Economic X̄ Charts with Asymmetric Control Limits
Economic X̄ Charts with Asymmetric Control Limits
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DOI：
10.1080/00224065.1989.11979163
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发表时间：
1989-07
影响因子：
2.5
通讯作者：
George Tagaras
中科院分区：
文献类型：
--
作者：
George Tagaras
当假设，如过程平均值向上或向下移动的概率相等，完美的测量，和恒定的过程变异性放宽，一个合理的替代传统的单一可分配的原因变量控制图似乎是X图的控制限在不相等的距离中心线。研究了非对称控制限X图的统计特性和经济设计，并与传统控制限X图进行了比较。据发现，虽然假设的概率相等的向上或向下移动和完美的测量是至关重要的估计的操作特性和控制限制的位置的最佳选择，恒定的可变性的假设并没有明显的效果。
When assumptions such as equal probability of shift of process mean upwards or downwards, perfect measurement, and constant process variability are relaxed, a reasonable alternative to traditional single assignable cause variables control charts seems to be X charts with control limits at unequal distances from the central line. The statistical properties and the economic design of X charts with asymmetric control limits are studied and compared to those of traditional charts. It is found that while the assumptions of equal probability of upward or downward shift and of perfect measurement are critical to the estimation of operational characteristics and the optimal choice of control limits location, the assumption of constant variability does not have as noticeable an effect.