Logic Differential Calculus for Reliability Analysis Based on Survival Signature

Rusnak, Patrik; Zaitseva, Elena; Coolen, Frank P. A.; Levashenko, Vitaly

doi:10.1109/tdsc.2022.3159126

Cited by 8 publications

(2 citation statements)

References 42 publications

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“…In such a case, the researcher's task is to find an appropriate control scheme for the components of the simulated computing device or their associated composition by analyzing the corresponding characteristics of the queuing system under certain initial conditions. Among the numerous scientific and applied works on this topic, it is worth noting the works [17][18][19][20][21][22] (systems with D policy), [19,[23][24][25] (systems with N policy), [24][25][26][27][28] (systems with T policy). Despite the sufficient development of the subject area, research in this direction is constantly relevant.…”

Section: Related Workmentioning

confidence: 99%

The Markov Concept of the Energy Efficiency Assessment of the Edge Computing Infrastructure Peripheral Server Functioning over Time

Kovtun,

Altameem,

Al-Maitah

et al. 2023

Electronics

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The article is devoted to the research of the peripheral server energy consumption managing process defined based on the threshold policy by manipulating the values of the characteristic parameters of the arithmetic-logical complex of the latter. The research object is formalized by a Markov queue model with a single-threshold control scheme for the intensity of accepted requests service. A characteristic feature of the life cycle of a peripheral server is the non-stationary mode of operation in terms of energy consumption, due to the need to periodically poll the controlled sensor network and process the received data in real-time. To take into account this circumstance, the intensities of transitions in the heterogeneous birth-and-death Markov process of the created model are interpreted as non-random periodic functions of time. The resulting mathematical apparatus is summarized in the metric that allows us to estimate the target peripheral server’s energy consumption both at a specific moment and for a censored time interval (this distinguishes the obtained result from existing analogs).

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Section: Related Workmentioning

confidence: 99%

The Markov Concept of the Energy Efficiency Assessment of the Edge Computing Infrastructure Peripheral Server Functioning over Time

Kovtun,

Altameem,

Al-Maitah

et al. 2023

Electronics

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“…Several recent papers have addressed the concept of survival signature. For example, Rusnak et al [24] and Coolen et al [25] have made notable contributions in this area. Consider a coherent system whose component lifetimes X 1 , .…”

Section: Ce Of the Past Lifetimementioning

confidence: 99%

Cumulative Entropy of Past Lifetime for Coherent Systems at the System Level

Shrahili,

Kayid

2023

Axioms

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This paper explores the cumulative entropy of the lifetime of an n-component coherent system, given the precondition that all system components have experienced failure at time t. This investigation utilizes the system signature to compute the cumulative entropy of the system’s lifetime, shedding light on a crucial facet of a system’s predictability. In the course of this research, we unearth a series of noteworthy discoveries. These include formulating expressions, defining bounds, and identifying orderings related to this measure. Further, we propose a technique to identify a preferred system on the basis of cumulative Kullback–Leibler discriminating information, which exhibits a strong relation with the parallel system. These findings contribute significantly to our understanding of the predictability of a coherent system’s lifetime, underscoring the importance of this field of study. The outcomes offer potential benefits for a wide range of applications where system predictability is paramount, and where the comparative evaluation of different systems on the basis of discriminating information is needed.

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Reliability Analysis of Data Storage Using Survival Signature and Logic Differential Calculus

Rusnak,

Sedlacek,

Czapp

2023

Studies in Systems, Decision and Control

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Logic Differential Calculus for Reliability Analysis Based on Survival Signature

Cited by 8 publications

References 42 publications

The Markov Concept of the Energy Efficiency Assessment of the Edge Computing Infrastructure Peripheral Server Functioning over Time

The Markov Concept of the Energy Efficiency Assessment of the Edge Computing Infrastructure Peripheral Server Functioning over Time

Cumulative Entropy of Past Lifetime for Coherent Systems at the System Level

Reliability Analysis of Data Storage Using Survival Signature and Logic Differential Calculus

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