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Three New Multivariate Process Capability Indices
Authors:Mohammad R Niavarani  Rassoul Noorossana  Babak Abbasi
Institution:1. Department of Mechanical and Manufacturing Engineering , The University of Melbourne , Melbourne , Australia m_r_niavarani@yahoo.com;3. Industrial Engineering Department , Iran University of Science and Technology , Tehran , Iran;4. School of Mathematical and Geospatial Sciences , RMIT University , Melbourne , Australia
Abstract:Different multivariate process capability indices are developed by researchers to evaluate process capability when vectors of quality characteristics are considered in a study. This article presents three indices referred to as NCpM, MCpM, and NMC PM in order to evaluate process capability in multivariate environment. The performance of the proposed indices is investigated numerically. Simulation results indicate that the proposed indices have descended estimation error and improved performance compared to the existing ones. These results can be important to researchers and practitioners who are interested in evaluating process capability in multivariate domain.
Keywords:Control ellipse  Multivariate normal distribution  Multivariate process capability index  Statistical process control
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