Title page for ETD etd-08302010-070400


Type of Document Dissertation
Author Zielinski, Jacob Jonathan
URN etd-08302010-070400
Title Adapting Response Surface Methods for the Optimization of Black-Box Systems
Degree PhD
Department Statistics
Advisory Committee
Advisor Name Title
Vining, G. Geoffrey Committee Chair
Birch, Jeffrey B. Committee Member
House, Leanna L. Committee Member
Patterson, Angela N. Committee Member
Keywords
  • Optimization
  • Gaussian Stochastic Process
  • Computer Experiments
  • Bayesian
  • Response Surface
  • DACE
  • Kriging
Date of Defense 2010-08-16
Availability restricted
Abstract
Complex mathematical models are often built to describe a physical process that would otherwise be extremely difficult, too costly or sometimes impossible to analyze. Generally, these

models require solutions to many partial differential equations. As a result, the computer

codes may take a considerable amount of time to complete a single evaluation. A time tested

method of analysis for such models is Monte Carlo simulation. These simulations, however,

often require many model evaluations, making this approach too computationally expensive.

To limit the number of experimental runs, it is common practice to model the departure as

a Gaussian stochastic process (GaSP) to develop an emulator of the computer model. One

advantage for using an emulator is that once a GaSP is fit to realized outcomes, the computer

model is easy to predict in unsampled regions of the input space. This is an attempt to 'characterize' the overall model of the computer code. Most of the historical work on design and analysis of computer experiments focus on the characterization of the computer model over

a large region of interest. However, many practitioners seek other objectives, such as input

screening (Welch et al., 1992), mapping a response surface, or optimization (Jones et al.,

1998). Only recently have researchers begun to consider these topics in the design and analysis of computer experiments. In this dissertation, we explore a more traditional response

surface approach (Myers, Montgomery and Anderson-Cook, 2009) in conjunction with traditional computer experiment methods to search for the optimum response of a process.

For global optimization, Jones, Schonlau, and Welch's (1998) Efficient Global Optimization

(EGO) algorithm remains a benchmark for subsequent research of computer experiments.

We compare the proposed method in this paper to this leading benchmark. Our goal is to

show that response surface methods can be eff ective means towards estimating an optimum

response in the computer experiment framework.

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