{"id":"https://openalex.org/W1993063556","doi":"https://doi.org/10.1007/bf02592091","title":"A strongly polynomial algorithm for a concave production-transportation problem with a fixed number of nonlinear variables","display_name":"A strongly polynomial algorithm for a concave production-transportation problem with a fixed number of nonlinear variables","publication_year":1996,"publication_date":"1996-03-01","ids":{"openalex":"https://openalex.org/W1993063556","doi":"https://doi.org/10.1007/bf02592091","mag":"1993063556"},"language":"en","primary_location":{"id":"doi:10.1007/bf02592091","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf02592091","pdf_url":null,"source":{"id":"https://openalex.org/S193920097","display_name":"Mathematical Programming","issn_l":"0025-5610","issn":["0025-5610","1436-4646"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Programming","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/A5112758614","display_name":"Ho\u00e0ng T\u1ee5y","orcid":null},"institutions":[{"id":"https://openalex.org/I102134673","display_name":"Link\u00f6ping University","ror":"https://ror.org/05ynxx418","country_code":"SE","type":"education","lineage":["https://openalex.org/I102134673"]}],"countries":["SE"],"is_corresponding":true,"raw_author_name":"Hoang Tuy","raw_affiliation_strings":["Department of Mathematics, Division of Optimization, Link\u00f6ping Institute of Technology, S-58183, Link\u00f6ping, Sweden","Department of Mathematics, Division of Optimization, Link\u00f6ping Institute of Technology, Link\u00f6ping, Sweden S-58183#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Division of Optimization, Link\u00f6ping Institute of Technology, S-58183, Link\u00f6ping, Sweden","institution_ids":["https://openalex.org/I102134673"]},{"raw_affiliation_string":"Department of Mathematics, Division of Optimization, Link\u00f6ping Institute of Technology, Link\u00f6ping, Sweden S-58183#TAB#","institution_ids":["https://openalex.org/I102134673"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5043030042","display_name":"Saied Ghannadan","orcid":null},"institutions":[{"id":"https://openalex.org/I102134673","display_name":"Link\u00f6ping University","ror":"https://ror.org/05ynxx418","country_code":"SE","type":"education","lineage":["https://openalex.org/I102134673"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Saied Ghannadan","raw_affiliation_strings":["Department of Mathematics, Division of Optimization, Link\u00f6ping Institute of Technology, S-58183, Link\u00f6ping, Sweden","Department of Mathematics, Division of Optimization, Link\u00f6ping Institute of Technology, Link\u00f6ping, Sweden S-58183#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Division of Optimization, Link\u00f6ping Institute of Technology, S-58183, Link\u00f6ping, Sweden","institution_ids":["https://openalex.org/I102134673"]},{"raw_affiliation_string":"Department of Mathematics, Division of Optimization, Link\u00f6ping Institute of Technology, Link\u00f6ping, Sweden S-58183#TAB#","institution_ids":["https://openalex.org/I102134673"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011299350","display_name":"Athanasios Migdalas","orcid":"https://orcid.org/0000-0001-8473-3663"},"institutions":[{"id":"https://openalex.org/I102134673","display_name":"Link\u00f6ping University","ror":"https://ror.org/05ynxx418","country_code":"SE","type":"education","lineage":["https://openalex.org/I102134673"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Athanasios Migdalas","raw_affiliation_strings":["Department of Mathematics, Division of Optimization, Link\u00f6ping Institute of Technology, S-58183, Link\u00f6ping, Sweden","Department of Mathematics, Division of Optimization, Link\u00f6ping Institute of Technology, Link\u00f6ping, Sweden S-58183#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Division of Optimization, Link\u00f6ping Institute of Technology, S-58183, Link\u00f6ping, Sweden","institution_ids":["https://openalex.org/I102134673"]},{"raw_affiliation_string":"Department of Mathematics, Division of Optimization, Link\u00f6ping Institute of Technology, Link\u00f6ping, Sweden S-58183#TAB#","institution_ids":["https://openalex.org/I102134673"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5082032400","display_name":"Peter V\u00e4rbrand","orcid":null},"institutions":[{"id":"https://openalex.org/I102134673","display_name":"Link\u00f6ping University","ror":"https://ror.org/05ynxx418","country_code":"SE","type":"education","lineage":["https://openalex.org/I102134673"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Peter V\u00e4rbrand","raw_affiliation_strings":["Department of Mathematics, Division of Optimization, Link\u00f6ping Institute of Technology, S-58183, Link\u00f6ping, Sweden","Department of Mathematics, Division of Optimization, Link\u00f6ping Institute of Technology, Link\u00f6ping, Sweden S-58183#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Division of Optimization, Link\u00f6ping Institute of Technology, S-58183, Link\u00f6ping, Sweden","institution_ids":["https://openalex.org/I102134673"]},{"raw_affiliation_string":"Department of Mathematics, Division of Optimization, Link\u00f6ping Institute of Technology, Link\u00f6ping, Sweden S-58183#TAB#","institution_ids":["https://openalex.org/I102134673"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5112758614"],"corresponding_institution_ids":["https://openalex.org/I102134673"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":3.3581,"has_fulltext":false,"cited_by_count":50,"citation_normalized_percentile":{"value":0.91044776,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"72","issue":"3","first_page":"229","last_page":"258"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12709","display_name":"Optimization and Mathematical Programming","score":0.9979000091552734,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12709","display_name":"Optimization and Mathematical Programming","score":0.9979000091552734,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10698","display_name":"Transportation Planning and Optimization","score":0.989300012588501,"subfield":{"id":"https://openalex.org/subfields/3313","display_name":"Transportation"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11502","display_name":"Facility Location and Emergency Management","score":0.9814000129699707,"subfield":{"id":"https://openalex.org/subfields/1407","display_name":"Organizational Behavior and Human Resource Management"},"field":{"id":"https://openalex.org/fields/14","display_name":"Business, Management and Accounting"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8126497864723206},{"id":"https://openalex.org/keywords/transportation-theory","display_name":"Transportation theory","score":0.7398996353149414},{"id":"https://openalex.org/keywords/monotonic-function","display_name":"Monotonic function","score":0.7298249006271362},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6244657635688782},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5618236660957336},{"id":"https://openalex.org/keywords/parametric-statistics","display_name":"Parametric statistics","score":0.5555232763290405},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5386962294578552},{"id":"https://openalex.org/keywords/concave-function","display_name":"Concave function","score":0.5378865599632263},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5263246893882751},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.5019962787628174},{"id":"https://openalex.org/keywords/production","display_name":"Production (economics)","score":0.4978787899017334},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3437226414680481},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.266623318195343},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.10600066184997559},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.07056370377540588}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8126497864723206},{"id":"https://openalex.org/C31829261","wikidata":"https://www.wikidata.org/wiki/Q1929885","display_name":"Transportation theory","level":2,"score":0.7398996353149414},{"id":"https://openalex.org/C72169020","wikidata":"https://www.wikidata.org/wiki/Q194404","display_name":"Monotonic function","level":2,"score":0.7298249006271362},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6244657635688782},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5618236660957336},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.5555232763290405},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5386962294578552},{"id":"https://openalex.org/C66690126","wikidata":"https://www.wikidata.org/wiki/Q2914302","display_name":"Concave function","level":3,"score":0.5378865599632263},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5263246893882751},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.5019962787628174},{"id":"https://openalex.org/C2778348673","wikidata":"https://www.wikidata.org/wiki/Q739302","display_name":"Production (economics)","level":2,"score":0.4978787899017334},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3437226414680481},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.266623318195343},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.10600066184997559},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.07056370377540588},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"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/C139719470","wikidata":"https://www.wikidata.org/wiki/Q39680","display_name":"Macroeconomics","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},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/bf02592091","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf02592091","pdf_url":null,"source":{"id":"https://openalex.org/S193920097","display_name":"Mathematical Programming","issn_l":"0025-5610","issn":["0025-5610","1436-4646"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Programming","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320327344","display_name":"Marcus och Amalia Wallenbergs minnesfond","ror":"https://ror.org/024f3s581"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":40,"referenced_works":["https://openalex.org/W23042234","https://openalex.org/W1505731132","https://openalex.org/W1964399289","https://openalex.org/W1964903681","https://openalex.org/W1968111265","https://openalex.org/W1968119063","https://openalex.org/W1973767752","https://openalex.org/W1994795725","https://openalex.org/W2000960987","https://openalex.org/W2010997912","https://openalex.org/W2012438528","https://openalex.org/W2031494345","https://openalex.org/W2031855518","https://openalex.org/W2033151347","https://openalex.org/W2038676869","https://openalex.org/W2041603754","https://openalex.org/W2051047596","https://openalex.org/W2053352956","https://openalex.org/W2055544843","https://openalex.org/W2062200659","https://openalex.org/W2070965920","https://openalex.org/W2080443364","https://openalex.org/W2088659184","https://openalex.org/W2101240310","https://openalex.org/W2102738679","https://openalex.org/W2107857629","https://openalex.org/W2114616381","https://openalex.org/W2150154671","https://openalex.org/W2157924277","https://openalex.org/W2171985270","https://openalex.org/W2408720304","https://openalex.org/W2496406001","https://openalex.org/W2584216746","https://openalex.org/W2610216665","https://openalex.org/W4233915855","https://openalex.org/W4237611185","https://openalex.org/W4246092883","https://openalex.org/W4256185527","https://openalex.org/W4301435544","https://openalex.org/W6714357362"],"related_works":["https://openalex.org/W2011101200","https://openalex.org/W2329254523","https://openalex.org/W2377790209","https://openalex.org/W2117192194","https://openalex.org/W2379833347","https://openalex.org/W2002639203","https://openalex.org/W1693001741","https://openalex.org/W1993063556","https://openalex.org/W3177666057","https://openalex.org/W1507850363"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
