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Optimal designing of two-level skip-lot sampling reinspection plan
Journal of Applied Statistics ( IF 1.5 ) Pub Date : 2020-11-25 , DOI: 10.1080/02664763.2020.1849059
N Murugeswari 1 , P Jeyadurga 1 , S Balamurali 2
Affiliation  

Skip-lot sampling plan is often applied in industries for reducing the cost and effort of the inspection of the product having excellent quality history. Consequence of skip-lot sampling plans is to reduce the cost of inspection so which are more attractive in economical aspect. In this paper, we develop a sampling plan by incorporating the idea of resampling in two-level skip lot sampling plan and the new plan is designated as SkSP-2L.1-R. This paper presents the Markov chain formulation of the proposed plan along with the derivation of performance measures of the plan. We also provide the designing methodology to determine the optimal parameters of the SkSP-2L.1-R plan so as to minimize the average sample number by using two points on the operating characteristic curve approach. By contemplating various combinations of producer and consumer quality levels along with respective risks, a table is constructed to determine the optimal parameters. An industrial application of the proposed SkSP-2L.1-R plan is discussed. The SkSP-2L.1-R with single sampling plan as a reference plan is compared with the conventional single sampling plan, SkSP-2 plan and SkSP-2-R plan and proved that the proposed SkSP-2L.1-R plan outperforms these plans.



中文翻译:

两级跳批抽样复检方案的优化设计

跳批抽样计划经常被应用在行业中,以减少对具有优良质量历史的产品的检验成本和工作量。跳批抽样计划的结果是降低检验成本,因此在经济方面更具吸引力。在本文中,我们通过在两级跳批抽样计划中结合重抽样的思想来制定抽样计划,新计划被指定为SkSP-2L.1-R。本文介绍了拟议计划的马尔可夫链公式以及该计划的绩效指标的推导。我们还提供了设计方法来确定 SkSP-2L.1-R 计划的最佳参数,以便通过使用操作特性曲线上的两点方法来最小化平均样本数。通过考虑生产者和消费者质量水平的各种组合以及各自的风险,构建了一个表格来确定最佳参数。讨论了拟议的 SkSP-2L.1-R 计划的工业应用。将单次抽样方案作为参考方案的 SkSP-2L.1-R 与常规单次抽样方案、SkSP-2 方案和 SkSP-2-R 方案进行比较,证明提出的 SkSP-2L.1-R 方案优于常规单次抽样方案、SkSP-2 方案和 SkSP-2-R 方案这些计划。

更新日期:2020-11-25
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