Some Procedures of Selecting the Best Designs with Respect to Quantile

Simulation

Volumn 84, Issue 6, 2008, Pages 275-284

  Chen, E Jack ^a  

^a BASF CORPORATION   (United States)

Author keywords

Quantile estimation; ranking and selection; simulation run length

Indexed keywords

QUANTILE ESTIMATION; RANKING AND SELECTION; SELECTION PROCEDURES; SIMULATION RUN LENGTH;

NORMAL DISTRIBUTION;

EID: 51349085499     PISSN: 00375497     EISSN: None     Source Type: Journal    
DOI: 10.1177/0037549708094770     Document Type: Article

References (22)

1. Ho, Y.C., R.S. Sreenivas, and P. Vakili. 1992. Ordinal Optimization of DEDS. Journal of Discrete Event Dynamic Systems 2, 61- 68.
2. Chen, C.H., J. Lin, E. Yücesan, and S.E. Chick. 2000. Simulation Budget Allocation for Further Enhancing the Efficiency of Ordinal Optimization. Journal of Discrete Event Dynamic Systems 10(3), 251-270.
3. Chen, E.J. 2007. Indifference-Zone Subset Selection Procedures: Using Sample Means to Improve Efficiency. In Proceedings of the 2007 Winter Simulation Conference, S. G. Henderson, B. Biller, M.-H. Hsieh, J. Shortle, J. D. Tew, and R. R. Barton (eds). Piscataway, New Jersey: Institute of Electrical and Electronics Engineers, 535-543.
4. Bechhofer, R.E., T.J. Santner, and D.M. Goldsman. 1995. Design and Analysis of Experiments for Statistical Selection, Screening and Multiple Comparisons. John Wiley & Sons Inc.: New York.
5. Swisher, J.R., S.H. Jacobson, and E. Yücesan. 2003. Discrete-Event Simulation Optimization using Ranking, Selection, and Multiple Comparison Procedures: A Survey. ACM Transactions on Modeling and Computer Simulation 13(2), 134-154.
6. Bechhofer, R.E. and M. Sobel. 1954. A Single-Sample Multiple Decision Procedure for Ranking Variances of Normal Populations. The Annals of Mathematical Statistics 25, 273-289.
7. Chen, E.J. Selecting Designs With the Smallest Variance of Normal Populations. Journal of Simulation. In press.
8. Bekki, J.M., J.W. Fowler, G.T. Mackulak, and B.L. Nelson. 2007. Using Quantiles in Ranking and Selection Procedures. In Proceedings of the 2007 Winter Simulation Conference. S. G. Henderson, B. Biller, M. H. Hsieh, J. Shortle, J. D. Tew, and R. R. Barton (eds). Piscataway, New Jersey: Institute of Electrical and Electronics Engineers, 1722-1728.
9. Yang F., B.E. Ankenman, and B.L. Nelson. 2005. Estimation of Percentiles of Cycle Time in Manufacturing Simulation. In Proceedings of the 2005 Winter Simulation Conference. M. E. Kuhl, N. M. Steiger, F. B. Armstrong, and J. A. Joines (eds). Piscataway, New Jersey: Institute of Electrical and Electronics Engineers, 475-484.
10. Bekki, J.M., G.T. Mackulak, and J.W. Fowler. 2006. Indirect Cycle-Time Quantile Estimation for Non-FIFO Dispatching Policies. In Proceedings of the 2006 Winter Simulation Conference. L. F. Perrone, F. P. Wieland, J. Liu, B. G. Lawson, D. M. Nicol, and R. M. Fujimoto (eds). Piscataway, New Jersey: Institute of Electrical and Electronics Engineers, 1829- 1835.
11. Chen, E.J. and W.D. Kelton. 2008. Estimating Steady-State Distribution Via Histogram. Computers and Operations Research 35(4), 1003-1016.
12. Billingsley, P. 1999. Convergence of Probability Measures. Second edition. John Wiley & Sons Inc.: New York.
13. Chen, E.J. 2005. Using Parallel and Distributed Computing to Increase the Capability of Selection Procedures. In Proceedings of the 2005 Winter Simulation Conference. M. E. Kuhl, N. M. Steiger, F. B. Armstrong, and J. A. Joines JA (eds). Piscataway, New Jersey: Institute of Electrical and Electronics Engineers, 723-731.
14. Dudewicz, E.J. and S.R. Dalal. 1975. Allocation of Observations in Ranking and Selection with Unequal Variances. Sankhya B37, 28-78.
15. Law, A.M. and W.D. Kelton. 2000. Simulation Modeling and Analysis. Third edition. McGraw-Hill: New York.
16. David, H.A. 1981. Order Statistics. Second edition. Wiley: New York.
17. Sen, P.K. 1972. On the Bahadur Representation of Sample Quantiles for Sequences of 6-mixing Random Variables. Journal of Multivariate Analysis 2(1), 77-95.
18. Rice, J.A. 1995. Mathematical Statistics and Data Analysis. Second edition. Duxbury Press: Belmont, California.
19. Bratley, P., B.L. Fox, and L.E. Schrage. 1987. A Guide to Simulation. Second edition. Springer-Verlag: New York.
20. Chen, E.J. 2006. Comparison With a Standard Via All-Pairwise Comparisons. Journal of Discrete Event Dynamic Systems 16(3), 385-403.
21. Chen, E.J. and W.D. Kelton. 2007. A Procedure for Generating Batch-Means Confidence Interval for Simulation: Checking Independence and Normality. Simulation 83, 683-694.
22. Nakayama, M.K. 2007. Single-Stage Multiple-Comparison Procedure for Quantiles and Other Parameters. In Proceedings of the 2007 Winter Simulation Conference. S. G. Henderson, B. Biller, M. H. Hsieh, J. Shortle, J. D. Tew, and R. R. Barton (eds). Piscataway, New Jersey: Institute of Electrical and Electronics Engineers, 530-534.