Study of Reliability with Mixed Standby Components

El-Damcese, M. A.; Helmy, A. N.

doi:10.3923/ajaps.2012.357.370

Cited by 3 publications

(2 citation statements)

References 5 publications

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“…Imperfect switching plays an important role in the redundant systems and makes the engineering systems more reality. El-Damcese and Helmy (2012) proposed the reliability characteristics of two different series system configurations with mixed standby including cold and warm standby components. The failure rates of the primary and warm standby components were assumed to follow the Weibull distribution and the repair time distribution of each server was assumed to be exponentially distributed.…”

Section: Introductionmentioning

confidence: 99%

Analysis and genetic algorithm optimization of a series system with K-out-of-(n + m): G mixed standby subsystems subject to imperfect switching and elapsed repair time

Temraz

2021

JQME

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PurposeIn this paper, a new general system consisted of l subsystems connected in series is introduced. Each subsystem connected in K-out-of-(n + m): G mixed standby configuration.Design/methodology/approachThe lifetime of the system's units is assumed to be exponentially distributed and there is elapsed repair time with general distribution. The switch in each subsystem is assumed to be imperfect with the failure process follows an exponential distribution. A genetic algorithm is applied to the system to obtain the optimal solution of the system and solve the redundancy allocation problem.FindingsAnalysis of availability, reliability, mean time to failure and steady-state availability of the system is introduced. The measures of the system are discussed in special two cases when the elapsed repair time follows gamma and exponential distribution. An optimization problem with bi-objective functions is introduced to minimize the cost of the system and maximize the reliability function. A numeric application is introduced to show the implementation and effectiveness of the system and redundancy allocation problem.Originality/valueA new general K-out-of-(n + m): G mixed standby model with elapsed repair time and imperfect switching is introduced.

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Section: Introductionmentioning

confidence: 99%

Analysis and genetic algorithm optimization of a series system with K-out-of-(n + m): G mixed standby subsystems subject to imperfect switching and elapsed repair time

Temraz

2021

JQME

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“…For achieving high reliability of the system, the operative and the standby units are interchanged at random epochs and additional preventive maintenance of operative and the standby unit also. [13] analyzed reliability characteristics of two different series system configurations with mixed standby (include cold and warm standby) components. [14] analyzed the cost analysis of a two dissimilar unit cold standby redundant system subject to inspection and random change in units.…”

Section: Introductionmentioning

confidence: 99%

Discrete Time Semi-Markov Model of a Two Non-Identical Unit Cold Standby System with Preventive Maintenance with Three Modes

El-Damcese¹

2015

AJTAS

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This paper presents the reliability and availability measures of a two non-identical unit cold standby redundant system (unit-1 is operating, and unit-2 is cold standby) using semi-Markov process under discrete parametric Markov-Chain i.e. failure and repair times of a unit and time to PM and PM time are taken as discrete random variables assuming three different modes (normal (N) mode, partial failure (P) mode and total failure (F) mode) of each unit. The unit-1 is sent for preventive maintenance (PM) after its working for a random period of time assuming that the failure and repair times of a unit and time to PM and PM time are taken as discrete random variables having geometric distributions with different parameters. A single repairman is available with the system for PM of unit-1 and repair of both units. The system is considered in up-state if only one or two units are operative or in partial failure (P) mode. After some basic definitions and notations, we obtain various measures of system effectiveness; reliability, availability, mean time to failure, busy period of repairman due to PM of unit-1, busy period of repairman due to repair of unit-1 and unit-2 from total failure, and the expected profit function using regenerative point technique. The mathematical problem thus developed has next been solved numerically and graphically represented by the aid of Maple program.

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A k-out-of-n System Reliability Optimization Problem with Mixed Redundancy

Baek¹,

Jeon²

2013

Journal of Korean Institute of Industrial Engineers

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Study of Reliability with Mixed Standby Components

Cited by 3 publications

References 5 publications

Analysis and genetic algorithm optimization of a series system with K-out-of-(n + m): G mixed standby subsystems subject to imperfect switching and elapsed repair time

Analysis and genetic algorithm optimization of a series system with K-out-of-(n + m): G mixed standby subsystems subject to imperfect switching and elapsed repair time

Discrete Time Semi-Markov Model of a Two Non-Identical Unit Cold Standby System with Preventive Maintenance with Three Modes

A k-out-of-n System Reliability Optimization Problem with Mixed Redundancy

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