Optimization by signal flow graph method

dc.contributor.advisorHenley, Ernest J.
dc.contributor.committeeMemberMotard, Rodolphe L.
dc.contributor.committeeMemberPyle, Leonard Duane
dc.creatorTonomura, Takashi
dc.date.accessioned2023-01-17T21:26:21Z
dc.date.available2023-01-17T21:26:21Z
dc.date.issued1971
dc.description.abstractFive related objectives were realized in this research; 1. A modified linear programming technique was developed. The procedure follows the simplex algorithm, but signal flow graph (SFG) methods rather than matrix manipulations are used. 2. It is shown that all the ordinary post-optimum analysis, including sensitivity analysis, may be performed by the SFG method using the final graph instead of the simplex final tableau. 3. The SFG methods to solve linear equations were used to obtain the gradient vectors of objective functions with equality constraints. 4. The techniques developed in 1 and 2 were incorporated into the method of "feasible direction" (MFD), one of the most powerful methods of constrained optimization. 5. Two large, nonlinear, heat exchanger networks were studied, and the total heat exchanger area was minimized using the MFD in conjunction with the LP system developed. This research points to the possibility that signal flow graph methods can be a useful tool for solving linear and nonlinear constrained optimization problems.
dc.description.departmentChemical and Biomolecular Engineering, Department of
dc.format.digitalOriginreformatted digital
dc.format.mimetypeapplication/pdf
dc.identifier.other13637285
dc.identifier.urihttps://hdl.handle.net/10657/13619
dc.language.isoen
dc.language.isoja
dc.rightsThis item is protected by copyright but is made available here under a claim of fair use (17 U.S.C. Section 107) for non-profit research and educational purposes. Users of this work assume the responsibility for determining copyright status prior to reusing, publishing, or reproducing this item for purposes other than what is allowed by fair use or other copyright exemptions. Any reuse of this item in excess of fair use or other copyright exemptions requires express permission of the copyright holder.
dc.titleOptimization by signal flow graph method
dc.type.dcmiText
dc.type.genreThesis
thesis.degree.collegeCullen College of Engineering
thesis.degree.departmentChemical Engineering, Department of
thesis.degree.disciplineChemical Engineering
thesis.degree.grantorUniversity of Houston
thesis.degree.levelMasters
thesis.degree.nameMaster of Science
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