{"id":"https://openalex.org/W2007310084","doi":"https://doi.org/10.1002/net.3230020405","title":"Multi\u2010commodities transportation schedules over time","display_name":"Multi\u2010commodities transportation schedules over time","publication_year":1972,"publication_date":"1972-01-01","ids":{"openalex":"https://openalex.org/W2007310084","doi":"https://doi.org/10.1002/net.3230020405","mag":"2007310084"},"language":"en","primary_location":{"id":"doi:10.1002/net.3230020405","is_oa":false,"landing_page_url":"https://doi.org/10.1002/net.3230020405","pdf_url":null,"source":{"id":"https://openalex.org/S191798613","display_name":"Networks","issn_l":"0028-3045","issn":["0028-3045","1097-0037"],"is_oa":false,"is_in_doaj":false,"is_core":true,"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":"Networks","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/A5025352089","display_name":"Charles S. Tapiero","orcid":"https://orcid.org/0000-0001-9584-9223"},"institutions":[{"id":"https://openalex.org/I78577930","display_name":"Columbia University","ror":"https://ror.org/00hj8s172","country_code":"US","type":"education","lineage":["https://openalex.org/I78577930"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"C. S. Tapiero","raw_affiliation_strings":["Columbia University New York, New York","Columbia University New York New York"],"affiliations":[{"raw_affiliation_string":"Columbia University New York, New York","institution_ids":["https://openalex.org/I78577930"]},{"raw_affiliation_string":"Columbia University New York New York","institution_ids":["https://openalex.org/I78577930"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5079751319","display_name":"M.A. Soliman","orcid":"https://orcid.org/0000-0002-9304-7873"},"institutions":[{"id":"https://openalex.org/I130828816","display_name":"University of Leeds","ror":"https://ror.org/024mrxd33","country_code":"GB","type":"education","lineage":["https://openalex.org/I130828816"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"M. A. Soliman","raw_affiliation_strings":["University of Leeds England","University of Leeds , England"],"affiliations":[{"raw_affiliation_string":"University of Leeds England","institution_ids":["https://openalex.org/I130828816"]},{"raw_affiliation_string":"University of Leeds , England","institution_ids":["https://openalex.org/I130828816"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5025352089"],"corresponding_institution_ids":["https://openalex.org/I78577930"],"apc_list":{"value":3400,"currency":"USD","value_usd":3400},"apc_paid":null,"fwci":2.0907,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.85819861,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"2","issue":"4","first_page":"311","last_page":"327"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10567","display_name":"Vehicle Routing Optimization Methods","score":0.9973000288009644,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing 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/T10567","display_name":"Vehicle Routing Optimization Methods","score":0.9973000288009644,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing 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":0.9937999844551086,"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/T12709","display_name":"Optimization and Mathematical Programming","score":0.9853000044822693,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/commodity","display_name":"Commodity","score":0.6396459341049194},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6044101119041443},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5778241157531738},{"id":"https://openalex.org/keywords/travel-time","display_name":"Travel time","score":0.5329426527023315},{"id":"https://openalex.org/keywords/transportation-theory","display_name":"Transportation theory","score":0.46621236205101013},{"id":"https://openalex.org/keywords/operations-research","display_name":"Operations research","score":0.4534275233745575},{"id":"https://openalex.org/keywords/distribution","display_name":"Distribution (mathematics)","score":0.4459390342235565},{"id":"https://openalex.org/keywords/flow-network","display_name":"Flow network","score":0.43802398443222046},{"id":"https://openalex.org/keywords/differential","display_name":"Differential (mechanical device)","score":0.42235827445983887},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.24734365940093994},{"id":"https://openalex.org/keywords/transport-engineering","display_name":"Transport engineering","score":0.16691702604293823},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.13128075003623962},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.07283598184585571}],"concepts":[{"id":"https://openalex.org/C2779439359","wikidata":"https://www.wikidata.org/wiki/Q317088","display_name":"Commodity","level":2,"score":0.6396459341049194},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6044101119041443},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5778241157531738},{"id":"https://openalex.org/C2985733770","wikidata":"https://www.wikidata.org/wiki/Q1233007","display_name":"Travel time","level":2,"score":0.5329426527023315},{"id":"https://openalex.org/C31829261","wikidata":"https://www.wikidata.org/wiki/Q1929885","display_name":"Transportation theory","level":2,"score":0.46621236205101013},{"id":"https://openalex.org/C42475967","wikidata":"https://www.wikidata.org/wiki/Q194292","display_name":"Operations research","level":1,"score":0.4534275233745575},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.4459390342235565},{"id":"https://openalex.org/C114809511","wikidata":"https://www.wikidata.org/wiki/Q1412924","display_name":"Flow network","level":2,"score":0.43802398443222046},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.42235827445983887},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.24734365940093994},{"id":"https://openalex.org/C22212356","wikidata":"https://www.wikidata.org/wiki/Q775325","display_name":"Transport engineering","level":1,"score":0.16691702604293823},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.13128075003623962},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.07283598184585571},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C34447519","wikidata":"https://www.wikidata.org/wiki/Q179522","display_name":"Market economy","level":1,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1002/net.3230020405","is_oa":false,"landing_page_url":"https://doi.org/10.1002/net.3230020405","pdf_url":null,"source":{"id":"https://openalex.org/S191798613","display_name":"Networks","issn_l":"0028-3045","issn":["0028-3045","1097-0037"],"is_oa":false,"is_in_doaj":false,"is_core":true,"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":"Networks","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W1519675499","https://openalex.org/W1578717571","https://openalex.org/W2001356755","https://openalex.org/W2050507887","https://openalex.org/W2086819855","https://openalex.org/W2104101949","https://openalex.org/W2110596560","https://openalex.org/W2119984032","https://openalex.org/W2121857413","https://openalex.org/W2167409075","https://openalex.org/W2171888614","https://openalex.org/W3143081828"],"related_works":["https://openalex.org/W2278302102","https://openalex.org/W2351723118","https://openalex.org/W2392507953","https://openalex.org/W2103510479","https://openalex.org/W2372917735","https://openalex.org/W2775835424","https://openalex.org/W2254995460","https://openalex.org/W2213850920","https://openalex.org/W2036901247","https://openalex.org/W592655573"],"abstract_inverted_index":{"Abstract":[0],"Multi\u2010commodity":[1],"transportation":[2],"problems":[3,35],"over":[4],"time":[5,27],"are":[6,36],"formulated":[7],"by":[8,19],"a":[9,23],"system":[10],"of":[11,22],"differential":[12],"equations":[13],"and":[14,32,39],"optimal":[15],"transport":[16],"flows":[17],"determined":[18],"the":[20],"application":[21],"maximum":[24],"principle":[25],"with":[26],"delays.":[28],"Applications":[29],"to":[30],"logistics":[31],"distribution":[33],"management":[34],"then":[37],"considered":[38],"resolved.":[40]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}