Probabilistic Assessment of Two-Unit Parallel System with Correlated Lifetime under Inspection Using Regenerative Point Technique

Singh, V. V.; Poonia, Praveen Kumar

doi:10.30699/ijrrs.2.1.2

Cited by 9 publications

(3 citation statements)

References 17 publications

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“…There has been a lot of work on systems with one main unit and one dissimilar unit added in parallel including Kumar & Sirohi [2015] and Singh & Poonia [2019]. There are some studies conducted on systems with three or more units including El-Damcese and Temraz [2012], Lado and Singh [2019], Singh et al [2020], Gehlot et al [2020] but in these studies all the units taken are identical.…”

Section: Introductionmentioning

confidence: 99%

Stochastic Analysis of a Three-Unit Non-Identical Repairable System with Simultaneous Working of Cold Standby Units

Kadyan

Malik

Gitanjali³

2021

JRSS

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Here, stochastic analysis of a repairable system of three units has been carried out by taking one unit in operation (called main unit) and two identical units (called duplicate units) in cold standby. The switch device is used to convert the standby units into operative mode. A single server is hired to handle repair activities of the units who visits the system instantly whenever needed. The repair done by the server is perfect and thus the repaired unit follows the same lifetime distribution as the original. The constant failure rates are considered for both main and the duplicate units while their repair time distributions are taken as arbitrary. Some important reliability measures including mean sojourn times (MST), transition probabilities (TP), mean time to system failure (MTSF), availability, expected number of repairs for both kinds of units separately, expected number of visits by the server and busy period analysis of the server due to repair are determined using semi-Markov process (SMP) and regenerative point technique (RPT). The arbitrary values of the parameters are considered to examine the behaviour of some significant reliability measures through graphs. The possible application of the system model can be visualized in a power supply system of a house where a set of solar panels are kept in spare for their simultaneously working when main power supply is discontinued.

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Section: Introductionmentioning

confidence: 99%

Stochastic Analysis of a Three-Unit Non-Identical Repairable System with Simultaneous Working of Cold Standby Units

Kadyan

Malik

Gitanjali³

2021

JRSS

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“…Kumar and Sirohi [27] conferred on the reliability evaluation of a system having two units cold standby system for the delay in repairing the partially failed unit was truckled under regenerative point technique. Singh and Poonia [28] analyzed two units in a parallel configuration with correlated lifetime under inspection and regenerative point technique. Singh et al [29] analyzed a system that comprised the two subsystems in a series arrangement with a human failure controller.…”

Section: Introductionmentioning

confidence: 99%

Probabilistic Assessment of Computer-Based Test (CBT) Network System Consists of Four Subsystems in Series Configuration Using Copula Linguistic Approach

Singh

Ismail

Yusuf

et al. 2021

JRSS

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A complex repairable computer-based test (CBT) network system studied in this paper consists of three client computers, a load balancer, two database servers, with the centralized server structured in a series configuration. Subsystem 1 consists of three homogeneous clients arranged in parallel configuration, subsystem 2 comprises a load balancer, subsystem 3 is comprised of two distributed homogeneous database servers in parallel arrangement and subsystem 4 consists of a centralized database server. Through the transition diagram, the first-order differential equations are derived. The model has solved using supplementary variables, with implications of Laplace transforms. Reliability metrics of system effects such as availability, reliability, MTTF, MTTF sensitivity, and the cost function is estimated to see the impact of failure and repair patterns on reliability evaluations. The results of this study indicated that system performance could be improved when the copula repair is employed.

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“…[10] analyzed the cost assessment of a complex repairable system consisting of two subsystems in the series configuration using Gumbel Hougaard family copula. [18] presented the probabilistic assessment of two-unit parallel system with correlated lifetime. [23] analyzed the Cost -benefit analysis of three systems with imperfect coverage and standby switching failures.…”

Section: Introductionmentioning

confidence: 99%

Reliability Enhancement of Computer Network System with Server Replication

Yusuf

Sani

Umar

2020

Int J Reliabl Risk Safe Theory App

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Reliability is a performance factor applied to multi-computer network system consisting of devices such as active parallel or redundant hosts (clients), distributed database servers with replication, anda central server. For reliability evaluation and performance of such a system, this study analyzed a computer network system consisting of hosts (clients) connected to two distributed database servers in replication to each other. The system is configured as a series-parallel system consisting of two subsystems, namely A and B. Subsystem A consists of three clients in active parallel while subsystem B consists od two distributed database servers in replication to each order. Both clients and server failure and repair time are to be exponentially distributed The system is analyzed using first-order differential-difference equations to derive the expressions for the availability, mean time to failure, probability of a busy period of repairman due to partial or complete failure. The results are presented in tables and graphs. Reliability characteristics such as availability, MTTF, profit function as well as sensitivity analysis have been discussed. The computed results are demonstrated by tables and graphs. From the analysis of reliability characteristics, it is evident that availability, profit , and mean time to failure can be enhanced by adding more servers in replication to each other.

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Probabilistic Assessment of Two-Unit Parallel System with Correlated Lifetime under Inspection Using Regenerative Point Technique

Cited by 9 publications

References 17 publications

Stochastic Analysis of a Three-Unit Non-Identical Repairable System with Simultaneous Working of Cold Standby Units

Stochastic Analysis of a Three-Unit Non-Identical Repairable System with Simultaneous Working of Cold Standby Units

Probabilistic Assessment of Computer-Based Test (CBT) Network System Consists of Four Subsystems in Series Configuration Using Copula Linguistic Approach

Reliability Enhancement of Computer Network System with Server Replication

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