A Bayesian approach to sequential assembly experiments

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1992
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Lemke, Klaus
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Stephen B. Vardeman
John K. Jackman
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Statistics
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Abstract

Sequential assembly experiments aim at identifying important sources of variability in performance attributable to component parts of an assembly with a few successive assembly tests. A test consists of a single- or multiple-part exchange on an assembly followed by unit reassembly and performance measurement. Two fundamentally different prescriptions for sequential experimentation with assemblies are developed. These are a Bayesian "look-ahead" heuristic and a "swapping" heuristic which is related to a technique currently used by practitioners;This study investigates and compares the characteristics of the heuristics through computer simulations. The context of this study is a linear random effects model for a three-part assembly with a single important source of variability. In addition, costs of experimental actions and a decision cost regarding the unknown identity of the important source are considered. The problem being addressed is determining whether one heuristic dominates the other in terms of criteria such as the success rate and total cost.

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Wed Jan 01 00:00:00 UTC 1992