{"id":"https://openalex.org/W2803836921","doi":"https://doi.org/10.1007/s10898-018-0661-y","title":"The fixed charge transportation problem: a strong formulation based on Lagrangian decomposition and column generation","display_name":"The fixed charge transportation problem: a strong formulation based on Lagrangian decomposition and column generation","publication_year":2018,"publication_date":"2018-05-18","ids":{"openalex":"https://openalex.org/W2803836921","doi":"https://doi.org/10.1007/s10898-018-0661-y","mag":"2803836921"},"language":"en","primary_location":{"id":"doi:10.1007/s10898-018-0661-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10898-018-0661-y","pdf_url":null,"source":{"id":"https://openalex.org/S115925768","display_name":"Journal of Global Optimization","issn_l":"0925-5001","issn":["0925-5001","1573-2916"],"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":"Journal of Global Optimization","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/A5101879970","display_name":"Yixin Zhao","orcid":"https://orcid.org/0000-0003-4313-0123"},"institutions":[{"id":"https://openalex.org/I36399199","display_name":"Nanjing University of Science and Technology","ror":"https://ror.org/00xp9wg62","country_code":"CN","type":"education","lineage":["https://openalex.org/I36399199"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yixin Zhao","raw_affiliation_strings":["School of Automation, Nanjing University of Science and Technology, Nanjing, China"],"affiliations":[{"raw_affiliation_string":"School of Automation, Nanjing University of Science and Technology, Nanjing, China","institution_ids":["https://openalex.org/I36399199"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5074200057","display_name":"Torbj\u00f6rn Larsson","orcid":"https://orcid.org/0000-0003-2094-7376"},"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":"Torbj\u00f6rn Larsson","raw_affiliation_strings":["Department of Mathematics, Link\u00f6ping University, Link\u00f6ping, Sweden"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Link\u00f6ping University, Link\u00f6ping, Sweden","institution_ids":["https://openalex.org/I102134673"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5053900371","display_name":"Elina R\u00f6nnberg","orcid":"https://orcid.org/0000-0002-2081-2888"},"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":"Elina R\u00f6nnberg","raw_affiliation_strings":["Department of Mathematics, Link\u00f6ping University, Link\u00f6ping, Sweden"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Link\u00f6ping University, Link\u00f6ping, Sweden","institution_ids":["https://openalex.org/I102134673"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5050062467","display_name":"P\u00e3nos M. Pardalos","orcid":"https://orcid.org/0000-0001-9623-8053"},"institutions":[{"id":"https://openalex.org/I33213144","display_name":"University of Florida","ror":"https://ror.org/02y3ad647","country_code":"US","type":"education","lineage":["https://openalex.org/I33213144"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Panos M. Pardalos","raw_affiliation_strings":["Department of Industrial and System Engineering, University of Florida, Gainesville, USA"],"affiliations":[{"raw_affiliation_string":"Department of Industrial and System Engineering, University of Florida, Gainesville, USA","institution_ids":["https://openalex.org/I33213144"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5101879970"],"corresponding_institution_ids":["https://openalex.org/I36399199"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2780},"apc_paid":null,"fwci":1.4954,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.83033015,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"72","issue":"3","first_page":"517","last_page":"538"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12709","display_name":"Optimization and Mathematical Programming","score":0.9997000098228455,"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":0.9997000098228455,"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/T10969","display_name":"Water resources management and optimization","score":0.9438999891281128,"subfield":{"id":"https://openalex.org/subfields/2212","display_name":"Ocean 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/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9125999808311462,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/column-generation","display_name":"Column generation","score":0.8652247190475464},{"id":"https://openalex.org/keywords/decomposition","display_name":"Decomposition","score":0.7186366319656372},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7116156816482544},{"id":"https://openalex.org/keywords/lagrangian-relaxation","display_name":"Lagrangian relaxation","score":0.6858611106872559},{"id":"https://openalex.org/keywords/lagrangian","display_name":"Lagrangian","score":0.6244868040084839},{"id":"https://openalex.org/keywords/fixed-charge","display_name":"Fixed charge","score":0.577907383441925},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5397596955299377},{"id":"https://openalex.org/keywords/decomposition-method","display_name":"Decomposition method (queueing theory)","score":0.5173439383506775},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.49988532066345215},{"id":"https://openalex.org/keywords/dual","display_name":"Dual (grammatical number)","score":0.4717358350753784},{"id":"https://openalex.org/keywords/column","display_name":"Column (typography)","score":0.43217992782592773},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.42123979330062866},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3493877053260803},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.1255168616771698},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.11766031384468079}],"concepts":[{"id":"https://openalex.org/C168956720","wikidata":"https://www.wikidata.org/wiki/Q3123181","display_name":"Column generation","level":2,"score":0.8652247190475464},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.7186366319656372},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7116156816482544},{"id":"https://openalex.org/C91765299","wikidata":"https://www.wikidata.org/wiki/Q3424292","display_name":"Lagrangian relaxation","level":2,"score":0.6858611106872559},{"id":"https://openalex.org/C53469067","wikidata":"https://www.wikidata.org/wiki/Q505735","display_name":"Lagrangian","level":2,"score":0.6244868040084839},{"id":"https://openalex.org/C2984553159","wikidata":"https://www.wikidata.org/wiki/Q13579421","display_name":"Fixed charge","level":2,"score":0.577907383441925},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5397596955299377},{"id":"https://openalex.org/C2778258933","wikidata":"https://www.wikidata.org/wiki/Q16918986","display_name":"Decomposition method (queueing theory)","level":2,"score":0.5173439383506775},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.49988532066345215},{"id":"https://openalex.org/C2780980858","wikidata":"https://www.wikidata.org/wiki/Q110022","display_name":"Dual (grammatical number)","level":2,"score":0.4717358350753784},{"id":"https://openalex.org/C2780551164","wikidata":"https://www.wikidata.org/wiki/Q2306599","display_name":"Column (typography)","level":3,"score":0.43217992782592773},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.42123979330062866},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3493877053260803},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.1255168616771698},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.11766031384468079},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","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/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C13355873","wikidata":"https://www.wikidata.org/wiki/Q2920850","display_name":"Connection (principal bundle)","level":2,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","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/C41999313","wikidata":"https://www.wikidata.org/wiki/Q489328","display_name":"Molecular physics","level":1,"score":0.0},{"id":"https://openalex.org/C124952713","wikidata":"https://www.wikidata.org/wiki/Q8242","display_name":"Literature","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10898-018-0661-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10898-018-0661-y","pdf_url":null,"source":{"id":"https://openalex.org/S115925768","display_name":"Journal of Global Optimization","issn_l":"0925-5001","issn":["0925-5001","1573-2916"],"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":"Journal of Global Optimization","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:spr:jglopt:v:72:y:2018:i:3:d:10.1007_s10898-018-0661-y","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10898-018-0661-y","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":48,"referenced_works":["https://openalex.org/W561237418","https://openalex.org/W1546581765","https://openalex.org/W1882911873","https://openalex.org/W1903816159","https://openalex.org/W1948965050","https://openalex.org/W1963542516","https://openalex.org/W1967088945","https://openalex.org/W1970355999","https://openalex.org/W1970848641","https://openalex.org/W1972905263","https://openalex.org/W1975975325","https://openalex.org/W1976440380","https://openalex.org/W1977195750","https://openalex.org/W1982945930","https://openalex.org/W1985951797","https://openalex.org/W1989023497","https://openalex.org/W1990176046","https://openalex.org/W1997274710","https://openalex.org/W1999527816","https://openalex.org/W2001614877","https://openalex.org/W2002603218","https://openalex.org/W2009608161","https://openalex.org/W2017316844","https://openalex.org/W2018958887","https://openalex.org/W2022618845","https://openalex.org/W2033791397","https://openalex.org/W2033982221","https://openalex.org/W2038700684","https://openalex.org/W2042225184","https://openalex.org/W2045250339","https://openalex.org/W2049536263","https://openalex.org/W2066787028","https://openalex.org/W2068683213","https://openalex.org/W2069737189","https://openalex.org/W2071019616","https://openalex.org/W2073925186","https://openalex.org/W2083957197","https://openalex.org/W2091836882","https://openalex.org/W2099813847","https://openalex.org/W2121501602","https://openalex.org/W2130812847","https://openalex.org/W2136867876","https://openalex.org/W2146120747","https://openalex.org/W2167685210","https://openalex.org/W2607781067","https://openalex.org/W2786741601","https://openalex.org/W2949478753","https://openalex.org/W4256046638"],"related_works":["https://openalex.org/W2100732011","https://openalex.org/W3149469165","https://openalex.org/W3122023803","https://openalex.org/W3204139991","https://openalex.org/W1535844088","https://openalex.org/W4313484281","https://openalex.org/W2064313537","https://openalex.org/W4368363623","https://openalex.org/W2740877406","https://openalex.org/W181997498"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
