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Control Charts with Runs Rules for Poisson Process Data


Justin R Chimka and Heng Du

Department 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.


Status: Published in the September 2014 issue


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