A renewal theory approach is proposed to derive the cost model for mul
tiple dependent subprocesses. The optimal individual Y control chart a
nd multiple cause-selecting control chart are thus constructed to moni
tor the overall product quality and specific product quality contribut
ed by the multiple dependent subprocesses. They can be used to maintai
n the process with minimum cost and effectively distinguish which comp
onent of the subprocesses is out of control. The optimal design parame
ters of the proposed control charts can be determined by minimizing th
e cost model using a simple grid search method. An example is given to
illustrate the application of the optimal individual Y control chart
and multiple cause-selecting control chart. (C) 1998 John Wiley & Sons
, Ltd.