Stochastic analysis of a two unit cold standby system with preparation time for repair

Singh, Shubham; Srinivasu, B.

doi:10.1016/0026-2714(87)90620-2

Cited by 20 publications

(5 citation statements)

References 4 publications

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“…The theory and the methods of reliability analysis have been developed significantly during the last forty years and have also been acknowledged in a number of publications (Nakagawa and Osaki, 1975;Bobbio et al, 1980;Singh and Srinivasu, 1987;Gupta and Bansal, 1991;Vilkomir et al, 2006;Zhang and Li, 2010). It is well known that the reliability is the probability of a system which operates without interruption during an interval of interest under specified conditions.…”

Section: Introductionmentioning

confidence: 99%

Reliability Measures Analysis of an Industrial System under Standby Modes and Catastrophic Failure

Ram

Manglik

2016

International Journal of Operations Research and Information Systems

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The objective of this research paper is, to present the reliability measures of a model by representing an industrial system having three subsystems. Two of the subsystems have standby unit while the third one has n units in parallel configuration. The entire system can fail due to a failure in subsystems or due to the catastrophic failure. The system failure and the repair rates are assumed to be constant. Markov and supplementary variable methodologies have been used to achieve the mathematical analysis of this model. Generalized expressions of state probabilities, system availability, reliability, mean time to failure, mean time to repair, cost analysis and sensitivity analysis are developed. Graphs for the resulting expressions have been shown.

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Section: Introductionmentioning

confidence: 99%

Reliability Measures Analysis of an Industrial System under Standby Modes and Catastrophic Failure

Ram

Manglik

2016

International Journal of Operations Research and Information Systems

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“…As a result, the standby system models have been widely studied in the literature [1][2][3]. In case of cold standby systems most of the studies, [4][5], primarily focused only on the readiness of the unit in operation, despite of the fact that in a cold standby system the readiness of standby unit is equally important. If the operative unit fails, immediately it must be replaced by the standby to avoid unnecessary loss.…”

Section: Introductionmentioning

confidence: 99%

Performance Analysis of a Stochastic System with Standby Failure and Maintenance

Bhardwaj¹,

Kaur²,

Malik³

2015

IJCA

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In industrial systems some components are kept in spare to cope up with the failures of operating components. The failure of these spares too, significantly affects the functioning and outputs of the system. The current paper investigates a semiMarkov model for a redundant system consisting of two identical units and a repair facility. The system starts operating with one unit in operation and remaining in redundancy mode. The failure rate of unit in redundancy is zero, initially. After crossing a pre specified time the redundant unit is expected to fail and thereafter it goes under inspection to check feasibility of maintenance or replacement so that necessary remedial action can be taken. Under this framework the expressions for various measures of system performance are derived exploring the regenerative point technique of renewal theory. A numerical example, for a particular case, illustrates the practical importance of the study graphically.

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“…If repair of the failed unit is not completed within a specified time, then an order is placed to replace the failed unit by the new one. [17] proposed the stochastic analysis of a single server two identical unit cold standby system. The service facility is summoned whenever the operating unit fails.…”

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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Stochastic analysis of a two unit cold standby system with preparation time for repair

Cited by 20 publications

References 4 publications

Reliability Measures Analysis of an Industrial System under Standby Modes and Catastrophic Failure

Reliability Measures Analysis of an Industrial System under Standby Modes and Catastrophic Failure

Performance Analysis of a Stochastic System with Standby Failure and Maintenance

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

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