{"id":"https://openalex.org/W2012325975","doi":"https://doi.org/10.1007/s10852-011-9160-6","title":"A Multi-Objective Production Inventory Model with Backorder for Fuzzy Random Demand Under Flexibility and Reliability","display_name":"A Multi-Objective Production Inventory Model with Backorder for Fuzzy Random Demand Under Flexibility and Reliability","publication_year":2011,"publication_date":"2011-09-07","ids":{"openalex":"https://openalex.org/W2012325975","doi":"https://doi.org/10.1007/s10852-011-9160-6","mag":"2012325975"},"language":"en","primary_location":{"id":"doi:10.1007/s10852-011-9160-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10852-011-9160-6","pdf_url":null,"source":{"id":"https://openalex.org/S80764785","display_name":"Journal of Mathematical Modelling and Algorithms","issn_l":"1570-1166","issn":["1570-1166","1572-9214"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Mathematical Modelling and Algorithms","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/A5011612811","display_name":"Nita H. Shah","orcid":"https://orcid.org/0000-0003-1605-4778"},"institutions":[{"id":"https://openalex.org/I114173286","display_name":"Gujarat University","ror":"https://ror.org/017f2w007","country_code":"IN","type":"education","lineage":["https://openalex.org/I114173286"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Nita H. Shah","raw_affiliation_strings":["Department of Mathematics, Gujarat University, Ahmedabad, 380009, Gujarat, India","Department of Mathematics, Gujarat University, Ahmedabad, India 380009"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Gujarat University, Ahmedabad, 380009, Gujarat, India","institution_ids":["https://openalex.org/I114173286"]},{"raw_affiliation_string":"Department of Mathematics, Gujarat University, Ahmedabad, India 380009","institution_ids":["https://openalex.org/I114173286"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5081870276","display_name":"Hardik N. Soni","orcid":"https://orcid.org/0000-0001-5247-0379"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Hardik Soni","raw_affiliation_strings":["Chimanbhai Patel Post Graduate Institute of Computer Applications, Ahmedabad, 380015, India","Chimanbhai Patel Post Graduate Institute of Computer Applications, Ahmedabad, India 380015#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Chimanbhai Patel Post Graduate Institute of Computer Applications, Ahmedabad, 380015, India","institution_ids":[]},{"raw_affiliation_string":"Chimanbhai Patel Post Graduate Institute of Computer Applications, Ahmedabad, India 380015#TAB#","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5011612811"],"corresponding_institution_ids":["https://openalex.org/I114173286"],"apc_list":null,"apc_paid":null,"fwci":0.5232,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.72390337,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"10","issue":"4","first_page":"341","last_page":"356"},"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/T12709","display_name":"Optimization and Mathematical Programming","score":0.9976000189781189,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9962999820709229,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.7145381569862366},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.7012755274772644},{"id":"https://openalex.org/keywords/randomness","display_name":"Randomness","score":0.6975352764129639},{"id":"https://openalex.org/keywords/profit-maximization","display_name":"Profit maximization","score":0.594403862953186},{"id":"https://openalex.org/keywords/economic-production-quantity","display_name":"Economic production quantity","score":0.5529888272285461},{"id":"https://openalex.org/keywords/profit","display_name":"Profit (economics)","score":0.5461328029632568},{"id":"https://openalex.org/keywords/production","display_name":"Production (economics)","score":0.5165513753890991},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.4804389178752899},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4498146176338196},{"id":"https://openalex.org/keywords/flexibility","display_name":"Flexibility (engineering)","score":0.44893819093704224},{"id":"https://openalex.org/keywords/economic-shortage","display_name":"Economic shortage","score":0.4461016356945038},{"id":"https://openalex.org/keywords/fuzzy-number","display_name":"Fuzzy number","score":0.4378906488418579},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3839139938354492},{"id":"https://openalex.org/keywords/operations-research","display_name":"Operations research","score":0.37216442823410034},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.33448734879493713},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.23170825839042664},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.1709544062614441},{"id":"https://openalex.org/keywords/microeconomics","display_name":"Microeconomics","score":0.10581168532371521},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07775038480758667}],"concepts":[{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.7145381569862366},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.7012755274772644},{"id":"https://openalex.org/C125112378","wikidata":"https://www.wikidata.org/wiki/Q176640","display_name":"Randomness","level":2,"score":0.6975352764129639},{"id":"https://openalex.org/C2777780509","wikidata":"https://www.wikidata.org/wiki/Q1377422","display_name":"Profit maximization","level":3,"score":0.594403862953186},{"id":"https://openalex.org/C2776202965","wikidata":"https://www.wikidata.org/wiki/Q5333534","display_name":"Economic production quantity","level":3,"score":0.5529888272285461},{"id":"https://openalex.org/C181622380","wikidata":"https://www.wikidata.org/wiki/Q26911","display_name":"Profit (economics)","level":2,"score":0.5461328029632568},{"id":"https://openalex.org/C2778348673","wikidata":"https://www.wikidata.org/wiki/Q739302","display_name":"Production (economics)","level":2,"score":0.5165513753890991},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.4804389178752899},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4498146176338196},{"id":"https://openalex.org/C2780598303","wikidata":"https://www.wikidata.org/wiki/Q65921492","display_name":"Flexibility (engineering)","level":2,"score":0.44893819093704224},{"id":"https://openalex.org/C194051981","wikidata":"https://www.wikidata.org/wiki/Q1337691","display_name":"Economic shortage","level":3,"score":0.4461016356945038},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.4378906488418579},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3839139938354492},{"id":"https://openalex.org/C42475967","wikidata":"https://www.wikidata.org/wiki/Q194292","display_name":"Operations research","level":1,"score":0.37216442823410034},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.33448734879493713},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.23170825839042664},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1709544062614441},{"id":"https://openalex.org/C175444787","wikidata":"https://www.wikidata.org/wiki/Q39072","display_name":"Microeconomics","level":1,"score":0.10581168532371521},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07775038480758667},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C2778137410","wikidata":"https://www.wikidata.org/wiki/Q2732820","display_name":"Government (linguistics)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10852-011-9160-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10852-011-9160-6","pdf_url":null,"source":{"id":"https://openalex.org/S80764785","display_name":"Journal of Mathematical Modelling and Algorithms","issn_l":"1570-1166","issn":["1570-1166","1572-9214"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Mathematical Modelling and Algorithms","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":45,"referenced_works":["https://openalex.org/W50769900","https://openalex.org/W350071688","https://openalex.org/W1497256448","https://openalex.org/W1536339261","https://openalex.org/W1578324001","https://openalex.org/W1594994747","https://openalex.org/W1595498733","https://openalex.org/W1964566185","https://openalex.org/W1985919008","https://openalex.org/W1992031787","https://openalex.org/W1997925065","https://openalex.org/W1998265153","https://openalex.org/W2001258251","https://openalex.org/W2001563805","https://openalex.org/W2009721924","https://openalex.org/W2015254403","https://openalex.org/W2031024402","https://openalex.org/W2044885671","https://openalex.org/W2048747364","https://openalex.org/W2053582302","https://openalex.org/W2053900989","https://openalex.org/W2056546148","https://openalex.org/W2063977183","https://openalex.org/W2064210015","https://openalex.org/W2067648572","https://openalex.org/W2069069851","https://openalex.org/W2071454780","https://openalex.org/W2072403012","https://openalex.org/W2078591766","https://openalex.org/W2080409014","https://openalex.org/W2086806925","https://openalex.org/W2091099139","https://openalex.org/W2114173607","https://openalex.org/W2126105956","https://openalex.org/W2128105258","https://openalex.org/W2128469089","https://openalex.org/W2132804764","https://openalex.org/W2153683341","https://openalex.org/W2158182297","https://openalex.org/W2170823321","https://openalex.org/W2395680404","https://openalex.org/W2774601402","https://openalex.org/W2912565176","https://openalex.org/W4211007335","https://openalex.org/W6637059799"],"related_works":["https://openalex.org/W3034924094","https://openalex.org/W3094954546","https://openalex.org/W1488708774","https://openalex.org/W2981906196","https://openalex.org/W1486684451","https://openalex.org/W2099285375","https://openalex.org/W2801459815","https://openalex.org/W4361273540","https://openalex.org/W4361984403","https://openalex.org/W4317826560"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2025-10-10T00:00:00"}