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

2021 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Amit Kumar ◽  
Pardeep Kumar
Keyword(s):  
Mathematical Model ◽  
Time To Failure ◽  
Content Type ◽  
Software Failures ◽  
Model Based ◽  
Software And Hardware ◽  
Hardware Failures ◽  
Critical Components ◽  
Mean Time ◽  
Lagrange’S Method

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.

Reliability Prediction of Computing Network with Software and Hardware Failures

2019 ◽  
Vol 27 (02) ◽  
pp. 2040006
Author(s):  
Chandra Shekhar ◽  
Neeraj Kumar ◽  
Madhu Jain ◽  
Amit Gupta
Keyword(s):  
Fault Tolerant ◽  
Transient State ◽  
Reliability Prediction ◽  
Time To Failure ◽  
Failure Times ◽  
Machine Interference ◽  
Random Failure ◽  
Software And Hardware ◽  
Hardware Failures ◽  
Mean Time

In this paper, we investigate the reliability and queueing performance indices for the fault-tolerant computing network having a finite number of unreliable operating components with the provision of warm standby components. Operating and standby components are governed by dedicated software which is also prone to random failure. On failure of operating components, available standby component(s) may switch from the standby state to operating state with negligible switchover time. The switchover process may also fail due to some automation hindrance. The computing network is also subjected to common cause failure in lieu of external cause. The studied redundant fault-tolerant computing network is framed as a Markovian machine interference model with exponentially distributed inter-failure times and service times. For the reliability prediction of the computing network, various performance measures, namely, mean-time-to-failure (MTTF), reliability/availability, failure frequency, etc., have been formulated in terms of transient-state probabilities which we have obtained using the spectral method. To show the practicability of the developed model, numerical simulation has been done. Sensitivity analysis of reliability and other indices of the computing network with respect to different network parameters has been presented, and results are summarized in the tables and graphs. Finally, future scope and concluding remarks have been included.

Sensitivity and reliability evaluation for a thermal power plant subject to complex failures and human error

2019 ◽  
Vol 15 (5) ◽  
pp. 895-912 ◽  
Author(s):  
Amit Kumar
Keyword(s):  
Power Plant ◽  
Thermal Power Plant ◽  
Design Methodology ◽  
Human Error ◽  
Thermal Power ◽  
Time To Failure ◽  
Content Type ◽  
Critical Components ◽  
Continuous Power ◽  
Mean Time

Purpose The purpose of this paper is to analyze a thermal power plant (TPP) by taking into consideration its key components, namely, boiler, turbine, conveyor and generator, which are handled by a human operator. It is well known fact that the continuous power generation through a power plant depends on the reliability/availability of its components. Design/methodology/approach The various performance measures of a TPP are obtained by using mathematical modeling, Markov process and supplementary variable technique. Findings Reliability, i.e. mean time to failure with respect to different components of a TPP, has been obtained and demonstrated with the help of graphs. Critical components of the system are identified through sensitivity analysis. Originality/value In the present paper, a mathematical model based on the functioning of a TPP has been developed. Conclusions in this paper are good references for the design of a TPP.

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.

Application of Markov process/mathematical modelling in analysing communication system reliability

2019 ◽  
Vol 37 (2) ◽  
pp. 354-371 ◽  
Author(s):  
Amit Kumar ◽  
Pardeep Kumar
Keyword(s):  
Mathematical Model ◽  
Markov Process ◽  
Wireless Communication ◽  
Mathematical Modelling ◽  
Communication System ◽  
Time To Failure ◽  
Content Type ◽  
Wireless Communication System ◽  
Critical Components ◽  
Main Components

Purpose The purpose of this paper is to analyse the main components of a wireless communication system, e.g. input transducer, transmitter, communication channel and receiver on the basis of their interconnection for evaluating the various reliability measures for the same. Design/methodology/approach Markov process and mathematical modelling is used to formulate a mathematical model of the considered system (on the basis of various failures/repairs). Findings Reliability of the wireless communication system with respect to its components failure is obtained and explained with the graphs. Also, critical components of the system are identified with the aid of sensitivity analysis. At last, mean time to failure with variation in various failures is obtained. Originality/value In the present paper, a mathematical model based on the working of the wireless communication system has been developed. Conclusions in this paper are good references for the improvement in the same.

scholarly journals Filling machine preventive maintenance using age replacement method in PT Lucas Djaja

2018 ◽  
Vol 154 ◽  
pp. 01056
Author(s):  
Fifi Herni Mustofa ◽  
Ria Ferdian Utomo ◽  
Kusmaningrum Soemadi
Keyword(s):  
Maintenance Cost ◽  
Time To Failure ◽  
High Failure Rate ◽  
Corrective Maintenance ◽  
Replacement Method ◽  
Critical Components ◽  
Age Replacement ◽  
Engine Maintenance ◽  
A Company ◽  
Mean Time

PT Lucas Djaja is a company engaged in the pharmaceutical industry which produce sterile drugs and non-sterile. Filling machine has a high failure rate and expensive corrective maintenance cost. PT Lucas Djaja has a policy to perform engine maintenance by way of corrective maintenance. The study focused on the critical components, namely bearing R2, bearing 625 and bearing 626. When the replacement of the failure done by the company is currently using the formula mean time to failure with the result of bearing R2 at point 165 days, bearing 625 at a point 205 days, and bearing 626 at a point 182 days. Solutions generated by using age replacement method with minimization of total maintenance cost given on the bearing R2 at a point 60 days, bearing 625 at the point of 80 days and bearing 626 at a point 40 days.

Transient analysis of computing system with reboot and recovery delay

2020 ◽  
Vol 37 (6/7) ◽  
pp. 983-1005
Author(s):  
Chandra Shekhar ◽  
Amit Gupta ◽  
Madhu Jain ◽  
Neeraj Kumar
Keyword(s):  
Sensitivity Analysis ◽  
Fault Tolerant ◽  
Transient State ◽  
Recovery Process ◽  
Computing System ◽  
Time To Failure ◽  
Mean Time To Failure ◽  
Content Type ◽  
Imperfect Coverage ◽  
Mean Time

PurposeThe purpose of this paper is to present a sensitivity analysis of fault-tolerant redundant repairable computing systems with imperfect coverage, reboot and recovery process.Design/methodology/approachIn this investigation, the authors consider the computing system having a finite number of identical working units functioning simultaneously with the provision of standby units. Working and standby units are prone to random failure in nature and are administered by unreliable software, which is also likely to unpredictable failure. The redundant repairable computing system is modeled as a Markovian machine interference problem with exponentially distributed failure rates and service rates. To excerpt the failed unit from the computing system, the system either opts randomized reboot process or leads to recovery delay.FindingsTransient-state probabilities have been determined with which the authors develop various reliability measures, namely reliability/availability, mean time to failure, failure frequency, and so on, and queueing characteristics, namely expected number of failed units, the throughput of the system and so on, for the predictive purpose. To spectacle the practicability of the developed model, a numerical simulation, sensitivity analysis and so on for different parameters have also been done, and the results are summarized in the tables and graphs. The transient results are helpful to analyze the developing model of the system before having the stability of the system. The derived measures give direct insights into parametric decision-making.Social implicationsThe conclusion has been drawn, and future scope is remarked. The present research study would help system analyst and system designer to make a better choice/decision in order to have the economical design and strategy based on the desired mean time to failure, reliability/availability of the systems and other queueing characteristics.Originality/valueDifferent from previous investigations, this studied model provides a more accurate assessment of the computing system compared to uncertain environments based on sensitivity analysis.

Analysis of reliability and its characteristics of a k-out-of-n network incorporating copula

2020 ◽  
Vol 37 (4) ◽  
pp. 517-537
Author(s):  
Nisha Nautiyal ◽  
S.B. Singh ◽  
Soni Bisht
Keyword(s):  
Design Methodology ◽  
Time To Failure ◽  
Mean Time To Failure ◽  
Content Type ◽  
The Past ◽  
Mean Time

PurposeThe present paper focuses on the evaluation of reliability and its characteristics (Mean time to failure and Sensitivity) of a k-out-of-n network.Design/methodology/approachThe minimal cuts of the network have been evaluated for different nodes in this paper, using an algorithm. With the help of these cuts, reliability and its characteristics are obtained using Gumbel–Hougaard family of the copula.FindingsThe present paper proposes to compute the reliability and its measures of the k-out-of-n network using the minimal cuts and copula methodology. The completely failed nodes of the network have been repaired using Gumbel–Hougaard family of the copula.Originality/valueIn this paper, the reliability of a k-out-of-n network has been evaluated by first calculating k-out-of-n minimal cuts, and the failed nodes have also been repaired using Gumbel–Hougaard family of the copula, unlike as done in the past.

A non-linear mathematical model-based routing protocol for WBAN-based health-care systems

2021 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Ch Rajendra Prasad ◽  
Polaiah Bojja
Keyword(s):  
Mathematical Model ◽  
Health Care ◽  
Energy Consumption ◽  
Routing Protocol ◽  
Data Transmission ◽  
Transmission Rate ◽  
Content Type ◽  
Data Transmission Rate ◽  
Model Based ◽  
Non Linear

Purpose This paper aims to present a non-linear mathematical model-based routing protocol for wireless body area networks (WBANs). Two non-linear mathematical models for WBANs are used in the proposed protocols Model 1 and Model 2. Model 1 intends to improve the data transmission rate and Model 2 intends to reduce energy consumption in the WBANs. These models are simulated for fixed deployment and priority-based data transmission, and performance of the network is analyzed under four constraints on WBANs. Design/methodology/approach Advancements in wireless technology play a vital role in several applications such as electronic health care, entertainment and games. Though WBANs are widely used in digital health care, they have restricted battery capacity which affects network stability and data transmission. Therefore, several research studies focused on reducing energy consumption and maximizing the data transmission rate in WBANs. Findings Simulation results of the proposed protocol exhibit superior performance in terms of four network constraints such as residual energy, the stability of the network, path loss and data transmission rate in contrast with conventional routing protocols. The performance improvement of these parameters confirms that the proposed algorithm is more reliable and consumes less energy than traditional algorithms. Originality/value The Model 1 of the proposed work provides maximum data extraction, which ensures reliable data transmission in WBANs. The Model 2 allocates minimal hop count path between the sink and the sensor nodes, which minimizes energy consumption in the WBANs.

Multi-objective maintenance planning under preventive maintenance

2021 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Abbas Al-Refaie ◽  
Hiba Almowas
Keyword(s):  
Mathematical Model ◽  
Single Machine ◽  
Preventive Maintenance ◽  
Probability Distributions ◽  
Time To Failure ◽  
Maintenance Planning ◽  
Maintenance Policy ◽  
Content Type ◽  
Series Configuration ◽  
Preventive Policy

PurposeThis research developed and examined a mathematical model for concurrent corrective and preventive maintenance policy of a system of series configuration.Design/methodology/approachA mathematical model was developed to maximize availability, and maximal net revenues, and minimal cost. Different probability distributions for time to failure and time to repair were considered. The model was then implemented on a real case study, which was studied under corrective maintenance policy and concurrent corrective and preventive policy.FindingsA comparison between results at current policy (90 days) and optimal period of corrective and preventive policy was conducted. It was found that availability, profit was increased from 94.4% and $20.091 – 96.5% and $24.803, respectively. Further, the cost was reduced from $1104.8 to $797.22.Research limitations/implicationsThe proposed optimization model can be adopted in planning maintenance activities for a single machine as well as for a system of series configuration machines under various probability distributions.Practical implicationsThe proposed model can significantly enhance performance of the production as well as maintenance systems. In addition, the developed model may support maintenance engineering in effective management of maintenance resources and the performance of its activities.Originality/valueThis research considers a mathematical model with multi-objective functions and distinct probability distributions for time-to-failure for a system of series machines. Moreover, appropriate approximation solution was deployed to find integral of some functions. Finally, it provides maintenance planning for a single machine or a series of machines.

Performance evaluation of a hybrid series–parallel system with two human operators using Gumbel–Hougaard family copula

2021 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Abdulkareem Lado Ismail ◽  
Sanusi Abdullahi ◽  
Ibrahim Yusuf
Keyword(s):  
Cost Analysis ◽  
Research Paper ◽  
Laplace Transforms ◽  
Parallel System ◽  
Time To Failure ◽  
Content Type ◽  
Failure State ◽  
Mathematical Equations ◽  
Human Operators ◽  
Mean Time

PurposeThis study deals with the reliability analysis of a hybrid series–parallel system consisting of two subsystems A and B with two human operators. Subsystem A has two units in active parallel while subsystem B consists of two-out-of-four units. Both units have exponential failure and repair time. The system under consideration has two states: partial failure state and complete failure state. The mathematical equations associated with the transition diagram have been formulated using regenerative point techniques. The system is analysed using Laplace transforms to solve the mathematical equations. Some important measures of reliability such as availability of system, reliability of the system, mean time to failure (MTTF), sensitivity for MTTF and cost analysis have been discussed. Some particular cases have also been derived and examined to see the practical effect of the model. The computed results are demonstrated by tables and graphs. Furthermore, the results of the designed model are beneficial for system engineers and designers, reliability and maintenance managers.Design/methodology/approachThis paper considered a hybrid series–parallel system consisting of two subsystems A and B with two human operators. The performance of the system is studied using the supplementary variable technique and Laplace transforms. The various measures of reliability such as availability, reliability, mean time to system failure (MTSF), sensitivity for MTTF and cost analysis have been computed for various values of failure and repair rates. Maple 13 software has been used for computations.FindingsIn this research paper, the authors have computed various measures of reliability such as availability, reliability, MTSF, sensitivity for MTTF and cost analysis for various values of failure and repair rates and find that failure due to human operators are more responsible for successful operation of the system and also regular repair should be invoked to improve system performance.Originality/valueThis research paper is the original work of authors. The references are well cited based on the importance of study. Nothing has been detached from any research paper or books.

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