Reliability analysis of Polytube industry using supplementary variable technique

Shakuntla, S.; Lal, A. K.; Bhatia, S. S.; Singh, Jagdev

doi:10.1016/j.amc.2011.10.016

Cited by 41 publications

(9 citation statements)

References 15 publications

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“…Critical components of the system were also determined. Shakuntla et al (2011) computed the reliability of the polytube manufacturing plant. Two methods, Lagrange's method and Laplace transformation were used for the reliability evaluation of the system.…”

Section: Literature Reviewmentioning

confidence: 99%

Reliability assessment for multi-state automatic ticket vending machine (ATVM) through software and hardware failures

Kumar

2021

JQME

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PurposeThis paper presents the performance analysis of the automatic ticket vending machine (ATVM) through the functioning of its different hardware and software failures.Design/methodology/approachFrequent failures in the working of ATVM have been observed; therefore, the authors of the paper intend to analyze the performance measures of the same. Authors have developed a mathematical model based on different hardware and software failures/repairs, which may occur during the operation, with the help of the Markov process. The developed model has been solved for two kinds of failure/repair rates namely variable failures (very much similar to real-time failure) and constant failures. Lagrange's method and Laplace transformation are used for the solution of the developed model.FindingsReliability and mean time to failure of the ATVM are determined. Sensitivity analysis for ATVM is also carried out in the paper. Critical components of the ATVM, which affect the performance of the same, in terms of reliability and MTTF are also identified.Originality/valueA mathematical model based on different hardware and software failures/repairs of ATVM has been developed to analyze its performance, which has not been done in the past.

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Section: Literature Reviewmentioning

confidence: 99%

Reliability assessment for multi-state automatic ticket vending machine (ATVM) through software and hardware failures

Kumar

2021

JQME

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“…Shakuntla et al [2] discussed poly tube availability analysis using the supplementary variable technique. Also, reducing the risk of hazards for optimum reliability was studied by Yang et al [3].…”

Section: Introductionmentioning

confidence: 99%

Mathematical model for analysing availability of threshing combine machine under reduced capacity

Singla

Modibbo

Mijinyawa

et al. 2022

YUGOSLAV J OPERATION

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Obtaining system availability in an engineering design is trickish and challenging, especially when there is a reduction in capacity; however, it supports system maintainability. In this paper, a mathematical model for finding the availability under the reduced capacity has been proposed using the Chapman Kolmogorov approach with the help of transition diagrams associated with various possible combinations of probabilities. The paper observes the most critical subsystem by selecting variable failure and repair rates from different subsystems. It deals with the sensitivity analysis of a complex repairable threshing combined machine comprising subsystems in a series configuration and the threshing machine consisting of 21 subsystems. The device works in total capacity when the threshing drum and feeding Hooper work in the complete state, and the concave subsystem and blower work with reduced power. This study dealt with uncertain data and was analyzed analytically using a complex repairable system. The availability of the entire machine has been investigated analytically, and various availability indices such as subsystems extruder have been computed and reported. The study discovered that subsystem extruder has the most impact on some subsystems? overall system availability.

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“…Zhang and Wu [7] used the supplementary variable technique to propose a method for the reliability analysis of a machine repair system with k out n spare units and an F-policy. Shakuntla et al [8] exploited this technique to propose reliability analysis for the polytube industry. This technique was utilized to analyze an M/G/1 machine repair system under multiple imperfect coverages by Wang et al [9].…”

Section: Introductionmentioning

confidence: 99%

Comparison of Three Availability Systems with Warm Standby Components, Detection Delay, and General Repair Times

2020

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This study analyzes three availability systems with warm standby units, fault detection delay, and general repair times. The failure times and repair times of failed components were assumed to follow exponential and general distributions, respectively. The detection delay times were assumed to be exponentially distributed. This study exploited the supplementary variable technique to develop a recursive method for deriving the steady-state availability for three systems. By using extensive numerical computations, we compared three systems in terms of system availability based on specific values given to the system parameters. The state transition rate diagrams of the three systems revealed the symmetry property approximately. The three systems were ranked based on the system availability and the cost/benefit for the three various repair time distributions: exponential, three-stage Erlang, and deterministic, where the benefit was system availability.

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Reliability analysis of Polytube industry using supplementary variable technique

Cited by 41 publications

References 15 publications

Reliability assessment for multi-state automatic ticket vending machine (ATVM) through software and hardware failures

Reliability assessment for multi-state automatic ticket vending machine (ATVM) through software and hardware failures

Mathematical model for analysing availability of threshing combine machine under reduced capacity

Comparison of Three Availability Systems with Warm Standby Components, Detection Delay, and General Repair Times

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