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.
","abstract_html":"<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>","abstract_has_math":false,"creators":["Slaughter, Verlynda Nicole"],"institution":null,"degree_name":"Master of Applied Mathematics","degree_level":"Thesis (restricted to Georgia Southern)","degree_discipline":"Department of Mathematical Sciences","degree_department":null,"school":null,"contributors":["Richard Hathaway","Yingkang Hu"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2004,"date_issued":"2004-01-01T08:00:00Z","date_published":"2004-01-01T08:00:00Z","updated_at":"2026-07-24T02:28:00Z","subjects":["ETD","Interior-point methods","Stratified sampling","Statistics","Applied mathematics"],"languages":[],"rights":[],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"https://digitalcommons.georgiasouthern.edu/etd_legacy/39","outbound_label":"Repository record","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Richard Hathaway","Yingkang Hu"]},{"key":"dc:creator","label":"Author","values":["Slaughter, Verlynda Nicole"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.available","label":"Dc Date Available","values":["1970-01-01T08:00:00Z"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Department of Mathematical Sciences"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Thesis (restricted to Georgia Southern)"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Master of Applied Mathematics"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["ETD","Interior-point methods","Stratified sampling","Statistics","Applied mathematics"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["https://digitalcommons.georgiasouthern.edu/etd_legacy/39"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["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.
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