SIMULTANEOUS ACCEPTANCE CONTROL CHARTS FOR PRODUCTS WITH MULTIPLE CORRELATED CHARACTERISTICS

Acceptance control charts establish control limits based on specificat ion limits for very capable processes where the mean is permitted to v ary. This paper deals with designing such charts when a product has tw o or more correlated characteristics that must all simultaneously conf orm to specification limits for the product to be acceptable. We exten d past work by solving the general correlated multivariate case, and b y allowing a more general hypothesis test. We find the control limits and sample sizes for each characteristic that minimize sampling costs. The problem is a convex nonlinear optimization problem, and optimal s olutions are found using multidimensional search.