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A practical approach to sample-path simulation optimization

Published: 10 December 2000 Publication History

Abstract

We propose solving continuous parametric simulation optimizations using a deterministic nonlinear optimization algorithm and sample-path simulations. The optimization problem is written in a modeling language with a simulation module accessed with an external function call. Since we allow no changes to the simulation code at all, we propose using a quadratic approximation of the simulation function to obtain derivatives. Results on three different queueing models are presented that show our method to be effective on a variety of practical problems.

References

[1]
Allen, A. O. 1990. Probability, Statistics and Queueing Theory. Academic Press, London, second edition.
[2]
Anderson, E., Bai, Z., Bischof, C., Demmel, J., Dongarra, J., Cros, J. D., Greenbaum, A., Hammarling, S., McKenney, A., Ostrouchov, S., and Sorensen, D. 1995. LAPACK User's Guide. SIAM, Philadelphia, Pennsylvania, second edition.
[3]
Andradóttir, S. 1995. A method of discrete stochastic optimization. Management Science, 41:1946-1961.
[4]
Andradóttir, S. 1996. A global search method for discrete stochastic optimization. SIAM Journal on Optimization, 6:513-530.
[5]
Brooke, A., Kendrick, D., and Meeraus, A. 1988. GAMS: A User's Guide. The Scientific Press, South San Francisco, CA.
[6]
Drud, A. 1985. CONOPT: A GRG code for large sparse dynamic nonlinear optimization problems. Mathematical Programming, 31:153-191.
[7]
Glasserman, P. 1991. Gradient Estimation via Perturbation Analysis. Kluwer, Norwell, MA.
[8]
Haddock, J. and Mittenthal, J. 1992. Simulation optimization using simulated annealing. Comput. Ind. Eng., 22:387-395.
[9]
Keifer, J. and Wolfowitz, J. 1952. Stochastic estimation of the maximum of a regression function. Annals of Mathematical Statistics, 23:462-466.
[10]
Plambeck, E. L., Fu, B. R., Robinson, S., and Suri, R. 1993. Throughput optimization in tandem production lines via nonsmooth programming. In Schoen, J., editor, Proceedings of the 1993 Summer Computer Simulation Conference, pages 70-75, San Diego, CA. Society for Computer Simulation.
[11]
Plambeck, E. L., Fu, B. R., Robinson, S., and Suri, R. 1996. Sample-path optimization of convex stochastic performance functions. Mathematical Programming, 75:137-176.
[12]
Robbins, H. and Monro, S. 1951. A stochastic approximation method. Annals of Mathematical Statistics, 22:400-407.
[13]
Robinson, S. M. 1996. Analysis of sample-path optimization. Mathematics of Operations Research, 21:513-528.
[14]
Shannon, R. E. 1998. Introduction to the art and science of simulation. WSC98 1998 Winter simulation conference proceedings, 1:7-14.
[15]
Stephens, M. A. 1974. EDF statistics for goodness of fit and some comparisons. Journal of the American Statistical Association, 69:730-737.
[16]
Stephens, M. A. 1976. Asymptotic results for goodness-of-fit statistics with unknown parameters. Annals of Statistics, 4:357-369.

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cover image ACM Conferences
WSC '00: Proceedings of the 32nd conference on Winter simulation
December 2000
2014 pages

Sponsors

  • IIE: Institute of Industrial Engineers
  • ASA: American Statistical Association
  • SIGSIM: ACM Special Interest Group on Simulation and Modeling
  • IEEE/CS: Institute of Electrical and Electronics Engineers/Computer Society
  • NIST: National Institute of Standards and Technology
  • 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
  • SCS: The Society for Computer Simulation International

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Society for Computer Simulation International

San Diego, CA, United States

Publication History

Published: 10 December 2000

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WSC00
Sponsor:
  • IIE
  • ASA
  • SIGSIM
  • IEEE/CS
  • NIST
  • INFORMS-CS
  • IEEE/SMCS
  • SCS
WSC00: Winter Simulation Conference
December 10 - 13, 2000
Florida, Orlando

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