Optimal sequencing of inspection of dependent characteristics

Optimal sequencing of inspection of dependent characteristics

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Article ID: iaor20002616
Country: United States
Volume: 103
Issue: 3
Start Page Number: 557
End Page Number: 565
Publication Date: Dec 1999
Journal: Journal of Optimization Theory and Applications
Authors: ,
Keywords: programming: assignment
Abstract:

We address the problem of sequentially inspecting the dependent characteristics of a product, where the dependency is expressed in terms of the joint probabilities of the fitness of the characteristics. We show that, even when the inspection has classification errors, the joint probability mass function of the observed fitness of the characteristics is independent of the sequence of inspection. Using this result, a dynamic programming approach is presented for finding the optimal sequence that minimizes the expected total cost of inspection. Previously reported policies for independent characteristics are shown to be special cases of the results presented here.

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