A Model for Evaluating and Analyzing Process Capability in Multi-Quality-Characteristic Products

Kuen-Suan Chen, Chien-Hsin Cheng, Chia-Pao Chang, Kai-Chao Yao () and Chun-Min Yu ()
Additional contact information
Kuen-Suan Chen: Department of Industrial Engineering and Management, National Chin-Yi University of Technology, Taichung 411030, Taiwan
Chien-Hsin Cheng: Department of Electrical and Mechanical Technology, National Changhua University of Education, Changhua 50074, Taiwan
Chia-Pao Chang: Department of Industrial Engineering and Management, National Chin-Yi University of Technology, Taichung 411030, Taiwan
Kai-Chao Yao: Department of Electrical and Mechanical Technology, National Changhua University of Education, Changhua 50074, Taiwan
Chun-Min Yu: Department of Industrial Engineering and Management, National Chin-Yi University of Technology, Taichung 411030, Taiwan

Mathematics, 2025, vol. 13, issue 21, 1-16

Abstract: A segment of the machine tool industry in Taiwan specializes in manufacturing equipment tailored to the semiconductor sector. Due to the stringent quality requirements inherent in semiconductor manufacturing processes, the machine tools employed in these processes are also subject to correspondingly rigorous quality standards. In fact, a machine tool is assembled from hundreds of individual components, each of which must meet the required standards to ensure that the final product adheres to overall quality requirements. Similarly, each component possesses multiple quality characteristics, all of which must individually satisfy the specified criteria to guarantee that the component achieves the required quality level. Clearly, without a comprehensive evaluation model, ensuring final product quality is difficult. To address this practical issue, this study employed the Process Capability Index (PCI), the most widely used process capability index in the industry, and based on statistical verification principles, constructed a quality assessment and analysis model applicable to products with multiple quality characteristics. This approach enables process engineers to simultaneously evaluate all product quality characteristics and determine whether they meet the desired quality standards. For products that do not meet the expected quality standards, improvement directions are proposed, and improvement decisions are made based on cost and economic benefits, thereby ensuring final product quality. This study concludes with a real-world case study to illustrate the application of the proposed model, making it easier for relevant industries to apply the model.

Keywords: process capability index; quality characteristic; process parameter; evaluation coordinate; process capability evaluation and analysis chart (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
References: Add references at CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/13/21/3467/pdf (application/pdf)
https://www.mdpi.com/2227-7390/13/21/3467/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:13:y:2025:i:21:p:3467-:d:1783594

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().