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Interior and Exterior Penalty Methods to Solve Nonlinear Optimization Problems

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dc.contributor.advisor Guta ), Berhanu (PhD)
dc.contributor.author Kemal, Kiflu
dc.date.accessioned 2018-07-16T13:15:28Z
dc.date.available 2018-07-16T13:15:28Z
dc.date.issued 2017-06
dc.identifier.uri http://etd.aau.edu.et/handle/123456789/8807
dc.description.abstract The methods that we describe presently, attempt to approximate a constrained optimiza- tion problem with an unconstrained one and then apply standard search techniques such as exterior penalty function method and interior penalty method to obtain solutions. The approximation is accomplished in the case of exterior penalty methods by adding a term to the objective function that prescribes a high cost for violation of the constraints. In the case of interior penalty function methods, a term is added that favors points in the interior of the feasible region over those near the boundary. For a problem with n variables and m constraints, both approaches work directly in the n-dimensional space of the variables. The discussion that follows emphasizes exterior penalty methods recognizing that interior penalty function methods embody the same principles. Keywords: Constrained optimization, unconstrained optimization, Exterior penalty,Interior penalty(barrier) methods,Penalty Parameter,Penalty function, Penalty Term,Auxiliary func- tion,non linear programming. en_US
dc.language.iso en en_US
dc.publisher Addis Ababa University en_US
dc.subject Constrained Optimization en_US
dc.subject Unconstrained Optimization en_US
dc.subject Exterior Penalty en_US
dc.subject Interior Penalty(Barrier) Methods en_US
dc.subject Penalty Parameter en_US
dc.subject Penalty Function en_US
dc.subject Penalty Term,Auxiliary Func- Tion,Non Linear Programming en_US
dc.title Interior and Exterior Penalty Methods to Solve Nonlinear Optimization Problems en_US
dc.type Thesis en_US

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