77.
This paper proposes useful exact bounds for the parameters of the double sampling
S2 chart with
known process variance and it also investigates the properties of the double sampling
S2 chart with
estimated process variance, in terms of the average run length, the standard deviation of the run length and the average sample size, providing a numerical comparison with the
known process variance case. It also provides guidelines to systematically design the double sampling
S2 chart both with
known and
estimated process variance and proposes two optimal design procedures with estimated process variance, for (a) minimizing the out-of-control average run length and (b) minimizing the out-of-control average sample size.
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