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Single-and Multiple-Objective Stochastic Programming Models with Applications to Aerodynamics

Title: Single-and Multiple-Objective Stochastic Programming Models with Applications to Aerodynamics.
Name(s): Croicu, Ana-Maria, author
Hussaini, M. Yousuff, professor directing dissertation
Srivastava, Anuj, outside committee member
Kopriva, David, committee member
Wang, Qi, committee member
Department of Mathematics, degree granting department
Florida State University, degree granting institution
Type of Resource: text
Genre: Text
Issuance: monographic
Date Issued: 2005
Publisher: Florida State University
Place of Publication: Tallahassee, Florida
Physical Form: computer
online resource
Extent: 1 online resource
Language(s): English
Abstract/Description: Deterministic design assumes that there is no uncertainty in the modeling parameters, and as a consequence, there is no variability in the simulation outputs. Therefore, deterministic optimal designs that are obtained without taking into account uncertainty are usually unreliable. This is the case with transonic shape optimization, where the randomness in the cruise Mach number might have significant impact on the optimal geometric design. In this context, a stochastic search turns out to be more appropriate. Approaches to stochastic optimization have followed a variety of modeling philosophies, but little has been done to systematically compare different models. The goal of this thesis is to present a comparison between two stochastic optimization algorithms, with the emphasis on applications, especially on the airfoil shape optimization. Single-objective and multi-objective optimization programs are analyzed as well. The relationship between the expected minimum value (EMV) criterion and the minimum expected value (MEV) criterion is explored, and it is shown that, under favorable conditions, a better optimal point could be obtained via the EMV approach. Unfortunately, the advantages of using the EMV approach are far outweighed by the prohibitive exorbitant computational cost.
Identifier: FSU_migr_etd-3027 (IID)
Submitted Note: A Dissertation submitted to the Department of Mathematics in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
Degree Awarded: Fall Semester, 2005.
Date of Defense: October 28, 2005.
Keywords: Stochastic Programming, Uncertainty, Optimization Under Uncertainty, Nash Equilibrium
Bibliography Note: Includes bibliographical references.
Advisory Committee: M. Yousuff Hussaini, Professor Directing Dissertation; Anuj Srivastava, Outside Committee Member; David Kopriva, Committee Member; Qi Wang, Committee Member.
Subject(s): Mathematics
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Owner Institution: FSU

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Croicu, A. -M. (2005). Single-and Multiple-Objective Stochastic Programming Models with Applications to Aerodynamics. Retrieved from