{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/85921"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/85921","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"The Extinction Probabilities of Nuclear Assemblies: A Sensitivity Study","abstract":"It is thus the purpose of this work to investigate the nature of input parameter variation-induced effects on the extinction probabilities of certain types of nuclear assemblies. A broadly defined class of mathematical analysis techniques known as sensitivity analysis (and in particular, a theoretical construct known as the Gâteaux-variation) will be employed to calculate these effects. The analysis will be left as general as possible within the context of a clean, stochastic point model, though examples of interest to the consideration of fast reactors near start-up time will also be considered. In addition to providing situation-specific information regarding input parameter influence on the start-up behavior of fast reactors, the primary goal of this work is to maximize the usefulness of the generalized developments as applied to other potential problem classes of interest.","abstract_html":"It is thus the purpose of this work to investigate the nature of input parameter variation-induced effects on the extinction probabilities of certain types of nuclear assemblies. A broadly defined class of mathematical analysis techniques known as sensitivity analysis (and in particular, a theoretical construct known as the Gâteaux-variation) will be employed to calculate these effects. The analysis will be left as general as possible within the context of a clean, stochastic point model, though examples of interest to the consideration of fast reactors near start-up time will also be considered. In addition to providing situation-specific information regarding input parameter influence on the start-up behavior of fast reactors, the primary goal of this work is to maximize the usefulness of the generalized developments as applied to other potential problem classes of interest.","abstract_has_math":false,"creators":["Ramsey, Scott Douglas"],"institution":"University of Illinois at Urbana-Champaign","degree_name":"Ph.D.","degree_level":"Dissertation","degree_discipline":"Nuclear Engineering","degree_department":null,"school":null,"contributors":["Axford, Roy A."],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2015,"date_issued":"2015-09-28T14:51:09Z","date_published":"2015-09-28T14:51:09Z","updated_at":"2026-07-22T22:26:26Z","subjects":["Physics, Nuclear"],"languages":["eng"],"rights":[],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["(MiAaPQ)AAI3363067"],"render_values":[{"text":"(MiAaPQ)AAI3363067","href":null,"code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/2142/85921","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Axford, Roy A."]},{"key":"dc:creator","label":"Author","values":["Ramsey, Scott Douglas"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2015-09-28T14:51:09Z","10000-01-01","2009"]},{"key":"dc:type","label":"Dc Type","values":["text"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Nuclear Engineering"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Dissertation"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Ph.D."]},{"key":"thesis:institution_name","label":"Thesis Institution Name","values":["University of Illinois at Urbana-Champaign"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Physics, Nuclear"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["eng"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["http://hdl.handle.net/2142/85921","(MiAaPQ)AAI3363067"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["It is thus the purpose of this work to investigate the nature of input parameter variation-induced effects on the extinction probabilities of certain types of nuclear assemblies. 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