Cold Duplication and Survival Equivalence in the Case of Gamma - Weibull Distributed Composite Systems

Poganj, Tibor; Tudor, Mato; Valčić, Sanjin

doi:10.12700/aph.11.10.2014.10.11

ACTA POLYTECH HUNG

2014

DOI: 10.12700/aph.11.10.2014.10.11

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Cold Duplication and Survival Equivalence in the Case of Gamma - Weibull Distributed Composite Systems

Tibor Poganj¹,

Mato Tudor²,

Sanjin Valčić³

Abstract: The reliability of composite system (series, parallel) is improved by (i) reduction method, and by (ii) cold duplication, considering the system's survival functions. Then these reliability improvement methods are compared mentioning that the hot duplication method was studied recently by Pogány et al. [8].In this companion article to [8], related survival equivalence functions and pointwise survival equivalence factors are derived in all cases when the components lifetime distribution follow the gamma-Weibull… Show more

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Cited by 3 publications

References 16 publications

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The exponentiated exponential Poisson distribution revisited

Pogány

2014

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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.

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The exponentiated exponential Poisson distribution revisited

Pogány

2014

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

Alghamdi

2022

THERM SCI

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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.

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Reliability Equivalence Factors for Coherent System using Survival Signature

Chopra,

2024

Int. j. math. eng. manag. sci.

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This study presents a methodology aimed at enhancing the performance of coherent systems through the application of survival signature analysis, focusing on the calculation of reliability equivalence factors (REFs). In the context of system improvement, the selection of reliability improvement strategies, such as reduction and duplication, depends on various factors like space limitations, costs, and other constraints. The importance of REF lies in their ability to quantify the extent of reliability improvement, providing a clear metric for decision-makers to assess the cost-effectiveness of various enhancement strategies. The analysis focuses on two distinct types of REFs, namely, mean reliability equivalence factors (MREFs) and survival reliability equivalence factors (SREFs), targeted at reliability enhancement via strategies including component failure rate reduction and the implementation of warm standby duplication. Both perfect and imperfect switching scenarios in warm duplication are examined, with survival signature analysis applied to determine the system's survival function and mean time to failure (MTTF). The methodology's effectiveness is illustrated through a case study of a six-unit bridge system, where the components are modeled using exponential and Weibull distributions. REFs are evaluated for sequential upgrades in either individual components or entire component types. The study also conducts a comparative analysis between the reliability and MTTF of the original and improved systems across different improvement techniques.

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Cold Duplication and Survival Equivalence in the Case of Gamma - Weibull Distributed Composite Systems

Cited by 3 publications

References 16 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

Reliability Equivalence Factors for Coherent System using Survival Signature

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