Economical Operation of the C_<pm> Control Chart for Monitoring Process Capability Index

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Other Title
  • 工程能力指数の管理のためのC_<pm>管理図の経済的運用法
  • 工程能力指数の管理のためのCpmの管理図の経済的運用法
  • コウテイ ノウリョク シスウ ノ カンリ ノ タメノ Cpm ノ カンリズ ノ ケイザイテキ ウンヨウホウ

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Abstract

Process capability indices are widely used to provide evaluation measures of process potential and performance. Especially, the process capability index C_<pm>, which is defined by the tolerance and deviation from the target, is called the Taguchi index. Boyles investigated the statistical characteristics of the C_<pm>, estimator, and also proposed a methodology for the C_<pm> control chart. Needless to say, since the process capability index C_<pm> is based on the concept of the quality loss introduced by Taguchi, it basically relates to the concept of cost performance. In this article, we consider the economical operation of the C_<pm> control chart in conformity with the expected total operation cost function based on the sampling cost, the sample cost and the surplus loss by means of ignoring the out-of-control state. Then, the economical operation of the C_<pm> control chart minimizing the total operation cost is investigated.

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