{"title":"An advanced acceptance reliability sampling plan for heterogeneous items subject to external shocks","authors":"J. Cha, M. Finkelstein","doi":"10.1093/imaman/dpad010","DOIUrl":null,"url":null,"abstract":"\n In practice, many engineering items have more than one failure mode, whereas most of the existing reliability acceptance sampling plans reported in the literature assume that they have only one basic failure mode. To fill the gap, in this paper, we propose a reliability sampling plan for items with an additional failure mode that is due to external shocks. Moreover, heterogeneous populations of items are considered when items’ lifetime distributions differ from subpopulation to subpopulation. A new two-stage reliability sampling plan that takes into account these factors is developed and lifetimes of items in a population before and after the acceptance test are stochastically compared. It is shown that the developed sampling plan improves the reliability characteristic of the population.","PeriodicalId":56296,"journal":{"name":"IMA Journal of Management Mathematics","volume":" ","pages":""},"PeriodicalIF":1.9000,"publicationDate":"2023-05-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"IMA Journal of Management Mathematics","FirstCategoryId":"5","ListUrlMain":"https://doi.org/10.1093/imaman/dpad010","RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MANAGEMENT","Score":null,"Total":0}
引用次数: 0
Abstract
In practice, many engineering items have more than one failure mode, whereas most of the existing reliability acceptance sampling plans reported in the literature assume that they have only one basic failure mode. To fill the gap, in this paper, we propose a reliability sampling plan for items with an additional failure mode that is due to external shocks. Moreover, heterogeneous populations of items are considered when items’ lifetime distributions differ from subpopulation to subpopulation. A new two-stage reliability sampling plan that takes into account these factors is developed and lifetimes of items in a population before and after the acceptance test are stochastically compared. It is shown that the developed sampling plan improves the reliability characteristic of the population.
期刊介绍:
The mission of this quarterly journal is to publish mathematical research of the highest quality, impact and relevance that can be directly utilised or have demonstrable potential to be employed by managers in profit, not-for-profit, third party and governmental/public organisations to improve their practices. Thus the research must be quantitative and of the highest quality if it is to be published in the journal. Furthermore, the outcome of the research must be ultimately useful for managers. The journal also publishes novel meta-analyses of the literature, reviews of the "state-of-the art" in a manner that provides new insight, and genuine applications of mathematics to real-world problems in the form of case studies. The journal welcomes papers dealing with topics in Operational Research and Management Science, Operations Management, Decision Sciences, Transportation Science, Marketing Science, Analytics, and Financial and Risk Modelling.