Journal
IIE TRANSACTIONS
Volume 48, Issue 1, Pages 1-15Publisher
TAYLOR & FRANCIS INC
DOI: 10.1080/0740817X.2015.1027455
Keywords
Geometric quality; Gaussian process; T-2 test; generalized likelihood ratio test
Funding
- National Natural Science Foundation of China [71471096, 71072012]
- Singapore AcRF [R-266-000-078-112]
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The geometric quality of a wafer is an important quality characteristic in the semiconductor industry. However, it is difficult to monitor this characteristic during the manufacturing process due to the challenges created by the complexity of the data structure. In this article, we propose an Additive Gaussian Process (AGP) model to approximate a standard geometric profile of a wafer while quantifying the deviations from the standard when a manufacturing process is in an in-control state. Based on the AGP model, two statistical tests are developed to determine whether or not a newly produced wafer is conforming. We have conducted extensive numerical simulations and real case studies, the results of which indicate that our proposed method is effective and has potentially wide application.
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