Minimax risk strategy for‎ ‎testing capability

Process capability indices are used widely throughout the world to give a quick indication of a process capability in a format that is easy to use and understand. A process capability index Cp that con- structed for measuring the quality is an e ective tool for assessing process capability, since this index can re ect whether a centering process is capa- ble of reproducing items meeting the speci cations limits. The minimax approach is proposed in this paper for testing capability on the basis of precision index Cp when the producer goal is avoiding the largest pos- sible risk. Motivations and benefits of proposing minimax approach are discussed for capability test. Also, the proposed method clarified by an industrial application.