{"id":"https://openalex.org/W3011011890","doi":"https://doi.org/10.4018/ijamc.2020070102","title":"Quantum-Behaved Bat Algorithm for Solving the Economic Load Dispatch Problem Considering a Valve-Point Effect","display_name":"Quantum-Behaved Bat Algorithm for Solving the Economic Load Dispatch Problem Considering a Valve-Point Effect","publication_year":2020,"publication_date":"2020-03-20","ids":{"openalex":"https://openalex.org/W3011011890","doi":"https://doi.org/10.4018/ijamc.2020070102","mag":"3011011890"},"language":"en","primary_location":{"id":"doi:10.4018/ijamc.2020070102","is_oa":false,"landing_page_url":"https://doi.org/10.4018/ijamc.2020070102","pdf_url":null,"source":{"id":"https://openalex.org/S7509020","display_name":"International Journal of Applied Metaheuristic Computing","issn_l":"1947-8283","issn":["1947-8283","1947-8291"],"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 Metaheuristic Computing","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/A5089550455","display_name":"Pandian Vasant","orcid":"https://orcid.org/0000-0002-0755-1046"},"institutions":[{"id":"https://openalex.org/I203899302","display_name":"Universiti Teknologi Petronas","ror":"https://ror.org/048g2sh07","country_code":"MY","type":"education","lineage":["https://openalex.org/I203899302"]}],"countries":["MY"],"is_corresponding":false,"raw_author_name":"Pandian Vasant","raw_affiliation_strings":["Department of Fundamental and Applied Sciences, Universiti Teknologi PETRONAS, Seri Iskandar, Malaysia"],"raw_orcid":"https://orcid.org/0000-0002-0755-1046","affiliations":[{"raw_affiliation_string":"Department of Fundamental and Applied Sciences, Universiti Teknologi PETRONAS, Seri Iskandar, Malaysia","institution_ids":["https://openalex.org/I203899302"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5084698303","display_name":"Fahad Parvez Mahdi","orcid":"https://orcid.org/0000-0002-0081-7358"},"institutions":[{"id":"https://openalex.org/I180941496","display_name":"University of Hyogo","ror":"https://ror.org/0151bmh98","country_code":"JP","type":"education","lineage":["https://openalex.org/I180941496"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Fahad Parvez Mahdi","raw_affiliation_strings":["University of Hyogo, Kobe, Japan"],"raw_orcid":"https://orcid.org/0000-0002-0081-7358","affiliations":[{"raw_affiliation_string":"University of Hyogo, Kobe, Japan","institution_ids":["https://openalex.org/I180941496"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5040805703","display_name":"Jos\u00e9 Antonio Marmolejo-Saucedo","orcid":"https://orcid.org/0000-0002-8539-9828"},"institutions":[{"id":"https://openalex.org/I86613570","display_name":"Universidad Panamericana","ror":"https://ror.org/01n1q0h77","country_code":"MX","type":"education","lineage":["https://openalex.org/I86613570"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Jose Antonio Marmolejo-Saucedo","raw_affiliation_strings":["Universidad Panamericana, Facultad de Ingenier\u00eda, Ciudad de M\u00e9xico, Mexico"],"raw_orcid":"https://orcid.org/0000-0002-8539-9828","affiliations":[{"raw_affiliation_string":"Universidad Panamericana, Facultad de Ingenier\u00eda, Ciudad de M\u00e9xico, Mexico","institution_ids":["https://openalex.org/I86613570"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5088187330","display_name":"Igor Litvinchev","orcid":"https://orcid.org/0000-0002-1850-4755"},"institutions":[{"id":"https://openalex.org/I169046204","display_name":"Universidad Aut\u00f3noma de Nuevo Le\u00f3n","ror":"https://ror.org/01fh86n78","country_code":"MX","type":"education","lineage":["https://openalex.org/I169046204"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Igor Litvinchev","raw_affiliation_strings":["Nuevo Leon State University, San Nicol\u00e1s de los Garza, Mexico"],"raw_orcid":"https://orcid.org/0000-0002-1850-4755","affiliations":[{"raw_affiliation_string":"Nuevo Leon State University, San Nicol\u00e1s de los Garza, Mexico","institution_ids":["https://openalex.org/I169046204"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5015232630","display_name":"Rom\u00e1n Rodr\u00edguez-Aguilar","orcid":"https://orcid.org/0000-0002-6496-4453"},"institutions":[{"id":"https://openalex.org/I86613570","display_name":"Universidad Panamericana","ror":"https://ror.org/01n1q0h77","country_code":"MX","type":"education","lineage":["https://openalex.org/I86613570"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Roman Rodriguez Aguilar","raw_affiliation_strings":["Universidad Panamericana, Escuela de Ciencias Econ\u00f3micas y Empresariales, Ciudad de M\u00e9xico, Mexico"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universidad Panamericana, Escuela de Ciencias Econ\u00f3micas y Empresariales, Ciudad de M\u00e9xico, Mexico","institution_ids":["https://openalex.org/I86613570"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5108650274","display_name":"Junzo Watada","orcid":null},"institutions":[{"id":"https://openalex.org/I203899302","display_name":"Universiti Teknologi Petronas","ror":"https://ror.org/048g2sh07","country_code":"MY","type":"education","lineage":["https://openalex.org/I203899302"]}],"countries":["MY"],"is_corresponding":false,"raw_author_name":"Junzo Watada","raw_affiliation_strings":["Universiti Teknologi Petronas, Seri Iskandar, Malaysia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universiti Teknologi Petronas, Seri Iskandar, Malaysia","institution_ids":["https://openalex.org/I203899302"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":6,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.7285,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.69854081,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"11","issue":"3","first_page":"41","last_page":"57"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10424","display_name":"Electric Power System Optimization","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"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/T10424","display_name":"Electric Power System Optimization","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/T10454","display_name":"Optimal Power Flow Distribution","score":0.9979000091552734,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/T10603","display_name":"Smart Grid Energy Management","score":0.9944000244140625,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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":0.6893448233604431},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6499870419502258},{"id":"https://openalex.org/keywords/particle-swarm-optimization","display_name":"Particle swarm optimization","score":0.6280975937843323},{"id":"https://openalex.org/keywords/simulated-annealing","display_name":"Simulated annealing","score":0.5297421216964722},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5275561213493347},{"id":"https://openalex.org/keywords/differential-evolution","display_name":"Differential evolution","score":0.5134137868881226},{"id":"https://openalex.org/keywords/metaheuristic","display_name":"Metaheuristic","score":0.4692860543727875},{"id":"https://openalex.org/keywords/bat-algorithm","display_name":"Bat algorithm","score":0.4685894846916199},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.44227609038352966},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.43553996086120605},{"id":"https://openalex.org/keywords/electric-power-system","display_name":"Electric power system","score":0.43323174118995667},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4093778133392334},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.291725754737854},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2386740744113922}],"concepts":[{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6893448233604431},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6499870419502258},{"id":"https://openalex.org/C85617194","wikidata":"https://www.wikidata.org/wiki/Q2072794","display_name":"Particle swarm optimization","level":2,"score":0.6280975937843323},{"id":"https://openalex.org/C126980161","wikidata":"https://www.wikidata.org/wiki/Q863783","display_name":"Simulated annealing","level":2,"score":0.5297421216964722},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5275561213493347},{"id":"https://openalex.org/C74750220","wikidata":"https://www.wikidata.org/wiki/Q2662197","display_name":"Differential evolution","level":2,"score":0.5134137868881226},{"id":"https://openalex.org/C109718341","wikidata":"https://www.wikidata.org/wiki/Q1385229","display_name":"Metaheuristic","level":2,"score":0.4692860543727875},{"id":"https://openalex.org/C5351157","wikidata":"https://www.wikidata.org/wiki/Q4868485","display_name":"Bat algorithm","level":3,"score":0.4685894846916199},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.44227609038352966},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.43553996086120605},{"id":"https://openalex.org/C89227174","wikidata":"https://www.wikidata.org/wiki/Q2388981","display_name":"Electric power system","level":3,"score":0.43323174118995667},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4093778133392334},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.291725754737854},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2386740744113922},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.4018/ijamc.2020070102","is_oa":false,"landing_page_url":"https://doi.org/10.4018/ijamc.2020070102","pdf_url":null,"source":{"id":"https://openalex.org/S7509020","display_name":"International Journal of Applied Metaheuristic Computing","issn_l":"1947-8283","issn":["1947-8283","1947-8291"],"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 Metaheuristic Computing","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:igg:jamc00:v:11:y:2020:i:3:p:41-57","is_oa":false,"landing_page_url":"https://services.igi-global.com/resolvedoi/resolve.aspx?doi=10.4018/IJAMC.2020070102","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":[{"score":0.550000011920929,"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":50,"referenced_works":["https://openalex.org/W1443779825","https://openalex.org/W1534109508","https://openalex.org/W1571403844","https://openalex.org/W1577668191","https://openalex.org/W1593835277","https://openalex.org/W1966554507","https://openalex.org/W1978005729","https://openalex.org/W2006331972","https://openalex.org/W2006734147","https://openalex.org/W2010372878","https://openalex.org/W2016408005","https://openalex.org/W2024518622","https://openalex.org/W2024924798","https://openalex.org/W2025122100","https://openalex.org/W2032307170","https://openalex.org/W2035820076","https://openalex.org/W2039446447","https://openalex.org/W2048024781","https://openalex.org/W2055454716","https://openalex.org/W2064573499","https://openalex.org/W2064777536","https://openalex.org/W2072963474","https://openalex.org/W2083238221","https://openalex.org/W2088254784","https://openalex.org/W2102612248","https://openalex.org/W2107275884","https://openalex.org/W2109596079","https://openalex.org/W2111986215","https://openalex.org/W2112592051","https://openalex.org/W2112942103","https://openalex.org/W2124191389","https://openalex.org/W2134869843","https://openalex.org/W2141635413","https://openalex.org/W2147185189","https://openalex.org/W2148634640","https://openalex.org/W2152869312","https://openalex.org/W2156391473","https://openalex.org/W2165655609","https://openalex.org/W2344928529","https://openalex.org/W2365726916","https://openalex.org/W2378524661","https://openalex.org/W2416614998","https://openalex.org/W2559709208","https://openalex.org/W2591903412","https://openalex.org/W2622584293","https://openalex.org/W2727542546","https://openalex.org/W2963103847","https://openalex.org/W3105346980","https://openalex.org/W4251695001","https://openalex.org/W6634715273"],"related_works":["https://openalex.org/W1939200287","https://openalex.org/W2082305040","https://openalex.org/W4381955380","https://openalex.org/W2079579310","https://openalex.org/W1980833393","https://openalex.org/W2064731037","https://openalex.org/W1972566927","https://openalex.org/W1967228184","https://openalex.org/W2003904901","https://openalex.org/W2076297169"],"abstract_inverted_index":{"Quantum":[0],"computing-inspired":[1],"metaheuristic":[2],"algorithms":[3],"have":[4],"emerged":[5],"as":[6,115],"a":[7,19,28,74,170],"powerful":[8],"computational":[9,160],"tool":[10],"to":[11,26,40,51,70,165,173],"solve":[12,27,174],"nonlinear":[13,29,176],"optimization":[14,125,177],"problems.":[15],"In":[16],"this":[17],"paper,":[18],"quantum-behaved":[20],"bat":[21],"algorithm":[22,128],"(QBA)":[23],"is":[24,39,77,85,102],"implemented":[25],"economic":[30],"load":[31,97],"dispatch":[32],"(ELD)":[33],"problem.":[34,83,178],"The":[35,99,139],"objective":[36],"of":[37,45,56,118,141,154],"ELD":[38,82],"find":[41],"an":[42,167],"optimal":[43],"combination":[44],"power":[46,92],"generating":[47],"units":[48],"in":[49,87,152],"order":[50],"minimize":[52],"total":[53],"fuel":[54],"cost":[55],"the":[57,66,71,81,112,149],"system,":[58],"while":[59],"satisfying":[60],"all":[61],"other":[62],"constraints.":[63],"To":[64],"make":[65],"system":[67],"more":[68],"applicable":[69],"real-world":[72],"problem,":[73],"valve-point":[75],"effect":[76],"considered":[78],"here":[79],"with":[80,107],"QBA":[84,145,163],"applied":[86],"3-unit,":[88],"10-unit,":[89],"and":[90,105,122,136,159,169],"40-unit":[91],"generation":[93],"systems":[94],"for":[95],"different":[96,116],"demands.":[98],"obtained":[100],"result":[101],"then":[103],"presented":[104],"compared":[106],"some":[108],"well-known":[109],"methods":[110,151],"from":[111],"literature":[113],"such":[114,175],"versions":[117],"evolutionary":[119],"programming":[120],"(EP)":[121],"particle":[123],"swarm":[124],"(PSO),":[126],"genetic":[127],"(GA),":[129],"differential":[130],"evolution":[131],"(DE),":[132],"simulated":[133],"annealing":[134],"(SA)":[135],"hybrid":[137],"ABC_PSO.":[138],"comparison":[140],"results":[142],"shows":[143],"that":[144],"performs":[146],"better":[147],"than":[148],"above-mentioned":[150],"terms":[153],"solution":[155],"quality,":[156],"convergence":[157],"characteristics":[158],"efficiency.":[161],"Thus,":[162],"proves":[164],"be":[166],"effective":[168],"robust":[171],"technique":[172]},"counts_by_year":[{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":4}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
