Multivariate incapability index for high technology manufacturing processes in presence of the measurement errors: A case study in electronic industry

Subject Areas : Statistical Quality Control

Hossein Shirani Bidabadi ¹ , Davood Shishebori ² , Ahmad Ahmadi Yazdi ³

1 - Department of Industrial Engineering, Yazd University, Yazd, Iran.
2 - Department of Industrial Engineering, Yazd University, Yazd, Iran
3 - Department of Industrial Engineering, Yazd University, Yazd, Iran.

Received: 2021-02-17 Accepted : 2021-05-26 Published : 2021-03-01

Keywords:

References:

1. Vännman K. A unified approach to capability indices.
   Statistica Sinica. 1995;5:805-820.

 

2.  Chen KS, Pearn WL. Capability indices for processes
with asymmetric tolerances. Journal of Chinese of
Institute of Engineers. 2001;24(5):559-568.

3. Franklin LA, Wasserman G. Bootstrap lower confidence
limits for capability indices. Journal of Quality
Technology. 1992;24(4):196-210.

4. Kane VE. Process capability indices. Journal of Quality
Technology. 1986;18(1):41-52.

5. Kushler RH, Hurley P. Confidence bounds for capability
indices. Journal of Quality Technology. 1992;24(4):188-
195.

6. Abbasi GZ, Sadeghpour GB. A class of process
capability indices for asymmetric tolerances. Quality
Engineering. 2016;28(4):441-454.

7. Taam W, Subbaiah P, Liddy JW. A note on multivariate
capability indices. Journal of Applied Statistics.
1993;20(3):339-351.
8. Shahriari H, Hubele NF, Lawrence FP. A multivariate
process capability vector. 4th Industrial Engineering
Research Conference; 1995; Nashville, Tennesse. 304-
309.
9. Hubele NF, Shahriari H, Cheng CS. A bivariate process
Capability vector. In: Keats JB, Montgomery DC, eds.
Statistical Process Control in Manufacturing. New York:
Marcel Dekker; 1991:299-310.
10. Pearn WL, Kotz S. Encyclopedia and handbook of
process capability indices, Series on Quality, Reliability
and Engineering Statistics, vol. 12. Singapore: World
Scientific Publishing; 2006.
11. Shahriari H, Abdollahzadeh M. A new multivariate
process capability vector. Quality Engineering. 2009;
21(3):290-299.
12. Abbasi Ganji Z, Sadeghpour Gildeh B. A modified
multivariate process capability vector. The International
Journal of Advanced Manufacturing Technology.
2016;83:1221-1229.
13. Greenwich M, Jahr‐Schaffrath BL. A process
incapability index. International Journal of Quality &
Reliability Management. 1995;12:58-71.
14. Chan LK, Cheng SW, Spiring FA. A new measure of
process capability: Cpm. Journal of Quality Technology.
1988;20(3):162-175.
15. Chen KS. Incapability index with asymmetric tolerances.
Statistica Sinica. 1998;8:253-262.
16. Ganji ZA. Multivariate process incapability vector.
Quality and Reliability Engineering International.
2019;35(4):902-919.
17. Maleki MR, Amiri A, Castagliola P. Measurement errors
in statistical process monitoring: a literature review.
Computers & Industrial Engineering. 2017;103:316-329.
18. Sadeghpour Gildeh B, Abbasi Ganji Z. The effect of
measurement error on the process incapability index.
Communication in Statistics - Theory and Methods.
2020;49(3):552-566.
19. Searle SR, Kuri AI. Matrix Algebra Useful for Statistics,
Wliey Series in Probability and Statistics, 2 edition. New
York, United States: John Wiley & Sons Inc Publishing;
2017.
20. Ouyang LY, Hsu CH, and Yang CM. A new process
capability analysis chart approach on the chip resistor
quality management. Proceedings of the Institution of
Mechanical Engineers, Part B: Journal of Engineering
Manufacture. 2013;227(7):1075-1082.
21. Shishebori D, Hamadani AZ. Properties of multivariate
process capability in the presence of gauge measurement
errors and dependency measure of process variables.
Journal of Manufacturing Systems. 2010;29(1):10-18.
22. Jackson JE. Quality control methods for two related
variables. Industrial Quality Control. 1956;12(7):4-8.