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Hybrid techniques applied to optimization problems

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Hans S. WitsenhausenAuthors Info & Claims

AIEE-IRE '62 (Spring): Proceedings of the May 1-3, 1962, spring joint computer conference

Pages 377 - 392

https://doi.org/10.1145/1460833.1460876

Published: 01 May 1962 Publication History

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Abstract

A function dependent on the solution of a set of differential equations containing adjustable parameters, can be minimized by systematic search procedures in parameter space. Such procedures can be implemented by a hybrid system consisting of a general purpose analog computer and a digital expansion providing parallel logic building blocks. Programming of such a system is illustrated for a simple search procedure in n parameters.

References

[1]

Brooks, S. H.,"A Comparison of Maximum-Seeking Methods," Operations Research, 7, No. 4, 1959.

Google Scholar

[2]

Kinney, R., "A Model Adaptation Technique for Computer Controlled Batch Chemical Process," M.S. Thesis, Case Institute of Technology, 1960.

Google Scholar

[3]

Brunner, W., "An Iteration Procedure for Parametric Model Building and Boundary Value Problems," Western Joint Computer Conference, 1961.

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Google Scholar

[4]

Box, G. E. P. and Wilson, K. B., Journal Royal Statistical Society, B13, 1, 1951.

Google Scholar

[5]

Lapidus, L., Shapiro, E., Shapiro, S. and Stillman, R. E., "Optimization of Process Performance", A.I.Ch.E. Journal, 7, 288, 1961.

Google Scholar

[6]

Munson, J. and Rubin, A. I., "Optimization by Random Search on the Analog Computer," I.R.E. Trans. EC-8, No. 2, 200, 1959.

Google Scholar

[7]

Follin, J. W., Emch, G. F. and Walters, F. M. "Modification and Additions to the REAC," Project Cyclone Symposium II, p. 173, 1952.

Google Scholar

[8]

Hansen, G. R., "The Time-Sequence Controller for Automatic Operation of the Electronic Differential Analyzer," Project Typhoon Symposium III, p. 65, 1953.

Google Scholar

Cited By

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HALBERT PLANDAUER JWITSENHAUSEN H(2013)HYBRID SIMULATION OF ADAPTIVE PATH CONTROLHeterogeneous Combustion Conference10.2514/6.1963-1038Online publication date: 20-Feb-2013
https://doi.org/10.2514/6.1963-1038
Beck CDrake R(1969)A Hybrid NASAP Module for Direct Design of Linear Dynamic CircuitsIEEE Transactions on Education10.1109/TE.1969.432051412:4(251-255)Online publication date: 1-Dec-1969
https://dl.acm.org/doi/10.1109/TE.1969.4320514
Gilbert EMoran R(1968)A general method for programming synchronous logic in analog computationProceedings of the December 9-11, 1968, fall joint computer conference, part II10.1145/1476706.1476751(1251-1257)Online publication date: 9-Dec-1968
https://dl.acm.org/doi/10.1145/1476706.1476751
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Published In

AIEE-IRE '62 (Spring): Proceedings of the May 1-3, 1962, spring joint computer conference

May 1962

408 pages

ISBN:9781450378758

DOI:10.1145/1460833

Conference Chair:
G. A. Barnard
Philco WDL, Palo Alto, Calif.

Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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Association for Computing Machinery

New York, NY, United States

Publication History

Published: 01 May 1962

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HALBERT PLANDAUER JWITSENHAUSEN H(2013)HYBRID SIMULATION OF ADAPTIVE PATH CONTROLHeterogeneous Combustion Conference10.2514/6.1963-1038Online publication date: 20-Feb-2013
https://doi.org/10.2514/6.1963-1038
Beck CDrake R(1969)A Hybrid NASAP Module for Direct Design of Linear Dynamic CircuitsIEEE Transactions on Education10.1109/TE.1969.432051412:4(251-255)Online publication date: 1-Dec-1969
https://dl.acm.org/doi/10.1109/TE.1969.4320514
Gilbert EMoran R(1968)A general method for programming synchronous logic in analog computationProceedings of the December 9-11, 1968, fall joint computer conference, part II10.1145/1476706.1476751(1251-1257)Online publication date: 9-Dec-1968
https://dl.acm.org/doi/10.1145/1476706.1476751
Caligiuri G(1966)Sull'ottimizzazione di un sistema idro-termo elettrico mediante utilizzazione del principio del massimo su calcolatore analogicoCalcolo: a quarterly on numerical analysis and theory of computation10.1007/BF025760203:4(393-427)Online publication date: 1-Dec-1966
https://dl.acm.org/doi/10.1007/BF02576020
Mitchell B(1965)A Hybrid Analog-Digital Parameter Optimizer for ASTRAC IISIMULATION10.1177/0037549765004006114:6(399-411)Online publication date: 1-Jun-1965
https://doi.org/10.1177/003754976500400611
Vichnevetsky RWaha J(1964)Dynamic Programming and Hybrid ComputationSIMULATION10.1177/0037549764003005093:5(34-42)Online publication date: 1-Nov-1964
https://doi.org/10.1177/003754976400300509
Mitchell BRoller H(1964)A hybrid analog-digital parameter optimizer for ASTRAC IIProceedings of the April 21-23, 1964, spring joint computer conference10.1145/1464122.1464151(271-285)Online publication date: 21-Apr-1964
https://dl.acm.org/doi/10.1145/1464122.1464151
Truitt TRoller H(1964)Hybrid computation... what is it?... who needs it?...Proceedings of the April 21-23, 1964, spring joint computer conference10.1145/1464122.1464149(249-269)Online publication date: 21-Apr-1964
https://dl.acm.org/doi/10.1145/1464122.1464149
Halbert PTupac J(1963)Hybrid simulation of an aircraft adaptive control systemProceedings of the November 12-14, 1963, fall joint computer conference10.1145/1463822.1463867(425-435)Online publication date: 12-Nov-1963
https://dl.acm.org/doi/10.1145/1463822.1463867

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Linearization techniques for singular initial-value problems of ordinary differential equations

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