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Adaptation of the two‐derivative method of optimisation in cases of non‐convergence
Author(s) -
Methot J. C.,
Cholette A.
Publication year - 1967
Publication title -
the canadian journal of chemical engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.404
H-Index - 67
eISSN - 1939-019X
pISSN - 0008-4034
DOI - 10.1002/cjce.5450450512
Subject(s) - convergence (economics) , mathematical optimization , adaptation (eye) , series (stratigraphy) , derivative (finance) , graph , computer science , gas compressor , mathematics , engineering , combinatorics , mechanical engineering , economics , economic growth , paleontology , physics , financial economics , optics , biology
Problems of optimization are often solved readily by means of the Two‐Derivative Method but suitable adaptation is required at times to bring about convergence, as is sometimes the case in the optimization of stage processes. The nature of the corrective action can be suggested by the physical limitations of the particular problem investigated or by the peculiarities of the function to be optimized. Different adaptation techniques are examplified by various problems: minimum energy requirements for IV compressors in series; optimum solvent distribution between N extractors in series when cross flow takes place, whether the equilibrium relationship is represented by a straight line or by a curve; optimum number of stages in counter‐current extraction, without the need for the construction of a special graph with two families of superposed contour lines.