Semi-Markov Availability Modeling of a Redundant System with Partial and Full Rejuvenation Actions

Koutras, Vasilis P.; Platis, Agapios Ν.

doi:10.1109/depcos-relcomex.2008.13

Cited by 19 publications

(7 citation statements)

References 12 publications

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“…Similar to [15], [11], [6], the system can perform two levels of rejuvenations, i.e., cold rejuvenation and warm rejuvenation. Once the resource's performance f (t) degrades to a threshold r (0 ≤ r < 1), we take a warm or cold rejuvenation to restore its performance.…”

Section: Resource Rejuvenation Patternmentioning

confidence: 99%

“…Koutras et al observed the effects of a two-level software rejuvenation model on availability, downtime and rejuvenation cost indicators [13]. The two-level rejuvenation model was also modeled by a Semi-Markov process and analyzed to find the optimal rejuvenation policy to maximize the system availability [14], [15], [16].…”

Section: Related Workmentioning

confidence: 99%

“…IIT 1) The computation time within the interval [1,10], [15,20], [24,39], and [42, 53] has an increasing trend, which indicates that the cellphone suffers from aging effects. 2) The computation time within the [10,15], [20,24] and [39,42] intervals have a decreasing trend. The log file indicates that the cellphone was rebooted at point 10; and the matrix multiplication application was restarted at point 20 and 39.…”

Section: Introductionmentioning

confidence: 98%

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Use Two-Level Rejuvenation to Combat Software Aging and Maximize Average Resource Performance

Guo

Xia

et al. 2015

2015 IEEE 17th International Conference on High Performance Computing and Communications, 2015 IEEE 7th International Symposium

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Software aging is a common phenomenon which is often manifested through system performance degradation. Rejuvenation is one of the most commonly used approaches to handle issues caused by software aging. To combat resource performance degradation and at the same time maintain maximized average resource performance, we present a twolevel rejuvenation strategy, i.e., interleaving a set of n warm rejuvenations with one cold rejuvenation. Our target is to find the optimal n that maximizes system average performance. We first define a resource model that takes into consideration of performance degradation and two-level rejuvenations. Based on the resource model, we formally analyze the resource supply and present the MAX-PERFORMANCE algorithm to determine the optimal rejuvenation pattern that maximizes the average resource performance. The simulation results show that with a two-level rejuvenation strategy, we can achieve 25.22% higher average resource performance compared with a single level rejuvenation strategy.

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Section: Resource Rejuvenation Patternmentioning

confidence: 99%

Section: Related Workmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 98%

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Use Two-Level Rejuvenation to Combat Software Aging and Maximize Average Resource Performance

Guo

Xia

et al. 2015

2015 IEEE 17th International Conference on High Performance Computing and Communications, 2015 IEEE 7th International Symposium

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“…In, the authors evaluate an analytical model of a software system employing inspection‐based preventive maintenance, through a MRGP with a subordinated semi‐Markov reward process. In, rejuvenation is modeled in a redundant computer system via a SMP in order to counteract software aging. Several different configurations are evaluated in terms of availability by varying the rejuvenation policies.…”

Section: Related Workmentioning

confidence: 99%

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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“…Because of its importance, cold standby systems have been studied utilizing different approaches and methods. Hokstad and Frovig, Montoro‐Cazorla and Pérez‐Ocón, Gupta and Goel, and Koutras and Platis modeled cold standby systems with degradation using both the Markov and Semi‐Markov processes. A replacement policy was determined by Hu and Xie, and Jia and Wu through renewal process and cost function optimization.…”

Section: Introductionmentioning

confidence: 99%

An Accessible Way to Establish Reliability and Expected Time-to-Failure for Cold Standby Redundant Systems Subject to Periodic Inspections

Mendes

Ribeiro

2015

Qual. Reliab. Engng. Int.

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Cold standby systems subject to periodic inspections are widely applied in industry. However, the establishment of system reliability, expected time to failure, and appropriate time interval between inspections in a form accessible to industrial and maintenance engineers are still challenging issues. This paper aims to develop equations that solve this problem based on an analysis of expected exposure time for active and redundant components. A table and a general analytic expression along with graphs were elaborated to allow for the establishment of the appropriate time interval between inspections, given the level of reliability required and the number of standbys available. The main advantage of the results presented in this paper is the ability to conduct the reliability evaluation without the use of complex formulations such as Markov process or Laplace transforms that are usually beyond the skills of the industrial and maintenance staff. Also, a comparison with the exact solution using probability theory is presented, and it is proved that the method developed in this study provides a good approximation for practical applications.

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Semi-Markov Availability Modeling of a Redundant System with Partial and Full Rejuvenation Actions

Cited by 19 publications

References 12 publications

Use Two-Level Rejuvenation to Combat Software Aging and Maximize Average Resource Performance

Use Two-Level Rejuvenation to Combat Software Aging and Maximize Average Resource Performance

Non‐Markovian State‐Space Models in Dependability Evaluation

An Accessible Way to Establish Reliability and Expected Time-to-Failure for Cold Standby Redundant Systems Subject to Periodic Inspections

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