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首页> 外文期刊>Mathematical Problems in Engineering >Sampling Schemes by Variables Inspection for the First-Order Autoregressive Model between Linear Profiles
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Sampling Schemes by Variables Inspection for the First-Order Autoregressive Model between Linear Profiles

机译：线性轮廓之间一阶自回归模型的变量检验抽样方案

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摘要

We present four new sampling schemes by variables inspection to deal with the first-order autoregressive model between linear profiles. The first plan is based on exponentially weighted moving average (EWMA) and the rest of three plans are using the resubmitted sampling, repetitive group sampling (RGS), and multiple dependent state (MDS) sampling schemes. The nonlinear optimization problem is developed to find the number of profiles and the corresponding acceptance criteria, such that the producer's and consumer's risk are satisfied simultaneously. The efficiency of the proposed plans is compared with the conventional single sampling plan in terms of average sample number and the probability of acceptance. The result implies that all of the proposed sampling plans are superior to the single acceptance sampling plan by variables. In addition, the EWMA method appeared to be better than the others. The applications of proposed plans are shown with the help of industrial examples taken from calibration of an optical imaging system, and tire cornering stiffness test.
机译：我们通过变量检查提出了四个新的抽样方案，以处理线性轮廓之间的一阶自回归模型。第一个计划基于指数加权移动平均值（EWMA），其余三个计划都使用重新提交的采样，重复组采样（RGS）和多从属状态（MDS）采样方案。开发非线性优化问题以找到轮廓的数量和相应的验收标准，从而同时满足生产者和消费者的风险。在平均样本数和接受概率方面，将拟议计划的效率与常规单一抽样计划进行了比较。结果表明，所有建议的抽样计划在变量方面均优于单一验收抽样计划。此外，EWMA方法似乎比其他方法更好。借助从光学成像系统校准和轮胎转弯刚度测试中获得的工业示例，展示了拟议计划的应用。

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