Quality and Reliability of Technical Systems

Birolini, Alessandro

doi:10.1007/978-3-642-97983-5

Cited by 61 publications

(23 citation statements)

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“…The formulae obtained are general and different from those obtained in Bazovsky [2] and Birolini [3], as our model itself is more general than classical RBDs.…”

Section: Reliability Time Estimation (Rte)contrasting

confidence: 84%

Degradation Analysis of Probabilistic Parallel Choice Systems

Saxena

Rao

2014

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

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Degradation analysis is used to analyze the useful lifetimes of systems, their failure rates, and various other system parameters like mean time to failure (MTTF), mean time between failures (MTBF), and the system failure rate (SFR). In many systems, certain possible parallel paths of execution that have greater chances of success are preferred over others. Thus we introduce here the concept of probabilistic parallel choice. We use binary and n-ary probabilistic choice operators in describing the selections of parallel paths. These binary and n-ary probabilistic choice operators are considered so as to represent the complete system (described as a series-parallel system) in terms of the probabilities of selection of parallel paths and their relevant parameters. Our approach allows us to derive new and generalized formulae for system parameters like MTTF, MTBF, and SFR. We use a generalized exponential distribution, allowing distinct installation times for individual components, and use this model to derive expressions for such system parameters.Keywords: Reliability block diagram (RBD); reliability time estimation (RTE); mean time to failure (MTTF); mean time between failures (MTBF); mean time to repair (MTTR); system failure rate (SFR); probability density function (pdf); probabilistic choice; nonprobabilistic choice. NotationX i : Component with index i P (X i ) : Probability that component X i works successfully P δ (X i ) : Probability that component X i fails 1450012-1 Int. J. Rel. Qual. Saf. Eng. 2014.21. Downloaded from www.worldscientific.com by RUTGERS UNIVERSITY on 04/05/15. For personal use only. A. Saxena & S. RaoR k : Parallel path k P (R k ) : Probability that parallel path R k works successfully P δ (R k ) : Probability that parallel path R k fails S : A complete system P (S, t ≥ T ) : Probability of success of system S for t ≥ T P δ (S, t ≥ T ) : Probability of failure of system S for t ≥ T ⊕ : Nonprobabilistic choice operator ⊗ : Sequential choice operator ψ : Probabilistic choice operator (binary case) ψ k : kth Probabilistic choice operator (n-ary case) ψ k : Probability with which parallel path R k is chosen t 0i : Installation time of component X i t ∞ : Time at which probability of successful working of a system is almost zero ρ : Threshold value of probability of success of system for system to be reliable in determination of mean time to failure λ i : Failure rate of component X i which determines how fast the probability of success decays with time λ eq : The equivalent system failure rate given components with λ i individual failure rates

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“…The formulae obtained are general and different from those obtained in Bazovsky [2] and Birolini [3], as our model itself is more general than classical RBDs.…”

Section: Reliability Time Estimation (Rte)contrasting

confidence: 84%

Degradation Analysis of Probabilistic Parallel Choice Systems

Saxena

Rao

2014

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

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“…1) Reliability Block Diagram: RBD is a diagrammatic method for revealing how component reliability contributes to the success or failure of a complex system [7]. Reliability Function (RF) of series structure can be computed as R ser (t) = R 1 (t)R 2 (t) for characteristic of independent phenomenon, and it also transforms into the one element.…”

Section: For Non-repairable Systemmentioning

confidence: 99%

“…2) Proposed Structure: According to the Fig.2, the setting of the multiple programs is 3 (M = 3) and discrete controllers is 3 (N = 3) so that it is a such structure in This complex structure can be solve by method of key item method [7] based on the theorem of total probability. …”

Section: For Non-repairable Systemmentioning

confidence: 99%

Configuration of high reliable distributed control system

Zang

Fujimoto

2015

2015 IEEE International Conference on Mechatronics (ICM)

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This paper presents a configuration of high reliable distributed control systems (DCS). We have proposed DCS which utilize multiplexed control programs without adding any redundant controllers. And it also has been designed a extended Triple modular redundancy (TMR) for remote Input/Output in order to instead a function of fault detection. Reliability analysis have been carried out and reliability of the proposed systems have been calculated to compare full duplex structure and basic model. Mean Time To Failure (MTTF) of Analysis result is proved the proposed method achieves higher reliability than conventional full duplex systems, especially in the repairable condition. Furthermore, experimental results are demonstrated and confirmed that fault-tolerance of the proposed system is functional.

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“…Reliability theory is mainly concerned with the determination of the probability that a system will operate adequately for a given period of time in its intended application (see [3]). In this section, the reliability indices like the system availability, system reliability, failure time density function and mean time to failure for the model under consideration are discussed.…”

Section: System Reliability and Availability Analysismentioning

confidence: 99%

Transient analysis of a single server queue with catastrophes, failures and repairs

et al. 2007

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A transient solution is obtained analytically using continued fractions for the system size in an M/M/1 queueing system with catastrophes, server failures and nonzero repair time. The steady state probability of the system size is present. Some key performance measures, namely, throughput, loss probability and response time for the system under consideration are investigated. Further, reliability and availability of the system are analysed. Finally, numerical illustrations are used to discuss the system performance measures.

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Quality and Reliability of Technical Systems

Cited by 61 publications

References 0 publications

Degradation Analysis of Probabilistic Parallel Choice Systems

Degradation Analysis of Probabilistic Parallel Choice Systems

Configuration of high reliable distributed control system

Transient analysis of a single server queue with catastrophes, failures and repairs

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