{"title":"Economic Design of Quick Switching Sampling System for Resubmitted Lots under Gamma-Poisson Distribution","authors":"M. Usha, S. Balamurali","doi":"10.1080/01966324.2021.1903369","DOIUrl":null,"url":null,"abstract":"Abstract In this paper, a method of designing quick switching sampling system for resubmitted lots for inspection of attribute quality characteristics based on the gamma-Poisson distribution is proposed. We determine the required parameters by using two-points on the operating characteristic curve approach such that both producer’s and the consumer’s risks are satisfied for some specified values of acceptable quality level and limiting quality level. Tables are constructed for optimal sample size and two acceptance numbers of the proposed sampling system. The relative efficiency of the proposed system over conventional plans is also discussed. In addition, an economic design of the above mentioned sampling system to minimize total cost is also investigated. Consequently, it is proved that the proposed system minimizes the total inspection cost and average total inspection.","PeriodicalId":35850,"journal":{"name":"American Journal of Mathematical and Management Sciences","volume":"41 1","pages":"24 - 37"},"PeriodicalIF":0.0000,"publicationDate":"2021-04-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/01966324.2021.1903369","citationCount":"3","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"American Journal of Mathematical and Management Sciences","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1080/01966324.2021.1903369","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Business, Management and Accounting","Score":null,"Total":0}
引用次数: 3
Abstract
Abstract In this paper, a method of designing quick switching sampling system for resubmitted lots for inspection of attribute quality characteristics based on the gamma-Poisson distribution is proposed. We determine the required parameters by using two-points on the operating characteristic curve approach such that both producer’s and the consumer’s risks are satisfied for some specified values of acceptable quality level and limiting quality level. Tables are constructed for optimal sample size and two acceptance numbers of the proposed sampling system. The relative efficiency of the proposed system over conventional plans is also discussed. In addition, an economic design of the above mentioned sampling system to minimize total cost is also investigated. Consequently, it is proved that the proposed system minimizes the total inspection cost and average total inspection.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
