{"title":"Interval Estimation of the Stress-Strength Reliability in Lehmann Family of Distributions","authors":"Sanju Scaria, Sibil Jose, Seemon Thomas","doi":"10.13052/jrss0974-8024.1622","DOIUrl":"https://doi.org/10.13052/jrss0974-8024.1622","url":null,"abstract":"This paper presents a unified approach for computing confidence limits for stress–strength reliability when strength and stress are independent random variables following a distribution in Lehmann family. The generalized confidence interval and the bootstrap confidence intervals are obtained. Simulation studies are conducted to assess the performance of the proposed methods in terms of the estimated coverage probabilities and the length of the confidence intervals. An example is also provided for illustration.","PeriodicalId":42526,"journal":{"name":"Journal of Reliability and Statistical Studies","volume":"81 4","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-12-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139156767","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Parameters Estimation of the Exponentiated Chen Distribution Based on Upper Record Values","authors":"Farhad Yousaf, Sajid Ali, Ismail Shah, Saba Riaz","doi":"10.13052/jrss0974-8024.16110","DOIUrl":"https://doi.org/10.13052/jrss0974-8024.16110","url":null,"abstract":"This article discusses the Bayesian and frequentist inferences for the exponentiated Chen distribution assuming upper record values. Due to unavailability of the compact form of marginal posterior distributions, a Markov Chain Monte Carlo algorithm is designed to compute the posterior summaries. Prediction of future record values under Bayesian and frequentist methods is also discussed mathematically and numerically. Further, a sensitivity analysis to assess the effect of prior on the estimated parameters is also a part of this study. Besides the simulation studies, the importance of the present study is illustrated with the help of a real data example. It is noted that the Bayes estimates outperform the frequentist inference.","PeriodicalId":42526,"journal":{"name":"Journal of Reliability and Statistical Studies","volume":"3 4","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-12-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138980517","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Valeriana Lukitosari, S. D. Surjanto, Sena Safarina, Komar Baihaqi, Sri Irna Solihatun Ummah
{"title":"The Predicted Failure on A Two-Dimensional Warranty Using the Bayesian Approach","authors":"Valeriana Lukitosari, S. D. Surjanto, Sena Safarina, Komar Baihaqi, Sri Irna Solihatun Ummah","doi":"10.13052/jrss0974-8024.1619","DOIUrl":"https://doi.org/10.13052/jrss0974-8024.1619","url":null,"abstract":"Traditionally, the warranty cost is assumed to be the cost of repairs based on the average cost that arises from a damage claim. Several studies have considered the Least Square and Maximum Likelihood Estimation methods in estimating the parameters of the failure distribution. However, this study uses the Bayesian method using the posterior distribution obtained from the prior distribution and the likelihood function. The Bayesian approach is more optimal to use in estimating parameters because it has the smallest value of Aikaike’s Information Criterion (AIC) compared to other methods. Failure expectations that are close to natural can be used to analyze survival to determine how long a product will last before the failure. The numerical example in this study, is the type of motorcycle with an engine capacity of 125 CC with the Weibull distribution, while the 150 CC and 160 CC with Exponential distribution. The novelty in this study is that the free repair approach in two-dimensional can be anticipated with failure considering the dimensions of age and mileage.","PeriodicalId":42526,"journal":{"name":"Journal of Reliability and Statistical Studies","volume":"42 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-11-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139211332","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"An Effective Approach for Solving Multi-objective Transportation Problem","authors":"Lakhveer Kaur, Sukhveer Singh, Ashok Singh Bhandari, Sandeep Singh, M. Ram","doi":"10.13052/jrss0974-8024.1618","DOIUrl":"https://doi.org/10.13052/jrss0974-8024.1618","url":null,"abstract":"In this present study, a transportation problem is considered such that the total cost and time of transportation are minimized without taking into account their priorities. In literature, there are less techniques available for finding the efficient solutions of multi-objective transportation problem. So, we developed a heuristic algorithm to find most efficient solution of multi-objective transportation problem, which gives efficient solution with minimum difference from ideal solution. Firstly, we aim at formulating a multi-objective transportation problems along with a novel algorithm to find efficient solutions. The proposed algorithm gives optimal solution faster in comparison to other available techniques in literature for the given multi-objective transportation problem. Moreover, it avoids the degeneracy as well as requires low computational effort. Furthermore, an illustrative example is provided to show the feasibility and applicability of the proposed approach and compare the results with the existing approaches to show the effectiveness of it.","PeriodicalId":42526,"journal":{"name":"Journal of Reliability and Statistical Studies","volume":"4 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-11-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139210741","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Heuristical Approach for Optimizing Population Mean Using Ratio Estimator in Stratified Random Sampling","authors":"G. Triveni, Faizan Danish","doi":"10.13052/jrss0974-8024.1617","DOIUrl":"https://doi.org/10.13052/jrss0974-8024.1617","url":null,"abstract":"In this study, we have developed a Ratio type estimator in Stratified sampling to estimate the population average of study variable by using the information of a concomitant variable. By utilizing Taylor’s series, we have derived the expressions for Bias and MSE upto first degree of approximation. In numerical illustration, employing a real data set, we have demonstrated that the proposed estimator has highest Percentage relative efficiency when compared to the considered existing estimatrs. Furthermore, we have demonstrated that Separate ratio type estimators have the highest relative efficiency when contrasted with the Combined ratio type estimators.","PeriodicalId":42526,"journal":{"name":"Journal of Reliability and Statistical Studies","volume":"18 2","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-11-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139255118","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Managing Carbon Foot Prints in Supply Chain for Imperfect Quality Items","authors":"Sahil Bhardwaj, Mandeep Mittal, Riju Chaudhary","doi":"10.13052/jrss0974-8024.1616","DOIUrl":"https://doi.org/10.13052/jrss0974-8024.1616","url":null,"abstract":"Producing 100% high-quality items is a challenging task in today’s era, which often results in the delivery of defective products. Therefore, inspecting the lot becomes a necessity. This paper investigates the impact of environmental concerns on the inventory model by incorporating fuel costs and emission taxes. The objective of the study is to minimize the expected total cost and determine the optimal order quantity. The study includes a numerical example with sensitivity analysis to determine the model’s robustness. The findings of the study indicate that minimizing emissions also reduces the expected total cost. The paper highlights the significance of considering environmental concerns in inventory management. The study highlights the importance of addressing environmental issues in inventory management and provides a framework for minimizing costs while considering the impact on the environment.","PeriodicalId":42526,"journal":{"name":"Journal of Reliability and Statistical Studies","volume":"29 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135553013","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Cost Optimization and Reliability Parameter Extraction of a Complex Engineering System","authors":"Anuj Kumar, Sangeeta Pant, M. Ram","doi":"10.13052/jrss0974-8024.1615","DOIUrl":"https://doi.org/10.13052/jrss0974-8024.1615","url":null,"abstract":"Nowadays, the transformation of the various energy system is the core objective of the dedicated sustainable development goal related to energy sustainable world within the new United Nations development agenda. Different nuclear regulatory authorities around the globe, sets Technical Specifications (TSs) for ensuring the human and environmental safety of various highly volatile and complex Nuclear Power Generation Plants (NPGPs). TSs define numerous measures and limitations related to safety and sustainability that must be followed by all NPGPs around the world. Reliability, availability and cost components associated with a NPGPs form important bases for the setting of TSs. In this work, a framework based on few recent metaheuristics like Cuckoo Search Algorithm (CSA), Grey Wolf Optimizer (GWO), Hybrid PSO GWO algorithm (HPSOGWO) has been presented for cost optimization and reliability parameter extraction of a complex engineering system named Heat Removal System (HRS) of a nuclear power generation plant safety system (NPGPSS). A multi-criteria decision-making (MCDM) method named Weighted-Sum Method (WSM) has also been employed for prioritizing the available metaheuristics based on available beneficial and non-beneficial criteria’s.","PeriodicalId":42526,"journal":{"name":"Journal of Reliability and Statistical Studies","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-07-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49246615","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"System Reliability Analysis of Large Capacity Electric Mining Trucks Used in Coal Mining","authors":"Sedat Toraman","doi":"10.13052/jrss0974-8024.1614","DOIUrl":"https://doi.org/10.13052/jrss0974-8024.1614","url":null,"abstract":"In today’s world where competition is increasing, the focus of all efforts on meeting production targets at the lowest possible cost has increased the need for maximum benefit from existing machinery/equipment. In this context, availability, reliability and maintainability analysis have become the basic tools to be used in meeting this need.\u0000In this study, reliability, maintainability and availability values were determined using the operation and repair data (2019) of large capacity electric trucks used in the Manisa-Soma coal field. First of all, each truck was analyzed and then the analysis of the entire truck system was performed. In this context, RAM analysis of all trucks was performed and then the general reliability of the entire truck system was calculated by considering the working order in the enterprise. According to this; The truck with the highest reliability is the truck with door number 555 and the reliability rate is 77.04%, and the truck with the lowest reliability is the truck number 556 with a rate of 26.31%. As a result of the maintainability analysis, the truck with the 553 door number had the highest maintainability with a rate of 73.52%. The truck numbered 549 has the lowest maintainability rate with a rate of 42.21%. As a result of the system analysis, the reliability rate was determined as 24% in R (1000) minutes, 59% in R (500) minutes and 83% in R (250) minutes.","PeriodicalId":42526,"journal":{"name":"Journal of Reliability and Statistical Studies","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-07-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43308733","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Shubhagata Roy, Prayas Sharma, K. K. Singh, R. Srivastava
{"title":"On a Statistical Model Useful for Demographics: Estimating the Mean Number of Children Ever Born Through the Distribution of Male Births with an Application to Data from India","authors":"Shubhagata Roy, Prayas Sharma, K. K. Singh, R. Srivastava","doi":"10.13052/jrss0974-8024.1613","DOIUrl":"https://doi.org/10.13052/jrss0974-8024.1613","url":null,"abstract":"The connection between male births and fertility can be easily linked with demographic transition and in defining the population distribution. In this context, it is necessary to understand the birth patterns in Indian societies which are governed by some or the other probability distributions. Although child birth is a biological process but it is very much influenced by a number of social, economic, cultural and psychological factors. Numerous demographers have proposed mathematical models to predict the number of male and female births during a given time period taking into consideration the various factors. Traditionally, estimating current levels and future trends of mean number of births is done using various life tables, cohort-component method, time-series analysis, micro-simulations, structural modeling, expert analysis, historical error analysis and also using an appropriate probability model and testing the model on real data. In the present study we developed a model for estimating the mean number of children ever born through the join probability distribution with its application for male births among the females of Uttar Pradesh and Bihar. The reasons of selecting these two states were their huge population and high total fertility rates. The model fits to the data of these two states, therefore it would be a good fit for the other states too, which shows the efficiency and applicability of the model. The applicability of this model has been illustrated on real data obtained from the National Family Health Survey-3 (2005–06). The various estimates of the parameters have been obtained by using the method of moments and suitability of the proposed model has been tested using the ‘goodness of fit’ criteria.","PeriodicalId":42526,"journal":{"name":"Journal of Reliability and Statistical Studies","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-06-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47986837","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Reliability Structures Consisting of Weighted Components: Synopsis and New Advances","authors":"I. Triantafyllou","doi":"10.13052/jrss0974-8024.1612","DOIUrl":"https://doi.org/10.13052/jrss0974-8024.1612","url":null,"abstract":"Throughout the lines of the present article the family of reliability systems consisting of weighted components is examined. A synoptic exposition of the existing reliability structures with n weighted components is carried out. Among others, some newfangled and crucial points for every structure that belongs to this class are reported. In addition, a new weighted consecutive-type structure is introduced, while its characteristics are also studied in some detail.","PeriodicalId":42526,"journal":{"name":"Journal of Reliability and Statistical Studies","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-05-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47647426","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}