Abstract
We have presented a frequency domain approach of optimizing a steady state stochastic dynamic expected response. Clearly there is room to improve the effeciency and accuracy of the estimates obtained by generalizing the model and making better use of simulation data. However we have demonstrated that working in the frequency domain can be a good way to analyse and optimize some types of stochastic dynamical systems.
Preview
Unable to display preview. Download preview PDF.
Bibliography
Chatfield, C., THE ANALYSIS OF TIME SERIES: AN INTRODUCTION, 3rd Edition, Chapman and Hall, New York (1984).
Glynn, P.W., Sanders, J.L., Monte Carlo Optimization of Stochastic Systems: 2 New Approaches", Proceedings of ASME Computer Science in Engineering Conference (1986)
Heidelberger, P., "Limitations of Infinitesimal Pertirbation Analysis", IBM Research Report, RC 11891, IBM Watson Research Labs, Yorktown Heights, N.Y., 10598 (1986).
Ho, Y.C., "Perturbation Analysis Methods for Discrete Event Dynamical Systems and Simulations", Proceedings of 1984 Winter Simulation Conference, 171–173.
Jacobson, S.H., Buss, A.H. Schruben, L.W., "Frequency Selection Problem in Frequency Domain Experiments", Technical Report #714, School of Operations Research and Industrial Engineering, Cornell University, Ithaca, N.Y., August 1986.
Jacobson, S.H., Schruben, L.W., "Techniques for Simulation Optimization", Technical Report #715, School of Operations Research and Industrial Engineering, Cornell University, Ithaca, N.Y., August 1986.
Narendra, K.S., Gallman, P.G., "An Iterative Method for the Identification of Non-Linear Systems Using a Hammerstein Model", IEEE Transactions on Automatic Control, AC-11(3), pp. 546–550 (1966).
Priestley, M.B., SPECTRAL ANALYSIS AND TIME SERIES, Volumes 1 and 2, Academic Press, London (1981).
Rieman, M.I., Weiss, A., "Sensitivity Analysis Via Likelihood Ratios", Proceeding of 1986 Winter Simulation Conference, pp. 285–289 (1986).
Safizadeh, H.M., "Optimization in Simulation: Current Issues and the Future Outlook", Technical Report, Dept. of FREDS, The Wichita State University (1987).
Sanchez, P.J., Buss, A.H., "A Model for Frequency Domain Experiments", Proceedings of 1987 Winter Simulation Conference, pp. 424–427 (1987).
Schruben, L.W., Cogliano, V.J., "An Experimental Procedure for Simulation Response Surface Model Identification", Communications of the ACM, Vol. 30(8), 716–730, August (1987)
Schruben, L.W., "Simulation Optimization using Frequency Domain Methods", Proceedings of the 1986 Winter Simulation Conference, 366–369 (1986).
Schruben, L.W., Heath, D., Buss, A.H., "A Dynamic Response Surface Model for Frequency Domain Simulation Experiments", Technical Report, School of Operations Research and Industrial Engineering, Cornell University, Ithaca, N.Y. (1987).
Som, T.K., Sargent, R.G., Schruben, L.W., "Frequency Domain Meta-Modelling of a Feedback Queue", Proceedings of 1987 Winter Simulation Conference, 419–423 (1987).
Suri, R., "Infinitesimal Perturbation Analysis for General Discrete Events System", Presented at IEEE Decision and Control Conference (1983).
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1988 Springer-Verlag
About this paper
Cite this paper
Jacobson, S.H., Schruben, L.W. (1988). Optimization of stochastic dynamical systems in the frequency domain. In: Bensoussan, A., Lions, J.L. (eds) Analysis and Optimization of Systems. Lecture Notes in Control and Information Sciences, vol 111. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0042277
Download citation
DOI: https://doi.org/10.1007/BFb0042277
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-19237-4
Online ISBN: 978-3-540-39161-6
eBook Packages: Springer Book Archive