Economic statistical design of x̄ control charts for systems with gamma (λ, 2) in-control times

Journal of Applied Statistics

Volumn 30, Issue 4, 2003, Pages 397-409

  Al Oraini, Hajaj A ^a   Rahim, M A ^b  

^a KING FAHD UNIVERSITY OF PETROLEUM AND MINERALS   (Saudi Arabia)

^b UNIVERSITY OF NEW BRUNSWICK   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

STATISTICAL ANALYSIS;

EID: 0037401467     PISSN: 02664763     EISSN: None     Source Type: Journal    
DOI: 10.1080/0266476032000035430     Document Type: Article

References (33)

1. BANERJEE, P. K. & RAHIM, M. A. (1987) The economic design of control charts: a renewal theory approach, Engineering Optimization, 12, pp. 63-73.
2. BANERJEE, P. K. & RAHIM, M. A. (1988) Economic design of x̄ control charts under Weibull shock models, Technometrics, 30, pp. 407-414.
3. CHIU, W. K. & WETHERILL, G. B. (1974) A simplified scheme for the economic design of x̄-charts, Journal of Quality Technology, 6, pp. 63-69.
4. COLLANI, E. V. (1986) A simple procedure to determine the economic design of an x̄ control chart, Journal of Quality Technology, 18, pp. 145-151.
5. DUNCAN, A. J. (1956) The economic design of x̄-charts used to maintain current control of a process, Journal of the American Statistical Association, 51, pp. 228-242.
6. GIBRA, I. N. (1975) Recent developments in control charts techniques, Journal of Quality Technology, 7, pp. 183-192
7. GIRSHICK, M. A. & RUBIN, H. (1952) A Bayes approach to a quality control model, Annals of Mathematical Statistics, 23, pp. 114-125.
8. 2 control charts, AIIE Transactions, 6, pp. 55-61.
9. HO, C. & CASE, K. E. (1994) Economic design of control charts: a literature review for 1981-1991, Journal of Quality Technology, 26(1), pp. 39-53.
10. HOOKE, R. & JEEVES, T. A. (1961) Direct search solution of numerical and statistical problems, Journal of the Association for Computing Machinery, 8, pp. 212-229.
11. KEATS, J. B., DELCASTILLO, E. & SANIGA, E. M. (1997) Economic modeling for statistical process control, Journal of Quality, 29(2), pp. 144-147.
12. LINDERMAN, K. & LOVE, T. E. (2000a) Economic and economic statistical designs for MEWMA control charts, Journal of Quality Technology, 32(4), pp. 410-417.
13. LINDERMAN, K. & LOVE, T. E. (2000b) Implementing economic and economic statistical designs for MEWMA control charts, Journal of Quality Technology, 32(4), pp. 457-463.
14. LORENZEN, T. J. & VANCE, L. C. (1986) The economic design of control charts: a unified approach, Technometrics, 28, pp. 3-10.
15. MCWILLIAMS, T. P. (1994) Economic, statistical, and economic-statistical x̄ charts designs, Journal of Quality Technology, 26(3), pp. 227-238.
16. MCWILLIAMS, T. P., SANIGA, E. M. & DAVIS, D. J. (2001) Economic-statistical design of x̄ and R or x̄ and S charts, Journal of Quality Technology, 33(2), pp. 234-241.
17. MOLNAU, W. E., MONTGOMERY, D. C. & RUNGER, G. C. (2001a) Statistically constrained economic design of the multivariate exponentially weighted moving average control chart, Quality and Reliability Engineering International, 17(1), pp. 39-49.
18. MOLNAU, W. E., RUNGER, G. C., MONTGOMERY, D. C., SKINNER, K. R., LEOREDO, E. N. & PRABHU, S. S. (2001b) A program for ARL calculation for multivariate EWMA charts, Journal of Quality Technology, 33(4), pp. 515-521.
19. MONTGOMERY, D. C. (1980) The economic design of control charts: a review and literature survey, Journal of Quality Technology, 12, pp. 75-87.
20. MONTGOMERY, D. C., TORNG, J. C., COCHRAN, J. K. & LAWRENCE, F. P. (1995) Statistically constrained economic design of the EWMA control chart, Journal of Quality Technology, 27, pp. 250-256.
21. PRABHU, S. S., MONTGOMERY, D. C. & RUNGER, G. C. (1997) Economic-statistical design of an adaptive x̄ chart, International Journal or Production Economics, 49, pp. 1-15.
22. RAHIM, M. A. (1993) Economic design of x̄-control charts assuming Weibull in-control times, Journal of Quality Technology, 25, pp. 296-305.
23. RAHIM, M. A. & BANERJEE, P. K (1993) A generalized model for economic design of x̄-control charts for production systems with increasing failure rate and early replacement, Naval Research Logistics, 40, pp. 787-809.
24. SANIGA, E. M. (1989) Economic statistical control chart designs with an application to x̄ and R charts, Technometrics, 31, pp. 313-320.
25. SANIGA, E. M., DAVIS, D. J. & MCWILLIAMS, T. P. (1995) Economic, statistical, and economic-statistical design of attribute charts, Journal of Quality Technology, 27(2), pp. 56-73.
26. SVOBODA, L. (1991) Economic design of control charts: a review and literature survey (1979-1989). In: J. B. KEATS & D. C. MONTGOMERY (Eds) Statistical Process in Manufacturing, pp. 311-330 (New York, Marcel Dekker).
27. TAYLOR, H. M. (1965) Markovian sequential replacement processes, Annals of Mathematical Statistics, 36, pp. 1677-1694.
28. TAYLOR, H. M. (1967) Statistical control of a Gaussian process, Technometrics, 9, pp. 29-41.
29. TORNG, J. C.-C., COCHRAN, J. K., MONTGOMERY, D. C. & LAWRENCE, F. P. (1995) Implementing statistical constrained economic EWMA control charts, Journal of Quality Technology, 27, pp. 257-264.
30. VANCE, L. C. (1983) A bibliography of statistical quality control chart techniques, 1970-1980, Journal of Quality Technology, 15(2), pp. 59-62.
31. WOODALL, W. H. (1985) The statistical design of quality control charts, The Statistician, 34, 155-160.
32. WOODALL, W. H. (1986) Weakness of the economic design of control charts, Technometrics, 28, pp. 408-410.
33. ZHANG, G. & BERARDI, V. (1997) Economic statistical design of x̄ control charts for systems with Weibull in-control times, Computers and Industrial Engineering, 32(3), pp. 575-586.