Interior and Exterior Penalty Methods to Solve Nonlinear Optimization Problems

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dc.contributor.advisorGuta ), Berhanu (PhD)
dc.contributor.authorKemal, Kiflu
dc.date.accessioned2018-07-16T13:15:28Z
dc.date.accessioned2023-11-04T12:30:37Z
dc.date.available2018-07-16T13:15:28Z
dc.date.available2023-11-04T12:30:37Z
dc.date.issued2017-06
dc.description.abstractThe 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.identifier.urihttp://etd.aau.edu.et/handle/123456789/8807
dc.language.isoenen_US
dc.publisherAddis Ababa Universityen_US
dc.subjectConstrained Optimizationen_US
dc.subjectUnconstrained Optimizationen_US
dc.subjectExterior Penaltyen_US
dc.subjectInterior Penalty(Barrier) Methodsen_US
dc.subjectPenalty Parameteren_US
dc.subjectPenalty Functionen_US
dc.subjectPenalty Term,Auxiliary Func- Tion,Non Linear Programmingen_US
dc.titleInterior and Exterior Penalty Methods to Solve Nonlinear Optimization Problemsen_US
dc.typeThesisen_US

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