00118 ð3ad6b6654f70806e5a217dbf95ccf4

118

McWilliams

a =    Pr{exceeding contro] limits | process in control}

p =    Pr{exceeding control limits | process out of control}

ARL1 = average run length while in control

= Ma when the measured statistics are independent ARL2 = average run length while out of control

= Mp when the measured statistics are independent ATS = average time to signal an expected shift

= h!p when the measured statistics are independent ECL = expected length of a Ä…uality cycle

References

Baneijee, P.K. and Rahim, M.A (1988). "Economic Design of X-Control Charts Under Weibull Shock Models," Technometrics, 30, 407-414.

Chiu, W.K. (1975). "Economic Design of Attribute Control Charts," Technometrics, 17, 81-87.

Chiu, W.K. (1976). "Economic Design of np Charts for Process Subject to a Multiplicity of Assignable Causes," Management Science, 23, 404—411.

Chiu, W.K. and Wetherill,_G.B. (1974). "A Simplified Scheme for the Economic Design of X -Charts," Journal of Quality Technology, 6, 63-69.

Duncan, A.J. (1956). "The Economic Design of X-Charts Used to Maintain Current Control of a Process," Journal of the American Statistical Association, 51, 228-242.

Duncan, A.J. (1971). "The Economic Design of X-Charts When There Is a Multiplicity of Assignable Causes," Journal of the American Statistical Association, 66, 107-121.

Duncan, A.J. (1978). "The Economic Design of p-Charts to Maintain Current Control of a Process: Some Numerical Results," Technometrics, 20, 235-243.

Gibra, I.N. (1978). "Economically Optimal Determination of the Parameters of wp-Control Charts," Journal of Quality Technology, 10, 12-19.