Reliability analysis of the double counter-rotating ring with concentrator attachments

Logothetis, D.; Trivedi, Kishor S.

doi:10.1109/90.336320

Cited by 15 publications

(5 citation statements)

References 19 publications

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“…This assumption is consistent with the works by Ibe 3 and Logothetis. 12 Previous studies, such as that in Refs. 23 and 24, have shown that SCI rings with a small number of nodes give lower average message delay and higher throughput than rings with a large number of nodes.…”

Section: Numerical Resultsmentioning

confidence: 96%

K-Processor Reliability of Large-Scale Ring-Based Hierarchical Interconnections

Al-Rousan

Al-Jarrah

Mowafi

2002

Int. J. Rel. Qual. Saf. Eng.

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Recently, connecting thousands of processors via interconnection networks based on multiple (hierarchical) rings has an increased interest. This is due to the large acceptance and success of the Scalable Coherent Interface (SCI) technology. The inherently weak behavior of ring architecture has led interconnection designers to consider various choices to improve the overall network reliability. An interesting choice is to use braided rings instead of the single (basic) rings in the hierarchy. In this paper, we present new formulas for computing K-processor reliability of SCI ring-based hierarchical networks in the context of large-scale multiprocessor systems. The derived formulas are general and applicable to any given systems size consisting of an arbitrary number of levels. The reliability of hierarchical systems based on the basic and braided rings is evaluated and analyzed using the derived formulas. The results show that hierarchical systems based on braided rings significantly improve the reliability of hierarchies constructed of basic rings. The results are general and not limited to systems of SCI rings; the analysis is valid for any type of rings architecture such as token and slotted rings.

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Section: Numerical Resultsmentioning

confidence: 96%

K-Processor Reliability of Large-Scale Ring-Based Hierarchical Interconnections

Al-Rousan

Al-Jarrah

Mowafi

2002

Int. J. Rel. Qual. Saf. Eng.

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“…An alternative to the direct solution of the Markov renewal equation in time domain is the use of transform methods . By applying such method to Equation , a linear system in the Laplace domain is obtained.…”

Section: Non‐markovian Dependability Modelingmentioning

confidence: 99%

“…Renewal theory has been widely applied to the dependability context. Some references for the application of Markov renewal theory in the solution of performance and reliability/availability models can be found in …”

Section: Related Workmentioning

confidence: 99%

“…34 An alternative to the direct solution of the Markov renewal equation in time domain is the use of transform methods. [27][28][29][30][35][36][37][38][39][40] By applying such method to Equation (15), a linear system in the Laplace domain is obtained. After solving the linear system for V $ (s), transform inversion is required.…”

Section: Problem Solving Usingmentioning

confidence: 99%

“…Some references for the application of Markov renewal theory in the solution of performance and reliability/availability models can be found in. 25,27,30,[35][36][37][38]40,[58][59][60] One of the most successful state-space models adopted in reliability and availability evaluations of non-Markovian systems is SMP. A good reference on the topic is.…”

Section: Related Workmentioning

confidence: 99%

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Non‐Markovian State‐Space Models in Dependability Evaluation

Distefano

Trivedi

2012

Quality & Reliability Eng

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The purpose of this paper is to provide an up‐to‐date treatment of advanced analytic, state‐space based techniques to study dependability models with non‐exponential distributions. We first provide an overview of different techniques for the solution of non‐Markovian state‐space based models, including phase‐type expansion and a general framework which allows us to deal with renewal, semi‐Markov, and Markov‐regenerative processes, trying to characterize them on dependability contexts. In the last part of the paper, we illustrate these techniques by means of some examples dealing with common non‐exponential reliability behaviors. Our aim is to provide a reference for practising engineers, researchers, and students in state‐space dependability modeling and evaluation. Copyright © 2012 John Wiley & Sons, Ltd.

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