Stochastic analysis of parallel system with two discrete failures

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

doi:10.3233/mas-140297

Cited by 3 publications

(2 citation statements)

References 2 publications

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“…Several analysts contributed to the investigation of several reliability models employing geometrical distributions. For assessing two identical parallel units, J. Bhatti et al [1] employed discrete distribution and regeneration approaches. For the repair time and inspection policy, geometric distribution is used to identify the types of failures.…”

Section: Introductionmentioning

confidence: 99%

Reliability Analysis of Industrial Model Using Redundancy Technique and Geometric Distribution

2022

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The present paper is an initiative towards analyzing the maintenance process of an industrial model using regenerative techniques. With an increase in demands to analyze the reliability of any industrial models following continuous or discrete distribution, the major concern to be considered inspect the possibility and level of failure and proceeding the failed unit for further repairing process. The system consists of two parallel units following the passive standby redundancy and with different failure mechanism. The proposed analytical methodology in the paper made it possible to assess the reliability of the whole system in the event of failure of its components. The stochastic analysis of reliability characteristics of the considered system to the types of repair time distributions was also studied using geometric distribution. The numerical equations and results being calculated for reliability parameters like mean time to system failure, availability of system in operative form, down period of the system following repair mechanism, using regenerative techniques, and geometric distribution. Graphical and analytical analysis were presented.

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Section: Introductionmentioning

confidence: 99%

Reliability Analysis of Industrial Model Using Redundancy Technique and Geometric Distribution

2022

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“…In 2014, Singh et al [1] applied stochastic technique for examining a turbine plant. Also, Bhatti et al [2,3] initiated by introducing the preferable repairing strategy through the geometric distributions for the industrial models.…”

Section: Introductionmentioning

confidence: 99%

Mathematical modelling to industrial repair and maintenance policy system for its reliability

Bhatti¹,

Bhardwaj²,

Kumar³

2021

Math. Model. Comput.

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The present paper is an initiative taken by emerging reliability model to a automobile repair industries for its products by dividing repair policy into two categories as (a) regular/normal service and (b) strategy for accidental or additional failure. The concept of inspection process has been introduced for proper verification of failure and also to its repairing strategy with time and cost. The maintenance cost for regular services are fixed but for the case of additional failures the additional cost will be decided upon the level of damage. The stochastic analysis for system been numerically and graphically analyzed by calculating reliability variables like MTSF, availability, inspection and maintenance analysis of the system with the concept of geometric distribution, Markov process and regenerative technique. The results been proved beneficial for fulfilling the objective of calculating profit function that increases with increasing repair and decreasing failure rate.

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Reliability Analysis to Industrial Active Standby Redundant System

Bhatti

Kakkar

Bhardwaj

et al. 2020

MJS

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The present paper is contributed for the analysis of system possessing cold standby i.e. active standby redundancy mode. Initially, both similar units are observed to be in operative situation. The inspection procedure for failed units has been introduced who inspect the exact failure and communicate the repairman to repair the exact failed part of unit by replacing with new one with same performance capacity. As the system is following discrete mechanism so the results related to system reliability like MTSF, system availability in operative state, repair & failed time are obtained with application of geometric distribution & regenerative technique. Graphical analysis had also been workout for analyzing the behaviour of profit function with increasing/decreasing rate of repair mechanism and failure rate.

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Stochastic analysis of parallel system with two discrete failures

Cited by 3 publications

References 2 publications

Reliability Analysis of Industrial Model Using Redundancy Technique and Geometric Distribution

Reliability Analysis of Industrial Model Using Redundancy Technique and Geometric Distribution

Mathematical modelling to industrial repair and maintenance policy system for its reliability

Reliability Analysis to Industrial Active Standby Redundant System

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