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Georgia Southern University

A Conic Quadratic Interior-Point Method for a Class of Stratified Sampling Problems

Abstract

dc:description.abstract

<p>The stratified sampling problem is a very important problem that arises in different applications and very often in statistics The purpose of this thesis is to numerically test two interior point methods on the stratified sampling problem. First, a homogeneous conic quadratic interior point method was used to solve the stratified sampling problem as a reformulated conic quadratic problem Then, a nonlinear homogeneous interior point method was used to solve the stratified sampling problem as a reformulated monotone complementarity problem Finally, the methods were compared by CPU time and the number of iterations showing that the first approach works better for problems with higher dimensions.</p>

Degree

thesis:*
Name thesis:degree_name
Master of Applied Mathematics
Level thesis:degree_level
Thesis (restricted to Georgia Southern)
Discipline thesis:degree_discipline
Department of Mathematical Sciences
Year dc:date.available
2004

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • Slaughter, Verlynda Nicole
Contributors dc:contributor
  • Richard Hathaway
  • Yingkang Hu

Subjects

dc:subject × 5

Identifiers

dc:identifier.*
OAI identifier oai:identifier
oai:digitalcommons.georgiasouthern.edu:etd_legacy-1188

Chain of custody

source
Harvested from
Georgia Southern University
Base URL
digitalcommons.georgiasouthern.edu/do/oai/
Last updated
2026-07-24
Source record
OAI-PMH GetRecord
citation

Slaughter, Verlynda Nicole. A Conic Quadratic Interior-Point Method for a Class of Stratified Sampling Problems. Thesis (restricted to Georgia Southern) thesis, 2004. https://digitalcommons.georgiasouthern.edu/etd_legacy/39