Control Charts with Runs Rules for Poisson Process Data
Volume 10, Number 6, September 2014 - SC 47 - pp. 659-661
JUSTIN R CHIMKA and HENG DUDepartment of Industrial Engineering, University of Arkansas, Fayetteville, AR 72701, U.S.A.
(Received on April 7, 2014; revised on June 20, 2014)
We use Markov chains to compare run lengths of Poisson process individuals control charts with and without runs rules. Evidence quantifies the advantage of runs rules for certain cost structures z = Ca / Cb, where Ca is the cost of a Type I error, and Cb is the cost of a Type II error, and different shifts from in-control parameter l1 to out-of-control parameter l2.
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