{"id":"https://openalex.org/W2805193426","doi":"https://doi.org/10.1007/s12351-018-0403-4","title":"Two metaheuristic approaches for solving the multi-compartment vehicle routing problem","display_name":"Two metaheuristic approaches for solving the multi-compartment vehicle routing problem","publication_year":2018,"publication_date":"2018-06-08","ids":{"openalex":"https://openalex.org/W2805193426","doi":"https://doi.org/10.1007/s12351-018-0403-4","mag":"2805193426"},"language":"en","primary_location":{"id":"doi:10.1007/s12351-018-0403-4","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s12351-018-0403-4","pdf_url":"https://link.springer.com/content/pdf/10.1007/s12351-018-0403-4.pdf","source":{"id":"https://openalex.org/S140563256","display_name":"Operational Research","issn_l":"1109-2858","issn":["1109-2858","1866-1505"],"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":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Operational Research","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s12351-018-0403-4.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5086983175","display_name":"Hiba Yahyaoui","orcid":null},"institutions":[{"id":"https://openalex.org/I108714496","display_name":"Tunis University","ror":"https://ror.org/02q1spa57","country_code":"TN","type":"education","lineage":["https://openalex.org/I108714496"]},{"id":"https://openalex.org/I4210140729","display_name":"Institut Sup\u00e9rieur de Gestion de Tunis","ror":"https://ror.org/04w9mdw91","country_code":"TN","type":"education","lineage":["https://openalex.org/I108714496","https://openalex.org/I4210140729"]},{"id":"https://openalex.org/I4210150237","display_name":"Dhofar University","ror":"https://ror.org/05d5f5m07","country_code":"OM","type":"education","lineage":["https://openalex.org/I4210150237"]}],"countries":["OM","TN"],"is_corresponding":true,"raw_author_name":"Hiba Yahyaoui","raw_affiliation_strings":["College of Arts and Applied Sciences, Dhofar University, Salalah, Sultanate of Oman","Institut Sup\u00e9rieur de Gestion, LARODEC laboratory, Universit\u00e9 de Tunis, Tunis, Tunisia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Arts and Applied Sciences, Dhofar University, Salalah, Sultanate of Oman","institution_ids":["https://openalex.org/I4210150237"]},{"raw_affiliation_string":"Institut Sup\u00e9rieur de Gestion, LARODEC laboratory, Universit\u00e9 de Tunis, Tunis, Tunisia","institution_ids":["https://openalex.org/I108714496","https://openalex.org/I4210140729"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5008704409","display_name":"Islem Kaabachi","orcid":null},"institutions":[{"id":"https://openalex.org/I108714496","display_name":"Tunis University","ror":"https://ror.org/02q1spa57","country_code":"TN","type":"education","lineage":["https://openalex.org/I108714496"]},{"id":"https://openalex.org/I4210140729","display_name":"Institut Sup\u00e9rieur de Gestion de Tunis","ror":"https://ror.org/04w9mdw91","country_code":"TN","type":"education","lineage":["https://openalex.org/I108714496","https://openalex.org/I4210140729"]}],"countries":["TN"],"is_corresponding":false,"raw_author_name":"Islem Kaabachi","raw_affiliation_strings":["Institut Sup\u00e9rieur de Gestion, LARODEC laboratory, Universit\u00e9 de Tunis, Tunis, Tunisia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut Sup\u00e9rieur de Gestion, LARODEC laboratory, Universit\u00e9 de Tunis, Tunis, Tunisia","institution_ids":["https://openalex.org/I108714496","https://openalex.org/I4210140729"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5021582108","display_name":"Saoussen Krichen","orcid":"https://orcid.org/0000-0003-0347-6808"},"institutions":[{"id":"https://openalex.org/I108714496","display_name":"Tunis University","ror":"https://ror.org/02q1spa57","country_code":"TN","type":"education","lineage":["https://openalex.org/I108714496"]},{"id":"https://openalex.org/I4210140729","display_name":"Institut Sup\u00e9rieur de Gestion de Tunis","ror":"https://ror.org/04w9mdw91","country_code":"TN","type":"education","lineage":["https://openalex.org/I108714496","https://openalex.org/I4210140729"]}],"countries":["TN"],"is_corresponding":false,"raw_author_name":"Saoussen Krichen","raw_affiliation_strings":["Institut Sup\u00e9rieur de Gestion, LARODEC laboratory, Universit\u00e9 de Tunis, Tunis, Tunisia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut Sup\u00e9rieur de Gestion, LARODEC laboratory, Universit\u00e9 de Tunis, Tunis, Tunisia","institution_ids":["https://openalex.org/I108714496","https://openalex.org/I4210140729"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5079110584","display_name":"Abdulkader Dekdouk","orcid":null},"institutions":[{"id":"https://openalex.org/I4210150237","display_name":"Dhofar University","ror":"https://ror.org/05d5f5m07","country_code":"OM","type":"education","lineage":["https://openalex.org/I4210150237"]}],"countries":["OM"],"is_corresponding":false,"raw_author_name":"Abdulkader Dekdouk","raw_affiliation_strings":["College of Arts and Applied Sciences, Dhofar University, Salalah, Sultanate of Oman"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Arts and Applied Sciences, Dhofar University, Salalah, Sultanate of Oman","institution_ids":["https://openalex.org/I4210150237"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5086983175"],"corresponding_institution_ids":["https://openalex.org/I108714496","https://openalex.org/I4210140729","https://openalex.org/I4210150237"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":{"value":2990,"currency":"USD","value_usd":2990},"fwci":2.7961,"has_fulltext":true,"cited_by_count":51,"citation_normalized_percentile":{"value":0.91458583,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":100},"biblio":{"volume":"20","issue":"4","first_page":"2085","last_page":"2108"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10567","display_name":"Vehicle Routing Optimization Methods","score":0.9998999834060669,"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":0.9998999834060669,"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/T12306","display_name":"Urban and Freight Transport Logistics","score":0.9907000064849854,"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"}},{"id":"https://openalex.org/T11942","display_name":"Transportation and Mobility Innovations","score":0.9860000014305115,"subfield":{"id":"https://openalex.org/subfields/2203","display_name":"Automotive 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/vehicle-routing-problem","display_name":"Vehicle routing problem","score":0.7560910582542419},{"id":"https://openalex.org/keywords/truck","display_name":"Truck","score":0.6702489852905273},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6693909764289856},{"id":"https://openalex.org/keywords/heuristics","display_name":"Heuristics","score":0.6270890235900879},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.6205739974975586},{"id":"https://openalex.org/keywords/variable-neighborhood-search","display_name":"Variable neighborhood search","score":0.6131553649902344},{"id":"https://openalex.org/keywords/routing","display_name":"Routing (electronic design automation)","score":0.6105775237083435},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6001601815223694},{"id":"https://openalex.org/keywords/benchmark","display_name":"Benchmark (surveying)","score":0.5953450798988342},{"id":"https://openalex.org/keywords/metaheuristic","display_name":"Metaheuristic","score":0.5945236682891846},{"id":"https://openalex.org/keywords/computational-intelligence","display_name":"Computational intelligence","score":0.5123992562294006},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.4824264943599701},{"id":"https://openalex.org/keywords/crossover","display_name":"Crossover","score":0.44678133726119995},{"id":"https://openalex.org/keywords/permutation","display_name":"Permutation (music)","score":0.41718408465385437},{"id":"https://openalex.org/keywords/operations-research","display_name":"Operations research","score":0.3486473262310028},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.21881932020187378},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.21310487389564514},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.19993850588798523},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.12364405393600464},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.08209836483001709}],"concepts":[{"id":"https://openalex.org/C123784306","wikidata":"https://www.wikidata.org/wiki/Q944041","display_name":"Vehicle routing problem","level":3,"score":0.7560910582542419},{"id":"https://openalex.org/C52121051","wikidata":"https://www.wikidata.org/wiki/Q43193","display_name":"Truck","level":2,"score":0.6702489852905273},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6693909764289856},{"id":"https://openalex.org/C127705205","wikidata":"https://www.wikidata.org/wiki/Q5748245","display_name":"Heuristics","level":2,"score":0.6270890235900879},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.6205739974975586},{"id":"https://openalex.org/C2776435737","wikidata":"https://www.wikidata.org/wiki/Q7915703","display_name":"Variable neighborhood search","level":3,"score":0.6131553649902344},{"id":"https://openalex.org/C74172769","wikidata":"https://www.wikidata.org/wiki/Q1446839","display_name":"Routing (electronic design automation)","level":2,"score":0.6105775237083435},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6001601815223694},{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.5953450798988342},{"id":"https://openalex.org/C109718341","wikidata":"https://www.wikidata.org/wiki/Q1385229","display_name":"Metaheuristic","level":2,"score":0.5945236682891846},{"id":"https://openalex.org/C139502532","wikidata":"https://www.wikidata.org/wiki/Q1122090","display_name":"Computational intelligence","level":2,"score":0.5123992562294006},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.4824264943599701},{"id":"https://openalex.org/C122507166","wikidata":"https://www.wikidata.org/wiki/Q628906","display_name":"Crossover","level":2,"score":0.44678133726119995},{"id":"https://openalex.org/C21308566","wikidata":"https://www.wikidata.org/wiki/Q7169365","display_name":"Permutation (music)","level":2,"score":0.41718408465385437},{"id":"https://openalex.org/C42475967","wikidata":"https://www.wikidata.org/wiki/Q194292","display_name":"Operations research","level":1,"score":0.3486473262310028},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.21881932020187378},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.21310487389564514},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.19993850588798523},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.12364405393600464},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.08209836483001709},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C13280743","wikidata":"https://www.wikidata.org/wiki/Q131089","display_name":"Geodesy","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","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},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s12351-018-0403-4","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s12351-018-0403-4","pdf_url":"https://link.springer.com/content/pdf/10.1007/s12351-018-0403-4.pdf","source":{"id":"https://openalex.org/S140563256","display_name":"Operational Research","issn_l":"1109-2858","issn":["1109-2858","1866-1505"],"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":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Operational Research","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:spr:operea:v:20:y:2020:i:4:d:10.1007_s12351-018-0403-4","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s12351-018-0403-4","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"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":"article"}],"best_oa_location":{"id":"doi:10.1007/s12351-018-0403-4","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s12351-018-0403-4","pdf_url":"https://link.springer.com/content/pdf/10.1007/s12351-018-0403-4.pdf","source":{"id":"https://openalex.org/S140563256","display_name":"Operational Research","issn_l":"1109-2858","issn":["1109-2858","1866-1505"],"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":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Operational Research","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","score":0.4399999976158142,"id":"https://metadata.un.org/sdg/11"}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2805193426.pdf","grobid_xml":"https://content.openalex.org/works/W2805193426.grobid-xml"},"referenced_works_count":29,"referenced_works":["https://openalex.org/W1194849549","https://openalex.org/W1506789314","https://openalex.org/W1926304576","https://openalex.org/W1963722242","https://openalex.org/W1978304871","https://openalex.org/W1979567879","https://openalex.org/W2008616734","https://openalex.org/W2009168408","https://openalex.org/W2009639368","https://openalex.org/W2010334716","https://openalex.org/W2021408682","https://openalex.org/W2025355525","https://openalex.org/W2045558681","https://openalex.org/W2078219425","https://openalex.org/W2086399386","https://openalex.org/W2088243692","https://openalex.org/W2092003490","https://openalex.org/W2105691885","https://openalex.org/W2156785270","https://openalex.org/W2289706264","https://openalex.org/W2488241848","https://openalex.org/W2514214899","https://openalex.org/W2523385593","https://openalex.org/W2551495154","https://openalex.org/W2563457599","https://openalex.org/W2565921978","https://openalex.org/W2593437733","https://openalex.org/W2976664243","https://openalex.org/W3121988186"],"related_works":["https://openalex.org/W2996796639","https://openalex.org/W4366149309","https://openalex.org/W2972305535","https://openalex.org/W2372463611","https://openalex.org/W30690955","https://openalex.org/W2612803944","https://openalex.org/W2978804656","https://openalex.org/W2474040433","https://openalex.org/W2990508582","https://openalex.org/W2084151425"],"abstract_inverted_index":{"Abstract":[0],"We":[1,165],"address":[2],"in":[3,32,113,128],"this":[4,129,154],"paper":[5,130],"a":[6,22,69,78,145,161,180],"multi-compartment":[7],"vehicle":[8],"routing":[9,102],"problem":[10,64,136,155,184],"(MCVRP)":[11],"that":[12,104],"aims":[13],"to":[14,21,53,99,152,188],"plan":[15],"the":[16,49,55,60,90,93,106,116,120,124,157,167,170,174,190,193],"delivery":[17,50],"of":[18,24,48,72,80,92,109,115,123,159,169,182,192],"different":[19],"products":[20],"set":[23,71,79,181],"geographically":[25],"dispatched":[26],"customers.":[27],"The":[28,45,63],"MCVRP":[29],"is":[30,52,66,97,186],"encountered":[31],"many":[33],"industries,":[34],"our":[35],"research":[36],"has":[37],"been":[38],"motivated":[39],"by":[40,59],"petrol":[41],"station":[42],"replenishment":[43],"problem.":[44],"main":[46],"objective":[47],"process":[51],"minimize":[54],"total":[56,94],"driving":[57],"distance":[58,96],"used":[61,187],"trucks.":[62],"configuration":[65],"described":[67],"through":[68],"prefixed":[70,85],"trucks":[73],"with":[74,82,156,173],"several":[75],"compartments":[76],"and":[77,84,101,144,179],"customers":[81],"demands":[83],"delivery.":[86],"Given":[87],"such":[88],"inputs,":[89],"minimization":[91],"traveled":[95],"subject":[98],"assignment":[100],"constraints":[103],"express":[105],"capacity":[107],"limitations":[108],"each":[110],"truck\u2019s":[111],"compartment":[112],"terms":[114],"pathways\u2019":[117],"restrictions.":[118],"For":[119],"NP":[121],"-hardness":[122],"problem,":[125],"we":[126],"propose":[127],"two":[131],"algorithms":[132],"mainly":[133],"for":[134],"large":[135],"instances:":[137],"an":[138],"adaptive":[139],"variable":[140],"neighborhood":[141],"search":[142],"(AVNS)":[143],"Partially":[146],"Matched":[147],"Crossover":[148],"PMX-based":[149],"Genetic":[150],"Algorithm":[151],"solve":[153],"goal":[158],"ensuring":[160],"better":[162],"solution":[163,176],"quality.":[164],"compare":[166],"ability":[168],"proposed":[171,195],"AVNS":[172],"exact":[175],"using":[177],"CPLEX":[178],"benchmark":[183],"instances":[185],"analyze":[189],"performance":[191],"both":[194],"meta-heuristics.":[196]},"counts_by_year":[{"year":2026,"cited_by_count":7},{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":9},{"year":2023,"cited_by_count":7},{"year":2022,"cited_by_count":9},{"year":2021,"cited_by_count":7},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":2}],"updated_date":"2026-08-02T14:50:37.381335","created_date":"2025-10-10T00:00:00"}