First Advisor

Wayne Wakeland

Date of Publication

Winter 3-4-2014

Document Type


Degree Name

Doctor of Philosophy (Ph.D.) in Systems Science: Mathematics


Systems Science




Response surfaces (Statistics) -- Research, Experimental design -- Research -- Statistical methods, Simulation methods -- Research, Mathematical optimization -- Methodology, Dynamic programming -- Research



Physical Description

1 online resource (xvii, 222 pages)


Statistical research can be more difficult to plan than other kinds of projects, since the research must adapt as knowledge is gained. This dissertation establishes a formal language and methodology for designing experimental research strategies with limited resources. It is a mathematically rigorous extension of a sequential and adaptive form of statistical research called response surface methodology. It uses sponsor-given information, conditions, and resource constraints to decompose an overall project into individual stages. At each stage, a "parent" decision-maker determines what design of experimentation to do for its stage of research, and adapts to the feedback from that research's potential "children", each of whom deal with a different possible state of knowledge resulting from the experimentation of the "parent". The research of this dissertation extends the real-world rigor of the statistical field of design of experiments to develop an deterministic, adaptive algorithm that produces deterministically generated, reproducible, testable, defendable, adaptive, resource-constrained multi-stage experimental schedules without having to spend physical resource.


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