ACM Home Page
Please provide us with feedback. Feedback
Finding probably best systems quickly via simulations
Full text PdfPdf (591 KB)
Source
ACM Transactions on Modeling and Computer Simulation (TOMACS) archive
Volume 19 ,  Issue 3  (June 2009) table of contents
Article No. 12  
Year of Publication: 2009
ISSN:1049-3301
Author
Takayuki Osogami  IBM Tokyo Research Laboratory, Kanagawa, Japan
Publisher
ACM  New York, NY, USA
Bibliometrics
Downloads (6 Weeks): 30,   Downloads (12 Months): 120,   Citation Count: 0
Additional Information:

appendices and supplements   abstract   references   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/10.1145/1540530.1540533
What is a DOI?

APPENDICES and SUPPLEMENTS
Online appendix to finding probably best systems quickly via simulations. The appendix supports the information on article 12.


ABSTRACT

We propose an indifference-zone approach for a ranking and selection problem with the goal of reducing both the number of simulated samples of the performance and the frequency of configuration changes. We prove that with a prespecified high probability, our algorithm finds the best system configuration. Our proof hinges on several ideas, including the use of Anderson's probability bound, that have not been fully investigated for the ranking and selection problem. Numerical experiments show that our algorithm can select the best system configuration using up to 50% fewer simulated samples than existing algorithms without increasing the frequency of configuration changes.


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
Anderson, T. W. 1960. A modification of the sequential probability ratio test to reduce the sample size. Ann. Math. Stat. 31, 1, 165--197.
 
2
Bechhofer, R. E., Santner, T. J., and Goldsman, D. M. 1995. Design and Analysis of Experiments for Statistical Selection, Screening, and Multiple Comparisons. John Wiley & Sons, New York.
 
3
 
4
 
5
Chen, H.-C., Chen, C.-H., and Yücesan, E. 2000b. Computing efforts allocation for ordinal optimization and discrete event simulation. IEEE Trans. Auto. Contr. 45, 5, 960--964.
 
6
 
7
 
8
Dudewicz, E. J. and Dalal, S. R. 1975. Allocation of observations in ranking and selection with unequal variances. Sankhya B37, 1, 28--78.
 
9
Fabian, V. 1974. Note on Anderson's sequential procedures with triangular boundary. Annals Stat. 2, 1, 170--176.
 
10
Grimmett, G. and Stirzaker, D. 2001. Probability and Random Processes, 3rd ed. Oxford University Press, New York.
 
11
Hong, L. J. 2006. Fully sequential indifference-zone selection procedures with variance-dependent sampling. Naval Res. Log. 53, 5, 464--476.
 
12
Hong, L. J. and Nelson, B. L. 2005. The tradeoff between sampling and switching: New sequential procedures for indifference-zone selection. IIE Trans. 37, 7, 623--634.
 
13
Jennison, C., Johnston, 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, 55--86.
14
 
15
 
16
17
18
 
19
Rinott, Y. 1978. On two-stage selection procedures and related probability-inequalities. Communications in Statistics—Theory and Methods A7, 8, 799--811.
 
20
Stein, C. 1945. A two-sample test for a linear hypothesis whose power is independent of the variance. Annals Math. Stat. 16, 3, 243--258.
21