ACM Home Page
Please provide us with feedback. Feedback
A fully sequential procedure for indifference-zone selection in simulation
Full text PdfPdf (166 KB)
Source ACM Transactions on Modeling and Computer Simulation (TOMACS) archive
Volume 11 ,  Issue 3  (July 2001) table of contents
Pages: 251 - 273  
Year of Publication: 2001
ISSN:1049-3301
Authors
Seong-Hee Kim  Georgia Institute of Technology, Atlanta, GA
Barry L. Nelson  Northwestern University
Publisher
ACM  New York, NY, USA
Bibliometrics
Downloads (6 Weeks): 19,   Downloads (12 Months): 84,   Citation Count: 40
Additional Information:

abstract   references   cited by   index terms   collaborative colleagues  

Tools and Actions: Request Permissions Request Permissions    Review this Article  
DOI Bookmark: Use this link to bookmark this Article: http://doi.acm.org/10.1145/502109.502111
What is a DOI?

ABSTRACT

We present procedures for selecting the best or near-best of a finite number of simulated systems when best is defined by maximum or minimum expected performance. The procedures are appropriate when it is possible to repeatedly obtain small, incremental samples from each simulated system. The goal of such a sequential procedure is to eliminate, at an early stage of experimentation, those simulated systems that are apparently inferior, and thereby reduce the overall computational effort required to find the best. The procedures we present accommodate unequal variances across systems and the use of common random numbers. However, they are based on the assumption of normally distributed data, so we analyze the impact of batching (to achieve approximate normality or independence) on the performance of the procedures. Comparisons with some existing indifference-zone procedures are also provided.


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., DUNNETT,C.W.,GOLDSMAN,D.M.,AND HARTMANN, M. 1990. A comparison of the performances of procedures for selecting the normal population having the largest mean when the populations have a common unknown variance. Commun. Stat. B19, 971-1006.
 
2
BECHHOFER, R. E., SANTNER,T.J.,AND GOLDSMAN, D. M. 1995. Design and Analysis for Statistical Selection, Screening and Multiple Comparisons. Wiley, New York.
 
3
BOESEL, J., NELSON,B.L.,AND KIM, S. 2001. Using ranking and selection to clean up after a simulation search. Tech. Rep. Department of Industrial Engineering and Management Sciences, Northwestern Univ., Evanston, Ill.
 
4
CHEN, C.-H. 1996. A lower bound for the correct-selection probability and its application to discrete event simulations. IEEE Trans. Autom. Contr. 41, 1227-1231.
 
5
 
6
7
 
8
FABIAN, V. 1974. Note on Anderson's sequential procedures with triangular boundary. Ann. Statis. 2, 170-176.
 
9
 
10
GOLDSMAN,D.M.,AND NELSON, B. L. 1998a. Comparing systems via simulation. In Handbook of Simulation, J. Banks, Ed., Chap. 8. Wiley, New York.
 
11
 
12
HARTMANN, M. 1988. An improvement on Paulson's sequential ranking procedure. Sequen. Analysis 7, 363-372.
 
13
HARTMANN, M. 1991. An improvement on Paulson's procedure for selecting the population with the largest mean from k normal populations with a common unknown variance. Sequent. Analysis 10, 1-16.
 
14
 
15
HSU, J. C. 1996. Multiple Comparisons: Theory and Methods. Chapman and Hall, New York.
 
16
JENNISON, C., JOHNSTONE,I.M.,AND TURNBULL, B. W. 1982. Asymptotically optimal procedures for sequential adaptive selection of the best of several normal means. In Statistical Decision Theory and Related Topics III, Vol 2. Academic Press, New York.
 
17
LEWIS, P. A. W. 1980. Simple models for positive-valued and discrete-valued time series with ARMA correlation structure. In Multivariate Analysis V, P. R. Krishnaiah, Ed. North-Holland, New York, pp. 151-156.
 
18
 
19
MILLER,J.O.,NELSON,B.L.,AND REILLY, C. H. 1998a. Efficient multinomial selection in simulation. Naval Res. Log. 45, 459-482.
 
20
MILLER, J. O., NELSON,B.L.,AND REILLY, C. H. 1998b. Comparing simulated systems based on the probability of being the best. Tech. Rep., Dept. Industrial Engineering and Management Sciences, Northwestern Univ., Evanston, Ill.
21
 
22
NELSON, B. L., AND BANERJEE, S. 2001. Selecting a good system: Procedures and inference. IIE Trans. 33, 149-166.
 
23
 
24
 
25
PAULSON, E. 1964. A sequential procedure for selecting the population with the largest mean from k normal populations. Ann. Math. Stat. 35, 174--180.
 
26
RINOTT, Y. 1978. On two-stage selection procedures and related probability-inequalities. Commun. Stat. A7, 799-811.
 
27
ROBBINS, H. 1970. Statistical methods related to the law of the iterated logarithm. Ann. Math. Stat. 41, 1397-1409.
 
28
SWANEPOEL,J.W.H.,AND GEERTSEMA, J. C. 1976. Sequential procedures with elimination for selecting the best of k normal populations. S. Afr. Statist. J. 10, 9-36.
 
29
TAMHANE, A. C. 1977. Multiple comparisons in model I: One-way anova with unequal variances. Commun. Stat. A6, 15-32.

CITED BY  40

Collaborative Colleagues:
Seong-Hee Kim: colleagues
Barry L. Nelson: colleagues