{"id":"https://openalex.org/W4313335299","doi":"https://doi.org/10.1007/s42979-022-01496-0","title":"Efficient Order Batching Optimization Using Seed Heuristics and the Metropolis Algorithm","display_name":"Efficient Order Batching Optimization Using Seed Heuristics and the Metropolis Algorithm","publication_year":2022,"publication_date":"2022-12-17","ids":{"openalex":"https://openalex.org/W4313335299","doi":"https://doi.org/10.1007/s42979-022-01496-0"},"language":"en","primary_location":{"id":"doi:10.1007/s42979-022-01496-0","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s42979-022-01496-0","pdf_url":"https://link.springer.com/content/pdf/10.1007/s42979-022-01496-0.pdf","source":{"id":"https://openalex.org/S4210174798","display_name":"SN Computer Science","issn_l":"2661-8907","issn":["2661-8907","2662-995X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["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":"SN Computer Science","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/s42979-022-01496-0.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5022889087","display_name":"Johan Oxenstierna","orcid":"https://orcid.org/0000-0002-6608-9621"},"institutions":[{"id":"https://openalex.org/I187531555","display_name":"Lund University","ror":"https://ror.org/012a77v79","country_code":"SE","type":"education","lineage":["https://openalex.org/I187531555"]}],"countries":["SE"],"is_corresponding":true,"raw_author_name":"Johan Oxenstierna","raw_affiliation_strings":["Department of Computer Science, Lund University, Lund, Sweden","Kairos Logic AB, Lund, Sweden"],"raw_orcid":"https://orcid.org/0000-0002-6608-9621","affiliations":[{"raw_affiliation_string":"Department of Computer Science, Lund University, Lund, Sweden","institution_ids":["https://openalex.org/I187531555"]},{"raw_affiliation_string":"Kairos Logic AB, Lund, Sweden","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5064621408","display_name":"Jacek Malec","orcid":"https://orcid.org/0000-0002-2121-1937"},"institutions":[{"id":"https://openalex.org/I187531555","display_name":"Lund University","ror":"https://ror.org/012a77v79","country_code":"SE","type":"education","lineage":["https://openalex.org/I187531555"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Jacek Malec","raw_affiliation_strings":["Department of Computer Science, Lund University, Lund, Sweden"],"raw_orcid":"https://orcid.org/0000-0002-2121-1937","affiliations":[{"raw_affiliation_string":"Department of Computer Science, Lund University, Lund, Sweden","institution_ids":["https://openalex.org/I187531555"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5109357557","display_name":"Volker Krueger","orcid":null},"institutions":[{"id":"https://openalex.org/I187531555","display_name":"Lund University","ror":"https://ror.org/012a77v79","country_code":"SE","type":"education","lineage":["https://openalex.org/I187531555"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Volker Krueger","raw_affiliation_strings":["Department of Computer Science, Lund University, Lund, Sweden"],"raw_orcid":"https://orcid.org/0000-0002-8836-8816","affiliations":[{"raw_affiliation_string":"Department of Computer Science, Lund University, Lund, Sweden","institution_ids":["https://openalex.org/I187531555"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5022889087"],"corresponding_institution_ids":["https://openalex.org/I187531555"],"apc_list":{"value":2890,"currency":"USD","value_usd":2890},"apc_paid":{"value":2890,"currency":"USD","value_usd":2890},"fwci":0.3378,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.64066356,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":"4","issue":"2","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11814","display_name":"Advanced Manufacturing and Logistics Optimization","score":1.0,"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/T11814","display_name":"Advanced Manufacturing and Logistics Optimization","score":1.0,"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":0.9930999875068665,"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":0.9879000186920166,"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/benchmark","display_name":"Benchmark (surveying)","score":0.7393518686294556},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.728415846824646},{"id":"https://openalex.org/keywords/heuristics","display_name":"Heuristics","score":0.6872674822807312},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5212284326553345},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4864161014556885},{"id":"https://openalex.org/keywords/iterated-local-search","display_name":"Iterated local search","score":0.46216487884521484},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.43718230724334717},{"id":"https://openalex.org/keywords/metaheuristic","display_name":"Metaheuristic","score":0.3523697853088379},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.15626311302185059}],"concepts":[{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.7393518686294556},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.728415846824646},{"id":"https://openalex.org/C127705205","wikidata":"https://www.wikidata.org/wiki/Q5748245","display_name":"Heuristics","level":2,"score":0.6872674822807312},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5212284326553345},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4864161014556885},{"id":"https://openalex.org/C124145224","wikidata":"https://www.wikidata.org/wiki/Q6094397","display_name":"Iterated local search","level":3,"score":0.46216487884521484},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.43718230724334717},{"id":"https://openalex.org/C109718341","wikidata":"https://www.wikidata.org/wiki/Q1385229","display_name":"Metaheuristic","level":2,"score":0.3523697853088379},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.15626311302185059},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","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/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s42979-022-01496-0","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s42979-022-01496-0","pdf_url":"https://link.springer.com/content/pdf/10.1007/s42979-022-01496-0.pdf","source":{"id":"https://openalex.org/S4210174798","display_name":"SN Computer Science","issn_l":"2661-8907","issn":["2661-8907","2662-995X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["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":"SN Computer Science","raw_type":"journal-article"},{"id":"pmh:oai:lup.lub.lu.se:a466faad-dd3e-41f6-8e65-fa62b17cc5aa","is_oa":false,"landing_page_url":"https://lup.lub.lu.se/record/a466faad-dd3e-41f6-8e65-fa62b17cc5aa","pdf_url":null,"source":{"id":"https://openalex.org/S4306400536","display_name":"Lund University Publications (Lund University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I187531555","host_organization_name":"Lund University","host_organization_lineage":["https://openalex.org/I187531555"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISSN: 2662-995X","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.1007/s42979-022-01496-0","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s42979-022-01496-0","pdf_url":"https://link.springer.com/content/pdf/10.1007/s42979-022-01496-0.pdf","source":{"id":"https://openalex.org/S4210174798","display_name":"SN Computer Science","issn_l":"2661-8907","issn":["2661-8907","2662-995X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["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":"SN Computer Science","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/9","display_name":"Industry, innovation and infrastructure","score":0.6100000143051147}],"awards":[],"funders":[{"id":"https://openalex.org/F4320321806","display_name":"Lunds Universitet","ror":"https://ror.org/012a77v79"},{"id":"https://openalex.org/F4320322327","display_name":"Knut och Alice Wallenbergs Stiftelse","ror":"https://ror.org/004hzzk67"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4313335299.pdf","grobid_xml":"https://content.openalex.org/works/W4313335299.grobid-xml"},"referenced_works_count":35,"referenced_works":["https://openalex.org/W626292722","https://openalex.org/W1489119587","https://openalex.org/W1978104657","https://openalex.org/W1986602910","https://openalex.org/W1988119270","https://openalex.org/W2017932090","https://openalex.org/W2028620341","https://openalex.org/W2035528878","https://openalex.org/W2046882004","https://openalex.org/W2058298473","https://openalex.org/W2075041695","https://openalex.org/W2082432101","https://openalex.org/W2091550641","https://openalex.org/W2095159691","https://openalex.org/W2144045033","https://openalex.org/W2150096732","https://openalex.org/W2339321571","https://openalex.org/W2399209964","https://openalex.org/W2550529331","https://openalex.org/W2565646189","https://openalex.org/W2586188487","https://openalex.org/W2603290257","https://openalex.org/W2792102506","https://openalex.org/W2889401502","https://openalex.org/W2945158069","https://openalex.org/W2946470972","https://openalex.org/W2990344172","https://openalex.org/W2999807928","https://openalex.org/W3083787225","https://openalex.org/W3101458220","https://openalex.org/W3112004685","https://openalex.org/W3181413152","https://openalex.org/W3201494136","https://openalex.org/W4212774775","https://openalex.org/W4288110509"],"related_works":["https://openalex.org/W1521890650","https://openalex.org/W1519721544","https://openalex.org/W2013564586","https://openalex.org/W1490782680","https://openalex.org/W1532406186","https://openalex.org/W2051877214","https://openalex.org/W2327445905","https://openalex.org/W2888670731","https://openalex.org/W3022559759","https://openalex.org/W2110716158"],"abstract_inverted_index":{"Abstract":[0],"Order":[1,13,41],"Picking":[2],"in":[3,130,196],"warehouses":[4,61],"is":[5,53,84,110,123,139,192,206,233],"often":[6,85],"optimized":[7],"using":[8],"a":[9,25,31,35,113,126,165,189],"method":[10],"known":[11],"as":[12],"Batching,":[14],"which":[15,49,191],"means":[16],"that":[17,160,179],"one":[18,47],"vehicle":[19,66],"can":[20],"be":[21],"assigned":[22],"to":[23,70,148,194,209,218],"pick":[24],"batch":[26],"of":[27,38,74,94,136,169,224],"several":[28],"orders":[29],"at":[30,171,188],"time.":[32],"There":[33],"exists":[34],"rich":[36],"body":[37],"research":[39],"on":[40,112,125,152],"Batching":[42],"Problem":[43],"(OBP)":[44],"optimization,":[45],"but":[46,187],"area":[48],"demands":[50],"more":[51],"attention":[52],"computational":[54,77,101],"efficiency,":[55],"especially":[56],"for":[57,79,99],"optimization":[58],"scenarios":[59],"where":[60],"have":[62],"unconventional":[63],"layouts":[64],"and":[65,116,132,134,141,204,214],"capacity":[67],"configurations.":[68],"Due":[69],"the":[71,75,92,117,150,184,210,215,225],"NP-hard":[72],"nature":[73],"OBP,":[76],"cost":[78],"optimally":[80],"solving":[81],"large":[82,211],"instances":[83],"prohibitive.":[86],"In":[87],"this":[88,205],"paper,":[89],"we":[90,158,177],"compare":[91],"performance":[93],"two":[95],"approximate":[96],"optimizers":[97,151,162],"designed":[98],"maximum":[100],"efficiency.":[102],"The":[103,222],"first":[104],"optimizer,":[105],"Single":[106],"Batch":[107,120],"Iterated":[108],"(SBI),":[109],"based":[111,124],"Seed":[114],"Algorithm,":[115],"second,":[118],"Metropolis":[119,127],"Sampling":[121],"(MBS),":[122],"algorithm.":[128],"Trade-offs":[129],"memory":[131],"CPU-usage":[133],"generalizability":[135],"both":[137,161],"algorithms":[138],"analyzed":[140],"discussed.":[142,234],"Existing":[143],"benchmark":[144],"datasets":[145],"are":[146],"used":[147],"evaluate":[149],"various":[153],"scenarios.":[154,199],"On":[155],"smaller":[156],"instances,":[157,176],"find":[159,178],"come":[163],"within":[164,227],"few":[166],"percentage":[167],"points":[168],"optimality":[170],"minimal":[172],"CPU-time.":[173],"For":[174],"larger":[175],"solution":[180],"improvement":[181],"continues":[182],"throughout":[183],"allotted":[185],"time":[186],"rate":[190],"difficult":[193],"justify":[195],"many":[197],"operational":[198],"SBI":[200],"generally":[201],"outperforms":[202],"MBS":[203],"mainly":[207],"attributed":[208],"search":[212],"space":[213],"latter\u2019s":[216],"failure":[217],"efficiently":[219],"cover":[220],"it.":[221],"relevance":[223],"results":[226],"Industry":[228],"4.0":[229],"era":[230],"warehouse":[231],"operations":[232]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}