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Quasilinearization in optimization: A numerical study
Author(s) -
Lee E. Stanley
Publication year - 1967
Publication title -
aiche journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.958
H-Index - 167
eISSN - 1547-5905
pISSN - 0001-1541
DOI - 10.1002/aic.690130603
Subject(s) - mathematics , pressure drop , mathematical optimization , variable (mathematics) , calculus (dental) , control variable , optimization problem , control theory (sociology) , mathematical analysis , control (management) , computer science , mechanics , physics , statistics , medicine , dentistry , artificial intelligence
The quasilinearization technique is used to obtain numerical answers for optimization problems formulated by the calculus of variations and the maximum principle. The optimum temperature profile in a tubular reactor, together with its initial optimum pressure, is obtained by this technique. Various variations of this problem such as control variable inequality constraints and the presence of pressure drop in the reactor are also discussed.