Economic statistical design of non-uniform sampling scheme X bar control charts under non-normality and Gamma shock using genetic algorithm

Expert Systems with Applications

Volumn 36, Issue 5, 2009, Pages 9488-9497

  Chen, F L ^a   Yeh, C H ^a  

^a NATIONAL TSING HUA UNIVERSITY   (Taiwan)

Author keywords

Control charts; Economic statistical design; Genetic algorithm; Non normal distribution; Non uniform sampling

Indexed keywords

DESIGN; FLOWCHARTING; GENETIC ALGORITHMS; GRAPHIC METHODS; NORMAL DISTRIBUTION; SAMPLING; SENSITIVITY ANALYSIS; STATISTICAL PROCESS CONTROL;

BAR CHARTS; BURR DISTRIBUTIONS; CONTROL CHARTS; CONTROL LIMITS; DESIGN PARAMETERS; ECONOMIC STATISTICAL DESIGN; FAILURE CHARACTERISTICS; KURTOSIS COEFFICIENTS; MANUFACTURING PROCESS; NON NORMALITIES; NON-NORMAL DATUM; NON-NORMAL DISTRIBUTION; NON-UNIFORM SAMPLING; SAMPLE SIZES; SAMPLING INTERVALS; SKEWNESS COEFFICIENTS; SOLUTION PROCEDURES; THREE PARAMETERS;

GENETIC ENGINEERING;

EID: 60849089888     PISSN: 09574174     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.eswa.2009.01.018     Document Type: Article

References (45)

1. Al-Oraini H.A., and Rahim M.A. Economic statistical design of over(X, -) control charts for systems with Gamma (λ, 2) in-control times. Journal of Applied Statistics 30 (2003) 397-409
2. Baker K.R. Two process models in economic design of an over(X, -) chart. AIIE Transactions 3 (1971) 257-263
3. Baker B.M., and Ayechew M.A. A genetic algorithm for the vehicle routing problem. Computers and Operations Research 30 5 (2003) 787-800
4. Banerjee P.K., and Rahim M.A. Economic design of over(X, -) control charts under Weibull shock models. Technometrics 30 4 (1988) 407-414
5. Burr I.W. The effect of non-normality on constants for over(X, -) and R charts. Industrial Quality Control (1942) 563-569
6. Chen Y.K. An evolutionary economic-statistical design for VSI over(X, -) control charts under non-normality. The International Journal of Advanced Manufacturing Technology 22 (2003) 602-610
7. 2 control charts-A hybrid Markov Chain approach with genetic algorithms. Expert Systems with Applications 33 (2007) 683-689
8. Chen H.F., and Cheng Y.Y. Non-normality effects on the economic-statistical design of over(X, -) charts with Weibull in-control time. European Journal of Operational Research 176 2 (2007) 986-998
9. Chen F.L., and Yeh C.H. Economic design of control charts with Burr distribution for non-normal data under Weibull failure mechanism. Journal of the Chinese Institute of Industrial Engineers 23 3 (2006) 200-206
10. 2 control charts using genetic algorithms. Expert Systems with Applications 30 (2006) 233-242
11. Chou C.Y., Chen J.C., and Lai W.T. Economic design of variable sampling intervals EWMA charts with sampling at fixed times using genetic algorithms. Expert Systems with Applications 34 (2008) 419-426
12. Chou C.Y., Chen C.H., and Liu H.R. Economic-statistical design of over(X, -) chart for non-normal data by considering quality loss. Journal of Applied Statistics 27 8 (2000) 939-951
13. Chou C.Y., Chen C.H., and Liu H.R. Economic design of over(X, -) charts for non-normally data. International Journal of Production Research 39 9 (2001) 1931-1941
14. Chou C.Y., Chen C.H., Liu H.R., and Huang X.R. Economic-statistical design of multivariate control charts for monitoring the mean vector and covariance matrix. Journal of Loss Prevention in the Process Industries 16 (2003) 9-18
15. Chou C.L., and Wang C.J. A GA-based feature selection and parameters optimization for support vector machines. Expert Systems with Applications 31 (2006) 231-240
16. Chou C.Y., Wu C.C., and Chen C.H. Joint economic design of variable sampling intervals X bar and R charts using genetic algorithms. Communications in Statistics - Simulation and Computation 35 4 (2006) 1027-1043
17. Disney S.M., Naim M.M., and Towill D.R. Genetic algorithm optimization of a class of inventory control systems. International Journal of Production Economics 68 3 (2000) 259-278
18. Duncan A.J. The economic design of over(X, -) charts used to maintain current control of a process. Journal of the American Statistical Association 51 (1956) 228-242
19. Gibra I.N. Economically optimal determination of the economic design of an over(X, -) control chart. Management Science 17 (1971) 635-646
20. Girshick M.A., and Rubin H. Bayes' approach to a quality control model. Annals of Mathematical Statistics 23 (1952) 114-125
21. Goel A.L., and Wu S.M. An algorithm for the determination of the economic design of over(X, -) charts based on Duncan's model. Journal of the American Statistical Association 63 (1968) 304-320
22. Hu, P. W. (1984). Economic model of X control chart under non-Poisson process shift. In Abstract, TIMS/ORSA Joint National Meeting, May 1987, San Francisco. pp. 14-16.
23. Jensen M.T. Generating robust and flexible job shop schedules using genetic algorithm. IEEE Transactions on Evolutionary Computation 7 (2003) 275-288
24. Kim Y.K., Park K., and Ko J. A symbiotic evolutionary algorithm for the integration of process planning and job shop scheduling. Computers and Operations Research 30 8 (2003) 1151-1171
25. Knappenberger H.A., and Grandage A.H. Minimum cost quality control test. AIIE Transactions 1 (1969) 24-32
26. Lee K.Y., Han S.M., and Roh M. An improved genetic algorithm for facility layout problems having inner structure walls and passages. Computers and Operations Research 30 1 (2003) 117-138
27. McWilliams T.P. Economic, statistical, and economic-statistical over(X, -) chart designs. Journal of Quality Technology 26 (1994) 227-238
28. McWilliams T.P., and Saniga E.M. Economic-statistical design of over(X, -) and R or over(X, -) and S charts. Journal of Quality Technology 33 (2001) 234-241
29. Montgomery D.C., Trong J.C., Cochran J.K., and Lawence F.P. Statistical constrained economic design of EWMA control chart. Journal of Quality Technology 27 (1995) 250-256
30. Otha H., and Rahim M.A. A dynamic economic model for an over(X, -)-control chart design. IIE Transactions 29 6 (1997) 481-486
31. Parkhideh B., and Case K.E. The economic design of a dynamic over(X, -)-control chart. IIE Transactions 21 (1989) 313-323
32. Pongcharoen P., Hicks C., Braiden P.M., and Stewardson D.J. Determining optimum genetic algorithm parameters for scheduling the manufacturing and assembly of complex products. International Journal of Production Economics 78 3 (2002) 311-322
33. Rahim M.A. Economic model of over(X, -) chart under non-normally and measurement errors. Computer and Operations Research 12 3 (1985) 291-299
34. Rahim M.A. Economic design of over(X, -) control charts assuming Weibull distribution in-control times. Journal of Quality Technology 25 4 (1993) 296-305
35. Rahim M.A. Joint determination of production quantity, inspection schedule, and control charts design. IIE Transactions 26 6 (1994) 2-11
36. Rahim M.A., and Banerjee P.K. A generalized economic model for the economic design of over(X, -) control charts for production systems with increasing failure rate and early replacement. Naval Research Logistics 40 6 (1993) 787-809
37. Rahim M.A., and Ben-Daya M. A generalized economic model for joint determination of production quantity, inspection schedule, and control charts design. International Journal of Production Research 36 1 (1998) 277-289
38. Rahim M.A., and Costa A.F.B. Joint economic design of over(X, -) and R control charts under Weibull shock models. International Journal of Production Research 38 13 (2000) 2871-2889
39. Renner G. Genetic algorithms in CAD. Computer-Aided Design 35 8 (2003) 707-708
40. Saniga E.M. Economic statistical control chart designs with an application to over(X, -) and R charts. Technometrics 31 3 (1989) 313-320
41. Taguchi G. System of experimental design: Engineering methods to optimize quality and minimize costs (1987), UNIPUB, New York, NY, USA
42. Woodall W.H. The statistic design of quality control charts. Technometrics 28 (1985) 408-409
43. Yourstone S.A., and Zimmer W.J. Non-normality and the design of control charts for averages. Decision Science 23 (1992) 1099-1113
44. Zhang G., and Berardi V. Economic statistical design of over(X, -) control chart for systems with Weibull in-control times. Computers and Industrial Engineering 32 (1997) 575-586
45. Zimmer W.J., and Burr I.W. Variables sampling plans based on non-normal populations. Industrial Quality Control July (1963) 18-36