{"id":"https://openalex.org/W4415221156","doi":"https://doi.org/10.1287/msom.2024.1396","title":"A Unified Framework to Impose Market Share Constraints for Selected Product Classes: Randomized and Deterministic Assortments Under the Multinomial Logit Model","display_name":"A Unified Framework to Impose Market Share Constraints for Selected Product Classes: Randomized and Deterministic Assortments Under the Multinomial Logit Model","publication_year":2025,"publication_date":"2025-10-15","ids":{"openalex":"https://openalex.org/W4415221156","doi":"https://doi.org/10.1287/msom.2024.1396"},"language":"en","primary_location":{"id":"doi:10.1287/msom.2024.1396","is_oa":false,"landing_page_url":"https://doi.org/10.1287/msom.2024.1396","pdf_url":null,"source":{"id":"https://openalex.org/S81410195","display_name":"Manufacturing & Service Operations Management","issn_l":"1523-4614","issn":["1523-4614","1526-5489","1526-5498"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315699","host_organization_name":"Institute for Operations Research and the Management Sciences","host_organization_lineage":["https://openalex.org/P4310315699"],"host_organization_lineage_names":["Institute for Operations Research and the Management Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Manufacturing &amp; Service Operations Management","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5111023424","display_name":"Wenchang Zhu","orcid":"https://orcid.org/0000-0003-0778-9449"},"institutions":[{"id":"https://openalex.org/I205783295","display_name":"Cornell University","ror":"https://ror.org/05bnh6r87","country_code":"US","type":"education","lineage":["https://openalex.org/I205783295"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Wenchang Zhu","raw_affiliation_strings":["School of Operations Research and Information Engineering, Cornell Tech, New York, New York 10044"],"raw_orcid":"https://orcid.org/0000-0003-0778-9449","affiliations":[{"raw_affiliation_string":"School of Operations Research and Information Engineering, Cornell Tech, New York, New York 10044","institution_ids":["https://openalex.org/I205783295"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5041224387","display_name":"Paat Rusmevichientong","orcid":"https://orcid.org/0000-0001-9584-4203"},"institutions":[{"id":"https://openalex.org/I1174212","display_name":"University of Southern California","ror":"https://ror.org/03taz7m60","country_code":"US","type":"education","lineage":["https://openalex.org/I1174212"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Paat Rusmevichientong","raw_affiliation_strings":["Marshall School of Business, University of Southern California, Los Angeles, California 90089"],"raw_orcid":"https://orcid.org/0000-0001-9584-4203","affiliations":[{"raw_affiliation_string":"Marshall School of Business, University of Southern California, Los Angeles, California 90089","institution_ids":["https://openalex.org/I1174212"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5048544465","display_name":"H\u00fcseyin Topalo\u011flu","orcid":"https://orcid.org/0000-0002-3049-6719"},"institutions":[{"id":"https://openalex.org/I205783295","display_name":"Cornell University","ror":"https://ror.org/05bnh6r87","country_code":"US","type":"education","lineage":["https://openalex.org/I205783295"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Huseyin Topaloglu","raw_affiliation_strings":["School of Operations Research and Information Engineering, Cornell Tech, New York, New York 10044"],"raw_orcid":"https://orcid.org/0000-0002-3049-6719","affiliations":[{"raw_affiliation_string":"School of Operations Research and Information Engineering, Cornell Tech, New York, New York 10044","institution_ids":["https://openalex.org/I205783295"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.438,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.87320812,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":97},"biblio":{"volume":"28","issue":"1","first_page":"172","last_page":"192"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10328","display_name":"Supply Chain and Inventory Management","score":0.9995999932289124,"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":0.9995999932289124,"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":0.9911999702453613,"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/T11182","display_name":"Auction Theory and Applications","score":0.9758999943733215,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/market-share","display_name":"Market share","score":0.7452999949455261},{"id":"https://openalex.org/keywords/revenue","display_name":"Revenue","score":0.6259999871253967},{"id":"https://openalex.org/keywords/product","display_name":"Product (mathematics)","score":0.6180999875068665},{"id":"https://openalex.org/keywords/multinomial-logistic-regression","display_name":"Multinomial logistic regression","score":0.6105999946594238},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.48570001125335693},{"id":"https://openalex.org/keywords/new-product-development","display_name":"New product development","score":0.3587000072002411},{"id":"https://openalex.org/keywords/multinomial-distribution","display_name":"Multinomial distribution","score":0.3546000123023987}],"concepts":[{"id":"https://openalex.org/C16051113","wikidata":"https://www.wikidata.org/wiki/Q828814","display_name":"Market share","level":2,"score":0.7452999949455261},{"id":"https://openalex.org/C195487862","wikidata":"https://www.wikidata.org/wiki/Q850210","display_name":"Revenue","level":2,"score":0.6259999871253967},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.6180999875068665},{"id":"https://openalex.org/C117568660","wikidata":"https://www.wikidata.org/wiki/Q1650843","display_name":"Multinomial logistic regression","level":2,"score":0.6105999946594238},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.48570001125335693},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.4050999879837036},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3659000098705292},{"id":"https://openalex.org/C19351080","wikidata":"https://www.wikidata.org/wiki/Q1395034","display_name":"New product development","level":2,"score":0.3587000072002411},{"id":"https://openalex.org/C192065140","wikidata":"https://www.wikidata.org/wiki/Q1147928","display_name":"Multinomial distribution","level":2,"score":0.3546000123023987},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.3513999879360199},{"id":"https://openalex.org/C175444787","wikidata":"https://www.wikidata.org/wiki/Q39072","display_name":"Microeconomics","level":1,"score":0.3490000069141388},{"id":"https://openalex.org/C140331021","wikidata":"https://www.wikidata.org/wiki/Q1868104","display_name":"Logit","level":2,"score":0.3474999964237213},{"id":"https://openalex.org/C128669082","wikidata":"https://www.wikidata.org/wiki/Q583461","display_name":"Randomized algorithm","level":2,"score":0.3400000035762787},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3319999873638153},{"id":"https://openalex.org/C30600047","wikidata":"https://www.wikidata.org/wiki/Q7828141","display_name":"Total revenue","level":3,"score":0.328000009059906},{"id":"https://openalex.org/C2776314989","wikidata":"https://www.wikidata.org/wiki/Q833495","display_name":"Consumer choice","level":2,"score":0.30489999055862427},{"id":"https://openalex.org/C2781386248","wikidata":"https://www.wikidata.org/wiki/Q11898700","display_name":"Revenue management","level":3,"score":0.2883000075817108},{"id":"https://openalex.org/C155108698","wikidata":"https://www.wikidata.org/wiki/Q1231081","display_name":"Randomized experiment","level":2,"score":0.2721000015735626},{"id":"https://openalex.org/C33556415","wikidata":"https://www.wikidata.org/wiki/Q1200129","display_name":"Product differentiation","level":3,"score":0.26840001344680786},{"id":"https://openalex.org/C67741611","wikidata":"https://www.wikidata.org/wiki/Q7247787","display_name":"Product proliferation","level":4,"score":0.2531999945640564}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1287/msom.2024.1396","is_oa":false,"landing_page_url":"https://doi.org/10.1287/msom.2024.1396","pdf_url":null,"source":{"id":"https://openalex.org/S81410195","display_name":"Manufacturing & Service Operations Management","issn_l":"1523-4614","issn":["1523-4614","1526-5489","1526-5498"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315699","host_organization_name":"Institute for Operations Research and the Management Sciences","host_organization_lineage":["https://openalex.org/P4310315699"],"host_organization_lineage_names":["Institute for Operations Research and the Management Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Manufacturing &amp; Service Operations Management","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W2007646804","https://openalex.org/W2067581912","https://openalex.org/W2117923605","https://openalex.org/W2128951681","https://openalex.org/W2144425834","https://openalex.org/W2148648976","https://openalex.org/W2168628822","https://openalex.org/W2771192055","https://openalex.org/W3091802468","https://openalex.org/W3193963178","https://openalex.org/W3207043624","https://openalex.org/W4226539821","https://openalex.org/W4294225671","https://openalex.org/W4386422196"],"related_works":[],"abstract_inverted_index":{"Problem":[0],"definition:":[1],"We":[2,260,278],"study":[3],"assortment":[4,141],"optimization":[5],"problems":[6],"with":[7,19,103,216],"market":[8,21,50,79,130,213,246,297],"share":[9,22,51,80,131,214,247,298],"constraints.":[10,81],"The":[11,68,164,315],"products":[12,41,61,102,117,290],"are":[13,111,187,279],"partitioned":[14],"into":[15],"product":[16,26,55,135,303],"classes,":[17],"each":[18],"a":[20,25,161,178,188,206,217,232,243,262,282,306],"threshold.":[23],"If":[24],"class":[27,45],"is":[28,70,84,167,173,225,254,305,318],"represented":[29,118,137],"in":[30,43,99,113,119,138,221,227,250,256],"the":[31,35,40,44,49,54,64,73,78,87,94,116,129,139,147,152,156,170,194,201,238,257,288,301],"offered":[32,42,60,140,153,289],"assortment,":[33],"then":[34],"total":[36],"purchase":[37],"probability":[38],"of":[39,53,180],"should":[46],"be":[47],"above":[48],"threshold":[52],"class.":[56],"Customers":[57],"choose":[58],"among":[59],"according":[62],"to":[63,71,175,268,309],"multinomial":[65],"logit":[66],"model.":[67],"goal":[69],"maximize":[72],"expected":[74,95],"revenue":[75,96],"while":[76,211],"satisfying":[77,245],"Our":[82,184],"work":[83],"motivated":[85,280],"by":[86,281],"fact":[88],"that":[89,115,204,224,241,253,266],"focusing":[90],"only":[91,133],"on":[92],"maximizing":[93],"often":[97],"results":[98],"offering":[100],"many":[101],"small":[104],"demand":[105,125,294],"quantities,":[106],"causing":[107],"operational":[108],"burden.":[109],"Retailers":[110],"interested":[112],"ensuring":[114],"their":[120],"assortments":[121,286],"command":[122,291],"reasonably":[123,292],"large":[124,293],"quantities.":[126,295],"Methodology/results:":[127],"Imposing":[128,296],"constraints":[132,215,248,299],"for":[134,193,200,237,285,300],"classes":[136,304],"brings":[142],"unique":[143],"unexplored":[144],"dynamics.":[145],"In":[146,155],"randomized":[148,165,195],"variant,":[149,158,196],"we":[150,159],"randomize":[151],"assortments.":[154],"deterministic":[157,171,202,239],"offer":[160],"single":[162],"assortment.":[163],"variant":[166,172,203,240],"NP-hard,":[168],"whereas":[169],"NP-hard":[174],"approximate":[176],"within":[177],"factor":[179],"[Formula:":[181,207,218,228,233],"see":[182,208,219,229,234],"text].":[183],"main":[185],"contributions":[186],"fully":[189],"polynomial-time":[190],"approximation":[191,198,264,274],"scheme":[192,199],"an":[197],"yields":[205,242],"text]-approximate":[209],"solution":[210,244],"violating":[212],"text]-factor":[220],"running":[222,251],"time":[223,252],"polynomial":[226],"text],":[230],"and":[231,271],"text]-approximation":[235],"algorithm":[236],"exactly":[249],"pseudopolynomial":[255],"input":[258],"size.":[259],"develop":[261],"unified":[263],"framework":[265],"applies":[267],"both":[269],"variants":[270],"leverage":[272],"this":[273,311],"framework.":[275],"Managerial":[276],"implications:":[277],"practical":[283],"need":[284],"where":[287],"selected":[302],"natural":[307],"way":[308],"satisfy":[310],"need.":[312],"Supplemental":[313],"Material:":[314],"online":[316],"appendix":[317],"available":[319],"at":[320],"https://doi.org/10.1287/msom.2024.1396":[321],".":[322]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-07-07T14:30:12.667765","created_date":"2025-10-16T00:00:00"}
