{"id":"https://openalex.org/W2030435702","doi":"https://doi.org/10.1002/nav.3800020106","title":"The computational algorithm for the parametric objective function","display_name":"The computational algorithm for the parametric objective function","publication_year":1955,"publication_date":"1955-03-01","ids":{"openalex":"https://openalex.org/W2030435702","doi":"https://doi.org/10.1002/nav.3800020106","mag":"2030435702"},"language":"en","primary_location":{"id":"doi:10.1002/nav.3800020106","doi":"https://doi.org/10.1002/nav.3800020106","is_oa":false,"landing_page_url":"https://doi.org/10.1002/nav.3800020106","pdf_url":null,"source":{"id":"https://openalex.org/S160089246","display_name":"Naval Research Logistics Quarterly","issn_l":"0028-1441","issn":["0028-1441","1931-9193"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Naval Research Logistics Quarterly","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"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/A5024383585","display_name":"Saul I. Gass","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I4210089612","display_name":"United States Air Force","ror":"https://ror.org/006gmme17","country_code":"US","type":"government","lineage":["https://openalex.org/I1330347796","https://openalex.org/I4210089612","https://openalex.org/I4210102105"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Saul Gass","raw_affiliation_strings":["U. S. Air Force"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"U. S. Air Force","institution_ids":["https://openalex.org/I4210089612"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5059080063","display_name":"Thomas L. Saaty","orcid":"https://orcid.org/0000-0002-1304-7663","observed_orcids":["https://orcid.org/0000-0002-1304-7663"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Thomas Saaty","raw_affiliation_strings":["Melpar, Inc"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Melpar, Inc","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.1195,"has_fulltext":false,"cited_by_count":509,"citation_normalized_percentile":{"value":0.83992467,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":99,"max":100},"biblio":{"volume":"2","issue":"1-2","first_page":"39","last_page":"45"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12709","display_name":"Optimization and Mathematical Programming","score":0.961899995803833,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T12709","display_name":"Optimization and Mathematical Programming","score":0.961899995803833,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.01810000091791153,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.01769999973475933,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/linear-programming","display_name":"linear programming","score":0.7059999704360962},{"id":"https://openalex.org/keywords/multiple-objective-functions","display_name":"multiple objective functions","score":0.6840000152587891},{"id":"https://openalex.org/keywords/pareto-optimal-solutions","display_name":"Pareto optimal solutions","score":0.5460000038146973},{"id":"https://openalex.org/keywords/trade-off-analysis","display_name":"trade-off analysis","score":0.48100000619888306},{"id":"https://openalex.org/keywords/relative-weight","display_name":"relative weight","score":0.4350000023841858},{"id":"https://openalex.org/keywords/computer-algorithms","display_name":"computational algorithms","score":0.5429999828338623}],"concepts":[{"id":"https://openalex.org/C205658194","wikidata":"https://www.wikidata.org/wiki/Q4168281","display_name":"Linear-fractional programming","level":3,"score":0.6088130474090576},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6061503887176514},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.6004301905632019},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.597804605960846},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5779502391815186},{"id":"https://openalex.org/C2776045410","wikidata":"https://www.wikidata.org/wiki/Q25111241","display_name":"Parametric programming","level":3,"score":0.5633840560913086},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5492650270462036},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.5483473539352417},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.38293302059173584},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0540003776550293},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1002/nav.3800020106","doi":"https://doi.org/10.1002/nav.3800020106","is_oa":false,"landing_page_url":"https://doi.org/10.1002/nav.3800020106","pdf_url":null,"source":{"id":"https://openalex.org/S160089246","display_name":"Naval Research Logistics Quarterly","issn_l":"0028-1441","issn":["0028-1441","1931-9193"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Naval Research Logistics Quarterly","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":3,"referenced_works":["https://openalex.org/W1967117548","https://openalex.org/W1994984217","https://openalex.org/W3015719403"],"related_works":["https://openalex.org/W288783296","https://openalex.org/W1994984217","https://openalex.org/W246887631","https://openalex.org/W1969908936","https://openalex.org/W1975130936","https://openalex.org/W2197893520","https://openalex.org/W7128999977","https://openalex.org/W2095178757","https://openalex.org/W7041970546","https://openalex.org/W2752240281"],"abstract_inverted_index":{"Abstract":[0],"If":[1],"a":[2],"linear":[3],"programming":[4],"problem":[5],"involves":[6],"two":[7,25],"objective":[8],"functions,":[9],"it":[10],"is":[11],"desirable":[12],"to":[13,23],"learn":[14],"all":[15],"solutions":[16,37],"depending":[17],"on":[18],"the":[19,24],"relative":[20],"weight":[21],"attached":[22],"functions.":[26],"This":[27],"paper":[28],"presents":[29],"details":[30],"of":[31],"an":[32],"algorithm":[33],"which":[34],"finds":[35],"these":[36],"systematically.":[38]},"counts_by_year":[{"year":2026,"cited_by_count":10},{"year":2025,"cited_by_count":23},{"year":2024,"cited_by_count":17},{"year":2023,"cited_by_count":20},{"year":2022,"cited_by_count":15},{"year":2021,"cited_by_count":19},{"year":2020,"cited_by_count":39},{"year":2019,"cited_by_count":17},{"year":2018,"cited_by_count":18},{"year":2017,"cited_by_count":17},{"year":2016,"cited_by_count":21},{"year":2015,"cited_by_count":12},{"year":2014,"cited_by_count":12},{"year":2013,"cited_by_count":57},{"year":2012,"cited_by_count":12}],"updated_date":"2026-11-10T11:39:43.021295","created_date":"2016-06-24T00:00:00"}
