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The use of variance reduction techniques in the estimation of simulation metamodels

Published: 01 December 1995 Publication History

Abstract

Variance reduction techniques can be useful strategies for improving the estimates of simulation metamodel coefficients. Depending upon the goals of the experimenter, the type of metamodel being estimated, and the characteristics of the system being simulated, an appropriate variance reduction technique can be applied. This paper provides a review of recent research that investigates the application of variance reduction techniques in the simulation metamodeling context. One strategy, Schruben and Margolin's (1978) assignment rule, which utilizes a combination of antithetic and common random number streams, is found to be a particularly useful variance reduction technique for the estimation of simulation metamodels.

References

[1]
Barton, R. B. 1994. Metamodeling: A state of the art review, in Proceedings of the 199~ W~ter Szmulation Conference, ed. J. D. Tew, S. Manivannan, D. A. Sadowski, and A. F. Seila, 237-244. Lake Buena Vista, FL.
[2]
Bauer, K. W., and J. R. Wilson. 1992. Control variate selection criteria. Naval Research Logistics 39:307-321.
[3]
Box, G. E. P., and N. R. Draper. 1987. Empzrical model-buzlding and response surfaces. New York: John Wiley and Sons.
[4]
Donohue, J. M., E. C. Houck, and R. H. Myers. 1992. Simulation designs for quadratic response surface models in the presence of model misspecification. Management Sczence 38:1765-1791.
[5]
Donohue, J. M., E. C. Houck, and R. H. Myers. 1993a. Simulation designs and correlation induetion for reducing second-order bias in first-order response surfaces. Operatzons Research 41:880-902.
[6]
Donohue, J. M., E. C. Houck, and R. I-I. Myers. 1993b. Sequential experimental designs for the estimation of first- and second-order simulation metamodels. A CM Transactions on Modeling and Computer S~mulat~on 3:190-224.
[7]
Donohue, J. M., E. C. Houck, and R. H. Myers. 1995. Simulation designs for the estimation of response surface gradients in the presence of model misspecification. Management Science 41:244-262.
[8]
Fishman, G. S. 1974. Correlated simulation experiments. Simulation 23:177-180.
[9]
Friedman, L. W., and I. Pressman. 1988. The metamodel in simulation analysis: Can it be trusted? European Journal of Operational Research 39:939- 948.
[10]
Galbraith, L., and C. R. Standridge. 1994. Analysis in manufacturing systems simulation: A case study. Simulation 63:369-376.
[11]
Gordon, S. C., J. A. Ausink, and R. J. Berdine. 1994. Using experimental design techniques for spacecraft control simulation. Simulation 62:303-309.
[12]
Hesterberg, T. 1995. Weighted average importance sampling and defensive mixture distributions. Technometrics 37:185-194.
[13]
Hussey, J. R., R. H. Myers, and E. C. Houck. 1987a. Pseudorandom number assignments in quadratic response surface designs, lie Transactions 19:395- 403.
[14]
Hussey, J. R., R. H. Myers, and E. C. Houck. 1987b. Correlated simulation experiments in firstorder response surface design. Operations Research 35:744-758.
[15]
Joshi, S., and J. D. Tew. 1995. Validation and statistical analysis procedures Under the common random number correlation-induction strategy for multipopulation simulation experiments. To appear in European Journal of Operational Research.
[16]
Kleijnen, J. P. C. 1977. Design and analysis of simulations: Practical statistical techniques. Szmulation 29:81-90.
[17]
Kleijnen, J. P. C. 1992. Regression metamodels for simulation with common random numbers: Comparison of validation tests and confidence intervals. Management Science 38:1164-1185.
[18]
Kuei, C. H., and C. N. Madu. 1994. Polynomial metamodelling and Taguchi designs in simulation with application to the maintenance float policy. European Journal of Operatzonal Research 72:364- 375.
[19]
Kwon, C., and J. D. Tew. 1994. Strategies for combining antithetic variates and control variates in designed simulation experiments. Management Sczence 40:1021-1034.
[20]
Lavenberg, S. S., T. L. Moeller, and P. D. Welch. 1982. Statistical results on control variables with application to queueing network simulation. Operatzons Research 30:182-202.
[21]
Madu, C. N., and C. Kuei. 1992. Simulation metamodels of system availability and optimum spare and repair units, lIE Transactions 24:99-104.
[22]
Nelson, B. L. 1992. Designing efficient simulation experiments. In Proceedzngs of the 1992 Winter Simulation Conference, ed. J. J. Swain, D. Goldsman, R. C. Crain, and j. R. Wilson, 126-132. Arlington, VA.
[23]
Nozari, A., S. F. Arnold, and C. D. Pegden. 1987. Statistical analysis for use with the Schruben and Margolin correlation induction strategy. Operations Research 35:127-139.
[24]
Schruben, L. W., and B. H. Margolin. 1978. Pseudorandom number assignment in statistically designed simulation and distribution sampling experiments. Journal of the American Statistical Association 73:504-520.
[25]
Schruben, L. W., S. M. Sanchez, P. J. Sanchez, and V. A. Czitrom. 1992. Variance reallocation in Taguchi's robust design framework. In Proceedings of the 1992 Winter Simulation Conference, ed. J. J. Swain, D. Goldsman, R. C. Crain, and J. R. Wilson, 548-556. Arlington, VA.
[26]
Tew, J. D. 1991. Correlated replicates for first-order metamodel estimation in simulation experiments. Transactions of The Soczety for Computer Simulation 8:218-244.
[27]
Tew, J. D. 1992. Using central composite designs in simulation experiments. In Proceedings of the 1992 Winter Simulation Conference, ed. J. J. Swain, D. Goldsman, R. C. Crain, and J. R. Wilson, 529- 538. Arlington, VA.
[28]
Tew, J. D., and M. D. Crenshaw. 1990. Heuristic diagnostics for the presence of pure error in computer simulation models. In Proceedings of the 1990 W~nter Simulation Conference, ed. O. Balci, R. P. Sadowski, and R. E. Nance, 337-343. New Orleans, LA.
[29]
Tew, J. D., and J. R. Wilson. 1992. Validation of simulation analysis methods for the Schruben- Margolin correlation-induction strategy. Operations Research 40:87-103.
[30]
Tew, J. D., and J. R. Wilson. 1994. Estimating simulation metamodels using combined correlationbased variance reduction techniques. IIE Transactions 26:2-16.
[31]
Zeimer, M. A., and J. D. Tew. 1994. Selection of a pure error generator for simulation experiments. Transactions of The Society for Computer Simulation 11:132-158.

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cover image ACM Conferences
WSC '95: Proceedings of the 27th conference on Winter simulation
December 1995
1493 pages
ISBN:0780330188

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Published: 01 December 1995

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WSC95: 1995 Winter Simulation Conference
December 3 - 6, 1995
Virginia, Arlington, USA

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