{"id":"https://openalex.org/W2154416310","doi":"https://doi.org/10.1017/s0890060400001992","title":"An optimization approach to order of magnitude reasoning","display_name":"An optimization approach to order of magnitude reasoning","publication_year":1994,"publication_date":"1994-01-01","ids":{"openalex":"https://openalex.org/W2154416310","doi":"https://doi.org/10.1017/s0890060400001992","mag":"2154416310"},"language":"en","primary_location":{"id":"doi:10.1017/s0890060400001992","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0890060400001992","pdf_url":null,"source":{"id":"https://openalex.org/S4210193102","display_name":"Artificial intelligence for engineering design analysis and manufacturing","issn_l":"0890-0604","issn":["0890-0604","1469-1760"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Artificial Intelligence for Engineering Design, Analysis and Manufacturing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5057936833","display_name":"Jayant Kalagnanam","orcid":"https://orcid.org/0009-0009-5051-2606"},"institutions":[{"id":"https://openalex.org/I74973139","display_name":"Carnegie Mellon University","ror":"https://ror.org/05x2bcf33","country_code":"US","type":"education","lineage":["https://openalex.org/I74973139"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Jayant R. Kalagnanam","raw_affiliation_strings":["Center for Energy & Environmental Studies, Department of Engineering & Public Policy, Carnegie Mellon University, Pittsburgh, PA 15213, U.S.A"],"affiliations":[{"raw_affiliation_string":"Center for Energy & Environmental Studies, Department of Engineering & Public Policy, Carnegie Mellon University, Pittsburgh, PA 15213, U.S.A","institution_ids":["https://openalex.org/I74973139"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5059258165","display_name":"Urmila M. Diwekar","orcid":"https://orcid.org/0000-0002-0933-5865"},"institutions":[{"id":"https://openalex.org/I74973139","display_name":"Carnegie Mellon University","ror":"https://ror.org/05x2bcf33","country_code":"US","type":"education","lineage":["https://openalex.org/I74973139"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Urmila M. Diwekar","raw_affiliation_strings":["Center for Energy & Environmental Studies, Department of Engineering & Public Policy, Carnegie Mellon University, Pittsburgh, PA 15213, U.S.A"],"affiliations":[{"raw_affiliation_string":"Center for Energy & Environmental Studies, Department of Engineering & Public Policy, Carnegie Mellon University, Pittsburgh, PA 15213, U.S.A","institution_ids":["https://openalex.org/I74973139"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5057936833"],"corresponding_institution_ids":["https://openalex.org/I74973139"],"apc_list":null,"apc_paid":null,"fwci":0.5451,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.76462949,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"8","issue":"3","first_page":"207","last_page":"217"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10906","display_name":"AI-based Problem Solving and Planning","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10906","display_name":"AI-based Problem Solving and Planning","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11596","display_name":"Constraint Satisfaction and Optimization","score":0.9980999827384949,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9847000241279602,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.6825854778289795},{"id":"https://openalex.org/keywords/qualitative-reasoning","display_name":"Qualitative reasoning","score":0.5899454951286316},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5844249725341797},{"id":"https://openalex.org/keywords/abstraction","display_name":"Abstraction","score":0.5495567917823792},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5386255979537964},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5378074049949646},{"id":"https://openalex.org/keywords/magnitude","display_name":"Magnitude (astronomy)","score":0.5368571281433105},{"id":"https://openalex.org/keywords/relation","display_name":"Relation (database)","score":0.5192270874977112},{"id":"https://openalex.org/keywords/constraint-satisfaction-problem","display_name":"Constraint satisfaction problem","score":0.46460217237472534},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.44730138778686523},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4377753734588623},{"id":"https://openalex.org/keywords/constraint-satisfaction","display_name":"Constraint satisfaction","score":0.420375794172287},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3874521851539612},{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.1306433081626892},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.11640146374702454},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.1036054790019989}],"concepts":[{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.6825854778289795},{"id":"https://openalex.org/C83725634","wikidata":"https://www.wikidata.org/wiki/Q7268699","display_name":"Qualitative reasoning","level":2,"score":0.5899454951286316},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5844249725341797},{"id":"https://openalex.org/C124304363","wikidata":"https://www.wikidata.org/wiki/Q673661","display_name":"Abstraction","level":2,"score":0.5495567917823792},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5386255979537964},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5378074049949646},{"id":"https://openalex.org/C126691448","wikidata":"https://www.wikidata.org/wiki/Q2028919","display_name":"Magnitude (astronomy)","level":2,"score":0.5368571281433105},{"id":"https://openalex.org/C25343380","wikidata":"https://www.wikidata.org/wiki/Q277521","display_name":"Relation (database)","level":2,"score":0.5192270874977112},{"id":"https://openalex.org/C199622910","wikidata":"https://www.wikidata.org/wiki/Q1128326","display_name":"Constraint satisfaction problem","level":3,"score":0.46460217237472534},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.44730138778686523},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4377753734588623},{"id":"https://openalex.org/C44616089","wikidata":"https://www.wikidata.org/wiki/Q30158686","display_name":"Constraint satisfaction","level":3,"score":0.420375794172287},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3874521851539612},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.1306433081626892},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.11640146374702454},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1036054790019989},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.0},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1017/s0890060400001992","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0890060400001992","pdf_url":null,"source":{"id":"https://openalex.org/S4210193102","display_name":"Artificial intelligence for engineering design analysis and manufacturing","issn_l":"0890-0604","issn":["0890-0604","1469-1760"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Artificial Intelligence for Engineering Design, Analysis and Manufacturing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.4300000071525574,"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W25243919","https://openalex.org/W647597031","https://openalex.org/W2003956828","https://openalex.org/W2005003668","https://openalex.org/W2017103958","https://openalex.org/W2036568956","https://openalex.org/W2053190303","https://openalex.org/W2054168093","https://openalex.org/W2057242189","https://openalex.org/W2635301141","https://openalex.org/W3022710057","https://openalex.org/W6739406432"],"related_works":["https://openalex.org/W2252314269","https://openalex.org/W2161128834","https://openalex.org/W2091348864","https://openalex.org/W2569549435","https://openalex.org/W2097415053","https://openalex.org/W2012141606","https://openalex.org/W1550482496","https://openalex.org/W2784687883","https://openalex.org/W2102858635","https://openalex.org/W2012694101"],"abstract_inverted_index":{"Abstract":[0],"An":[1],"approach":[2,83,101],"for":[3,41,126],"transforming":[4],"the":[5,26,42,48,51,67,71,78,94,112],"order":[6,23,27],"of":[7,28,47,58,63,74,114,120],"magnitude":[8,29],"relation":[9,30],"between":[10,31,50],"two":[11,33,52,56],"variables":[12],"into":[13,122],"an":[14],"algebraic":[15],"equality":[16],"or":[17],"inequality":[18],"constraint":[19,96],"is":[20,39,84],"provided.":[21],"In":[22],"to":[24,55,66,77,86,93],"derive":[25],"any":[32],"variables,":[34,53],"a":[35,103],"nonlinear":[36],"optimization":[37,82],"problem":[38],"solved":[40],"minimum":[43],"and":[44,70],"maximum":[45],"values":[46],"ratio":[49],"subject":[54],"classes":[57],"constraints.":[59],"The":[60,81],"first":[61],"class":[62,73],"constraints":[64,75],"corresponds":[65,76],"quantitative":[68,129],"model":[69],"second":[72],"qualitative":[79,115],"model.":[80],"shown":[85],"provide":[87],"more":[88],"precise":[89],"inferences":[90],"as":[91],"compared":[92],"conventional":[95],"satisfaction":[97],"approaches.":[98],"Moreover,":[99],"this":[100],"provides":[102],"crucial":[104],"step":[105],"in":[106],"developing":[107],"unified":[108],"frameworks":[109,124],"that":[110],"allow":[111],"incorporation":[113],"information":[116],"at":[117],"various":[118],"levels":[119],"abstraction":[121],"numerical":[123],"used":[125],"reasoning":[127],"with":[128],"models.":[130]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
