable technique and Laplace transformation.FindingsVarious reliability measures such that reliability, availability, mean time to failure (MTTF), mean time to repair and cost analysis have also been analyzed. This article presents some geographic illustrations for the practical utility of the model.Originality/valueThe authors developed a mathematical model to analyze the reliability of the cloud computing transition system by considering the possible failures.

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Section: Literature Reviewmentioning

confidence: 99%

Reliability and Availability analysis of a cloud computing transition system under multiple failures

Manglik

Rawat

Ram

2020

IJQRM

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“…Meenakshi and Singh (2016) discussed the reliability of non-repairable MSSs with imprecise probabilities and performance rates having interval-valued probabilities with the use of hybrid UGF method. Kumar et al (2018) deal with the hesitant fuzzy number and average operator with the help of Weibull distribution. Here authors shows that how hesitant fuzzy and α - cut is used in the reliability theory.…”

Section: Introductionmentioning

confidence: 99%

Reliability evaluation of repairable weighted system using interval valued universal generating function

Bisht

Singh

Tamta

2020

IJQRM

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PurposeTo find the reliability characteristics of repairable weighted (u, v)- out-of-(x, y) system using the interval valued universal generating function (IUGF).Design/methodology/approachIn this paper (u, v)-out-of-(x, y) system is an extension of the k-out-of-n system. Here, the interval valued universal generating function (UGF) is present and the corresponding operators are defined.FindingsThe present paper proposes a interval valued universal generating function (IUGF) to compute the reliability indices of the considered system. The current study investigates the reliability and sensitivity of the proposed system with respect to system parameters by applying Markov process with the help of the interval valued UGF approach.Originality/valueIn this work, the considered system, i.e. repairable weighted (u, v)-of-the- (x, y) is the extension of k-out-of-n system for the assessment of reliability characteristics using the interval valued UGF.

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“…But, the mentioned techniques come up with crisp solutions which are not expected. Crisp and fuzzy solutions have also been derived for FLP (Gupta and Kumar, 2012;Kumar and Ram, 2018) but no fuzzy solution for the fuzzy transportation problem has been found. As a particular type of LPP, there have been some special types of solution approaches to TP.…”

Section: Introductionmentioning

confidence: 99%

A New Approach for Solving Type-2-Fuzzy Transportation Problem

Maity¹,

Roy²

2019

Int J Math, Eng, Manag Sci

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In this paper, a new approach is introduced to solve transportation problem with type-2-fuzzy variables. In most of the real-life situations, the available data do not happen to be crisp in nature. It gives rise to the fuzzy transportation problem (FTP). This proposed approach concentrates on the problem when the vertical slices of type-2-fuzzy sets (T2FSs) are trapezoidal fuzzy numbers (TFNs). The original problem reduces to three different linear programming problems (LPPs) which are solved using the simplex algorithm. Then the effectiveness of this paper is discussed with numerical example. In conclusion, the significance of the paper and the scope of future study are discussed.

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System Reliability Analysis Based On Weibull Distribution and Hesitant Fuzzy Set

Cited by 17 publications

References 18 publications

Reliability and Availability analysis of a cloud computing transition system under multiple failures

Reliability and Availability analysis of a cloud computing transition system under multiple failures

Reliability evaluation of repairable weighted system using interval valued universal generating function

A New Approach for Solving Type-2-Fuzzy Transportation Problem

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