{"id":"https://openalex.org/W2912510233","doi":"https://doi.org/10.1007/978-3-030-13709-0_24","title":"Strong Duality of the Kantorovich-Rubinstein Mass Transshipment Problem in Metric Spaces","display_name":"Strong Duality of the Kantorovich-Rubinstein Mass Transshipment Problem in Metric Spaces","publication_year":2019,"publication_date":"2019-01-01","ids":{"openalex":"https://openalex.org/W2912510233","doi":"https://doi.org/10.1007/978-3-030-13709-0_24","mag":"2912510233"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-030-13709-0_24","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-030-13709-0_24","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","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/A5025023047","display_name":"Jos\u00e9 Rigoberto Gabriel-Arg\u00fcelles","orcid":null},"institutions":[{"id":"https://openalex.org/I147280213","display_name":"Universidad Veracruzana","ror":"https://ror.org/03efxn362","country_code":"MX","type":"education","lineage":["https://openalex.org/I147280213"]}],"countries":["MX"],"is_corresponding":true,"raw_author_name":"Jos\u00e9 Rigoberto Gabriel-Arg\u00fcelles","raw_affiliation_strings":["Facultad de Matem\u00e1ticas, Universidad Veracruzana, Xalapa, Veracruz, Mexico"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Facultad de Matem\u00e1ticas, Universidad Veracruzana, Xalapa, Veracruz, Mexico","institution_ids":["https://openalex.org/I147280213"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5050007180","display_name":"Martha Lorena Avenda\u00f1o\u2010Garrido","orcid":"https://orcid.org/0000-0001-7956-8958"},"institutions":[{"id":"https://openalex.org/I147280213","display_name":"Universidad Veracruzana","ror":"https://ror.org/03efxn362","country_code":"MX","type":"education","lineage":["https://openalex.org/I147280213"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Martha Lorena Avenda\u00f1o-Garrido","raw_affiliation_strings":["Facultad de Matem\u00e1ticas, Universidad Veracruzana, Xalapa, Veracruz, Mexico"],"raw_orcid":"https://orcid.org/0000-0001-7956-8958","affiliations":[{"raw_affiliation_string":"Facultad de Matem\u00e1ticas, Universidad Veracruzana, Xalapa, Veracruz, Mexico","institution_ids":["https://openalex.org/I147280213"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5072355278","display_name":"Luis Antonio Montero","orcid":null},"institutions":[{"id":"https://openalex.org/I147280213","display_name":"Universidad Veracruzana","ror":"https://ror.org/03efxn362","country_code":"MX","type":"education","lineage":["https://openalex.org/I147280213"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Luis Antonio Montero","raw_affiliation_strings":["Facultad de Matem\u00e1ticas, Universidad Veracruzana, Xalapa, Veracruz, Mexico"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Facultad de Matem\u00e1ticas, Universidad Veracruzana, Xalapa, Veracruz, Mexico","institution_ids":["https://openalex.org/I147280213"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101533476","display_name":"Juan Gonz\u00e1lez Hern\u00e1ndez","orcid":"https://orcid.org/0000-0002-6640-0352"},"institutions":[{"id":"https://openalex.org/I8961855","display_name":"Universidad Nacional Aut\u00f3noma de M\u00e9xico","ror":"https://ror.org/01tmp8f25","country_code":"MX","type":"education","lineage":["https://openalex.org/I8961855"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Juan Gonz\u00e1lez-Hern\u00e1ndez","raw_affiliation_strings":["Departamento de Probabilidad y Estad\u00edstica, Instituto de Investigaciones en Matem\u00e1ticas Aplicadas y Sistemas, Universidad Nacional Aut\u00f3noma de M\u00e9xico, Mexico City, Mexico"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Probabilidad y Estad\u00edstica, Instituto de Investigaciones en Matem\u00e1ticas Aplicadas y Sistemas, Universidad Nacional Aut\u00f3noma de M\u00e9xico, Mexico City, Mexico","institution_ids":["https://openalex.org/I8961855"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5025023047"],"corresponding_institution_ids":["https://openalex.org/I147280213"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0388619,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"282","last_page":"292"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11777","display_name":"Fixed Point Theorems Analysis","score":0.9926000237464905,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11777","display_name":"Fixed Point Theorems Analysis","score":0.9926000237464905,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/T10545","display_name":"Optimization and Variational Analysis","score":0.9790999889373779,"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"}},{"id":"https://openalex.org/T11830","display_name":"Point processes and geometric inequalities","score":0.9383000135421753,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/duality","display_name":"Duality (order theory)","score":0.8037806749343872},{"id":"https://openalex.org/keywords/transshipment","display_name":"Transshipment (information security)","score":0.7192496061325073},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.6246829032897949},{"id":"https://openalex.org/keywords/dual","display_name":"Dual (grammatical number)","score":0.6232895255088806},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.45820334553718567},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.448910117149353},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.42624765634536743},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.38280749320983887},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.37073272466659546},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.339735209941864},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3296245336532593},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.25556331872940063},{"id":"https://openalex.org/keywords/operations-research","display_name":"Operations research","score":0.07251790165901184},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.05949962139129639},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.05821859836578369},{"id":"https://openalex.org/keywords/operations-management","display_name":"Operations management","score":0.05465829372406006}],"concepts":[{"id":"https://openalex.org/C2778023678","wikidata":"https://www.wikidata.org/wiki/Q554403","display_name":"Duality (order theory)","level":2,"score":0.8037806749343872},{"id":"https://openalex.org/C2776234997","wikidata":"https://www.wikidata.org/wiki/Q17134191","display_name":"Transshipment (information security)","level":2,"score":0.7192496061325073},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.6246829032897949},{"id":"https://openalex.org/C2780980858","wikidata":"https://www.wikidata.org/wiki/Q110022","display_name":"Dual (grammatical number)","level":2,"score":0.6232895255088806},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.45820334553718567},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.448910117149353},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.42624765634536743},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.38280749320983887},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.37073272466659546},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.339735209941864},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3296245336532593},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.25556331872940063},{"id":"https://openalex.org/C42475967","wikidata":"https://www.wikidata.org/wiki/Q194292","display_name":"Operations research","level":1,"score":0.07251790165901184},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.05949962139129639},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.05821859836578369},{"id":"https://openalex.org/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","level":1,"score":0.05465829372406006},{"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-030-13709-0_24","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-030-13709-0_24","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W583356579","https://openalex.org/W611617050","https://openalex.org/W1487132915","https://openalex.org/W2013443629","https://openalex.org/W2034220622","https://openalex.org/W2035556533","https://openalex.org/W2052424080","https://openalex.org/W2057901548","https://openalex.org/W2081896234","https://openalex.org/W2087583752","https://openalex.org/W2105260964","https://openalex.org/W2136109260","https://openalex.org/W2168333068","https://openalex.org/W2254463431","https://openalex.org/W2323201333","https://openalex.org/W2333106526","https://openalex.org/W2596682183","https://openalex.org/W4298050965","https://openalex.org/W4388321228"],"related_works":["https://openalex.org/W2989662842","https://openalex.org/W3164383682","https://openalex.org/W2081792944","https://openalex.org/W1977436202","https://openalex.org/W2063230249","https://openalex.org/W2138955107","https://openalex.org/W4225784730","https://openalex.org/W3122644328","https://openalex.org/W2164080590","https://openalex.org/W1019837216"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}