ACM Home Page
Please provide us with feedback. Feedback
Statistical selection of the best system
Full text PdfPdf (127 KB)
Source Winter Simulation Conference archive
Proceedings of the 33nd conference on Winter simulation table of contents
Arlington, Virginia
TUTORIAL SESSION: Advanced tutorials table of contents
Pages: 139 - 146  
Year of Publication: 2001
ISBN:0-7803-7309-X
Authors
David Goldsman  Georgia Institute of Technology, Atlanta, GA
Barry L. Nelson  Northwestern University, Evanston, IL
Sponsors
INFORMS/CS : Institute for Operations Research and the Management Sciences/College on Simulation
IEEE/SMCS : Institute of Electrical and Electronics Engineers/Systems, Man, and Cybernetics Society
NIST : National Institute of Standards and Technology
ACM: Association for Computing Machinery
SCS : The Society for Computer Simulation International
SIGSIM: ACM Special Interest Group on Simulation and Modeling
IIE : Institute of Industrial Engineers
IEEE/CS : Institute of Electrical and Electronics Engineers/Computer Society
ASA : American Statistical Association
Publisher
IEEE Computer Society  Washington, DC, USA
Bibliometrics
Downloads (6 Weeks): 1,   Downloads (12 Months): 6,   Citation Count: 9
Additional Information:

abstract   references   cited by   index terms   collaborative colleagues  

Tools and Actions: Review this Article  

ABSTRACT

This tutorial discusses some statistical procedures for selecting the best of a number of competing systems. The term "best" may refer to that simulated system having, say, the largest expected value or the greatest likelihood of yielding a large observation. We describe six procedures for finding the best, three of which assume that the underlying observations arise from competing normal distributions, and three of which are essentially nonparametric in nature. In each case, we comment on how to apply the above procedures for use in simulations.


REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

 
1
Bechhofer, R. E., S. Elmaghraby, and N. Morse. 1959. A single-sample multiple decision procedure for selecting the multinomial event which has the highest probability. Ann. Math. Stat. 30:102-119.
 
2
Bechhofer, R. E., and D. M. Goldsman. 1986. Truncation of the Bechhofer-Kiefer-Sobel sequential procedure for selecting the multinomial event which has the largest probability (II): Extended tables and an improved procedure. Comm. Stat.-Simul. and Comp. B15:829-851.
 
3
Bechhofer, R. E., T. J. Santner, and D. Goldsman. 1995. Design and Analysis of Experiments for Statistical Selection, Screening and Multiple Comparisons. New York: John Wiley and Sons.
 
4
Boesel, J., and B. L. Nelson. 1998. Accounting for randomness in heuristic simulation optimization. IIE Transactions, forthcoming.
 
5
 
6
 
7
Damerdji, H., P. W. Glynn, M. K. Nakayama, and J. R. Wilson. 1997a. Selection of the best system in steady-state simulations. Technical Report 97-5, Dept. of Industrial Engineering, North Carolina State Univ., Raleigh, North Carolina.
 
8
Damerdji, H., P. W. Glynn, M. K. Nakayama, and J. R. Wilson. 1997b. Selection of the best system in transient simulations. Technical Report 97-6, Dept. of Industrial Engineering, North Carolina State Univ., Raleigh, North Carolina.
 
9
Damerdji, H. and M. K. Nakayama. 1996. Two-stage multiple-comparison procedures for steady-state simulations. Technical Report, Dept. of Industrial Engineering, North Carolina State Univ., Raleigh, North Carolina.
 
10
Dunnett, C. W. 1989. Multivariate normal probability integrals with product correlation structure. Applied Statistics 38:564-579. Correction: 42:709.
 
11
 
12
Goldsman, D., S.-H. Kim, W. S. Marshall, and B. L. Nelson. 2001. Ranking and selection for steady-state simulation: Procedures and perspectives. Working Paper, Department of Industrial Engineering & Management Sciences, Northwestern University, Evanston, Illinois.
 
13
 
14
 
15
Goldsman, D., and B. L. Nelson. 1998b. Comparing systems via simulation. Handbook of Simulation, ed. J. Banks, Chapter 8. New York: John Wiley and Sons.
 
16
Gupta, S. S. 1956. On a Decision Rule for a Problem in Ranking Means. Ph.D. Dissertation (Mimeo. Ser. No. 150). Inst. of Statist., Univ. of North Carolina, Chapel Hill, North Carolina.
 
17
Gupta, S. S. 1965. On some multiple decision (selection and ranking) rules. Technometrics 7:225-245.
 
18
 
19
Hsu, J. C. 1984. Constrained simultaneous confidence intervals for multiple comparisons with the best. Annals of Statistics 12:1136-1144.
20
 
21
Kim, S-H. and B. L. Nelson. 2001b. On the asymptotic validity of fully sequential selection procedures for steady-state simulation. Working Paper, Department of Industrial Engineering & Management Sciences, Northwestern University, Evanston, Illinois.
 
22
 
23
Matejcik, F. J., and B. L. Nelson. 1995. Two-stage multiple comparisons with the best for computer simulation. Operations Research 43:633-640.
 
24
Miller, J. O., B. L. Nelson, and C. H. Reilly. Efficient multinomial selection in simulation. 1998. Naval Research Logistics 45:459-482.
 
25
Nakayama, M. K. 1997. Multiple-comparison procedures for steady-state simulations. Annals of Statistics 25:2433-2450.
 
26
 
27
 
28
Rinott, Y. 1978. On two-stage selection procedures and related probability-inequalities. Comm. Stat.-Thy. and Meth. A7:799-811.
 
29
Wilcox, R. R. 1984. A table for Rinott's selection procedure. J. Quality Technology 16:97-100.

CITED BY  9

Collaborative Colleagues:
David Goldsman: colleagues
Barry L. Nelson: colleagues