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Optimization of stochastic systems
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Source Winter Simulation Conference archive
Proceedings of the 18th conference on Winter simulation table of contents
Washington, D.C., United States
Pages: 52 - 59  
Year of Publication: 1986
ISBN:0-911801-11-1
Author
Peter W. Glynn  Department of Industrial Engineering, and Mathematics Research Center, University of Wisconsin-Madison, Madison, WI
Sponsor
SIGSIM: ACM Special Interest Group on Simulation and Modeling
Publisher
ACM  New York, NY, USA
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Downloads (6 Weeks): 5,   Downloads (12 Months): 33,   Citation Count: 12
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ABSTRACT

This paper gives a short survey of Monte Carlo algorithms for stochastic optimization. Both discrete and continuous parameter stochastic optimization are discussed, with emphasis on the analysis of convergence rate. Some future research directions for the area are also indicated.


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
Allgower, E. L. and Georg, K. (1983). Predictor--corrector and simplicial methods for approximating fixed points and zero points of nonlinear mappings. Mathematical Programming- The State of the Art -Bonn 198~ Springer-Verlag, New York.
 
2
Bellman, R. E. and Dreyfus, S. E. (1962). ~Lpplied DMnamic Programm_~~. Pr}~nceton UniverSi~y~ Press, Princeton, NJ.
 
3
Denardo, E. ({1982). Dynamic Program- ~. Prentice-Hall, Englewood Cliffs, NJ.
 
4
Ermoliev, Y. (1983). Stochastic quasigradient methods and their application to system opl;imization. Stochastics 9, 1-36.
 
5
Fox, B. L. and Glynn, P. W. (1986). Replication schemes for :Limiting expectations. Technical Report, University of Montreal.
6
 
7
Glynn, P. W. and Sanders, J. L. (1986). Monte Carlo optimization of stochastic systems: Two new approaches. Proceedings of the 1986 ASME Computers in Engineering Conference.
 
8
Heidelberger, P. (1986). Limitations of infinitesimal perturbation analysis. Research Report, IBM, Yorktown Heights, NY.
 
9
Kushner, H. J. and Clark, D. S. (1978). Stochastic Approximation Methods for Constrained and Unconstrained Systems. Springer- Verlag, New York.
 
10
Polyak, B. T. (1976). Convergence and convergence rate of iterative stochastic algorithms I. General case. Automatika i Telemekhanika, 83 -94.
 
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12
Sacks, J. (1958). Asymptotic distribution of stochastic approximation procedures. Ann. Math. Statist. 29, 373-405.
 
13
Schruben, L. W. (1986). A frequencydomain approach to stochastic sensitivity analysis. Technical Report, Cornell University.
 
14
Suri, R. (1983). Infinitesimal perturbation analysis of discrete event dynamic systems: A general theory. Proceedgings of the 22nd IEEE Conference on Decision and Control.
 
15
Zazanis, M. A. and Suri, R. (1985). Comparison of perturbation analysis with conventional sensitivity estimates for regenerative stochastic systems. Technical Report, Harvard University.

CITED BY  12