{"id":"https://openalex.org/W2617865210","doi":"https://doi.org/10.4018/ijal.2017010104","title":"A Multi-Objective and Multi-Product Advertising Billboard Location Model with Attraction Factor Mathematical Modeling and Solutions","display_name":"A Multi-Objective and Multi-Product Advertising Billboard Location Model with Attraction Factor Mathematical Modeling and Solutions","publication_year":2017,"publication_date":"2017-01-01","ids":{"openalex":"https://openalex.org/W2617865210","doi":"https://doi.org/10.4018/ijal.2017010104","mag":"2617865210"},"language":"en","primary_location":{"id":"doi:10.4018/ijal.2017010104","is_oa":false,"landing_page_url":"https://doi.org/10.4018/ijal.2017010104","pdf_url":null,"source":{"id":"https://openalex.org/S28477642","display_name":"International Journal of Applied Logistics","issn_l":"1947-9573","issn":["1947-9573","1947-9581"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320424","host_organization_name":"IGI Global","host_organization_lineage":["https://openalex.org/P4310320424"],"host_organization_lineage_names":["IGI Global"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Applied Logistics","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/A5029686732","display_name":"Reza Lotfi","orcid":"https://orcid.org/0000-0001-5868-8467"},"institutions":[{"id":"https://openalex.org/I112536369","display_name":"Yazd University","ror":"https://ror.org/02x99ac45","country_code":"IR","type":"education","lineage":["https://openalex.org/I112536369"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Reza Lotfi","raw_affiliation_strings":["Department of Industrial Engineering, Yazd University, Yazd, Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Industrial Engineering, Yazd University, Yazd, Iran","institution_ids":["https://openalex.org/I112536369"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5109220002","display_name":"Yahia Zare Mehrjerdi","orcid":null},"institutions":[{"id":"https://openalex.org/I112536369","display_name":"Yazd University","ror":"https://ror.org/02x99ac45","country_code":"IR","type":"education","lineage":["https://openalex.org/I112536369"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Yahia Zare Mehrjerdi","raw_affiliation_strings":["Department of Industrial Engineering, Yazd University, Yazd, Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Industrial Engineering, Yazd University, Yazd, Iran","institution_ids":["https://openalex.org/I112536369"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5087672160","display_name":"Nooshin Mardani","orcid":null},"institutions":[{"id":"https://openalex.org/I4210165322","display_name":"Takestan Islamic Azad University","ror":"https://ror.org/05mtgrz63","country_code":"IR","type":"education","lineage":["https://openalex.org/I110525433","https://openalex.org/I4210165322"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Nooshin Mardani","raw_affiliation_strings":["Islamic Azad University Takestan, Tehran, Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Islamic Azad University Takestan, Tehran, Iran","institution_ids":["https://openalex.org/I4210165322"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.6511,"has_fulltext":false,"cited_by_count":44,"citation_normalized_percentile":{"value":0.83578147,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"7","issue":"1","first_page":"64","last_page":"86"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12306","display_name":"Urban and Freight Transport Logistics","score":0.9916999936103821,"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"}},"topics":[{"id":"https://openalex.org/T12306","display_name":"Urban and Freight Transport Logistics","score":0.9916999936103821,"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"}},{"id":"https://openalex.org/T10567","display_name":"Vehicle Routing Optimization Methods","score":0.9830999970436096,"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/T11942","display_name":"Transportation and Mobility Innovations","score":0.9824000000953674,"subfield":{"id":"https://openalex.org/subfields/2203","display_name":"Automotive 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/profitability-index","display_name":"Profitability index","score":0.7573634386062622},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6423649787902832},{"id":"https://openalex.org/keywords/solver","display_name":"Solver","score":0.6368483901023865},{"id":"https://openalex.org/keywords/maximization","display_name":"Maximization","score":0.6037155389785767},{"id":"https://openalex.org/keywords/installation","display_name":"Installation","score":0.5726203322410583},{"id":"https://openalex.org/keywords/attraction","display_name":"Attraction","score":0.523200273513794},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.465410977602005},{"id":"https://openalex.org/keywords/software","display_name":"Software","score":0.465128630399704},{"id":"https://openalex.org/keywords/profit","display_name":"Profit (economics)","score":0.4420171082019806},{"id":"https://openalex.org/keywords/product","display_name":"Product (mathematics)","score":0.4396442174911499},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.4266428053379059},{"id":"https://openalex.org/keywords/factor","display_name":"Factor (programming language)","score":0.41720888018608093},{"id":"https://openalex.org/keywords/scale","display_name":"Scale (ratio)","score":0.4129006862640381},{"id":"https://openalex.org/keywords/industrial-engineering","display_name":"Industrial engineering","score":0.3428329825401306},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.18396255373954773},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.1765422224998474},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.1468336582183838},{"id":"https://openalex.org/keywords/microeconomics","display_name":"Microeconomics","score":0.08977100253105164}],"concepts":[{"id":"https://openalex.org/C129361004","wikidata":"https://www.wikidata.org/wiki/Q2470236","display_name":"Profitability index","level":2,"score":0.7573634386062622},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6423649787902832},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.6368483901023865},{"id":"https://openalex.org/C2776330181","wikidata":"https://www.wikidata.org/wiki/Q18358244","display_name":"Maximization","level":2,"score":0.6037155389785767},{"id":"https://openalex.org/C146778888","wikidata":"https://www.wikidata.org/wiki/Q836862","display_name":"Installation","level":2,"score":0.5726203322410583},{"id":"https://openalex.org/C2778364177","wikidata":"https://www.wikidata.org/wiki/Q2247133","display_name":"Attraction","level":2,"score":0.523200273513794},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.465410977602005},{"id":"https://openalex.org/C2777904410","wikidata":"https://www.wikidata.org/wiki/Q7397","display_name":"Software","level":2,"score":0.465128630399704},{"id":"https://openalex.org/C181622380","wikidata":"https://www.wikidata.org/wiki/Q26911","display_name":"Profit (economics)","level":2,"score":0.4420171082019806},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.4396442174911499},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.4266428053379059},{"id":"https://openalex.org/C2781039887","wikidata":"https://www.wikidata.org/wiki/Q1391724","display_name":"Factor (programming language)","level":2,"score":0.41720888018608093},{"id":"https://openalex.org/C2778755073","wikidata":"https://www.wikidata.org/wiki/Q10858537","display_name":"Scale (ratio)","level":2,"score":0.4129006862640381},{"id":"https://openalex.org/C13736549","wikidata":"https://www.wikidata.org/wiki/Q4489420","display_name":"Industrial engineering","level":1,"score":0.3428329825401306},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.18396255373954773},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.1765422224998474},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.1468336582183838},{"id":"https://openalex.org/C175444787","wikidata":"https://www.wikidata.org/wiki/Q39072","display_name":"Microeconomics","level":1,"score":0.08977100253105164},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","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/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.4018/ijal.2017010104","is_oa":false,"landing_page_url":"https://doi.org/10.4018/ijal.2017010104","pdf_url":null,"source":{"id":"https://openalex.org/S28477642","display_name":"International Journal of Applied Logistics","issn_l":"1947-9573","issn":["1947-9573","1947-9581"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320424","host_organization_name":"IGI Global","host_organization_lineage":["https://openalex.org/P4310320424"],"host_organization_lineage_names":["IGI Global"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Applied Logistics","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:igg:jal000:v:7:y:2017:i:1:p:64-86","is_oa":false,"landing_page_url":"http://services.igi-global.com/resolvedoi/resolve.aspx?doi=10.4018/IJAL.2017010104","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"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Industry, innovation and infrastructure","score":0.44999998807907104,"id":"https://metadata.un.org/sdg/9"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":38,"referenced_works":["https://openalex.org/W166348299","https://openalex.org/W1511855562","https://openalex.org/W1530060720","https://openalex.org/W1592859723","https://openalex.org/W1659842140","https://openalex.org/W1948353858","https://openalex.org/W1971901162","https://openalex.org/W1973156346","https://openalex.org/W1978443146","https://openalex.org/W1997162995","https://openalex.org/W2022365973","https://openalex.org/W2022532912","https://openalex.org/W2042570611","https://openalex.org/W2050650520","https://openalex.org/W2060596950","https://openalex.org/W2065236890","https://openalex.org/W2072012497","https://openalex.org/W2076884803","https://openalex.org/W2078619461","https://openalex.org/W2083449112","https://openalex.org/W2091364465","https://openalex.org/W2092522501","https://openalex.org/W2093244236","https://openalex.org/W2100938043","https://openalex.org/W2105098038","https://openalex.org/W2119752445","https://openalex.org/W2158318958","https://openalex.org/W2165383819","https://openalex.org/W2206544452","https://openalex.org/W2256224365","https://openalex.org/W2401610261","https://openalex.org/W2413161265","https://openalex.org/W2481483404","https://openalex.org/W2717232360","https://openalex.org/W2792279433","https://openalex.org/W2904250082","https://openalex.org/W4240374930","https://openalex.org/W4248072700"],"related_works":["https://openalex.org/W4386786398","https://openalex.org/W2138293586","https://openalex.org/W2080052720","https://openalex.org/W4319783074","https://openalex.org/W1503179180","https://openalex.org/W4319778501","https://openalex.org/W4255464147","https://openalex.org/W2391680869","https://openalex.org/W2021797003","https://openalex.org/W4313411469"],"abstract_inverted_index":{"Location":[0],"of":[1,5,10,29,71,83,105,113,121,143],"advertising":[2,20],"is":[3,90],"one":[4],"the":[6,15,30,44,65,69,75,96,102,131,140,144,146],"most":[7,79],"important":[8],"factors":[9],"marketing":[11,32],"strategy,":[12],"as":[13,111],"finding":[14],"best":[16,103],"location":[17,39,104],"to":[18,92],"install":[19],"billboards":[21,106],"can":[22,42],"have":[23],"a":[24,37,119],"major":[25],"impact":[26],"on":[27,108],"profitability":[28],"entire":[31],"process.":[33],"This":[34,99],"paper":[35],"provides":[36],"billboard":[38],"model,":[40],"which":[41],"determine":[43],"optimal":[45],"locations":[46],"for":[47,57],"installing":[48,74],"such":[49,110],"billboards.":[50],"The":[51,87],"multi-objective":[52],"and":[53,73,77,115,123],"multi-product":[54],"model":[55,100],"developed":[56],"this":[58],"purpose":[59],"has":[60],"two":[61],"objective":[62],"functions:":[63],"optimizing":[64],"sales":[66,116],"profit":[67],"minus":[68],"costs":[70],"designing":[72,88],"billboards,":[76],"attracting":[78],"visitors":[80],"through":[81],"maximization":[82],"an":[84],"attraction":[85,97],"factor.":[86,98],"cost":[89],"assumed":[91],"be":[93],"associated":[94],"with":[95],"finds":[101],"based":[107],"constraint":[109],"number":[112],"visits":[114],"volume.":[117],"Finally,":[118],"set":[120],"small":[122],"large-scale":[124,141],"numerical":[125],"examples":[126],"are":[127],"solved":[128],"by":[129],"implementing":[130],"solution":[132],"method":[133],"in":[134],"GAMS\\Cplex":[135],"solver":[136],"software.":[137],"To":[138],"solve":[139],"variants":[142],"problem,":[145],"genetic":[147],"algorithm.":[148]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":8},{"year":2022,"cited_by_count":8},{"year":2021,"cited_by_count":13},{"year":2020,"cited_by_count":5},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2026-06-20T22:02:38.213706","created_date":"2025-10-10T00:00:00"}
