Degree Type

Dissertation

Date of Award

1994

Degree Name

Doctor of Philosophy

Department

Statistics

First Advisor

Stephen B. Vardeman

Second Advisor

Herbert T. David

Abstract

Sampling and adjustment strategies for a standard optimal control problem incorporating a non-random drift per time period are considered;The cost associated with an l-period problem in which a fixed nonzero, potentially non-integer sample size is used at each time period and the adjustment made at each time period is the sum of a fixed proportion, [alpha], 0 < [alpha] ≤ 1, of the perceived deviation from target and a fixed proportion, [beta], 0 < [beta] ≤ 1, of the non-random drift is derived. The optimal sample size to use in the "infinite horizon" case is defined to be the sample size which minimizes the limiting average cost function. The optimal adjustment strategy is defined similarly in terms of the values of [alpha] and [beta] which minimize this function;Dynamic programming is used to determine the potentially non-integer sample sizes and adjustments which will minimize the cost function associated with the l-period problem. The limiting behavior of these sample sizes and adjustments is used to define the optimal sampling and adjustment strategies for the "infinite horizon" case;The penalty associated with a restriction to integer sample sizes is discussed, and alternative sampling strategies using integer sample sizes are proposed for several cases where the penalty is high.

Publisher

Digital Repository @ Iowa State University, http://lib.dr.iastate.edu/

Copyright Owner

Gerri M. Dunnigan

Language

en

Proquest ID

AAI9503548

File Format

application/pdf

File Size

84 pages

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