Hot duplication versus survivor equivalence in Gamma-Weibull distribution

Poganj, Tibor; Tomas, Vinko; Tudor, Mato

doi:10.12785/jsap/020101

Cited by 8 publications

(11 citation statements)

References 9 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…D. Finally, the argumentation by Ristić and Nadarajah [1,Introduction] and their real data fitting comparation shows that EEP(θ) is an excellent candidate for lifetime distribution setting in reliability problem solving studies. Hence, immediately arises the question of the reliability equivalence analysis [9,10] of composite series and parallel systems having independent identically distributed units possessing EEP(θ) lifetime distribution. This could be realized by the so-called reduction method developed by Råde [11,12]; alternatively Sarhan [13] introduces the reliability equivalence factor by which the failure rates of some of the system's components should be reduced in order to reach equality of the reliability of another better system.…”

Section: Bmentioning

confidence: 99%

The exponentiated exponential Poisson distribution revisited

Pogány

2014

Statistics

View full text Add to dashboard Cite

The main aim of this article is to characterize and investigate the three parameter exponentiated exponential Poisson probability distribution EEP(α, β, λ) by giving explicit closed form expressions for its characteristic function φ ξ (t) and moment generating function M ξ (t), and finally, to show that the existing series and integral form expressions for positive integer order moments Eξ ν , ν ∈ N are in fact valid for all ν > 1 − α, α > 0.

show abstract

Section: Bmentioning

confidence: 99%

The exponentiated exponential Poisson distribution revisited

Pogány

2014

Statistics

View full text Add to dashboard Cite

show abstract

“…The majority of research on reliability equivalency factors assume systems with identical, distributed units and have certain structures [3][4][5][6][7][8][9][10]. Pogany et al [11,12] introduced the survivor equivalence to get more general and substantially simpler approach.…”

Section: Introductionmentioning

confidence: 99%

A novel and unique approach for determining the survivor equivalence factors for complex systems

Alghamdi

2022

Therm sci

View full text Add to dashboard Cite

In this paper, we provide a novel method to determine the survivor equivalence factors for coherent systems, whatever the unit?s lifetime distribution and the struc?ture of the system. In order to determine the survivor equivalence factors for com?plex systems with independent units, we employ the idea of a survival signature and the Reliability Theory R package. Survival functions and mean times to failure are computed using the Reliability Theory package for systems were improved us?ing: reduction technique and duplication techniques, including: hot duplication, cold duplication with reliable switch, and cold duplication with unreliable switch. Survival survivor equivalence factors and mean survivor equivalence factors are taken into consideration as measures for comparing system improvements. For the new survivor equivalence factors method to be understood, numerical example for complex system is provided.

show abstract

“…Reliability equivalence factors for some systems with mixture Weibull failure rates were introduced by Mustafa (2009). Poǵany et al (2013) improved the reliability of composite system by using reduction method and hot duplication method considering the systems survivor function. Related survivor equivalence functions were derived in all cases when the components lifetime distribution follows the gamma-Weibull distribution.…”

Section: Introductionmentioning

confidence: 99%

Improvement of the Reliability of a Series-Parallel System Subject to Modified Weibull Distribution with Fuzzy Parameters

Temraz¹

2017

Journal of Mathematics and Statistics

View full text Add to dashboard Cite

This paper introduce a series-parallel system consisted of independent and non-identical components with lifetimes follow the modified Weibull distribution. Reduction method is introduced to improve system reliability. Other methods of hot and cold standby duplication are established to improve system reliability. A procedure for computing the reliability of the original system and the improved systems is presented when the parameters of the modified Weibull distribution become fuzzy. Numerical study is introduced to show the results and compare between different improvement methods.

show abstract

Hot duplication versus survivor equivalence in Gamma-Weibull distribution

Cited by 8 publications

References 9 publications

The exponentiated exponential Poisson distribution revisited

The exponentiated exponential Poisson distribution revisited

A novel and unique approach for determining the survivor equivalence factors for complex systems

Improvement of the Reliability of a Series-Parallel System Subject to Modified Weibull Distribution with Fuzzy Parameters

Contact Info

Product

Resources

About