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两条生产线的可靠性评估使用联合逐步类型II审查的XLindley样本
I Elbatal1, Ahmed Elshahhat2, H E Semary1
1Department of Mathematics and Statistics, Faculty of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh, 11432, Saudi Arabia.
本研究评估了两条生产线的可靠性,使用来自XLindley分布的联合渐进式II型审查样本. 它比较了最大概率和贝叶斯式方法来估计参数和可靠性函数,帮助制造质量控制.
科学领域:
- 工程 工程师 工程师 工程师
- 统计 统计 统计 统计
- 制造业 制造业 制造业 制造业
背景情况:
- 评估生产线的可靠性对于制造效率和产品质量至关重要.
- 联合逐步类型II审查样本为可靠性分析提供了强大的方法.
研究的目的:
- 评估两个生产线的可靠性,使用来自XLindley分布的联合逐步类型II审查数据.
- 估计个人和组合生产线的未知参数和可靠性函数.
- 为了比较经典的基于概率和贝叶斯估计技术.
主要方法:
- 使用了从XLindley分布的联合渐进的II型审查样本.
- 员工最大概率估计 (MLE) 用于点估计.
- 应用贝叶斯推理与马尔科夫链蒙特卡洛 (MCMC) 在平方误差损失函数下.
- 研究了近似的置信区间,百分点启动区间和最高后密度可信区间.
- 考虑A-最佳性,D-最佳性和F-最佳性,以选择最佳的审查计划.
主要成果:
- 无论是MLE还是贝叶斯方法,都提供了对参数和可靠性函数的可靠估计.
- 模拟研究表明,在各种审查方案中,提出的方法的准确性和效率.
- 该方法使用两个真实世界的制造数据集进行了验证.
结论:
- 建议使用联合逐步类型II审查样本的可靠性评估框架对双重生产线有效.
- 该研究为优化制造流程和通过强大的可靠性分析提高产品质量提供了实际见解.
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