{"id":{"repo_id":"sdstate","oai_identifier":"oai:openprairie.sdstate.edu:etd-2350"},"canonical_url":"https://search.dev.ndltd.org/etd/sdstate/oai:openprairie.sdstate.edu:etd-2350","repository":{"repo_id":"sdstate","name":"South Dakota State University","base_url":"https://openprairie.sdstate.edu/do/oai/"},"display":{"title":"A Study of Mathematical Modeling of Remaining Useful Life, Assessment, and Prognostics & Health Management (PHM)","abstract":"<p>This research centers on mathematical modeling of remaining useful life (RUL) and its assessment of a device or system. Remaining useful life has always been an essential part of reliability theory. It has also been equally important in various other fields such as actuarial science, engineering management, survival analysis, etc. This thesis explores two different methods of RUL modeling and assessment: lifetime data analysis and degradation based analysis. Traditionally, reliability estimation has been based on analysis of time-to-failure data of a device/system. However, the increase in production of highly reliable devices has led to decrease in failure time data availability. Degradation (device or device performance) analysis is the method of predicting RUL with the help of degradation data collected through real-time performance condition monitoring (CM). The research studies degradation signal and its application in RUL assessment and PHM. Monotonicity of the degradation signal with respect to model error is explored in a simulation using Matlab. The decomposition of observation data for online degradation analysis is also studied. Furthermore, a concept of online RUL assessment computer system using degradation signal is also proposed.</p>","abstract_html":"&lt;p&gt;This research centers on mathematical modeling of remaining useful life (RUL) and its assessment of a device or system. Remaining useful life has always been an essential part of reliability theory. It has also been equally important in various other fields such as actuarial science, engineering management, survival analysis, etc. This thesis explores two different methods of RUL modeling and assessment: lifetime data analysis and degradation based analysis. Traditionally, reliability estimation has been based on analysis of time-to-failure data of a device/system. However, the increase in production of highly reliable devices has led to decrease in failure time data availability. Degradation (device or device performance) analysis is the method of predicting RUL with the help of degradation data collected through real-time performance condition monitoring (CM). The research studies degradation signal and its application in RUL assessment and PHM. Monotonicity of the degradation signal with respect to model error is explored in a simulation using Matlab. The decomposition of observation data for online degradation analysis is also studied. Furthermore, a concept of online RUL assessment computer system using degradation signal is also proposed.&lt;/p&gt;","abstract_has_math":false,"creators":["Maharjan, Manju"],"institution":null,"degree_name":"Master of Science (MS)","degree_level":"Thesis - University Access Only","degree_discipline":"Construction and Operations Management","degree_department":null,"school":null,"contributors":["Huitian Lu"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2012,"date_issued":"2012-01-01T08:00:00Z","date_published":"2012-01-01T08:00:00Z","updated_at":"2026-07-24T04:29:00Z","subjects":["Construction Engineering and Management"],"languages":["en"],"rights":["<p>In Copyright - Educational Use Permitted<br /><a href=\"http://rightsstatements.org/vocab/InC-EDU/1.0/\">http://rightsstatements.org/vocab/InC-EDU/1.0/</a></p>"],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"https://openprairie.sdstate.edu/etd/1356","outbound_label":"Repository record","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Huitian Lu"]},{"key":"dc:creator","label":"Author","values":["Maharjan, Manju"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.available","label":"Dc Date Available","values":["2017-07-27T07:00:00Z"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Construction and Operations Management"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Thesis - University Access Only"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Master of Science (MS)"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Construction Engineering and Management"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["en"]},{"key":"dc:rights","label":"Dc Rights","values":["<p>In Copyright - Educational Use Permitted<br /><a href=\"http://rightsstatements.org/vocab/InC-EDU/1.0/\">http://rightsstatements.org/vocab/InC-EDU/1.0/</a></p>"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["https://openprairie.sdstate.edu/etd/1356"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["<p>This research centers on mathematical modeling of remaining useful life (RUL) and its assessment of a device or system. Remaining useful life has always been an essential part of reliability theory. It has also been equally important in various other fields such as actuarial science, engineering management, survival analysis, etc. This thesis explores two different methods of RUL modeling and assessment: lifetime data analysis and degradation based analysis. Traditionally, reliability estimation has been based on analysis of time-to-failure data of a device/system. However, the increase in production of highly reliable devices has led to decrease in failure time data availability. Degradation (device or device performance) analysis is the method of predicting RUL with the help of degradation data collected through real-time performance condition monitoring (CM). The research studies degradation signal and its application in RUL assessment and PHM. Monotonicity of the degradation signal with respect to model error is explored in a simulation using Matlab. The decomposition of observation data for online degradation analysis is also studied. Furthermore, a concept of online RUL assessment computer system using degradation signal is also proposed.</p>"]},{"key":"dc:title","label":"Title","values":["A Study of Mathematical Modeling of Remaining Useful Life, Assessment, and Prognostics & Health Management (PHM)"]}]}],"canonical_facts":{"dc:contributor":["Huitian Lu"],"dc:creator":["Maharjan, Manju"],"dc:date.available":["2017-07-27T07:00:00Z"],"dc:description.abstract":["<p>This research centers on mathematical modeling of remaining useful life (RUL) and its assessment of a device or system. Remaining useful life has always been an essential part of reliability theory. It has also been equally important in various other fields such as actuarial science, engineering management, survival analysis, etc. This thesis explores two different methods of RUL modeling and assessment: lifetime data analysis and degradation based analysis. Traditionally, reliability estimation has been based on analysis of time-to-failure data of a device/system. However, the increase in production of highly reliable devices has led to decrease in failure time data availability. Degradation (device or device performance) analysis is the method of predicting RUL with the help of degradation data collected through real-time performance condition monitoring (CM). The research studies degradation signal and its application in RUL assessment and PHM. Monotonicity of the degradation signal with respect to model error is explored in a simulation using Matlab. The decomposition of observation data for online degradation analysis is also studied. Furthermore, a concept of online RUL assessment computer system using degradation signal is also proposed.</p>"],"dc:identifier":["https://openprairie.sdstate.edu/etd/1356"],"dc:language":["en"],"dc:rights":["<p>In Copyright - Educational Use Permitted<br /><a href=\"http://rightsstatements.org/vocab/InC-EDU/1.0/\">http://rightsstatements.org/vocab/InC-EDU/1.0/</a></p>"],"dc:subject":["Construction Engineering and Management"],"dc:title":["A Study of Mathematical Modeling of Remaining Useful Life, Assessment, and Prognostics & Health Management (PHM)"],"thesis:degree_discipline":["Construction and Operations Management"],"thesis:degree_level":["Thesis - University Access Only"],"thesis:degree_name":["Master of Science (MS)"]},"updated_at":"2026-07-24T04:29:00Z"}