{"id":"https://openalex.org/W2212098784","doi":"https://doi.org/10.1051/ro/2015014","title":"A modified modeling approach and a heuristic procedure for the multi-mode resource constrained project scheduling problem with activity splitting","display_name":"A modified modeling approach and a heuristic procedure for the multi-mode resource constrained project scheduling problem with activity splitting","publication_year":2015,"publication_date":"2015-05-05","ids":{"openalex":"https://openalex.org/W2212098784","doi":"https://doi.org/10.1051/ro/2015014","mag":"2212098784"},"language":"en","primary_location":{"id":"doi:10.1051/ro/2015014","is_oa":false,"landing_page_url":"https://doi.org/10.1051/ro/2015014","pdf_url":null,"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","https://openalex.org/P4310319982"],"host_organization_lineage_names":["EDP Sciences","Science Press"],"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":"green","oa_url":"https://www.numdam.org/item/10.1051/ro/2015014.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5043724757","display_name":"Fatemeh Faghih-Mohammadi","orcid":null},"institutions":[{"id":"https://openalex.org/I158248296","display_name":"Amirkabir University of Technology","ror":"https://ror.org/04gzbav43","country_code":"IR","type":"education","lineage":["https://openalex.org/I158248296"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Fatemeh Faghih-Mohammadi","raw_affiliation_strings":["Department of Industrial Engineering, Amirkabir University of Technology, Hafiz St. 424, P.O. Box 15875-4413, Tehran, Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Industrial Engineering, Amirkabir University of Technology, Hafiz St. 424, P.O. Box 15875-4413, Tehran, Iran","institution_ids":["https://openalex.org/I158248296"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5084024707","display_name":"Abbas Seifi","orcid":"https://orcid.org/0000-0003-2549-2200"},"institutions":[{"id":"https://openalex.org/I158248296","display_name":"Amirkabir University of Technology","ror":"https://ror.org/04gzbav43","country_code":"IR","type":"education","lineage":["https://openalex.org/I158248296"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Abbas Seifi","raw_affiliation_strings":["Department of Industrial Engineering, Amirkabir University of Technology, Hafiz St. 424, P.O. Box 15875-4413, Tehran, Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Industrial Engineering, Amirkabir University of Technology, Hafiz St. 424, P.O. Box 15875-4413, Tehran, Iran","institution_ids":["https://openalex.org/I158248296"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5061174733","display_name":"Mohammad Khalighi-Sikaroudi","orcid":null},"institutions":[{"id":"https://openalex.org/I158248296","display_name":"Amirkabir University of Technology","ror":"https://ror.org/04gzbav43","country_code":"IR","type":"education","lineage":["https://openalex.org/I158248296"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Mohammad Khalighi-Sikaroudi","raw_affiliation_strings":["Department of Industrial Engineering, Amirkabir University of Technology, Hafiz St. 424, P.O. Box 15875-4413, Tehran, Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Industrial Engineering, Amirkabir University of Technology, Hafiz St. 424, P.O. Box 15875-4413, Tehran, Iran","institution_ids":["https://openalex.org/I158248296"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I158248296"],"apc_list":{"value":0,"currency":"EUR","value_usd":0},"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.10993607,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"50","issue":"1","first_page":"91","last_page":"118"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12177","display_name":"Resource-Constrained Project Scheduling","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T12177","display_name":"Resource-Constrained Project Scheduling","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10551","display_name":"Scheduling and Optimization Algorithms","score":0.9987000226974487,"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/T11006","display_name":"BIM and Construction Integration","score":0.9690999984741211,"subfield":{"id":"https://openalex.org/subfields/2215","display_name":"Building and Construction"},"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/mathematical-optimization","display_name":"Mathematical optimization","score":0.7249549031257629},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6896588206291199},{"id":"https://openalex.org/keywords/heuristic","display_name":"Heuristic","score":0.5942164659500122},{"id":"https://openalex.org/keywords/mode","display_name":"Mode (computer interface)","score":0.5449733138084412},{"id":"https://openalex.org/keywords/scheduling","display_name":"Scheduling (production processes)","score":0.5386677980422974},{"id":"https://openalex.org/keywords/computational-complexity-theory","display_name":"Computational complexity theory","score":0.4263421297073364},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.26856115460395813},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.205677330493927}],"concepts":[{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.7249549031257629},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6896588206291199},{"id":"https://openalex.org/C173801870","wikidata":"https://www.wikidata.org/wiki/Q201413","display_name":"Heuristic","level":2,"score":0.5942164659500122},{"id":"https://openalex.org/C48677424","wikidata":"https://www.wikidata.org/wiki/Q6888088","display_name":"Mode (computer interface)","level":2,"score":0.5449733138084412},{"id":"https://openalex.org/C206729178","wikidata":"https://www.wikidata.org/wiki/Q2271896","display_name":"Scheduling (production processes)","level":2,"score":0.5386677980422974},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.4263421297073364},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.26856115460395813},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.205677330493927},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1051/ro/2015014","is_oa":false,"landing_page_url":"https://doi.org/10.1051/ro/2015014","pdf_url":null,"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","https://openalex.org/P4310319982"],"host_organization_lineage_names":["EDP Sciences","Science Press"],"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_2016__50_1_91_0","is_oa":true,"landing_page_url":"http://www.numdam.org/articles/10.1051/ro/2015014/","pdf_url":"https://www.numdam.org/item/10.1051/ro/2015014.pdf","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":"pmh:oai:numdam.org:RO_2016__50_1_91_0","is_oa":true,"landing_page_url":"http://www.numdam.org/articles/10.1051/ro/2015014/","pdf_url":"https://www.numdam.org/item/10.1051/ro/2015014.pdf","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"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2212098784.pdf","grobid_xml":"https://content.openalex.org/works/W2212098784.grobid-xml"},"referenced_works_count":75,"referenced_works":["https://openalex.org/W85289681","https://openalex.org/W185167974","https://openalex.org/W204261080","https://openalex.org/W435588996","https://openalex.org/W1495513464","https://openalex.org/W1525247584","https://openalex.org/W1531908439","https://openalex.org/W1534526047","https://openalex.org/W1586637507","https://openalex.org/W1588020177","https://openalex.org/W1641986518","https://openalex.org/W1925374724","https://openalex.org/W1967545722","https://openalex.org/W1972868674","https://openalex.org/W1973131489","https://openalex.org/W1973512058","https://openalex.org/W1975498705","https://openalex.org/W1978134557","https://openalex.org/W1979627836","https://openalex.org/W1980716261","https://openalex.org/W1985909617","https://openalex.org/W1987465876","https://openalex.org/W1988981030","https://openalex.org/W1994439663","https://openalex.org/W1994633128","https://openalex.org/W1995970169","https://openalex.org/W1997094138","https://openalex.org/W2020006381","https://openalex.org/W2024009720","https://openalex.org/W2024961395","https://openalex.org/W2029066203","https://openalex.org/W2033611108","https://openalex.org/W2042108542","https://openalex.org/W2042486704","https://openalex.org/W2055522783","https://openalex.org/W2056273707","https://openalex.org/W2058384480","https://openalex.org/W2058501782","https://openalex.org/W2058792604","https://openalex.org/W2060331334","https://openalex.org/W2065515777","https://openalex.org/W2067462952","https://openalex.org/W2071907541","https://openalex.org/W2083823805","https://openalex.org/W2084318159","https://openalex.org/W2085325317","https://openalex.org/W2085327584","https://openalex.org/W2085990305","https://openalex.org/W2091648513","https://openalex.org/W2095326093","https://openalex.org/W2096825534","https://openalex.org/W2097190088","https://openalex.org/W2101937070","https://openalex.org/W2102691488","https://openalex.org/W2117837254","https://openalex.org/W2120005825","https://openalex.org/W2120753138","https://openalex.org/W2125302049","https://openalex.org/W2125381034","https://openalex.org/W2129183345","https://openalex.org/W2131167412","https://openalex.org/W2138779116","https://openalex.org/W2140742285","https://openalex.org/W2148204686","https://openalex.org/W2149250145","https://openalex.org/W2152999180","https://openalex.org/W2155713656","https://openalex.org/W2156383833","https://openalex.org/W2171261418","https://openalex.org/W2179783112","https://openalex.org/W2182586493","https://openalex.org/W2264258177","https://openalex.org/W2889124259","https://openalex.org/W4285719527","https://openalex.org/W6609891357"],"related_works":["https://openalex.org/W258305750","https://openalex.org/W2997221951","https://openalex.org/W2334323075","https://openalex.org/W2546696010","https://openalex.org/W1992741870","https://openalex.org/W3174582865","https://openalex.org/W1882733036","https://openalex.org/W2234798444","https://openalex.org/W4298199437","https://openalex.org/W2892181553"],"abstract_inverted_index":{"This":[0,116],"paper":[1],"presents":[2],"a":[3,50],"new":[4],"heuristic":[5,31],"method":[6,54],"for":[7,35,96,107,156],"solving":[8,186],"multi-mode":[9,45],"resource":[10,21],"constrained":[11],"project":[12],"scheduling":[13,123],"problems":[14],"with":[15,99,110,137],"renewable":[16],"resources.":[17],"Assumptions":[18],"such":[19],"as":[20,83],"vacation":[22],"and":[23,68,183],"activity":[24,40],"splitting":[25],"are":[26],"also":[27,126],"considered.":[28],"The":[29,71],"proposed":[30],"determines":[32],"one":[33,79],"mode":[34,135,145],"the":[36,44,60,84,87,94,128,149,157,166,170,174,179],"execution":[37],"of":[38,59,65,80,86,113,131,169,178],"each":[39],"first,":[41],"so":[42],"that":[43,74,143,185],"problem":[46,88,180],"is":[47,55,91],"reduced":[48],"to":[49,57,153,188,196],"single-mode":[51],"one.":[52],"Our":[53,140],"compared":[56,195],"two":[58],"existing":[61],"methods":[62],"in":[63,121,148,165,181],"terms":[64],"computational":[66,193],"time":[67],"solution":[69],"quality.":[70],"results":[72,106,141],"show":[73,184],"while":[75],"it":[76,90,187],"can":[77,103],"outperform":[78],"them":[81],"(especially":[82],"size":[85],"grows),":[89],"outperformed":[92],"by":[93],"other":[95],"tested":[97,108],"instances":[98,109],"low":[100],"complexity,":[101],"but":[102],"yield":[104],"good":[105],"higher":[111],"values":[112],"this":[114],"parameters.":[115],"quality":[117],"may":[118],"be":[119],"useful":[120],"real-world":[122],"problems.":[124],"We":[125,172],"validate":[127],"first":[129,150],"phase":[130,151],"our":[132,197],"method,":[133],"i.e.,":[134],"selection,":[136],"numerical":[138],"experiments.":[139],"indicate":[142],"better":[144,154],"vectors":[146],"selected":[147],"lead":[152],"makespans":[155],"MRCPSP.":[158],"Moreover,":[159],"we":[160],"correct":[161],"some":[162],"erroneous":[163],"constraints":[164],"mathematical":[167,175],"model":[168,177],"problem.":[171],"implement":[173],"programming":[176],"GAMS,":[182],"optimality":[189],"requires":[190],"much":[191],"more":[192],"effort":[194],"method.":[198]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2026-08-23T07:36:19.812096","created_date":"2025-10-10T00:00:00"}