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

2016 ◽  
Vol 7 (3) ◽  
pp. 36-56 ◽  
Author(s):  
Mangey Ram ◽  
Monika Manglik
Keyword(s):  
Catastrophic Failure ◽  
System Failure ◽  
Time To Failure ◽  
Industrial System ◽  
Supplementary Variable ◽  
Repair Cost ◽  
Reliability Measures ◽  
System Availability ◽  
Parallel Configuration ◽  
Mean Time

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.

scholarly journals Copula based Measures of Repairable Parallel System with Fault Coverage

2020 ◽  
Vol 6 (1) ◽  
pp. 322-344
Author(s):  
Vaishali Tyagi ◽  
Ritu Arora ◽  
Mangey Ram ◽  
Ioannis S. Triantafyllou
Keyword(s):  
Process Time ◽  
Time To Failure ◽  
Supplementary Variable ◽  
Coverage Factor ◽  
Reliability Measures ◽  
Failed State ◽  
Finite State ◽  
Laplace Transformations ◽  
Human Failure ◽  
Mean Time

The main objective of this study is to analyse the reliability behaviour of parallel systems with three types of failure, namely unit failure, human failure and major failure. For this purpose, we apply three different statistical techniques, namely copula, coverage and copula-coverage. More precisely, this study presents a stochastic model for analysing the behaviour of a multi-state system consisting of two non-identical units by incorporating the concept of coverage factor and two types of repair facilities between failed state to a normal state. The system could be characterized as being in a failed state due to unit failures, human failure and major failures, such as catastrophic and environmental failure. All failure rates are constant and it is assumed that these are exponentially distributed whereas, repair rates follow the Gumbel-Hougaard copula distribution. The entire system is modelled as a finite-state Markov process. Time-dependent reliability measures like availability, reliability and mean time to failure (MTTF) are obtained by supplementary variable techniques and Laplace transformations. The present study provides a comparative analysis for reliability measures among the aforementioned techniques, while a discussion referring to which technique makes the system more reliable is also developed. Furthermore, numerical simulations are presented to validate the analytical results.

A Bayesian Estimation of Reliability Measures of Stepwise Exponential Distribution System

1991 ◽  
Author(s):  
M. H. Hu
Keyword(s):  
Bayesian Estimation ◽  
Exponential Distribution ◽  
Distribution System ◽  
Failure Process ◽  
Reliability Function ◽  
Distribution Model ◽  
Time To Failure ◽  
Reliability Measures ◽  
In Series ◽  
Mean Time

Abstract This paper presents an analysis method for reliability measures of a system with step changes in failure and repair rates. Both failure and repair time have exponential function of time. Such a system is called a stepwise exponential distribution system. This kind of failure process can take place in various equipments. This paper deals with the system having components in series arrangement. Bayesian statistics is used in defining prior and posterior probability density functions of failure and repair rates. These functions provide information for the estimation of reliability measures: 1) failure and repair rates, 2) mean time to failure, 3) mean time to repair, 4) reliability function and 5) availability. A sample problem is given to illustrate the methodology. The Bayesian estimation of the stepwise exponential distribution model is useful in the planning of equipment predictive maintenance.

scholarly journals DEGRADATION ANALYSIS OF PROBABILISTIC PARALLEL CHOICE SYSTEMS

2014 ◽  
Vol 21 (03) ◽  
pp. 1450012
Author(s):  
AVINASH SAXENA ◽  
SHRISHA RAO
Keyword(s):  
Complete System ◽  
System Failure ◽  
Time To Failure ◽  
Probabilistic Choice ◽  
Mean Time Between Failures ◽  
System Parameters ◽  
Time Between Failures ◽  
Degradation Analysis ◽  
Mean Time ◽  
Selection Of

Degradation analysis is used to analyze the useful lifetimes of systems, their failure rates, and various other system parameters like mean time to failure (MTTF), mean time between failures (MTBF), and the system failure rate (SFR). In many systems, certain possible parallel paths of execution that have greater chances of success are preferred over others. Thus we introduce here the concept of probabilistic parallel choice. We use binary and n-ary probabilistic choice operators in describing the selections of parallel paths. These binary and n-ary probabilistic choice operators are considered so as to represent the complete system (described as a series-parallel system) in terms of the probabilities of selection of parallel paths and their relevant parameters. Our approach allows us to derive new and generalized formulae for system parameters like MTTF, MTBF, and SFR. We use a generalized exponential distribution, allowing distinct installation times for individual components, and use this model to derive expressions for such system parameters.

Welding Process under Fault Coverage Approach for Reliability and MTTF

2017 ◽  
pp. 222-245
Author(s):  
Nupur Goyal ◽  
Mangey Ram ◽  
Pranshu Kumar
Keyword(s):  
Transition State ◽  
Welding Process ◽  
Fault Coverage ◽  
State Probability ◽  
Time To Failure ◽  
Supplementary Variable ◽  
Markov Modelling ◽  
Practical Utility ◽  
Suitable Combination ◽  
Mean Time

This chapter deals with the problems occur in the welding under the consideration of many causes of defects such as cracking, distortion, porosity, inclusion and undercutting. Welding is very useful for every industry. It is used as a fabrication and sculptural that joins the two parts of materials, generally metals or thermoplastic, through a restricted amalgamation from a suitable combination of temperature, pressure and metallurgical conditions. In this chapter, authors study that the welding process is how much reliable when many causes of defects taken account into this process and try to find out the reliability and mean time to failure of welding process with the help of Markov modelling and supplementary variable technique. They derived the generalised expression for the probability of each possible transition state, probability of upstate and downstate of welding, and also studied the sensitivity in reliability and MTTF of welding. Fault coverage technique has been developed to enhance the reliability of the welding process for practical utility in the industry.

Performance and Cost Assessment of a Small Solar Photovoltaic System Using Gumbel-Haugaard Family Copula Analysis

2021 ◽  
Author(s):  
Anas Maihulla ◽  
Ibrahim Yusuf ◽  
Saminu Bala
Keyword(s):  
Sensitivity Analysis ◽  
Photovoltaic System ◽  
Cost Assessment ◽  
Time To Failure ◽  
Solar Photovoltaic ◽  
Schematic Diagram ◽  
System Availability ◽  
Solar Photovoltaic System ◽  
Mean Time ◽  
Availability Model

Abstract The main objective of the present study is to analyze the availability of solar photovoltaic system. The solar photovoltaic system in this paper is simple one consisting of four subsystems namely, solar panel subsystem, charge controller subsystem, batteries subsystem and inverter subsystem. Through the schematic diagram of state of the system, availability model is formulated and Chapmen - Kolmogorov differential equations are developed and solved using Gumbel Haugaard family Copula technique. The numerical values for availability, reliability, mean time to failure (MTTF), cost analysis as well as sensitivity analysis are presented. The effects of failure rates to various solar photovoltaic subsystems were developed.

Sensitivity analysis of a three-unit series system under k-out-of-n redundancy

2017 ◽  
Vol 34 (6) ◽  
pp. 770-784 ◽  
Author(s):  
Nupur Goyal ◽  
Mangey Ram ◽  
Shubham Amoli ◽  
Alok Suyal
Keyword(s):  
Sensitivity Analysis ◽  
Performance Measure ◽  
General Distribution ◽  
Time To Failure ◽  
Reliability Measures ◽  
Mean Time To Failure ◽  
Content Type ◽  
Failure Cost ◽  
In Series ◽  
Mean Time

Purpose The purpose of this paper is to investigate the reliability measures, namely, availability, reliability, mean time to failure and expected profit. The authors also analyse the sensitivity of these reliability measures. Design/methodology/approach Depending upon the real industrial relevance, a generalized system which is easily repairable, extremely reliable and of high quality is expected by the rapid growth of the digital economy. Considering reliability, as one of the performance measure, the authors have designed a complex system which consists of three subsystems, namely, A, B and C in series configuration. The subsystem A consists of n numbers of units which are arranged in parallel configuration, subsystem B consists of two sub-subsystems X and Y align parallel to one another, where X is a type of 1-out-of-n:F. Failure and repair rates are assumed to be follow the general distribution. Findings The system is deeply studied by the usage of the supplementary variable technique, Laplace transformation and Markov’s law. Various conclusive results such as availability and reliability of the system, mean time to failure, cost and sensitivity analysis have been discussed further. Originality/value Through the systematic view of reliability measures of the proposed system, performance of the system can be enhanced under high profit.

scholarly journals Stochastic Biometric System Modelling with Rework Strategy

2016 ◽  
Vol 1 (1) ◽  
pp. 1-17 ◽  
Author(s):  
Mangey Ram ◽  
Monika Manglik
Keyword(s):  
Liquid Crystal Display ◽  
System Modelling ◽  
Time To Failure ◽  
Supplementary Variable ◽  
Biometric System ◽  
Variable Technique ◽  
Efficient System ◽  
Whole Process ◽  
Long Time ◽  
Mean Time

In this paper, the authors proposed the reliability mathematical modeling of a biometric system that computerizes the whole process of taking attendance and keeping its records in an academic institute. Manually taking attendance and sustaining it for a long time is very difficult as well as wastes a lot of time. For this cause, an efficient system has to be designed. This system takes attendance electronically with the help of a fingerprint scanner, and all the records are saved on a computer server. In order to mark the attendance, student or employee has to place his/her finger on the fingerprint sensor. On proof of identity student’s or employee’s record is well-run in the database, and he/she is reported through liquid-crystal display screens. Here, the authors evaluated reliability measures of the system such as availability, reliability, mean time to failure (MTTF), cost analysis and sensitivity analysis with the help of Laplace transformation, supplementary variable technique, and Markov technique.

Probabilistic assessment of complex system consisting three subsystems, multi-failure threats and copula repair approach

2022 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Abbas Bin Jibril ◽  
V.V. Singh ◽  
Dilip Kumar Rawal
Keyword(s):  
Research Work ◽  
System Failure ◽  
Supplementary Variable ◽  
System Availability ◽  
Content Type ◽  
Industrial Systems ◽  
Variable Approach ◽  
Series Configuration ◽  
Better Than ◽  
Operational Scheme

PurposeThe purpose of this paper is to deliberate the system reliability of a system in combination of three subsystems in a series configuration in which all three subsystems function under a k-out-of-n: G operational scheme. Based on computed results, it has been demonstrated that copula repair is better than general repair for system better performance. The supplementary variable approach with implications of copula distribution has been employed for assessing the system performance.Design/methodology/approachProbabilistic assessment of complex system consisting three subsystems, multi-failure threats and copula repair approach is used in this study. Abbas Jubrin Bin, V.V. Singh, D.K. Rawal, in this research paper, have analyzed a system consisting of three subsystems in a series configuration in which all three subsystems function under a k-out-of-n: G operational scheme. The supplementary variable approach with implications of copula distribution has been employed for assessing the system performance. Based on computed results, it has been demonstrated that copula repair is better than general repair for system better performance.FindingsIn this analysis, four different cases of availability are analysed for Gumbel–Hougaard family copula and also four cases for general repair with similar failure rates are studied. The authors found that when failure rates increase, the system availability decreases, and when the system follows copula repair distribution, the system availability is better than general repair.Research limitations/implicationsThis research may be implemented in various industrial systems where the subsystems are configured under k-out-of-n: G working policy. It is also advisable that copula repair is highly recommended for best performances from the system. On the basis of mean time to system failure (MTSF) computations, the failure rate which affects system failure more needs to be controlled by monitoring, servicing and replacing stratagem.Practical implicationsThis research work has great implications in various industrial systems like power plant systems, nuclear power plant, electricity distributions system, etc. where the k-out-of-n-type of system operation scheme is validated for system operations with the multi-repair.Originality/valueThis work is a new work by authors. In the previously available technical analysis of the system, the researchers have analyzed the repairable system either supplementary variable approach, supplementary variable and system which have two subsystems in a series configuration. This research work analyzed a system with three subsystems with a multi-repair approach and supplementary variables.

Reliability and Availability analysis of a cloud computing transition system under multiple failures

2020 ◽  
Vol 37 (6/7) ◽  
pp. 823-835
Author(s):  
Monika Manglik ◽  
Nitesh Rawat ◽  
Mangey Ram
Keyword(s):  
Mathematical Model ◽  
Cloud Computing ◽  
Design Methodology ◽  
Transition System ◽  
Time To Failure ◽  
Reliability Measures ◽  
Variable Technique ◽  
Content Type ◽  
Availability Analysis ◽  
Mean Time

PurposeTo analyze the performance of multistate cloud computing transition system through the various reliability measures is the purpose of this paper.Design/methodology/approachIn this article, a mathematical model for a multistate cloud computing transition system with various types of failures has been analyzed by using the Markov process, supplementary variable technique and Laplace transformation.FindingsVarious reliability measures such that reliability, availability, mean time to failure (MTTF), mean time to repair and cost analysis have also been analyzed. This article presents some geographic illustrations for the practical utility of the model.Originality/valueThe authors developed a mathematical model to analyze the reliability of the cloud computing transition system by considering the possible failures.

Multi-State Reliability Measures Analysis of Nuclear Power Plant (NPP) System

2019 ◽  
Vol 27 (02) ◽  
pp. 2040007
Author(s):  
Amit Kumar ◽  
Anshumaan Saxena ◽  
Mangey Ram
Keyword(s):  
High Risk ◽  
Power Plant ◽  
Nuclear Power Plant ◽  
Performance Measures ◽  
Nuclear Power ◽  
Industrial System ◽  
Supplementary Variable ◽  
Reliability Measures ◽  
Variable Technique ◽  
Uranium Fuel

Effective maintenance and monitoring in high-risk industrial system play a very crucial role. Monitoring of a system involves how the system works and how its sub-units are connected to each other? The interconnection of the units in a system is very important for the performance of the system. In this paper, authors tried to examine the various performance measures of a Nuclear Power Plant (NPP) by taking in consideration its different sub-parts like control roads, turbine, steam generator, pump, uranium fuel, generator, etc., and their interconnection in the NPP, with the aid of Markov process and supplementary variable technique (SVT). This work begins by reviewing previously conducted studies for NPP. Finally, the results are demonstrated by the graphs to understand the effect of various failures on the performance of NPP.

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