{"id":"https://openalex.org/W2153070066","doi":"https://doi.org/10.1155/2013/382620","title":"An Equilibrium Chance-Constrained Multiobjective Programming Model with Birandom Parameters and Its Application to Inventory Problem","display_name":"An Equilibrium Chance-Constrained Multiobjective Programming Model with Birandom Parameters and Its Application to Inventory Problem","publication_year":2013,"publication_date":"2013-01-01","ids":{"openalex":"https://openalex.org/W2153070066","doi":"https://doi.org/10.1155/2013/382620","mag":"2153070066"},"language":"en","primary_location":{"id":"doi:10.1155/2013/382620","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2013/382620","pdf_url":"https://downloads.hindawi.com/journals/jam/2013/382620.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/jam/2013/382620.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5085670470","display_name":"Zhimiao Tao","orcid":"https://orcid.org/0000-0003-3405-2186"},"institutions":[{"id":"https://openalex.org/I24185976","display_name":"Sichuan University","ror":"https://ror.org/011ashp19","country_code":"CN","type":"education","lineage":["https://openalex.org/I24185976"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhimiao Tao","raw_affiliation_strings":["Uncertainty Decision-Making Laboratory, Sichuan University, Chengdu 610064, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Uncertainty Decision-Making Laboratory, Sichuan University, Chengdu 610064, China","institution_ids":["https://openalex.org/I24185976"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100691507","display_name":"Jiuping Xu","orcid":"https://orcid.org/0000-0003-3756-3969"},"institutions":[{"id":"https://openalex.org/I24185976","display_name":"Sichuan University","ror":"https://ror.org/011ashp19","country_code":"CN","type":"education","lineage":["https://openalex.org/I24185976"]},{"id":"https://openalex.org/I4391767678","display_name":"State Key Laboratory of Hydraulics and Mountain River Engineering","ror":"https://ror.org/02169wb20","country_code":null,"type":"facility","lineage":["https://openalex.org/I24185976","https://openalex.org/I4391767678"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jiuping Xu","raw_affiliation_strings":["State Key Laboratory of Hydraulics and Mountain River Engineering, Sichuan University, Chengdu 610064, China","Uncertainty Decision-Making Laboratory, Sichuan University, Chengdu 610064, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"State Key Laboratory of Hydraulics and Mountain River Engineering, Sichuan University, Chengdu 610064, China","institution_ids":["https://openalex.org/I24185976","https://openalex.org/I4391767678"]},{"raw_affiliation_string":"Uncertainty Decision-Making Laboratory, Sichuan University, Chengdu 610064, China","institution_ids":["https://openalex.org/I24185976"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5100691507"],"corresponding_institution_ids":["https://openalex.org/I24185976","https://openalex.org/I4391767678"],"apc_list":{"value":1025,"currency":"USD","value_usd":1025},"apc_paid":{"value":1025,"currency":"USD","value_usd":1025},"fwci":1.61,"has_fulltext":true,"cited_by_count":7,"citation_normalized_percentile":{"value":0.86312827,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"2013","issue":null,"first_page":"1","last_page":"12"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10328","display_name":"Supply Chain and Inventory Management","score":0.9979000091552734,"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":0.9979000091552734,"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/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9944999814033508,"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"}},{"id":"https://openalex.org/T12709","display_name":"Optimization and Mathematical Programming","score":0.992900013923645,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.7566983699798584},{"id":"https://openalex.org/keywords/multiobjective-programming","display_name":"Multiobjective programming","score":0.6184386610984802},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5186490416526794},{"id":"https://openalex.org/keywords/genetic-algorithm","display_name":"Genetic algorithm","score":0.4838053584098816},{"id":"https://openalex.org/keywords/embedding","display_name":"Embedding","score":0.4801337420940399},{"id":"https://openalex.org/keywords/genetic-programming","display_name":"Genetic programming","score":0.44505321979522705},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.4377768039703369},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4032505750656128},{"id":"https://openalex.org/keywords/multi-objective-optimization","display_name":"Multi-objective optimization","score":0.398451030254364},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08795318007469177}],"concepts":[{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.7566983699798584},{"id":"https://openalex.org/C2988952207","wikidata":"https://www.wikidata.org/wiki/Q2052203","display_name":"Multiobjective programming","level":3,"score":0.6184386610984802},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5186490416526794},{"id":"https://openalex.org/C8880873","wikidata":"https://www.wikidata.org/wiki/Q187787","display_name":"Genetic algorithm","level":2,"score":0.4838053584098816},{"id":"https://openalex.org/C41608201","wikidata":"https://www.wikidata.org/wiki/Q980509","display_name":"Embedding","level":2,"score":0.4801337420940399},{"id":"https://openalex.org/C110332635","wikidata":"https://www.wikidata.org/wiki/Q629498","display_name":"Genetic programming","level":2,"score":0.44505321979522705},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.4377768039703369},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4032505750656128},{"id":"https://openalex.org/C68781425","wikidata":"https://www.wikidata.org/wiki/Q2052203","display_name":"Multi-objective optimization","level":2,"score":0.398451030254364},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08795318007469177}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1155/2013/382620","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2013/382620","pdf_url":"https://downloads.hindawi.com/journals/jam/2013/382620.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.jam/1394807733","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.jam/1394807733","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},{"id":"pmh:oai:RePEc:hin:jnljam:382620","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/JAM/2013/382620.xml","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:doaj.org/article:077985c0ddc54e3da70a4b1a2b5c9b85","is_oa":true,"landing_page_url":"https://doaj.org/article/077985c0ddc54e3da70a4b1a2b5c9b85","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","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-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Applied Mathematics, Vol 2013 (2013)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2013/382620","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2013/382620","pdf_url":"https://downloads.hindawi.com/journals/jam/2013/382620.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1479040754","display_name":null,"funder_award_id":"70831005","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G337123223","display_name":null,"funder_award_id":"71011140076","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4131727339","display_name":null,"funder_award_id":"Xq13B04","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G493473926","display_name":null,"funder_award_id":"71273036","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G553527389","display_name":null,"funder_award_id":"71011140076","funder_id":"https://openalex.org/F4320322990","funder_display_name":"Sichuan University"},{"id":"https://openalex.org/G6625540214","display_name":null,"funder_award_id":"71273036","funder_id":"https://openalex.org/F4320322990","funder_display_name":"Sichuan University"},{"id":"https://openalex.org/G6664515699","display_name":null,"funder_award_id":"70831005","funder_id":"https://openalex.org/F4320322990","funder_display_name":"Sichuan University"},{"id":"https://openalex.org/G7219450223","display_name":null,"funder_award_id":"2012SCU11016","funder_id":"https://openalex.org/F4320322990","funder_display_name":"Sichuan University"},{"id":"https://openalex.org/G8622943016","display_name":null,"funder_award_id":"Xq13B04","funder_id":"https://openalex.org/F4320322990","funder_display_name":"Sichuan University"},{"id":"https://openalex.org/G933251501","display_name":null,"funder_award_id":"2012SCU11016","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320322990","display_name":"Sichuan University","ror":"https://ror.org/011ashp19"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2153070066.pdf","grobid_xml":"https://content.openalex.org/works/W2153070066.grobid-xml"},"referenced_works_count":27,"referenced_works":["https://openalex.org/W1964139873","https://openalex.org/W1964581121","https://openalex.org/W1972103576","https://openalex.org/W1984788635","https://openalex.org/W1989850552","https://openalex.org/W1999412521","https://openalex.org/W2005434213","https://openalex.org/W2006487034","https://openalex.org/W2011621283","https://openalex.org/W2019625361","https://openalex.org/W2024157478","https://openalex.org/W2027776534","https://openalex.org/W2049606892","https://openalex.org/W2059985839","https://openalex.org/W2066336474","https://openalex.org/W2072698204","https://openalex.org/W2077823485","https://openalex.org/W2078614206","https://openalex.org/W2081617561","https://openalex.org/W2092086926","https://openalex.org/W2108866497","https://openalex.org/W2123836833","https://openalex.org/W2125107978","https://openalex.org/W2154692846","https://openalex.org/W2171112637","https://openalex.org/W3121939106","https://openalex.org/W3140227716"],"related_works":["https://openalex.org/W2391726490","https://openalex.org/W98418551","https://openalex.org/W2316120757","https://openalex.org/W2010288626","https://openalex.org/W1857955804","https://openalex.org/W1600183476","https://openalex.org/W2352443140","https://openalex.org/W2067036393","https://openalex.org/W4241908792","https://openalex.org/W4298057142"],"abstract_inverted_index":{"An":[0],"equilibrium":[1,55],"chance-constrained":[2,56],"multiobjective":[3,57],"programming":[4,58],"model":[5,15,64,78],"with":[6],"birandom":[7,25,34,38,43],"parameters":[8],"is":[9,16,28,50],"proposed.":[10],"A":[11],"type":[12],"of":[13,76],"linear":[14],"converted":[17],"into":[18],"its":[19],"crisp":[20],"equivalent":[21],"model.":[22,59],"Then":[23],"a":[24,46,68],"simulation":[26,44],"technique":[27],"developed":[29],"to":[30,52,67],"tackle":[31],"the":[32,42,54,62,74,77,80],"general":[33],"objective":[35],"functions":[36],"and":[37,65,72,79],"constraints.":[39],"By":[40],"embedding":[41],"technique,":[45],"modified":[47],"genetic":[48],"algorithm":[49,66],"designed":[51],"solve":[53],"We":[60],"apply":[61],"proposed":[63],"real-world":[69],"inventory":[70],"problem":[71],"show":[73],"effectiveness":[75],"solution":[81],"method.":[82]},"counts_by_year":[{"year":2020,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}