{"id":"https://openalex.org/W4404492017","doi":"https://doi.org/10.4236/ojapps.2024.1411204","title":"A Branch and Cut Algorithm for Two-Echelon Inventory Routing Problem with End-of-Tour Replenishment Policy","display_name":"A Branch and Cut Algorithm for Two-Echelon Inventory Routing Problem with End-of-Tour Replenishment Policy","publication_year":2024,"publication_date":"2024-01-01","ids":{"openalex":"https://openalex.org/W4404492017","doi":"https://doi.org/10.4236/ojapps.2024.1411204"},"language":"en","primary_location":{"id":"doi:10.4236/ojapps.2024.1411204","doi":"https://doi.org/10.4236/ojapps.2024.1411204","is_oa":true,"landing_page_url":"http://dx.doi.org/10.4236/ojapps.2024.1411204","pdf_url":"https://www.scirp.org/pdf/ojapps20241411_102312775.pdf","source":{"id":"https://openalex.org/S2764596442","display_name":"Open Journal of Applied Sciences","issn_l":"2165-3917","issn":["2165-3917","2165-3925"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core"],"host_organization":"https://openalex.org/P4310320480","host_organization_name":"Scientific Research Publishing","host_organization_lineage":["https://openalex.org/P4310320480"],"host_organization_lineage_names":["Scientific Research Publishing"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Open Journal of Applied Sciences","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://www.scirp.org/pdf/ojapps20241411_102312775.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5080527202","display_name":"Bi Koua\u00ef Bertin Kay\u00e9","orcid":"https://orcid.org/0000-0002-0306-5710","observed_orcids":["https://orcid.org/0000-0002-0306-5710"]},"institutions":[{"id":"https://openalex.org/I48615539","display_name":"Universit\u00e9 F\u00e9lix Houphou\u00ebt-Boigny","ror":"https://ror.org/03haqmz43","country_code":"CI","type":"education","lineage":["https://openalex.org/I48615539"]}],"countries":["CI"],"is_corresponding":false,"raw_author_name":"Bi Koua\u00ef Bertin Kay\u00e9","raw_affiliation_strings":["Laboratoire de M\u00e9canique et Informatique (LAMI) , Abidjan , C\u00f4te","UFR Math\u00e9matiques et Informatique , Universit\u00e9 F\u00e9lix Houphou\u00ebt-Boigny (UFHB) , Abidjan , C\u00f4te"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire de M\u00e9canique et Informatique (LAMI) , Abidjan , C\u00f4te","institution_ids":[]},{"raw_affiliation_string":"UFR Math\u00e9matiques et Informatique , Universit\u00e9 F\u00e9lix Houphou\u00ebt-Boigny (UFHB) , Abidjan , C\u00f4te","institution_ids":["https://openalex.org/I48615539"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5049969598","display_name":"Diako Doffou J\u00e9rome","orcid":"https://orcid.org/0000-0002-8815-587X","observed_orcids":["https://orcid.org/0000-0002-8815-587X"]},"institutions":[{"id":"https://openalex.org/I4405274235","display_name":"\u00c9cole Sup\u00e9rieure Africaine des TIC","ror":"https://ror.org/01anbmy79","country_code":"CI","type":"education","lineage":["https://openalex.org/I4405274235"]}],"countries":["CI"],"is_corresponding":false,"raw_author_name":"Doffou Jerome Diako","raw_affiliation_strings":["Ecole Sup\u00e9rieure des Technologies de l'Information et de la Communication (ESATIC) , Abidjan , C\u00f4te","Laboratoire des Sciences et Technologies de l'Information et de la Communication (LASTIC) , Abidjan , C\u00f4te d'Ivoire"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Ecole Sup\u00e9rieure des Technologies de l'Information et de la Communication (ESATIC) , Abidjan , C\u00f4te","institution_ids":["https://openalex.org/I4405274235"]},{"raw_affiliation_string":"Laboratoire des Sciences et Technologies de l'Information et de la Communication (LASTIC) , Abidjan , C\u00f4te d'Ivoire","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5033022867","display_name":"Zacrada Fran\u00e7oise Odile Trey","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Zacrada Fran\u00e7oise Odile Trey","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"14","issue":"11","first_page":"3100","last_page":"3126"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10567","display_name":"Vehicle Routing Optimization Methods","score":0.9961000084877014,"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":0.9961000084877014,"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/T10328","display_name":"Supply Chain and Inventory Management","score":0.0015999999595806003,"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/T14121","display_name":"Business Logistics and Inventory Control","score":0.00039999998989515007,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/branch-and-cut","display_name":"branch-and-cut","score":0.9110000133514404},{"id":"https://openalex.org/keywords/branch-and-price","display_name":"branch-and-price","score":0.8799999952316284},{"id":"https://openalex.org/keywords/mixed-integer-linear-programming","display_name":"mixed-integer linear programming","score":0.8799999952316284},{"id":"https://openalex.org/keywords/distribution-networks","display_name":"distribution networks","score":0.6470000147819519},{"id":"https://openalex.org/keywords/multi-period-planning","display_name":"multi-period planning","score":0.7319999933242798},{"id":"https://openalex.org/keywords/distribution-centers","display_name":"distribution centers","score":0.5889999866485596},{"id":"https://openalex.org/keywords/retail-inventory","display_name":"retail inventory","score":0.3630000054836273}],"concepts":[{"id":"https://openalex.org/C50797617","wikidata":"https://www.wikidata.org/wiki/Q498566","display_name":"Branch and cut","level":3,"score":0.6053006052970886},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.490268737077713},{"id":"https://openalex.org/C74172769","wikidata":"https://www.wikidata.org/wiki/Q1446839","display_name":"Routing (electronic design automation)","level":2,"score":0.47152742743492126},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.45599621534347534},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.40280407667160034},{"id":"https://openalex.org/C42475967","wikidata":"https://www.wikidata.org/wiki/Q194292","display_name":"Operations research","level":1,"score":0.3846588432788849},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.35380467772483826},{"id":"https://openalex.org/C56086750","wikidata":"https://www.wikidata.org/wiki/Q6042592","display_name":"Integer programming","level":2,"score":0.1598484218120575},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.4236/ojapps.2024.1411204","doi":"https://doi.org/10.4236/ojapps.2024.1411204","is_oa":true,"landing_page_url":"http://dx.doi.org/10.4236/ojapps.2024.1411204","pdf_url":"https://www.scirp.org/pdf/ojapps20241411_102312775.pdf","source":{"id":"https://openalex.org/S2764596442","display_name":"Open Journal of Applied Sciences","issn_l":"2165-3917","issn":["2165-3917","2165-3925"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core"],"host_organization":"https://openalex.org/P4310320480","host_organization_name":"Scientific Research Publishing","host_organization_lineage":["https://openalex.org/P4310320480"],"host_organization_lineage_names":["Scientific Research Publishing"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Open Journal of Applied Sciences","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.4236/ojapps.2024.1411204","doi":"https://doi.org/10.4236/ojapps.2024.1411204","is_oa":true,"landing_page_url":"http://dx.doi.org/10.4236/ojapps.2024.1411204","pdf_url":"https://www.scirp.org/pdf/ojapps20241411_102312775.pdf","source":{"id":"https://openalex.org/S2764596442","display_name":"Open Journal of Applied Sciences","issn_l":"2165-3917","issn":["2165-3917","2165-3925"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core"],"host_organization":"https://openalex.org/P4310320480","host_organization_name":"Scientific Research Publishing","host_organization_lineage":["https://openalex.org/P4310320480"],"host_organization_lineage_names":["Scientific Research Publishing"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Open Journal of Applied Sciences","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/9","display_name":"Industry, innovation and infrastructure","score":0.7207000255584717}],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4404492017.pdf","grobid_xml":"https://content.openalex.org/works/W4404492017.grobid-xml"},"referenced_works_count":48,"referenced_works":["https://openalex.org/W1975386621","https://openalex.org/W1976327318","https://openalex.org/W1978092895","https://openalex.org/W1988763622","https://openalex.org/W2041088973","https://openalex.org/W2045719928","https://openalex.org/W2071252081","https://openalex.org/W2081655128","https://openalex.org/W2098090443","https://openalex.org/W2107285901","https://openalex.org/W2127654349","https://openalex.org/W2130443144","https://openalex.org/W2136871443","https://openalex.org/W2160954736","https://openalex.org/W2184627981","https://openalex.org/W2281133739","https://openalex.org/W2295153992","https://openalex.org/W2341944679","https://openalex.org/W2467730800","https://openalex.org/W2555320979","https://openalex.org/W2740824376","https://openalex.org/W2766162656","https://openalex.org/W2783647323","https://openalex.org/W2788354553","https://openalex.org/W2803946376","https://openalex.org/W2885294009","https://openalex.org/W2896664659","https://openalex.org/W2910844905","https://openalex.org/W2922660539","https://openalex.org/W2941226746","https://openalex.org/W3008555572","https://openalex.org/W3010391902","https://openalex.org/W3013155384","https://openalex.org/W3025850278","https://openalex.org/W3099254908","https://openalex.org/W3104040092","https://openalex.org/W3123614019","https://openalex.org/W3167170591","https://openalex.org/W3167751710","https://openalex.org/W4246543477","https://openalex.org/W4253477096","https://openalex.org/W4281254337","https://openalex.org/W4384068836","https://openalex.org/W4384700292","https://openalex.org/W4386773677","https://openalex.org/W4395960912","https://openalex.org/W4400721347","https://openalex.org/W4401423246"],"related_works":["https://openalex.org/W4401423246","https://openalex.org/W3013155384","https://openalex.org/W3033405475","https://openalex.org/W4394029671","https://openalex.org/W1832376799","https://openalex.org/W2885294009","https://openalex.org/W2806161651","https://openalex.org/W2975368074","https://openalex.org/W2134657424","https://openalex.org/W3082043861"],"abstract_inverted_index":{"This":[0],"study":[1],"presents":[2],"a":[3,20,30,49,64,81,93],"two-echelon":[4],"inventory":[5],"routing":[6],"problem":[7,38,60],"(2E-IRP)":[8],"with":[9,92,129,156,160],"an":[10,161],"end-of-tour":[11],"replenishment":[12],"(ETR)":[13],"policy":[14],"whose":[15],"distribution":[16,23,95],"network":[17],"consists":[18],"of":[19,36,48,58,72,80,99,110,116,165],"supplier,":[21],"several":[22,27],"centers":[24],"(DCs)":[25],"and":[26,66,83,119],"retailers":[28],"on":[29,40,90,133],"multi-period":[31],"planning":[32],"horizon.":[33],"A":[34],"formulation":[35],"the":[37,46,59,73,78,88,100,104,117,130,138,151,157],"based":[39],"vehicle":[41],"indices":[42],"is":[43,61],"proposed":[44],"in":[45],"form":[47],"mixed":[50],"integer":[51],"linear":[52],"program":[53],"(MILP).":[54],"The":[55,70,97,114],"mathematical":[56],"model":[57],"solved":[62,155],"using":[63],"branch":[65,82],"cut":[67],"(B&C)":[68],"algorithm.":[69],"results":[71,79,98,121,154],"tests":[74,101],"are":[75,127],"compared":[76,149],"to":[77,147,150],"price":[84],"(B&P)":[85],"algorithm":[86,106,132,140],"from":[87,145],"literature":[89],"2E-IRP":[91,153],"classical":[94],"policy.":[96],"show":[102],"that":[103,123],"B&C":[105,118,131,139],"solves":[107],"197":[108,134],"out":[109],"200":[111],"instances":[112,135],"(98.5%).":[113],"comparison":[115],"B&P":[120,158],"shows":[122],"185":[124],"best":[125],"solutions":[126],"obtained":[128],"(93.9%).":[136],"Overall,":[137],"achieves":[141],"cost":[142],"reductions":[143],"ranging":[144],"0.26%":[146],"41.44%":[148],"classic":[152],"algorithm,":[159],"overall":[162],"average":[163],"reduction":[164],"18.08%.":[166]},"counts_by_year":[],"updated_date":"2026-10-12T09:40:04.860316","created_date":"2024-11-19T00:00:00"}