IJSREG Trion Studio

No Publication Cost

Vol 10, No 2:

subscription

Applications of Process Capability Indices for Supplier’s Selection Problems using Bootstrap Confidence Interval
Abstract
The bootstrap confidence interval method has been used often in various research articles to analyze process capabilities. The standard bootstrap (S-boot) and percentile bootstrap (P-boot) confidence intervals of the difference between two process capability indices δ′ were used in this article to take into account the supplier selection problem. The use of maximum likelihood method of estimation has been made to estimate δ′. In addition, using Monte Carlo simulation, the average widths (AW) of the standard bootstrap (S-boot) and percentile bootstrap (P-boot) of δ′ have been used. The supplier's selection problem's approach has been re- analyzed using the bootstrap confidence interval method using two real data sets.
Full Text
PDF
References
1. C.J. Lin and W.L. Pearn; Process Selection for Higher Production Yield based on Capability Index Spk. Quality and Reliability Engineering International, 26(3), 247-258 (2010).
2. C. Park; S. Dey; L. Ouyang; J.H. Byun and M. Leeds; Improved Bootstrap Confidence Intervals for the Process Capability Index Cpk. Communications in Statistics-Simulation and Computation, 49(10), 2583-2603 (2020).
3. C.T. Hsiang and G. Taguchi; A Tutorial on Quality Control and Assurance-The TAGUCHI Methods. In ASA Annual Meeting Las Vegas, Nevada (1985).
4. D. Zhao; J. Xiong; Y. Xu and W.H. Chan; Acid Rain in Southwestern China. Atmos. Environ. (United Kingdom), 22(2), 349-358 (1988).
5. J.M. Juran; F.M. Gryna and R.S. Bingham; Quality Control Handbook (Vol. 3). New York: McGraw-Hill (1974).
6. K. Vännman; A Unified Approach to Capability Indices. Statistica Sinica, 5(2), 805-820 (1995).
7. L.I. Tong and J.P. Chen; Bootstrap Confidence Interval of the Difference between Two Process Capability Indices. The International Journal of Advanced Manufacturing Technology, 21(4), 249-256 (2003).
8. M.D. Chou and M.J. Suarez; An Efficient Thermal Infrared Radiation Parameterization for Use in General Circulation Models. NASA Technical Memorandum No. 104606, Vol. 3 (1994).
9. M. Kashif; M. Aslam; G.S. Rao; A.H. AL-Marshadi and C.H. Jun; Bootstrap Confidence Intervals of the Modified Process Capability Index for Weibull Distribution. Arabian Journal for Science and Engineering, 42(11), 4565-4573 (2017).
10. M. Saha; S. Kumar; S.S. Maiti, A.S. Yadav and S. Dey; Asymptotic and Bootstrap Confidence Intervals for the Process Capability Index Cpy based on Lindley Distributed Quality Characteristic. American Journal of Mathematical and Management Sciences, 39(1), 75-89 (2020).
11. M. Saha; Applications of a New Process Capability Index to Electronic Industries. Communication in Statistics: Case Studies, Data Analysis and Applications, 8(4), 1-14 (2022).
12. N.L. Johnson; S. Kotz and W.L. Pearn; Flexible process capability indices. North Carolina State University. Dept. of Statistics (1992).
13. R.A. Boyles; Process Capability with Asymmetric Tolerances. Communications in Statistics-Simulation and Computation, 23(3), 615-635 (1994).
14. R. Ihaka and R. Gentleman; R: A Language for Data Analysis and Graphics. Journal of Computational and Graphical Statistics, 5(3), 299-314 (1996).
15. S. Dey and M. Saha; Bootstrap Confidence Intervals of Generalized Process Capability Index Cpyk using Different Methods of Estimation. Journal of Applied Statistics, 46(10), 1843-1869 (2019).
16. S. Dey and M. Saha; Bootstrap Confidence Intervals of Process Capability Index Spmk using Different Methods of Estimation. Journal of Statistical Computation and Simulation, 90(1), 28-50 (2020).
17. S. Kumar; S. Dey and M. Saha; Comparison between Two Generalized Process Capability Indices for Burr XII Distribution using Bootstrap Confidence Intervals. Life Cycle Reliability and Safety Engineering, 8(4), 347-355 (2019).
18. S.R. Daniels; D.K. Arnett; R.H. Eckel; S.S. Gidding; L.L. Hayman; S. Kumanyika; ... and C.L. Williams; Overweight in Children and Adolescents: Pathophysiology, Consequences, Prevention, and Treatment. Circulation, 111(15), 1999-2012 (2005).
19. T. Mathew; G. Sebastian and K.M. Kurian; Generalized Confidence Intervals for Process Capability Indices. Quality and Reliability Engineering International, 23(4), 471-481 (2007).
20. V.E. Kane; Process Capability Indices. Journal of Quality Technology, 18(1), 41-52 (1986).
21. W.L. Pearn and C.S. Chang; Precision Measures for Processes with Multiple Manufacturing Lines. The International Journal of Advanced Manufacturing Technology, 30(11-12), 1202-1210 (2006).

ISSN(P) 2350-0174

ISSN(O) 2456-2378

Journal Content
Browser