{"id":"https://openalex.org/W3131162448","doi":"https://doi.org/10.1007/s43069-021-00056-1","title":"On the Linear Integration of Attraction Choice Models in Business Optimization Problems","display_name":"On the Linear Integration of Attraction Choice Models in Business Optimization Problems","publication_year":2021,"publication_date":"2021-02-20","ids":{"openalex":"https://openalex.org/W3131162448","doi":"https://doi.org/10.1007/s43069-021-00056-1","mag":"3131162448"},"language":"en","primary_location":{"id":"doi:10.1007/s43069-021-00056-1","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s43069-021-00056-1","pdf_url":"https://link.springer.com/content/pdf/10.1007/s43069-021-00056-1.pdf","source":{"id":"https://openalex.org/S4210215153","display_name":"Operations Research Forum","issn_l":"2662-2556","issn":["2662-2556"],"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":"Operations Research Forum","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/s43069-021-00056-1.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5082989341","display_name":"Georg Bechler","orcid":null},"institutions":[{"id":"https://openalex.org/I40527276","display_name":"Universit\u00e4t der Bundeswehr M\u00fcnchen","ror":"https://ror.org/05kkv3f82","country_code":"DE","type":"education","lineage":["https://openalex.org/I1315109972","https://openalex.org/I40527276","https://openalex.org/I4387152969"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Georg Bechler","raw_affiliation_strings":["Chair of Business Analytics and Management Science, Bundeswehr University Munich (UniBw), Werner-Heisenberg-Weg 39, 85577, Neubiberg, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Chair of Business Analytics and Management Science, Bundeswehr University Munich (UniBw), Werner-Heisenberg-Weg 39, 85577, Neubiberg, Germany","institution_ids":["https://openalex.org/I40527276"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5017735041","display_name":"Claudius Steinhardt","orcid":"https://orcid.org/0000-0003-4263-6608"},"institutions":[{"id":"https://openalex.org/I40527276","display_name":"Universit\u00e4t der Bundeswehr M\u00fcnchen","ror":"https://ror.org/05kkv3f82","country_code":"DE","type":"education","lineage":["https://openalex.org/I1315109972","https://openalex.org/I40527276","https://openalex.org/I4387152969"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Claudius Steinhardt","raw_affiliation_strings":["Chair of Business Analytics and Management Science, Bundeswehr University Munich (UniBw), Werner-Heisenberg-Weg 39, 85577, Neubiberg, Germany"],"raw_orcid":"https://orcid.org/0000-0003-4263-6608","affiliations":[{"raw_affiliation_string":"Chair of Business Analytics and Management Science, Bundeswehr University Munich (UniBw), Werner-Heisenberg-Weg 39, 85577, Neubiberg, Germany","institution_ids":["https://openalex.org/I40527276"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5078024347","display_name":"Jochen Mackert","orcid":null},"institutions":[{"id":"https://openalex.org/I179225836","display_name":"University of Augsburg","ror":"https://ror.org/03p14d497","country_code":"DE","type":"education","lineage":["https://openalex.org/I179225836"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Jochen Mackert","raw_affiliation_strings":["Chair of Analytics & Optimization, University of Augsburg, Universit\u00e4tsstra\u00dfe 16, 86159, Augsburg, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Chair of Analytics & Optimization, University of Augsburg, Universit\u00e4tsstra\u00dfe 16, 86159, Augsburg, Germany","institution_ids":["https://openalex.org/I179225836"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5017735041"],"corresponding_institution_ids":["https://openalex.org/I40527276"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2780},"apc_paid":{"value":2190,"currency":"EUR","value_usd":2780},"fwci":1.3123,"has_fulltext":true,"cited_by_count":7,"citation_normalized_percentile":{"value":0.8263867,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"2","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10328","display_name":"Supply Chain and Inventory Management","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/1404","display_name":"Management Information Systems"},"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/T10328","display_name":"Supply Chain and Inventory Management","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/1404","display_name":"Management Information Systems"},"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/T11161","display_name":"Consumer Market Behavior and Pricing","score":0.9979000091552734,"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/T10841","display_name":"Economic and Environmental Valuation","score":0.991100013256073,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/linearization","display_name":"Linearization","score":0.7049702405929565},{"id":"https://openalex.org/keywords/multinomial-logistic-regression","display_name":"Multinomial logistic regression","score":0.6217156052589417},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.564264714717865},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5355451107025146},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.5269321203231812},{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.507632851600647},{"id":"https://openalex.org/keywords/attraction","display_name":"Attraction","score":0.49811792373657227},{"id":"https://openalex.org/keywords/selection","display_name":"Selection (genetic algorithm)","score":0.49368080496788025},{"id":"https://openalex.org/keywords/discrete-choice","display_name":"Discrete choice","score":0.48992007970809937},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.34758490324020386},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2953382730484009},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.21948286890983582},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.20228078961372375},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.15209543704986572}],"concepts":[{"id":"https://openalex.org/C11210021","wikidata":"https://www.wikidata.org/wiki/Q1520713","display_name":"Linearization","level":3,"score":0.7049702405929565},{"id":"https://openalex.org/C117568660","wikidata":"https://www.wikidata.org/wiki/Q1650843","display_name":"Multinomial logistic regression","level":2,"score":0.6217156052589417},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.564264714717865},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5355451107025146},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.5269321203231812},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.507632851600647},{"id":"https://openalex.org/C2778364177","wikidata":"https://www.wikidata.org/wiki/Q2247133","display_name":"Attraction","level":2,"score":0.49811792373657227},{"id":"https://openalex.org/C81917197","wikidata":"https://www.wikidata.org/wiki/Q628760","display_name":"Selection (genetic algorithm)","level":2,"score":0.49368080496788025},{"id":"https://openalex.org/C190669063","wikidata":"https://www.wikidata.org/wiki/Q5282043","display_name":"Discrete choice","level":2,"score":0.48992007970809937},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.34758490324020386},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2953382730484009},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.21948286890983582},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.20228078961372375},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.15209543704986572},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/s43069-021-00056-1","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s43069-021-00056-1","pdf_url":"https://link.springer.com/content/pdf/10.1007/s43069-021-00056-1.pdf","source":{"id":"https://openalex.org/S4210215153","display_name":"Operations Research Forum","issn_l":"2662-2556","issn":["2662-2556"],"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":"Operations Research Forum","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:spr:snopef:v:2:y:2021:i:1:d:10.1007_s43069-021-00056-1","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s43069-021-00056-1","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:econstor.eu:10419/287692","is_oa":true,"landing_page_url":"https://hdl.handle.net/10419/287692","pdf_url":null,"source":{"id":"https://openalex.org/S4306401696","display_name":"Econstor (Econstor)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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":"","raw_type":"doc-type:article"},{"id":"pmh:oai:uni-augsburg.opus-bayern.de:86848","is_oa":true,"landing_page_url":"https://nbn-resolving.org/urn:nbn:de:bvb:384-opus4-868483","pdf_url":null,"source":{"id":"https://openalex.org/S4306400930","display_name":"OPUS (Augsburg University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I119916105","host_organization_name":"Augsburg University","host_organization_lineage":["https://openalex.org/I119916105"],"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":"","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1007/s43069-021-00056-1","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s43069-021-00056-1","pdf_url":"https://link.springer.com/content/pdf/10.1007/s43069-021-00056-1.pdf","source":{"id":"https://openalex.org/S4210215153","display_name":"Operations Research Forum","issn_l":"2662-2556","issn":["2662-2556"],"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":"Operations Research Forum","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.41999998688697815,"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3131162448.pdf","grobid_xml":"https://content.openalex.org/works/W3131162448.grobid-xml"},"referenced_works_count":27,"referenced_works":["https://openalex.org/W853679117","https://openalex.org/W1970819311","https://openalex.org/W1981915376","https://openalex.org/W1983421222","https://openalex.org/W2011182425","https://openalex.org/W2034504820","https://openalex.org/W2042141923","https://openalex.org/W2050043342","https://openalex.org/W2050653174","https://openalex.org/W2053459917","https://openalex.org/W2067581912","https://openalex.org/W2128668628","https://openalex.org/W2144425834","https://openalex.org/W2152081677","https://openalex.org/W2156577211","https://openalex.org/W2174936192","https://openalex.org/W2211783957","https://openalex.org/W2759930078","https://openalex.org/W2763110165","https://openalex.org/W2999769590","https://openalex.org/W3003252051","https://openalex.org/W3015812362","https://openalex.org/W3037289629","https://openalex.org/W3107284435","https://openalex.org/W3122059187","https://openalex.org/W4244594234","https://openalex.org/W4253679144"],"related_works":["https://openalex.org/W1600556093","https://openalex.org/W3143873299","https://openalex.org/W1561002350","https://openalex.org/W3097028628","https://openalex.org/W2349244999","https://openalex.org/W4385351990","https://openalex.org/W1994479053","https://openalex.org/W4320082066","https://openalex.org/W633229136","https://openalex.org/W2074948550"],"abstract_inverted_index":{"Abstract":[0],"Decision":[1],"problems":[2,75],"from":[3,103],"various":[4],"fields":[5,108],"(e.g.,":[6],"assortment":[7],"optimization,":[8],"product":[9],"line":[10],"selection,":[11],"location":[12],"planning)":[13],"require":[14],"to":[15,39,123,153,183,192,218],"endogenously":[16],"incorporate":[17],"probabilistic":[18],"choice":[19,28,46,203],"behavior":[20],"in":[21,35,73,77,81,106,169,205],"dependence":[22],"of":[23,26,58,109,138,155,201,212,226,243,258],"the":[24,44,51,112,139,166,194,213,229,244],"availability":[25],"given":[27],"alternatives.":[29],"A":[30],"widely":[31],"spread":[32],"demand":[33],"model":[34,55,65,178,204],"marketing":[36],"and":[37,98,119],"econometrics":[38],"represent":[40],"such":[41,71,259],"choices":[42],"is":[43,222],"attraction":[45,202],"model.":[47],"Of":[48],"this":[49,127,132],"model,":[50],"well-known":[52],"multinomial":[53],"logit":[54,64],"and\u2014in":[56],"case":[57,225],"multiple":[59],"latent":[60],"customer":[61],"segments\u2014the":[62],"finite-mixture":[63],"are":[66,93,181,190],"special":[67,224],"cases.":[68],"However,":[69],"integrating":[70],"models":[72],"optimization":[74],"results":[76],"non-linear":[78],"formulations.":[79,232],"Thus,":[80,111],"recent":[82],"years,":[83],"several":[84],"exact":[85],"linearization":[86,158,246],"approaches":[87,92,117],"have":[88,100],"been":[89],"proposed.":[90],"These":[91],"based":[94],"on":[95],"different":[96,107,146],"ideas,":[97],"they":[99,121,143],"appeared":[101],"independently":[102],"each":[104,124,210],"other":[105],"research.":[110],"question":[113,133],"arises":[114],"how":[115,120],"these":[116],"differ":[118],"relate":[122],"other.":[125],"In":[126,207],"short":[128],"communication,":[129],"we":[130,164,189,216],"settle":[131],"by":[134,173],"arguing":[135],"that":[136,180],"many":[137],"proposed":[140],"approaches\u2014even":[141],"though":[142],"might":[144],"seem":[145],"at":[147],"first":[148],"glance\u2014can":[149],"be":[150,184,248],"traced":[151],"back":[152],"one":[154],"two":[156,167,175],"underlying":[157],"ideas.":[159],"Establishing":[160],"a":[161,170,223],"generic":[162,231,245],"problem,":[163],"discuss":[165],"ideas":[168],"unified":[171],"way":[172],"presenting":[174],"corresponding":[176],"general":[177],"formulations":[179],"shown":[182],"equivalent.":[185],"Based":[186],"upon":[187],"this,":[188],"able":[191],"classify":[193],"major":[195],"publications":[196],"which":[197,219,238],"integrate":[198],"some":[199],"type":[200],"detail.":[206],"particular,":[208],"for":[209,255],"formulation":[211],"analyzed":[214],"literature,":[215],"explain":[217],"extent":[220],"it":[221],"(one":[227],"of)":[228],"presented":[230],"This":[233],"also":[234],"makes":[235],"clear":[236],"under":[237],"context-specific":[239],"conditions":[240],"certain":[241],"elements":[242],"can":[247],"omitted,":[249],"potentially":[250],"serving":[251],"as":[252],"helpful":[253],"guideline":[254],"future":[256],"applications":[257],"linearizations.":[260]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1}],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2025-10-10T00:00:00"}
