Reliability analysis of two unit parallel repairable industrial system

Kakkar, Mohit Kumar; Chitkara, Ashok K; Bhatti, Jasdev

doi:10.5267/j.dsl.2015.5.006

Cited by 8 publications

(6 citation statements)

References 13 publications

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“…Expressions for the system availability, probability of partial and complete failure for configuration 2 in ( 17) to (19) as well as profit function are now Mathematical model of mean time to failure for Configuration 2 is derived using the relation…”

Section: Models Formulation For Configurationmentioning

confidence: 99%

“…Garg [18] presented RAM analysis of industrial systems using PSO and fuzzy methodology. Kakkar et al [19] analyzed the reliability of twounit parallel repairable industrial system. Kakkar [19] discussed the reliability of two dissimilar parallel unit repairable system with failure during preventive maintenance.…”

Section: Introductionmentioning

confidence: 99%

“…Kakkar et al [19] analyzed the reliability of twounit parallel repairable industrial system. Kakkar [19] discussed the reliability of two dissimilar parallel unit repairable system with failure during preventive maintenance. Niwas and Kadyan [20] dealt with reliability modeling of a maintained system with warranty and degradation.…”

Section: Introductionmentioning

confidence: 99%

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The Optimal System for Complex Series-Parallel Systems with Cold Standby Units: A Comparative Analysis Approach

Yusuf¹,

Musa²

2021

Practical Applications in Reliability Engineering

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The purpose of this research is to propose three reliability models (configurations) with standby units and to study the optimum configuration between configurations analytically and numerically. The chapter considered the need for 60 MW generators in three different configurations. Configuration 1 has four 15 MW primary units, two 15 MW cold standby units and one 30 MW cold standby unit; Configuration 2 has three 20 MW primary units, three 20 cold standby units; Configuration 3 has two 30 MW primary units and three 30 MW cold standby units. Some reliability features of series–parallel systems under minor and complete failure were studied and contrasted by the current. Failure and repair time of all units is assumed to be exponentially distributed. Explanatory expressions for system characteristics such as system availability, mean time to failure (MTTF), profit function and cost benefits for all configurations have been obtained and validated by performing numerical experiments. Analysis of the effect of different system parameters on the function of profit and availability has been carried out. Analytical comparisons presented in terms of availability, mean time to failure, profit function and cost benefits have shown that configuration 3 is the optimal configuration. This is supported by numerical examples in contrast to some studies where the optimal configuration of the system is not uniform as it depends on some system parameters. Graphs and sensitivity analysis presented reveal the analytical results and accomplish that Configuration 3 is the optimal in terms of design, reliability physiognomies such as availability of the system, mean time to failure, profit and cost benefit. The study is beneficial to engineers, system designers, reliability personnel, maintenance managers, etc.

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Section: Models Formulation For Configurationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

The Optimal System for Complex Series-Parallel Systems with Cold Standby Units: A Comparative Analysis Approach

Yusuf¹,

Musa²

2021

Practical Applications in Reliability Engineering

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“…In Yusuf et al (2018), Markov model of the system is derived through the system state transition table and differential difference equations which are further used to evaluate the system availability and mean time to system failure and profit. Kakkar et al (2015) consider reliability of two unit parallel industrial system. Lado et al ( 2018) focused on developing a model of a complex repairable system having two subsystems A and B which is connected in a series configuration.…”

Section: Introductionmentioning

confidence: 99%

Copula Approach to Reliability Modelling and Performance Estimation of a Serial Fog-to-Fog Collaboration using Software Defined Network

Yusuf

Musa

Ismail³

2022

Preprint

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Because of its logically centralized design, Software-defined Networking (SDN) is vulnerable to a variety of adversarial attacks. These attacks have the possibility of degrading the coordinated network's efficiency or, in the most severe scenario, bring it down. As a result, SDN efficiency must be assessed and estimated to ascertain its performance through reliability, mean time to failure (MTTF), cost, MTTF sensitivity and availability.In this paper, a system with four subsystems, (subsystem-1, subsystem-2, subsystem-3 and subsystem-4) is studied. All the four subsystems are connected in a series configuration. Subsystem- 1 has only one unit, subsystem-2 has three units connected in parallel working under 1-out-of-3: G; policy, subsystem-3 has two units connected in series, and subsystem-4 has two units connected in parallel working under 1-out-of-2: G; policy. The system is assumed to work in good operating conditions with different failure rates and repair rates. Laplace transforms and Supplementary variable techniques were used to study the system. Availability, reliability, mean time to failure (MTTF), sensitivity, and cost analysis has been evaluated for particular values of the failure and repair rates. Tables and figures were used to demonstrate the evaluated results.

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“…Kakkar et al [26] investigated a parallel framework consisting of two dissimilar units under the presumption that a framework's unit may also fail during the preventive maintenance. Kakkar et al [27] also studied this system under the assumption that active unit cannot fail after post-repair inspection and replacement. Considering the concepts of preventive maintenance, priority and maximum repair time, Kumar et al [28] developed a stochastic model for a two-unit cold standby system.…”

Section: Introductionmentioning

confidence: 99%

Reliability analysis of a warm standby repairable system with two cases of imperfect switching mechanism

Sadeghi

Roghanian

2017

Scientia Iranica

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Abstract. This paper studies a warm standby repairable system including two dissimilar units: one repairman and imperfect switching mechanism. Times to failure and times to repair of active and standby units are assumed to be exponentially distributed. Two cases of unreliable switching mechanism are considered. In case one, the failed active unit will be replaced by the available warm standby unit with coverage probability c. However, in case two, the switching mechanism is repairable, and its failure time and repair time are also exponentially distributed. Using Markov process and Laplace transforms, the explicit expressions of the mean time to failure, MTTF, and the steady-state availability of the two systems are derived analytically. Finally, by solving a numerical example, the two systems are compared based on various reliability and availability characteristics. Moreover, sensitivity analyses of the reliability and availability indexes are accomplished with respect to the model parameters.

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Reliability analysis of two unit parallel repairable industrial system

Cited by 8 publications

References 13 publications

The Optimal System for Complex Series-Parallel Systems with Cold Standby Units: A Comparative Analysis Approach

The Optimal System for Complex Series-Parallel Systems with Cold Standby Units: A Comparative Analysis Approach

Copula Approach to Reliability Modelling and Performance Estimation of a Serial Fog-to-Fog Collaboration using Software Defined Network

Reliability analysis of a warm standby repairable system with two cases of imperfect switching mechanism

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