{"id":"https://openalex.org/W2889742121","doi":"https://doi.org/10.1051/ro/2018072","title":"On the problem of minimizing the cost with optical devices in Wavelength Division Multiplexing optical networks: complexity analysis, mathematical formulation and improved heuristics","display_name":"On the problem of minimizing the cost with optical devices in Wavelength Division Multiplexing optical networks: complexity analysis, mathematical formulation and improved heuristics","publication_year":2018,"publication_date":"2018-09-06","ids":{"openalex":"https://openalex.org/W2889742121","doi":"https://doi.org/10.1051/ro/2018072","mag":"2889742121"},"language":"en","primary_location":{"id":"doi:10.1051/ro/2018072","is_oa":true,"landing_page_url":"https://doi.org/10.1051/ro/2018072","pdf_url":"https://www.rairo-ro.org/articles/ro/pdf/2019/05/ro170264.pdf","source":{"id":"https://openalex.org/S20631277","display_name":"RAIRO - Operations Research","issn_l":"0399-0559","issn":["0399-0559","1290-3868","2804-7303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319748","host_organization_name":"EDP Sciences","host_organization_lineage":["https://openalex.org/P4310319748"],"host_organization_lineage_names":["EDP Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"RAIRO - Operations Research","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.rairo-ro.org/articles/ro/pdf/2019/05/ro170264.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5006979838","display_name":"Daniel Morais dos Reis","orcid":null},"institutions":[{"id":"https://openalex.org/I4210136482","display_name":"Federal Center for Technological Education of Minas Gerais","ror":"https://ror.org/04ch49185","country_code":"BR","type":"education","lineage":["https://openalex.org/I4210136482"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Daniel Morais dos Reis","raw_affiliation_strings":["Departamento de Inform\u00e1tica, Gest\u00e3o e Design, Centro Federal de Educa\u00e7\u00e3o Tecnol\u00f3gica de Minas Gerais (CEFET-MG) \u2013 Campus V, Divin\u00f3polis, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Inform\u00e1tica, Gest\u00e3o e Design, Centro Federal de Educa\u00e7\u00e3o Tecnol\u00f3gica de Minas Gerais (CEFET-MG) \u2013 Campus V, Divin\u00f3polis, Brazil","institution_ids":["https://openalex.org/I4210136482"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5066924373","display_name":"Nat\u00e3 Goulart","orcid":"https://orcid.org/0000-0002-3065-3999"},"institutions":[{"id":"https://openalex.org/I166595947","display_name":"Federal University of S\u00e3o Jo\u00e3o del-Rei","ror":"https://ror.org/03vrj4p82","country_code":"BR","type":"education","lineage":["https://openalex.org/I166595947"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Nat\u00e3 Goulart","raw_affiliation_strings":["Departamento de Tecnologia em Engenharia Civil, Computa\u00e7\u00e3o e Humanidades, Universidade Federal de S\u00e3o Jo\u00e3o Del Rei (UFSJ), Ouro Branco, Brazil"],"raw_orcid":"https://orcid.org/0000-0002-3065-3999","affiliations":[{"raw_affiliation_string":"Departamento de Tecnologia em Engenharia Civil, Computa\u00e7\u00e3o e Humanidades, Universidade Federal de S\u00e3o Jo\u00e3o Del Rei (UFSJ), Ouro Branco, Brazil","institution_ids":["https://openalex.org/I166595947"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5070339603","display_name":"Thiago F. Noronha","orcid":"https://orcid.org/0000-0002-6831-2006"},"institutions":[{"id":"https://openalex.org/I110200422","display_name":"Universidade Federal de Minas Gerais","ror":"https://ror.org/0176yjw32","country_code":"BR","type":"education","lineage":["https://openalex.org/I110200422"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Thiago F. Noronha","raw_affiliation_strings":["Departamento de Ci\u00eancia da Computa\u00e7\u00e3o, Universidade Federal de Minas Gerais (UFMG), Belo Horizonte, Brazil"],"raw_orcid":"https://orcid.org/0000-0002-6831-2006","affiliations":[{"raw_affiliation_string":"Departamento de Ci\u00eancia da Computa\u00e7\u00e3o, Universidade Federal de Minas Gerais (UFMG), Belo Horizonte, Brazil","institution_ids":["https://openalex.org/I110200422"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5090897332","display_name":"S\u00e9rgio Ricardo de Souza","orcid":"https://orcid.org/0000-0001-7831-6740"},"institutions":[{"id":"https://openalex.org/I4210136482","display_name":"Federal Center for Technological Education of Minas Gerais","ror":"https://ror.org/04ch49185","country_code":"BR","type":"education","lineage":["https://openalex.org/I4210136482"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"S\u00e9rgio Ricardo de Souza","raw_affiliation_strings":["Departamento de Computa\u00e7\u00e3o, Centro Federal de Educa\u00e7\u00e3o Tecnol\u00f3gica de Minas Gerais (CEFET-MG) \u2013 Campus II, Belo Horizonte, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Computa\u00e7\u00e3o, Centro Federal de Educa\u00e7\u00e3o Tecnol\u00f3gica de Minas Gerais (CEFET-MG) \u2013 Campus II, Belo Horizonte, Brazil","institution_ids":["https://openalex.org/I4210136482"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0865901,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"53","issue":"5","first_page":"1513","last_page":"1528"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10847","display_name":"Advanced Optical Network Technologies","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T10847","display_name":"Advanced Optical Network Technologies","score":0.9998000264167786,"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"}},{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9952999949455261,"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"}},{"id":"https://openalex.org/T10232","display_name":"Optical Network Technologies","score":0.9948999881744385,"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/heuristics","display_name":"Heuristics","score":0.8087077140808105},{"id":"https://openalex.org/keywords/solver","display_name":"Solver","score":0.7675431966781616},{"id":"https://openalex.org/keywords/heuristic","display_name":"Heuristic","score":0.6206755042076111},{"id":"https://openalex.org/keywords/integer-programming","display_name":"Integer programming","score":0.6078632473945618},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5761465430259705},{"id":"https://openalex.org/keywords/routing","display_name":"Routing (electronic design automation)","score":0.5666307806968689},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5597972273826599},{"id":"https://openalex.org/keywords/wavelength-division-multiplexing","display_name":"Wavelength-division multiplexing","score":0.45468947291374207},{"id":"https://openalex.org/keywords/metaheuristic","display_name":"Metaheuristic","score":0.44754236936569214},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.43494102358818054},{"id":"https://openalex.org/keywords/iterated-local-search","display_name":"Iterated local search","score":0.4327922761440277},{"id":"https://openalex.org/keywords/multiplexing","display_name":"Multiplexing","score":0.4182708263397217},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2701527178287506},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.10470083355903625},{"id":"https://openalex.org/keywords/wavelength","display_name":"Wavelength","score":0.08562812209129333}],"concepts":[{"id":"https://openalex.org/C127705205","wikidata":"https://www.wikidata.org/wiki/Q5748245","display_name":"Heuristics","level":2,"score":0.8087077140808105},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.7675431966781616},{"id":"https://openalex.org/C173801870","wikidata":"https://www.wikidata.org/wiki/Q201413","display_name":"Heuristic","level":2,"score":0.6206755042076111},{"id":"https://openalex.org/C56086750","wikidata":"https://www.wikidata.org/wiki/Q6042592","display_name":"Integer programming","level":2,"score":0.6078632473945618},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5761465430259705},{"id":"https://openalex.org/C74172769","wikidata":"https://www.wikidata.org/wiki/Q1446839","display_name":"Routing (electronic design automation)","level":2,"score":0.5666307806968689},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5597972273826599},{"id":"https://openalex.org/C160724564","wikidata":"https://www.wikidata.org/wiki/Q1620670","display_name":"Wavelength-division multiplexing","level":3,"score":0.45468947291374207},{"id":"https://openalex.org/C109718341","wikidata":"https://www.wikidata.org/wiki/Q1385229","display_name":"Metaheuristic","level":2,"score":0.44754236936569214},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.43494102358818054},{"id":"https://openalex.org/C124145224","wikidata":"https://www.wikidata.org/wiki/Q6094397","display_name":"Iterated local search","level":3,"score":0.4327922761440277},{"id":"https://openalex.org/C19275194","wikidata":"https://www.wikidata.org/wiki/Q222903","display_name":"Multiplexing","level":2,"score":0.4182708263397217},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2701527178287506},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.10470083355903625},{"id":"https://openalex.org/C6260449","wikidata":"https://www.wikidata.org/wiki/Q41364","display_name":"Wavelength","level":2,"score":0.08562812209129333},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0},{"id":"https://openalex.org/C49040817","wikidata":"https://www.wikidata.org/wiki/Q193091","display_name":"Optoelectronics","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1051/ro/2018072","is_oa":true,"landing_page_url":"https://doi.org/10.1051/ro/2018072","pdf_url":"https://www.rairo-ro.org/articles/ro/pdf/2019/05/ro170264.pdf","source":{"id":"https://openalex.org/S20631277","display_name":"RAIRO - Operations Research","issn_l":"0399-0559","issn":["0399-0559","1290-3868","2804-7303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319748","host_organization_name":"EDP Sciences","host_organization_lineage":["https://openalex.org/P4310319748"],"host_organization_lineage_names":["EDP Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"RAIRO - Operations Research","raw_type":"journal-article"},{"id":"pmh:oai:numdam.org:RO_2019__53_5_1513_0","is_oa":false,"landing_page_url":"https://www.numdam.org/articles/10.1051/ro/2018072/","pdf_url":null,"source":{"id":"https://openalex.org/S4306402264","display_name":"French digital mathematics library (Numdam)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I70900168","host_organization_name":"Universit\u00e9 Savoie Mont Blanc","host_organization_lineage":["https://openalex.org/I70900168"],"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":"Text"}],"best_oa_location":{"id":"doi:10.1051/ro/2018072","is_oa":true,"landing_page_url":"https://doi.org/10.1051/ro/2018072","pdf_url":"https://www.rairo-ro.org/articles/ro/pdf/2019/05/ro170264.pdf","source":{"id":"https://openalex.org/S20631277","display_name":"RAIRO - Operations Research","issn_l":"0399-0559","issn":["0399-0559","1290-3868","2804-7303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319748","host_organization_name":"EDP Sciences","host_organization_lineage":["https://openalex.org/P4310319748"],"host_organization_lineage_names":["EDP Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"RAIRO - Operations Research","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Industry, innovation and infrastructure","score":0.5199999809265137,"id":"https://metadata.un.org/sdg/9"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W1484040084","https://openalex.org/W1502125971","https://openalex.org/W1968016922","https://openalex.org/W1984237147","https://openalex.org/W1996201120","https://openalex.org/W2010113720","https://openalex.org/W2011039300","https://openalex.org/W2031770229","https://openalex.org/W2051290577","https://openalex.org/W2092220612","https://openalex.org/W2093938881","https://openalex.org/W2095595785","https://openalex.org/W2110392994","https://openalex.org/W2120470208","https://openalex.org/W2127094430","https://openalex.org/W2145126253","https://openalex.org/W2150123606","https://openalex.org/W2153386665","https://openalex.org/W2154834603","https://openalex.org/W2155526624","https://openalex.org/W2164824749","https://openalex.org/W2168079536","https://openalex.org/W2169528473","https://openalex.org/W2222947143","https://openalex.org/W2313793138","https://openalex.org/W2613070411","https://openalex.org/W2798854302","https://openalex.org/W2913091258","https://openalex.org/W4243377619"],"related_works":["https://openalex.org/W1538016805","https://openalex.org/W1521890650","https://openalex.org/W1519721544","https://openalex.org/W2013564586","https://openalex.org/W1490782680","https://openalex.org/W1532406186","https://openalex.org/W4285278887","https://openalex.org/W2888670731","https://openalex.org/W2365237642","https://openalex.org/W2995925505"],"abstract_inverted_index":{"The":[0],"Fiber":[1],"Installation":[2],"Problem":[3],"(FIP)":[4],"in":[5,13,51,67,183,228],"Wavelength":[6],"Division":[7],"Multiplexing":[8],"(WDM)":[9],"optical":[10,27],"networks":[11],"consists":[12],"routing":[14,54],"a":[15],"set":[16],"of":[17,25,37,43,45,58,139,150,177,201],"lightpaths":[18],"(all-optical":[19],"connections)":[20],"such":[21],"that":[22,104,117,162,192,220],"the":[23,26,32,52,61,65,68,90,98,105,131,140,151,163,178,193,204,208,214,217,221,225,229],"cost":[24],"devices":[28,39],"necessary":[29],"to":[30,97,146,173,181],"operate":[31],"network":[33,62],"is":[34,40,84,107,119,211],"minimized.":[35],"Each":[36],"these":[38,94],"worth":[41],"hundreds":[42],"thousands":[44],"dollars.":[46],"In":[47,112,133],"consequence,":[48],"any":[49],"improvement":[50],"lightpath":[53],"may":[55],"save":[56],"millions":[57],"dollars":[59],"for":[60,70,130,206],"operator.":[63],"All":[64],"works":[66],"literature":[69,230],"solving":[71],"this":[72,113],"problem":[73,106],"are":[74,89],"based":[75],"on":[76,86,157,203],"greedy":[77],"heuristics":[78,95],"and":[79,121],"genetic":[80],"algorithms.":[81],"No":[82],"information":[83],"known":[85],"how":[87],"good":[88],"solutions":[91],"provided":[92],"by":[93,231],"compared":[96],"optimal":[99,209],"solution.":[100],"Besides,":[101],"no":[102],"proof":[103],"NP-Hard":[108,120],"can":[109],"be":[110],"found.":[111],"paper,":[114],"we":[115,135],"prove":[116],"FIP":[118],"also":[122,190],"present":[123],"an":[124,137,197],"Integer":[125],"Linear":[126],"Programming":[127],"(ILP)":[128],"formulation":[129,170],"problem.":[132,152],"addition,":[134],"propose":[136],"implementation":[138],"Iterated":[141],"Local":[142],"Search":[143],"(ILS)":[144],"metaheuristic":[145],"solve":[147,174],"large":[148],"instances":[149,160,180,205],"Computational":[153],"experiments":[154],"carried":[155],"out":[156,176],"21":[158,179],"realistic":[159],"showed":[161,191,219],"CPLEX":[164],"solver":[165],"running":[166],"with":[167],"our":[168],"ILP":[169],"was":[171],"able":[172],"11":[175],"optimality":[182,199],"less":[184],"than":[185],"two":[186],"minutes.":[187],"These":[188],"results":[189,218],"ILS":[194],"heuristic":[195,223,227],"has":[196],"average":[198],"gap":[200],"1%":[202],"which":[207],"solution":[210],"known.":[212],"For":[213],"other":[215],"instances,":[216],"proposed":[222],"outperforms":[224],"best":[226],"7%.":[232]},"counts_by_year":[],"updated_date":"2026-07-07T06:14:10.401900","created_date":"2018-09-27T00:00:00"}
