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Gradient technique and lagrange multiplier – A technique for optimizing complex processes
Author(s) -
Lee E. Stanley
Publication year - 1969
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.5450470503
Subject(s) - lagrange multiplier , computation , multiplier (economics) , constraint algorithm , computer science , ibm , component (thermodynamics) , mathematical optimization , algorithm , mathematics , materials science , thermodynamics , economics , macroeconomics , physics , nanotechnology
The gradient technique combined with Lagrange multiplier is used to find the optimum of a complex heterogeneous process with two recycle streams. Both the reaction stages and the separation stages for the separation of a six component mixture are considered. In spite of the complexity of the process, only two minutes computation (IBM 7094) is needed to obtain the solution. Techniques for handling inequality constraints on the control and state variables are also discussed.