m-Consecutive-k-out-of-n: F Structures with a Single Change Point

Triantafyllou, Ioannis S.

doi:10.3390/math8122203

Cited by 5 publications

(4 citation statements)

References 32 publications

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“…The MTTF of the series network NET(ξ,m,k,n) can be computed with the aid of the following formula (see, e.g., [14][15][16])…”

Section: (I)mentioning

confidence: 99%

“…The aforementioned cold-standby sparing has been adopted by several authors in order to deal with optimization problems (see, e.g., [9][10][11][12]). Moreover, the dilemma of whether the cold standby redundancy is more effective when it is applied at system level or at component level has attracted the attention of some researchers (see, e.g., [13][14][15][16]). For additional surveys concerning the cost optimization or optimal allocation in reliability structures, the interested reader is referred to [17][18][19].…”

Section: Introductionmentioning

confidence: 99%

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An Archimedean Copulas-Based Approach for m-Consecutive-k-Out-of-n: F Systems with Exchangeable Components

Triantafyllou

2023

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It is evident that several real-life applications, such as telecommunication systems, call for the establishment of consecutive-type networks. Moreover, some of them require more complex connectors than the ones that exist already in the literature. Thereof, in the present work we provide a signature-based study of a reliability network consisting of identical m-consecutive-k-out-of-n: F structures with exchangeable components. The dependency of the components of each system is modeled with the aid of well-known Archimedean copulas. Exact formulae for determining the expected lifetime of the underlying reliability scheme are provided under different Archimedean copulas-based assumptions. Several numerical results are carried out to shed light on the performance of the resulting consecutive-type design. Some thoughts on extending the present study to more complex consecutive-type reliability structures are also discussed.

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“…The MTTF of the series network NET(ξ,m,k,n) can be computed with the aid of the following formula (see, e.g., [14][15][16])…”

Section: (I)mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

An Archimedean Copulas-Based Approach for m-Consecutive-k-Out-of-n: F Systems with Exchangeable Components

Triantafyllou

2023

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“…The methods of the first group are based on the construction of analytical expressions for calculating the corresponding parameters. Their advantage is the ability to obtain results with high accuracy, but their disadvantage is non-universality: for each type of system, it is often necessary to create a new calculation method [23,24], [25,26], [27,28], [29,30], [31,32], [33,34], [35,36], [37,38], [39,40], [41,42], [43,44], [45,46], [47,48], [49,50], [51,52], [53,54]. The methods of the second group are based on conducting statistical experiments with models of system behavior in the failure flow [55,56], [57].…”

Section: Introductionmentioning

confidence: 99%

On the modification of GL-models by adding edges to a cyclic graph

Romankevich,

Morozov,

Romankevich

et al. 2024

HAIT

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This work suggests a method for constructing GL-models of fault-tolerant multiprocessor systems. These models can be used, in particular, to estimate the reliability parameters of the latter by conducting statistical experiments with models of their behavior in the failure flow.Two cases are considered: the non-basicsystem, unlike the basicsystem, is resistant to somefailures of increased multiplicity, or else, on the contrary, the non-basicsystem is vulnerableto certain failures that do not lead to the failure of the basicsystem. In this case, the condition under which the system’s behavior differs from the baselinecorresponds to a Boolean expression, thatdepends on the values of the elements of the system state vector, which characterizes the states of its processors in the failure flow. According to the method proposed in the article, amodel of such system is built by adding an edge or several edges to the so-called MLE-model, atype of GL-model, thatcan be constructed for any basicsystem and isbased on cyclic graphs. The edge function for this edge is formed based on the aforementioned Boolean expression. The models constructed by the proposed method are also based on cyclic graphs, which, in particular, significantly simplifythe procedure for assessing the connectivityof the last ones. A series of experiments have been conducted to confirm the adequacy of the models (obtained by the proposed method) to the behavior of systems in the failure flow. This work presents examplesthat demonstratethe process of constructing GL-models for non-basicfault-tolerant multiprocessor systemsusingthe proposed method for both of the above cases.

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“…Wang et al [12] analyzed the optimization problem of linear C(k, n: F) systems using a genetic algorithm. For other related work on the reliability of C(k, n) systems, refer to [13][14][15].…”

Section: Introductionmentioning

confidence: 99%

Reliability assessment for consecutive-k-out-of-n: F retrial systems under Poisson shocks

et al. 2023

Applied Mathematics and Computation

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m-Consecutive-k-out-of-n: F Structures with a Single Change Point

Cited by 5 publications

References 32 publications

An Archimedean Copulas-Based Approach for m-Consecutive-k-Out-of-n: F Systems with Exchangeable Components

An Archimedean Copulas-Based Approach for m-Consecutive-k-Out-of-n: F Systems with Exchangeable Components

On the modification of GL-models by adding edges to a cyclic graph

Reliability assessment for consecutive-k-out-of-n: F retrial systems under Poisson shocks

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