Mathematical modeling and fuzzy availability analysis of stainless steel utensil manufacturing unit in steady state: a case study

Kumar, Pawan; Nagar, Atulya K.

doi:10.1007/s13198-014-0269-7

Cited by 3 publications

(2 citation statements)

References 13 publications

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“…Some other studies focused on repairable systems with fuzzy repair rates. Chhoker and Nagar (2015) and Hu and Su (2016) developed frameworks for modeling, analyzing and predicting the reliability of redundant repairable systems with fuzzy parameters.…”

Section: Literature Reviewmentioning

confidence: 99%

MTBF evaluation for 2-out-of-3 redundant repairable systems with common cause and cascade failures considering fuzzy rates for failures and repair: a case study of a centrifugal water pumping system

2017

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In many cases, redundant systems are beset by both independent and dependent failures. Ignoring dependent variables in MTBF evaluation of redundant systems hastens the occurrence of failure, causing it to take place before the expected time, hence decreasing safety and creating irreversible damages. Common cause failure (CCF) and cascading failure are two varieties of dependent failures, both leading to a considerable decrease in the MTBF of redundant systems. In this paper, the alpha-factor model and the capacity flow model are combined so as to incorporate CCF and cascading failure in the evaluation of MTBF of a 2-out-of-3 repairable redundant system. Then, using a transposed matrix, the MTBF function of the system is determined. Due to the fact that it is difficult to estimate the independent and dependent failure rates, industries are interested in considering uncertain failure rates. Therefore, fuzzy theory is used to incorporate uncertainty into the model presented in this study, and a nonlinear programming model is used to determine system's MTBF. Finally, in order to validate the proposed model, evaluation of MTBF of the redundant system of a centrifugal water pumping system is presented as a practical example.

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Section: Literature Reviewmentioning

confidence: 99%

MTBF evaluation for 2-out-of-3 redundant repairable systems with common cause and cascade failures considering fuzzy rates for failures and repair: a case study of a centrifugal water pumping system

2017

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“…There are many studies on stochastic models with fuzzy theory in recent literatures (Ke et al, 2007;Huang et al, 2006). Only few among those focus on repairable systems with fuzzy parameters using nonlinear programming (NLP) (Ke et al, 2008;Chhoker and Nagar, 2015;Hu and Su, 2016). Different from other studies, our model provides a suitable estimation value from uncertain environments, comparison between using fuzzy theory and conventional method and also comparison between parallel (active redundancy) and series system in fuzzy world when we have standby redundancy.…”

Section: Introductionmentioning

confidence: 99%

One-unit repairable systems with active and standby redundancy and fuzzy parameters

Fard

Ameri

Hejazi

et al. 2017

IJQRM

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Purpose The purpose of this paper is to propose a procedure to construct the membership functions for a one-unit repairable system, which has both active and standby redundancy. The coverage factor is the same for the operating and standby unit failure. Design/methodology/approach The α-cut approach is used to extract a family of conventional crisp intervals from the fuzzy repairable system for the desired system characteristics. This can be determined with a set of non-linear parametric programing using the membership functions. Findings When system characteristics are governed by the membership functions, more information is provided to use by management. On the other hand, fuzzy theory is applied for the redundant system; therefore, the results are more useful for designers and practitioners. Originality/value Different from other studies, the authors’ model provides more accurate estimation compared to uncertain environments based on fuzzy theory. The research would help managers and manufactures to make a better decision in order to have the optimal maintenance strategy based on the desired mean time to failure and availability of the systems.

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Performance analysis of curd (Dahi) producing system of milk plant by using trapezoidal fuzzy numbers with different left and right heights

Kumari

Kadyan

Kumar

2021

Int J Syst Assur Eng Manag

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Mathematical modeling and fuzzy availability analysis of stainless steel utensil manufacturing unit in steady state: a case study

Cited by 3 publications

References 13 publications

MTBF evaluation for 2-out-of-3 redundant repairable systems with common cause and cascade failures considering fuzzy rates for failures and repair: a case study of a centrifugal water pumping system

MTBF evaluation for 2-out-of-3 redundant repairable systems with common cause and cascade failures considering fuzzy rates for failures and repair: a case study of a centrifugal water pumping system

One-unit repairable systems with active and standby redundancy and fuzzy parameters

Performance analysis of curd (Dahi) producing system of milk plant by using trapezoidal fuzzy numbers with different left and right heights

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