{"id":"https://openalex.org/W4320081374","doi":"https://doi.org/10.37190/ord220403","title":"A linearisation approach to solving a non-linear shelf space allocation problem with multi-oriented capping in retail store and distribution centre","display_name":"A linearisation approach to solving a non-linear shelf space allocation problem with multi-oriented capping in retail store and distribution centre","publication_year":2022,"publication_date":"2022-01-01","ids":{"openalex":"https://openalex.org/W4320081374","doi":"https://doi.org/10.37190/ord220403"},"language":"en","primary_location":{"id":"doi:10.37190/ord220403","is_oa":true,"landing_page_url":"http://doi.org/10.37190/ord220403","pdf_url":"https://doi.org/10.37190/ord220403","source":{"id":"https://openalex.org/S2739399646","display_name":"Badania Operacyjne i Decyzje/Operations Research and Decisions","issn_l":"1230-1868","issn":["1230-1868","2081-8858","2391-6060"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317492","host_organization_name":"Wroc\u0142aw University of Science and Technology","host_organization_lineage":["https://openalex.org/P4310317492"],"host_organization_lineage_names":["Wroc\u0142aw University of Science and Technology"],"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":"Operations Research and Decisions","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://doi.org/10.37190/ord220403","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5043617863","display_name":"Kateryna Czerniachowska","orcid":"https://orcid.org/0000-0002-1808-6020"},"institutions":[{"id":"https://openalex.org/I305801656","display_name":"Wroclaw University of Economics and Business","ror":"https://ror.org/013sm1c65","country_code":"PL","type":"education","lineage":["https://openalex.org/I305801656"]},{"id":"https://openalex.org/I4210155415","display_name":"University of Business in Wroc\u0142aw","ror":"https://ror.org/04qxzae03","country_code":"PL","type":"education","lineage":["https://openalex.org/I4210155415"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"Kateryna Czerniachowska","raw_affiliation_strings":["Department of Process Management, Wroclaw University of Economics and Business, Wrocaw, Poland","Department of Process Management, Wroclaw University of Economics and Business, Wroc\u0142aw, Poland"],"affiliations":[{"raw_affiliation_string":"Department of Process Management, Wroclaw University of Economics and Business, Wrocaw, Poland","institution_ids":["https://openalex.org/I305801656","https://openalex.org/I4210155415"]},{"raw_affiliation_string":"Department of Process Management, Wroclaw University of Economics and Business, Wroc\u0142aw, Poland","institution_ids":["https://openalex.org/I305801656"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5049086555","display_name":"Marcin Hernes","orcid":"https://orcid.org/0000-0002-3832-8154"},"institutions":[{"id":"https://openalex.org/I4210155415","display_name":"University of Business in Wroc\u0142aw","ror":"https://ror.org/04qxzae03","country_code":"PL","type":"education","lineage":["https://openalex.org/I4210155415"]},{"id":"https://openalex.org/I305801656","display_name":"Wroclaw University of Economics and Business","ror":"https://ror.org/013sm1c65","country_code":"PL","type":"education","lineage":["https://openalex.org/I305801656"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Marcin Hernes","raw_affiliation_strings":["Department of Process Management, Wroclaw University of Economics and Business, Wrocaw, Poland","Department of Process Management, Wroclaw University of Economics and Business, Wroc\u0142aw, Poland"],"affiliations":[{"raw_affiliation_string":"Department of Process Management, Wroclaw University of Economics and Business, Wrocaw, Poland","institution_ids":["https://openalex.org/I305801656","https://openalex.org/I4210155415"]},{"raw_affiliation_string":"Department of Process Management, Wroclaw University of Economics and Business, Wroc\u0142aw, Poland","institution_ids":["https://openalex.org/I305801656"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5014636964","display_name":"Krzysztof Lutos\u0142awski","orcid":"https://orcid.org/0000-0002-2978-1184"},"institutions":[{"id":"https://openalex.org/I305801656","display_name":"Wroclaw University of Economics and Business","ror":"https://ror.org/013sm1c65","country_code":"PL","type":"education","lineage":["https://openalex.org/I305801656"]},{"id":"https://openalex.org/I4210155415","display_name":"University of Business in Wroc\u0142aw","ror":"https://ror.org/04qxzae03","country_code":"PL","type":"education","lineage":["https://openalex.org/I4210155415"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Krzysztof Lutos\u0142awski","raw_affiliation_strings":["Department of Process Management, Wroclaw University of Economics and Business, Wrocaw, Poland","Department of Process Management, Wroclaw University of Economics and Business, Wroc\u0142aw, Poland"],"affiliations":[{"raw_affiliation_string":"Department of Process Management, Wroclaw University of Economics and Business, Wrocaw, Poland","institution_ids":["https://openalex.org/I305801656","https://openalex.org/I4210155415"]},{"raw_affiliation_string":"Department of Process Management, Wroclaw University of Economics and Business, Wroc\u0142aw, Poland","institution_ids":["https://openalex.org/I305801656"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5043617863"],"corresponding_institution_ids":["https://openalex.org/I305801656","https://openalex.org/I4210155415"],"apc_list":null,"apc_paid":null,"fwci":0.1356,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.57331979,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"32","issue":"4","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":0.9994999766349792,"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":0.9994999766349792,"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":0.9970999956130981,"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/T10551","display_name":"Scheduling and Optimization Algorithms","score":0.9559000134468079,"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/rack","display_name":"Rack","score":0.8204649686813354},{"id":"https://openalex.org/keywords/distribution","display_name":"Distribution (mathematics)","score":0.6426149606704712},{"id":"https://openalex.org/keywords/product","display_name":"Product (mathematics)","score":0.6204857230186462},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.5918923616409302},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5902453660964966},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5720904469490051},{"id":"https://openalex.org/keywords/operations-research","display_name":"Operations research","score":0.5428933501243591},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.525956392288208},{"id":"https://openalex.org/keywords/quality","display_name":"Quality (philosophy)","score":0.5144715309143066},{"id":"https://openalex.org/keywords/uniform-distribution","display_name":"Uniform distribution (continuous)","score":0.46919628977775574},{"id":"https://openalex.org/keywords/off-the-shelf","display_name":"Off the shelf","score":0.42717409133911133},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.41174525022506714},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.23054906725883484},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.13953933119773865},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.12639114260673523},{"id":"https://openalex.org/keywords/business","display_name":"Business","score":0.12204092741012573},{"id":"https://openalex.org/keywords/mechanical-engineering","display_name":"Mechanical engineering","score":0.09980949759483337},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.0714116096496582}],"concepts":[{"id":"https://openalex.org/C2776843527","wikidata":"https://www.wikidata.org/wiki/Q1351382","display_name":"Rack","level":2,"score":0.8204649686813354},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.6426149606704712},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.6204857230186462},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.5918923616409302},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5902453660964966},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5720904469490051},{"id":"https://openalex.org/C42475967","wikidata":"https://www.wikidata.org/wiki/Q194292","display_name":"Operations research","level":1,"score":0.5428933501243591},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.525956392288208},{"id":"https://openalex.org/C2779530757","wikidata":"https://www.wikidata.org/wiki/Q1207505","display_name":"Quality (philosophy)","level":2,"score":0.5144715309143066},{"id":"https://openalex.org/C108882938","wikidata":"https://www.wikidata.org/wiki/Q274506","display_name":"Uniform distribution (continuous)","level":2,"score":0.46919628977775574},{"id":"https://openalex.org/C2982819384","wikidata":"https://www.wikidata.org/wiki/Q7078910","display_name":"Off the shelf","level":2,"score":0.42717409133911133},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.41174525022506714},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.23054906725883484},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.13953933119773865},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.12639114260673523},{"id":"https://openalex.org/C144133560","wikidata":"https://www.wikidata.org/wiki/Q4830453","display_name":"Business","level":0,"score":0.12204092741012573},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.09980949759483337},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0714116096496582},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C115903868","wikidata":"https://www.wikidata.org/wiki/Q80993","display_name":"Software engineering","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.37190/ord220403","is_oa":true,"landing_page_url":"http://doi.org/10.37190/ord220403","pdf_url":"https://doi.org/10.37190/ord220403","source":{"id":"https://openalex.org/S2739399646","display_name":"Badania Operacyjne i Decyzje/Operations Research and Decisions","issn_l":"1230-1868","issn":["1230-1868","2081-8858","2391-6060"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317492","host_organization_name":"Wroc\u0142aw University of Science and Technology","host_organization_lineage":["https://openalex.org/P4310317492"],"host_organization_lineage_names":["Wroc\u0142aw University of Science and Technology"],"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":"Operations Research and Decisions","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:wut:journl:v:32:y:2022:i:4:p:33-56:id:3","is_oa":false,"landing_page_url":null,"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"},{"id":"pmh:oai:doaj.org/article:91753eb4549f431c850ba7bc0230a676","is_oa":true,"landing_page_url":"https://doaj.org/article/91753eb4549f431c850ba7bc0230a676","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Operations Research and Decisions, Vol vol. 32, Iss no. 4, Pp 33-56 (2022)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.37190/ord220403","is_oa":true,"landing_page_url":"http://doi.org/10.37190/ord220403","pdf_url":"https://doi.org/10.37190/ord220403","source":{"id":"https://openalex.org/S2739399646","display_name":"Badania Operacyjne i Decyzje/Operations Research and Decisions","issn_l":"1230-1868","issn":["1230-1868","2081-8858","2391-6060"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317492","host_organization_name":"Wroc\u0142aw University of Science and Technology","host_organization_lineage":["https://openalex.org/P4310317492"],"host_organization_lineage_names":["Wroc\u0142aw University of Science and Technology"],"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":"Operations Research and Decisions","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/8","score":0.6000000238418579,"display_name":"Decent work and economic growth"}],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4320081374.pdf","grobid_xml":"https://content.openalex.org/works/W4320081374.grobid-xml"},"referenced_works_count":55,"referenced_works":["https://openalex.org/W142469619","https://openalex.org/W588467254","https://openalex.org/W595785050","https://openalex.org/W1968392669","https://openalex.org/W1970124755","https://openalex.org/W1972291538","https://openalex.org/W1981771644","https://openalex.org/W2008228797","https://openalex.org/W2008502375","https://openalex.org/W2017532003","https://openalex.org/W2027520034","https://openalex.org/W2035449773","https://openalex.org/W2048111145","https://openalex.org/W2056802862","https://openalex.org/W2061925581","https://openalex.org/W2062566421","https://openalex.org/W2086437878","https://openalex.org/W2087619065","https://openalex.org/W2098887166","https://openalex.org/W2112373038","https://openalex.org/W2114665187","https://openalex.org/W2142714339","https://openalex.org/W2238166365","https://openalex.org/W2276677420","https://openalex.org/W2486348843","https://openalex.org/W2584446302","https://openalex.org/W2724597100","https://openalex.org/W2756324418","https://openalex.org/W2774247351","https://openalex.org/W2775366043","https://openalex.org/W2796088329","https://openalex.org/W2808256502","https://openalex.org/W2885000582","https://openalex.org/W2891025896","https://openalex.org/W2911775872","https://openalex.org/W2969789248","https://openalex.org/W2973046464","https://openalex.org/W2981432975","https://openalex.org/W2984172830","https://openalex.org/W2989639297","https://openalex.org/W2990344172","https://openalex.org/W3035800731","https://openalex.org/W3096820344","https://openalex.org/W3121999715","https://openalex.org/W3131270723","https://openalex.org/W3175341723","https://openalex.org/W3181285299","https://openalex.org/W3195714519","https://openalex.org/W4200104607","https://openalex.org/W4205530313","https://openalex.org/W4206262260","https://openalex.org/W4233252652","https://openalex.org/W4241221395","https://openalex.org/W4243149227","https://openalex.org/W4248841288"],"related_works":["https://openalex.org/W2377223570","https://openalex.org/W2360126784","https://openalex.org/W2358514374","https://openalex.org/W2357743194","https://openalex.org/W3149027463","https://openalex.org/W2033820166","https://openalex.org/W2958580061","https://openalex.org/W2354821064","https://openalex.org/W4391263626","https://openalex.org/W3016750421"],"abstract_inverted_index":{"Shelf":[0],"space":[1,33],"is":[2,13,75],"one":[3],"of":[4,19,31,58,70,96,119,135],"the":[5,14,20,29,51,71,86,90,94,98,117,133,136],"essential":[6],"resources":[7],"in":[8,23,37],"logistic":[9],"decisions.":[10],"Order":[11],"picking":[12],"most":[15],"time-consuming":[16],"and":[17,41,124],"labour-intensive":[18],"distribution":[21,24,39,52],"processes":[22],"centres.":[25],"Current":[26],"research":[27],"investigates":[28],"allocation":[30,73],"shelf":[32,59],"on":[34,85],"a":[35,38,42,55,68],"rack":[36,72],"centre":[40],"retail":[43,46],"store.":[44],"The":[45,113,127],"store,":[47],"as":[48,50,67],"well":[49],"centre,":[53],"offers":[54],"large":[56],"number":[57],"storage":[60],"locations.":[61],"In":[62],"this":[63],"research,":[64],"multi-orientated":[65],"capping":[66,101],"product":[69,80],"method":[74],"investigated.":[76],"Capping":[77],"allows":[78],"additional":[79],"items":[81],"to":[82],"be":[83,103,111],"placed":[84],"rack.":[87],"We":[88],"show":[89],"linearisation":[91],"technique":[92,129],"with":[93,100],"help":[95],"which":[97],"models":[99],"could":[102,110],"linearised":[104],"and,":[105],"therefore,":[106],"an":[107],"optimal":[108],"solution":[109],"obtained.":[112],"computational":[114],"experiments":[115],"compare":[116],"quality":[118],"results":[120],"obtained":[121],"by":[122],"non-linear":[123,138],"linear":[125],"models.":[126],"proposed":[128],"does":[130],"not":[131],"increase":[132],"complexity":[134],"initial":[137],"problem.":[139]},"counts_by_year":[{"year":2024,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
