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Control Charts with Runs Rules for Poisson Process Data

SC IJPE 47

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)

Abstract:

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 = C_a / C_b, where C_a is the cost of a Type I error, and C_b 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