{"id":"https://openalex.org/W3175341723","doi":"https://doi.org/10.3390/sym13071182","title":"Simulated Annealing Hyper-Heuristic for a Shelf Space Allocation on Symmetrical Planograms Problem","display_name":"Simulated Annealing Hyper-Heuristic for a Shelf Space Allocation on Symmetrical Planograms Problem","publication_year":2021,"publication_date":"2021-06-30","ids":{"openalex":"https://openalex.org/W3175341723","doi":"https://doi.org/10.3390/sym13071182","mag":"3175341723"},"language":"en","primary_location":{"id":"doi:10.3390/sym13071182","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym13071182","pdf_url":"https://www.mdpi.com/2073-8994/13/7/1182/pdf?version=1625190680","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2073-8994/13/7/1182/pdf?version=1625190680","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"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"Kateryna Czerniachowska","raw_affiliation_strings":["Department of Process Management, Wroclaw University of Economics and Business, Komandorska 118/120, 53-345 Wroclaw, Poland"],"affiliations":[{"raw_affiliation_string":"Department of Process Management, Wroclaw University of Economics and Business, Komandorska 118/120, 53-345 Wroclaw, Poland","institution_ids":["https://openalex.org/I305801656"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5049086555","display_name":"Marcin Hernes","orcid":"https://orcid.org/0000-0002-3832-8154"},"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"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Marcin Hernes","raw_affiliation_strings":["Department of Process Management, Wroclaw University of Economics and Business, Komandorska 118/120, 53-345 Wroclaw, Poland"],"affiliations":[{"raw_affiliation_string":"Department of Process Management, Wroclaw University of Economics and Business, Komandorska 118/120, 53-345 Wroclaw, Poland","institution_ids":["https://openalex.org/I305801656"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5043617863"],"corresponding_institution_ids":["https://openalex.org/I305801656"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":1.9279,"has_fulltext":true,"cited_by_count":14,"citation_normalized_percentile":{"value":0.87019003,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"13","issue":"7","first_page":"1182","last_page":"1182"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11161","display_name":"Consumer Market Behavior and Pricing","score":0.9897000193595886,"subfield":{"id":"https://openalex.org/subfields/1406","display_name":"Marketing"},"field":{"id":"https://openalex.org/fields/14","display_name":"Business, Management and Accounting"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T11161","display_name":"Consumer Market Behavior and Pricing","score":0.9897000193595886,"subfield":{"id":"https://openalex.org/subfields/1406","display_name":"Marketing"},"field":{"id":"https://openalex.org/fields/14","display_name":"Business, Management and Accounting"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11536","display_name":"Consumer Retail Behavior Studies","score":0.988099992275238,"subfield":{"id":"https://openalex.org/subfields/1406","display_name":"Marketing"},"field":{"id":"https://openalex.org/fields/14","display_name":"Business, Management and Accounting"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T12496","display_name":"Color perception and design","score":0.9796000123023987,"subfield":{"id":"https://openalex.org/subfields/3207","display_name":"Social Psychology"},"field":{"id":"https://openalex.org/fields/32","display_name":"Psychology"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.7164157032966614},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6902440786361694},{"id":"https://openalex.org/keywords/simulated-annealing","display_name":"Simulated annealing","score":0.5929849743843079},{"id":"https://openalex.org/keywords/solver","display_name":"Solver","score":0.5675609707832336},{"id":"https://openalex.org/keywords/maximization","display_name":"Maximization","score":0.4862595796585083},{"id":"https://openalex.org/keywords/heuristic","display_name":"Heuristic","score":0.45753198862075806},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2552923560142517},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.20874306559562683}],"concepts":[{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.7164157032966614},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6902440786361694},{"id":"https://openalex.org/C126980161","wikidata":"https://www.wikidata.org/wiki/Q863783","display_name":"Simulated annealing","level":2,"score":0.5929849743843079},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.5675609707832336},{"id":"https://openalex.org/C2776330181","wikidata":"https://www.wikidata.org/wiki/Q18358244","display_name":"Maximization","level":2,"score":0.4862595796585083},{"id":"https://openalex.org/C173801870","wikidata":"https://www.wikidata.org/wiki/Q201413","display_name":"Heuristic","level":2,"score":0.45753198862075806},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2552923560142517},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.20874306559562683}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/sym13071182","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym13071182","pdf_url":"https://www.mdpi.com/2073-8994/13/7/1182/pdf?version=1625190680","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:4df342734d9a447dac539bf10ab53c79","is_oa":true,"landing_page_url":"https://doaj.org/article/4df342734d9a447dac539bf10ab53c79","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-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symmetry, Vol 13, Iss 7, p 1182 (2021)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2073-8994/13/7/1182/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/sym13071182","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"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":"Symmetry","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/sym13071182","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym13071182","pdf_url":"https://www.mdpi.com/2073-8994/13/7/1182/pdf?version=1625190680","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G6361005584","display_name":null,"funder_award_id":"015/RID/2018/19","funder_id":"https://openalex.org/F4320322733","funder_display_name":"Ministerstwo Edukacji i Nauki"}],"funders":[{"id":"https://openalex.org/F4320322733","display_name":"Ministerstwo Edukacji i Nauki","ror":"https://ror.org/05dwvd537"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3175341723.pdf","grobid_xml":"https://content.openalex.org/works/W3175341723.grobid-xml"},"referenced_works_count":43,"referenced_works":["https://openalex.org/W64859905","https://openalex.org/W1947899035","https://openalex.org/W1964223935","https://openalex.org/W1984045820","https://openalex.org/W1988397070","https://openalex.org/W2001662188","https://openalex.org/W2014510096","https://openalex.org/W2014905673","https://openalex.org/W2024060531","https://openalex.org/W2034146670","https://openalex.org/W2034909568","https://openalex.org/W2040049280","https://openalex.org/W2045168835","https://openalex.org/W2056760934","https://openalex.org/W2065940065","https://openalex.org/W2071337734","https://openalex.org/W2073794815","https://openalex.org/W2085308669","https://openalex.org/W2096122157","https://openalex.org/W2112821694","https://openalex.org/W2124197116","https://openalex.org/W2133848898","https://openalex.org/W2139198122","https://openalex.org/W2238166365","https://openalex.org/W2416629574","https://openalex.org/W2484422490","https://openalex.org/W2495610957","https://openalex.org/W2502341801","https://openalex.org/W2568743271","https://openalex.org/W2766277014","https://openalex.org/W3011307077","https://openalex.org/W3035800731","https://openalex.org/W3080585597","https://openalex.org/W3096820344","https://openalex.org/W3123388904","https://openalex.org/W3123763996","https://openalex.org/W3124982112","https://openalex.org/W3131270723","https://openalex.org/W4241221395","https://openalex.org/W4255372328","https://openalex.org/W6646285788","https://openalex.org/W6689681280","https://openalex.org/W6716606799"],"related_works":["https://openalex.org/W2186864281","https://openalex.org/W4255427455","https://openalex.org/W1966025497","https://openalex.org/W68941528","https://openalex.org/W4206451355","https://openalex.org/W8322802","https://openalex.org/W314331466","https://openalex.org/W2049545441","https://openalex.org/W4327850430","https://openalex.org/W2037938733"],"abstract_inverted_index":{"The":[0,67,152,165],"allocation":[1,30,106],"of":[2,13,15,38,43,53,60,76,88,97,116,154],"products":[3,59,70,79],"on":[4,140],"shelves":[5],"is":[6],"an":[7,177],"important":[8],"issue":[9],"from":[10],"the":[11,36,48,51,58,61,74,78,111,132,155,162,170],"point":[12],"view":[14],"effective":[16],"decision":[17],"making":[18],"by":[19],"retailers.":[20],"In":[21],"this":[22],"paper,":[23],"we":[24],"investigate":[25],"a":[26,44,117,121],"practical":[27],"shelf":[28,49,100],"space":[29],"model":[31,112],"which":[32,57],"takes":[33],"into":[34,50,80,90],"account":[35],"number":[37],"facings,":[39],"capping,":[40],"and":[41,127],"nesting":[42],"product.":[45],"We":[46,119],"divide":[47],"segments":[52],"variable":[54],"size":[55],"in":[56,94,110,176],"specific":[62,81],"types":[63,82],"could":[64],"be":[65],"placed.":[66],"interconnections":[68],"between":[69],"are":[71,108,138],"modelled":[72],"with":[73,125],"help":[75],"categorizing":[77],"as":[83,85],"well":[84],"grouping":[86],"some":[87],"them":[89],"clusters.":[91],"This":[92],"results":[93,175],"four":[95],"groups":[96],"constraints\u2014shelf":[98],"constraints,":[99,102,104],"type":[101],"product":[103],"position":[105],"constraints\u2014that":[107],"used":[109],"for":[113],"aesthetic":[114],"symmetry":[115],"planogram.":[118],"propose":[120],"simulated":[122],"annealing":[123],"algorithm":[124,157,172],"improvement":[126],"reallocation":[128],"procedures":[129],"to":[130,149],"solve":[131],"planogram":[133],"profit":[134],"maximization":[135],"problem.":[136],"Experiments":[137],"based":[139],"artificial":[141],"data":[142],"sets":[143],"that":[144,169],"have":[145],"been":[146,159],"generated":[147],"according":[148],"real-world":[150],"conditions.":[151],"efficiency":[153],"designed":[156],"has":[158],"estimated":[160],"using":[161],"CPLEX":[163],"solver.":[164],"computational":[166],"tests":[167],"demonstrate":[168],"proposed":[171],"gives":[173],"valuable":[174],"acceptable":[178],"time.":[179]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}
