{"id":"https://openalex.org/W1998302192","doi":"https://doi.org/10.1002/(sici)1097-0037(199807)31:4<259::aid-net6>3.0.co;2-c","title":"The time-dependent shortest pair of disjoint paths problem: Complexity, models, and algorithms","display_name":"The time-dependent shortest pair of disjoint paths problem: Complexity, models, and algorithms","publication_year":1998,"publication_date":"1998-07-01","ids":{"openalex":"https://openalex.org/W1998302192","doi":"https://doi.org/10.1002/(sici)1097-0037(199807)31:4<259::aid-net6>3.0.co;2-c","mag":"1998302192"},"language":"en","primary_location":{"id":"doi:10.1002/(sici)1097-0037(199807)31:4<259::aid-net6>3.0.co;2-c","is_oa":true,"landing_page_url":"https://doi.org/10.1002/(sici)1097-0037(199807)31:4<259::aid-net6>3.0.co;2-c","pdf_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1002/%28SICI%291097-0037%28199807%2931%3A4%3C259%3A%3AAID-NET6%3E3.0.CO%3B2-C","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":true,"oa_status":"bronze","oa_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1002/%28SICI%291097-0037%28199807%2931%3A4%3C259%3A%3AAID-NET6%3E3.0.CO%3B2-C","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5043357545","display_name":"Hanif D. Sherali","orcid":null},"institutions":[{"id":"https://openalex.org/I859038795","display_name":"Virginia Tech","ror":"https://ror.org/02smfhw86","country_code":"US","type":"education","lineage":["https://openalex.org/I859038795"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Hanif D. Sherali","raw_affiliation_strings":["Department of Industrial and Systems Engineering, Virginia Polytechnic Institute and State University, Blacksburg, Virginia 24061-0118","Department of Industrial and Systems Engineering, Virginia Polytechnic Institute and State University, Blacksburg, Virginia 24061\u20100118"],"affiliations":[{"raw_affiliation_string":"Department of Industrial and Systems Engineering, Virginia Polytechnic Institute and State University, Blacksburg, Virginia 24061-0118","institution_ids":["https://openalex.org/I859038795"]},{"raw_affiliation_string":"Department of Industrial and Systems Engineering, Virginia Polytechnic Institute and State University, Blacksburg, Virginia 24061\u20100118","institution_ids":["https://openalex.org/I859038795"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5009215869","display_name":"Kaan \u00d6zbay","orcid":"https://orcid.org/0000-0001-7909-6532"},"institutions":[{"id":"https://openalex.org/I102322142","display_name":"Rutgers, The State University of New Jersey","ror":"https://ror.org/05vt9qd57","country_code":"US","type":"education","lineage":["https://openalex.org/I102322142"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Kaan Ozbay","raw_affiliation_strings":["Department of Civil and Environmental Engineering, Rutgers, The State University of New Jersey, Piscataway, New Jersey 08855-0909","Department of Civil and Environmental Engineering, Rutgers, The State University of New Jersey, Piscataway, New Jersey 08855\u20100909"],"affiliations":[{"raw_affiliation_string":"Department of Civil and Environmental Engineering, Rutgers, The State University of New Jersey, Piscataway, New Jersey 08855-0909","institution_ids":["https://openalex.org/I102322142"]},{"raw_affiliation_string":"Department of Civil and Environmental Engineering, Rutgers, The State University of New Jersey, Piscataway, New Jersey 08855\u20100909","institution_ids":["https://openalex.org/I102322142"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5020987023","display_name":"Shivaram Subramanian","orcid":"https://orcid.org/0000-0001-8391-7321"},"institutions":[{"id":"https://openalex.org/I859038795","display_name":"Virginia Tech","ror":"https://ror.org/02smfhw86","country_code":"US","type":"education","lineage":["https://openalex.org/I859038795"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Shivaram Subramanian","raw_affiliation_strings":["Department of Industrial and Systems Engineering, Virginia Polytechnic Institute and State University, Blacksburg, Virginia 24061-0118","Department of Industrial and Systems Engineering, Virginia Polytechnic Institute and State University, Blacksburg, Virginia 24061\u20100118"],"affiliations":[{"raw_affiliation_string":"Department of Industrial and Systems Engineering, Virginia Polytechnic Institute and State University, Blacksburg, Virginia 24061-0118","institution_ids":["https://openalex.org/I859038795"]},{"raw_affiliation_string":"Department of Industrial and Systems Engineering, Virginia Polytechnic Institute and State University, Blacksburg, Virginia 24061\u20100118","institution_ids":["https://openalex.org/I859038795"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5043357545"],"corresponding_institution_ids":["https://openalex.org/I859038795"],"apc_list":{"value":3400,"currency":"USD","value_usd":3400},"apc_paid":null,"fwci":11.0384,"has_fulltext":false,"cited_by_count":54,"citation_normalized_percentile":{"value":0.97473915,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"31","issue":"4","first_page":"259","last_page":"272"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10698","display_name":"Transportation Planning and Optimization","score":0.9743000268936157,"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"}},"topics":[{"id":"https://openalex.org/T10698","display_name":"Transportation Planning and Optimization","score":0.9743000268936157,"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/T10847","display_name":"Advanced Optical Network Technologies","score":0.9045000076293945,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/disjoint-sets","display_name":"Disjoint sets","score":0.7204268574714661},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6808340549468994},{"id":"https://openalex.org/keywords/reliability","display_name":"Reliability (semiconductor)","score":0.483924925327301},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.47379228472709656},{"id":"https://openalex.org/keywords/network-packet","display_name":"Network packet","score":0.44847768545150757},{"id":"https://openalex.org/keywords/computational-complexity-theory","display_name":"Computational complexity theory","score":0.44065776467323303},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.43397256731987},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4176926612854004},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.24158620834350586},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.1521313488483429},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.09794187545776367}],"concepts":[{"id":"https://openalex.org/C45340560","wikidata":"https://www.wikidata.org/wiki/Q215382","display_name":"Disjoint sets","level":2,"score":0.7204268574714661},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6808340549468994},{"id":"https://openalex.org/C43214815","wikidata":"https://www.wikidata.org/wiki/Q7310987","display_name":"Reliability (semiconductor)","level":3,"score":0.483924925327301},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.47379228472709656},{"id":"https://openalex.org/C158379750","wikidata":"https://www.wikidata.org/wiki/Q214111","display_name":"Network packet","level":2,"score":0.44847768545150757},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.44065776467323303},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.43397256731987},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4176926612854004},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.24158620834350586},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.1521313488483429},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.09794187545776367},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1002/(sici)1097-0037(199807)31:4<259::aid-net6>3.0.co;2-c","is_oa":true,"landing_page_url":"https://doi.org/10.1002/(sici)1097-0037(199807)31:4<259::aid-net6>3.0.co;2-c","pdf_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1002/%28SICI%291097-0037%28199807%2931%3A4%3C259%3A%3AAID-NET6%3E3.0.CO%3B2-C","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":{"id":"doi:10.1002/(sici)1097-0037(199807)31:4<259::aid-net6>3.0.co;2-c","is_oa":true,"landing_page_url":"https://doi.org/10.1002/(sici)1097-0037(199807)31:4<259::aid-net6>3.0.co;2-c","pdf_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1002/%28SICI%291097-0037%28199807%2931%3A4%3C259%3A%3AAID-NET6%3E3.0.CO%3B2-C","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"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1998302192.pdf"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W1971174658","https://openalex.org/W2099195351","https://openalex.org/W4256429076","https://openalex.org/W2012063272","https://openalex.org/W2348092930","https://openalex.org/W2062850566","https://openalex.org/W4308716484","https://openalex.org/W2098284475","https://openalex.org/W1589381382","https://openalex.org/W961142965"],"abstract_inverted_index":{"In":[0],"this":[1,106,129],"paper,":[2],"we":[3,116],"examine":[4],"complexity":[5],"issues,":[6],"models,":[7],"and":[8,75,108,115],"algorithms":[9],"for":[10,56],"the":[11,29,37,47,61,70,76,84,92,101,140,162],"problem":[12],"of":[13,18,24,49,63,66,78,86,94,111,137,139,142],"finding":[14],"a":[15,25,118],"shortest":[16],"pair":[17,141],"disjoint":[19,44],"paths":[20,45],"between":[21],"two":[22],"nodes":[23],"network":[26,50],"such":[27],"that":[28,36,105,123],"total":[30],"travel":[31,98],"delay":[32],"is":[33],"minimized,":[34],"given":[35],"individual":[38],"arc":[39],"delays":[40,99],"are":[41,113],"time-dependent.":[42],"Such":[43],"address":[46],"issue":[48],"vulnerability":[51],"by":[52,160],"prescribing":[53],"alternate":[54],"routes":[55],"traffic":[57,79],"flows.":[58],"Applications":[59],"include":[60],"dispatching":[62],"duplicate":[64],"packets":[65],"data":[67],"to":[68,82,127,146,150],"improve":[69],"reliability":[71],"in":[72,88,91,97,100],"communication":[73],"networks":[74],"diverting":[77],"during":[80],"congestion":[81],"reduce":[83],"chances":[85],"bottlenecks":[87],"transportation":[89],"networks,":[90],"presence":[93],"time-dependent":[95],"variations":[96,110],"network.":[102],"We":[103,153],"prove":[104],"problem,":[107],"many":[109],"it,":[112],"NP-hard":[114],"develop":[117],"0\u20131":[119],"linear":[120],"programming":[121],"model":[122,132],"can":[124,133],"be":[125],"used":[126],"solve":[128],"problem.":[130],"This":[131],"accommodate":[134],"various":[135],"degrees":[136],"disjointedness":[138],"paths,":[143],"from":[144],"complete":[145],"partial":[147],"with":[148],"respect":[149],"specific":[151],"arcs.":[152],"also":[154],"present":[155],"some":[156],"computational":[157],"results":[158],"obtained":[159],"solving":[161],"above":[163],"models":[164],"using":[165],"CPLEX-MIP.":[166],"\u00a9":[167],"1998":[168,177],"John":[169],"Wiley":[170],"&":[171],"Sons,":[172],"Inc.":[173],"Networks":[174],"31:":[175],"259\u2013272,":[176]},"counts_by_year":[{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":5},{"year":2012,"cited_by_count":5}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
