{"id":"https://openalex.org/W4408500116","doi":"https://doi.org/10.1111/itor.70019","title":"Production routing decisions in a two\u2010echelon supply chain with multiple delivery modes","display_name":"Production routing decisions in a two\u2010echelon supply chain with multiple delivery modes","publication_year":2025,"publication_date":"2025-03-17","ids":{"openalex":"https://openalex.org/W4408500116","doi":"https://doi.org/10.1111/itor.70019"},"language":"en","primary_location":{"id":"doi:10.1111/itor.70019","is_oa":true,"landing_page_url":"https://doi.org/10.1111/itor.70019","pdf_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1111/itor.70019","source":{"id":"https://openalex.org/S267729","display_name":"International Transactions in Operational Research","issn_l":"0969-6016","issn":["0969-6016","1475-3995"],"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":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Transactions in Operational Research","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1111/itor.70019","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5116433879","display_name":"Rachida Benfedel","orcid":"https://orcid.org/0009-0006-4832-5762"},"institutions":[{"id":"https://openalex.org/I233209018","display_name":"University of Abou Bekr Belka\u00efd","ror":"https://ror.org/00jsjm362","country_code":"DZ","type":"education","lineage":["https://openalex.org/I233209018"]},{"id":"https://openalex.org/I92834545","display_name":"\u00c9cole Sup\u00e9rieure de Commerce de Rennes","ror":"https://ror.org/02f08fz18","country_code":"FR","type":"education","lineage":["https://openalex.org/I92834545"]}],"countries":["DZ","FR"],"is_corresponding":true,"raw_author_name":"Rachida Benfedel","raw_affiliation_strings":["Manufacturing Engineering Laboratory of Tlemcen University of Tlemcen  22, Rue Abi Ayed Abdelkrim Fg Pasteur B.P 119 Tlemcen 13000 Algeria","Rennes School of Business 2 rue Robert d'Arbrisel Rennes 35065 France"],"raw_orcid":"https://orcid.org/0009-0006-4832-5762","affiliations":[{"raw_affiliation_string":"Manufacturing Engineering Laboratory of Tlemcen University of Tlemcen  22, Rue Abi Ayed Abdelkrim Fg Pasteur B.P 119 Tlemcen 13000 Algeria","institution_ids":["https://openalex.org/I233209018"]},{"raw_affiliation_string":"Rennes School of Business 2 rue Robert d'Arbrisel Rennes 35065 France","institution_ids":["https://openalex.org/I92834545"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5032926666","display_name":"Fay\u00e7al Belkaid","orcid":"https://orcid.org/0000-0003-3531-3931"},"institutions":[{"id":"https://openalex.org/I233209018","display_name":"University of Abou Bekr Belka\u00efd","ror":"https://ror.org/00jsjm362","country_code":"DZ","type":"education","lineage":["https://openalex.org/I233209018"]}],"countries":["DZ"],"is_corresponding":false,"raw_author_name":"Fay\u00e7al Belkaid","raw_affiliation_strings":["Manufacturing Engineering Laboratory of Tlemcen University of Tlemcen  22, Rue Abi Ayed Abdelkrim Fg Pasteur B.P 119 Tlemcen 13000 Algeria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Manufacturing Engineering Laboratory of Tlemcen University of Tlemcen  22, Rue Abi Ayed Abdelkrim Fg Pasteur B.P 119 Tlemcen 13000 Algeria","institution_ids":["https://openalex.org/I233209018"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5047966849","display_name":"Nadjib Brahimi","orcid":"https://orcid.org/0000-0002-6749-6296"},"institutions":[{"id":"https://openalex.org/I92834545","display_name":"\u00c9cole Sup\u00e9rieure de Commerce de Rennes","ror":"https://ror.org/02f08fz18","country_code":"FR","type":"education","lineage":["https://openalex.org/I92834545"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Nadjib Brahimi","raw_affiliation_strings":["Rennes School of Business 2 rue Robert d'Arbrisel Rennes 35065 France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Rennes School of Business 2 rue Robert d'Arbrisel Rennes 35065 France","institution_ids":["https://openalex.org/I92834545"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5116433879"],"corresponding_institution_ids":["https://openalex.org/I233209018","https://openalex.org/I92834545"],"apc_list":{"value":3660,"currency":"USD","value_usd":3660},"apc_paid":{"value":3660,"currency":"USD","value_usd":3660},"fwci":1.6201,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.83017999,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":96},"biblio":{"volume":"33","issue":"5","first_page":"3385","last_page":"3421"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10567","display_name":"Vehicle Routing Optimization Methods","score":0.9988999962806702,"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":0.9988999962806702,"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/T11814","display_name":"Advanced Manufacturing and Logistics Optimization","score":0.9980999827384949,"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/T12176","display_name":"Optimization and Packing Problems","score":0.9965000152587891,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/supply-chain","display_name":"Supply chain","score":0.693952739238739},{"id":"https://openalex.org/keywords/production","display_name":"Production (economics)","score":0.5831745862960815},{"id":"https://openalex.org/keywords/business","display_name":"Business","score":0.535351574420929},{"id":"https://openalex.org/keywords/routing","display_name":"Routing (electronic design automation)","score":0.49279192090034485},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.45576533675193787},{"id":"https://openalex.org/keywords/supply-chain-management","display_name":"Supply chain management","score":0.42426058650016785},{"id":"https://openalex.org/keywords/industrial-organization","display_name":"Industrial organization","score":0.40339425206184387},{"id":"https://openalex.org/keywords/operations-research","display_name":"Operations research","score":0.4015979766845703},{"id":"https://openalex.org/keywords/operations-management","display_name":"Operations management","score":0.38730961084365845},{"id":"https://openalex.org/keywords/microeconomics","display_name":"Microeconomics","score":0.29316195845603943},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.26099491119384766},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.15128132700920105},{"id":"https://openalex.org/keywords/marketing","display_name":"Marketing","score":0.14319661259651184},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.1117977499961853}],"concepts":[{"id":"https://openalex.org/C108713360","wikidata":"https://www.wikidata.org/wiki/Q1824206","display_name":"Supply chain","level":2,"score":0.693952739238739},{"id":"https://openalex.org/C2778348673","wikidata":"https://www.wikidata.org/wiki/Q739302","display_name":"Production (economics)","level":2,"score":0.5831745862960815},{"id":"https://openalex.org/C144133560","wikidata":"https://www.wikidata.org/wiki/Q4830453","display_name":"Business","level":0,"score":0.535351574420929},{"id":"https://openalex.org/C74172769","wikidata":"https://www.wikidata.org/wiki/Q1446839","display_name":"Routing (electronic design automation)","level":2,"score":0.49279192090034485},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.45576533675193787},{"id":"https://openalex.org/C44104985","wikidata":"https://www.wikidata.org/wiki/Q492886","display_name":"Supply chain management","level":3,"score":0.42426058650016785},{"id":"https://openalex.org/C40700","wikidata":"https://www.wikidata.org/wiki/Q1411783","display_name":"Industrial organization","level":1,"score":0.40339425206184387},{"id":"https://openalex.org/C42475967","wikidata":"https://www.wikidata.org/wiki/Q194292","display_name":"Operations research","level":1,"score":0.4015979766845703},{"id":"https://openalex.org/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","level":1,"score":0.38730961084365845},{"id":"https://openalex.org/C175444787","wikidata":"https://www.wikidata.org/wiki/Q39072","display_name":"Microeconomics","level":1,"score":0.29316195845603943},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.26099491119384766},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.15128132700920105},{"id":"https://openalex.org/C162853370","wikidata":"https://www.wikidata.org/wiki/Q39809","display_name":"Marketing","level":1,"score":0.14319661259651184},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.1117977499961853}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1111/itor.70019","is_oa":true,"landing_page_url":"https://doi.org/10.1111/itor.70019","pdf_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1111/itor.70019","source":{"id":"https://openalex.org/S267729","display_name":"International Transactions in Operational Research","issn_l":"0969-6016","issn":["0969-6016","1475-3995"],"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":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Transactions in Operational Research","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-05597777v1","is_oa":true,"landing_page_url":"https://hal.science/hal-05597777","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"International Transactions in Operational Research, 2025, 33, pp.3385 - 3421. &#x27E8;10.1111/itor.70019&#x27E9;","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.1111/itor.70019","is_oa":true,"landing_page_url":"https://doi.org/10.1111/itor.70019","pdf_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1111/itor.70019","source":{"id":"https://openalex.org/S267729","display_name":"International Transactions in Operational Research","issn_l":"0969-6016","issn":["0969-6016","1475-3995"],"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":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Transactions in Operational Research","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4408500116.pdf"},"referenced_works_count":52,"referenced_works":["https://openalex.org/W1529091500","https://openalex.org/W1931616235","https://openalex.org/W1970366397","https://openalex.org/W1975602051","https://openalex.org/W2008954415","https://openalex.org/W2013828085","https://openalex.org/W2022306346","https://openalex.org/W2024645472","https://openalex.org/W2033178724","https://openalex.org/W2035982916","https://openalex.org/W2039059460","https://openalex.org/W2044446244","https://openalex.org/W2064846580","https://openalex.org/W2068381993","https://openalex.org/W2074875330","https://openalex.org/W2081941840","https://openalex.org/W2105575625","https://openalex.org/W2107306858","https://openalex.org/W2108911946","https://openalex.org/W2110349844","https://openalex.org/W2111563176","https://openalex.org/W2114778474","https://openalex.org/W2139076300","https://openalex.org/W2167920084","https://openalex.org/W2168210873","https://openalex.org/W2209647454","https://openalex.org/W2326897641","https://openalex.org/W2480218064","https://openalex.org/W2516444468","https://openalex.org/W2612120459","https://openalex.org/W2613241661","https://openalex.org/W2735006321","https://openalex.org/W2766885137","https://openalex.org/W2787740155","https://openalex.org/W2792612330","https://openalex.org/W2802765707","https://openalex.org/W2884960304","https://openalex.org/W2970460007","https://openalex.org/W2997985270","https://openalex.org/W3033405475","https://openalex.org/W3121889014","https://openalex.org/W3131586835","https://openalex.org/W3177079419","https://openalex.org/W4205766554","https://openalex.org/W4214813201","https://openalex.org/W4220706691","https://openalex.org/W4220734731","https://openalex.org/W4225281515","https://openalex.org/W4256185527","https://openalex.org/W4306964247","https://openalex.org/W4405261120","https://openalex.org/W4405342628"],"related_works":["https://openalex.org/W2899084033","https://openalex.org/W2767550285","https://openalex.org/W2620085874","https://openalex.org/W2064496565","https://openalex.org/W2327847502","https://openalex.org/W1575661125","https://openalex.org/W2281899373","https://openalex.org/W2983500849","https://openalex.org/W3024999678","https://openalex.org/W388184414"],"abstract_inverted_index":{"Abstract":[0],"We":[1],"study":[2],"an":[3,229,238],"original":[4],"two\u2010echelon":[5],"production":[6,20,111],"routing":[7,73],"problem":[8],"with":[9,24,60,93,152,164,196],"multiple":[10],"delivery":[11,50,80,199],"modes":[12,81],"(2E\u2010PRP\u2010MDM).":[13],"In":[14,44,121,188],"the":[15,18,26,45,53,61,68,85,160,169,176,180,185,202,207,222,225,250,254,261],"first":[16],"echelon,":[17,47],"primary":[19],"facility":[21],"is":[22,82],"tasked":[23],"satisfying":[25],"demands":[27],"of":[28,34,39,55,58,63,77,87,179,190,224,228,245,253,263],"two":[29,78,139],"distinct":[30],"entities:":[31],"a":[32,37,132,141,147,242],"set":[33,38],"warehouses":[35,48,205,264],"and":[36,98,114,138,146,197],"customers":[40,59,66,88,92,100],"through":[41],"direct":[42],"shipments.":[43],"second":[46],"become":[49],"hubs,":[51],"meeting":[52],"needs":[54],"another":[56],"group":[57],"possibility":[62],"delivering":[64],"several":[65],"using":[67],"same":[69],"vehicle,":[70],"which":[71,172],"entails":[72],"decisions.":[74],"The":[75,234],"use":[76],"different":[79],"justified":[83],"by":[84],"segmentation":[86],"into":[89],"very":[90],"important":[91],"high":[94],"volumes":[95],"(first":[96],"echelon)":[97],"low\u2010volume":[99],"(second":[101],"echelon).":[102],"This":[103],"supply":[104,226],"chain":[105,227],"structure":[106],"requires":[107],"efficient":[108],"decisions":[109],"on":[110,184,221],"planning,":[112],"routing,":[113],"practical":[115],"resource":[116],"allocation":[117],"across":[118],"both":[119],"echelons.":[120],"order":[122],"to":[123,204,206,217,249,269],"address":[124],"this":[125],"challenging":[126],"optimization":[127],"problem,":[128],"we":[129,193],"have":[130],"developed":[131],"mixed\u2010integer":[133],"linear":[134],"programming":[135],"(MILP)":[136],"formulation":[137],"heuristics,":[140],"three\u2010phase":[142],"iterative":[143],"(3PI)":[144],"approach,":[145,171],"simulated":[148,161],"annealing":[149,162],"(SA)":[150],"algorithm":[151],"path":[153,165],"relinking.":[154],"Extensive":[155],"numerical":[156],"experiments":[157],"showed":[158],"that":[159,237,259],"heuristic":[163],"relinking":[166],"(PR)":[167],"outperforms":[168,175],"3PI":[170],"in":[173],"turn":[174],"branch\u2010and\u2010cut":[177],"procedure":[178],"solver":[181],"when":[182],"run":[183],"MILP":[186],"formulation.":[187],"terms":[189],"managerial":[191],"insights,":[192],"compared":[194,248],"scenarios":[195],"without":[198],"flexibility":[200],"from":[201],"manufacturing":[203],"customers.":[208],"Our":[209],"findings":[210],"provide":[211],"valuable":[212],"insights":[213],"for":[214],"managers":[215],"seeking":[216],"reduce":[218],"costs,":[219],"based":[220],"analysis":[223],"Algerian":[230],"soft":[231],"drink":[232],"company.":[233,255],"results":[235],"show":[236],"integrated":[239],"approach":[240],"achieves":[241],"cost":[243],"reduction":[244],"over":[246],"2.73%":[247],"current":[251],"practice":[252],"Additionally,":[256],"they":[257],"reveal":[258],"increasing":[260],"number":[262],"does":[265],"not":[266],"always":[267],"lead":[268],"lower":[270],"total":[271],"costs.":[272]},"counts_by_year":[{"year":2025,"cited_by_count":2}],"updated_date":"2026-07-02T09:51:11.867554","created_date":"2025-10-10T00:00:00"}
