{"id":"https://openalex.org/W2906304617","doi":"https://doi.org/10.3390/info10010007","title":"Traveling-Salesman-Problem Algorithm Based on Simulated Annealing and Gene-Expression Programming","display_name":"Traveling-Salesman-Problem Algorithm Based on Simulated Annealing and Gene-Expression Programming","publication_year":2018,"publication_date":"2018-12-25","ids":{"openalex":"https://openalex.org/W2906304617","doi":"https://doi.org/10.3390/info10010007","mag":"2906304617"},"language":"en","primary_location":{"id":"doi:10.3390/info10010007","is_oa":true,"landing_page_url":"https://doi.org/10.3390/info10010007","pdf_url":"https://www.mdpi.com/2078-2489/10/1/7/pdf?version=1545738362","source":{"id":"https://openalex.org/S4210219776","display_name":"Information","issn_l":"2078-2489","issn":["2078-2489"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Information","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2078-2489/10/1/7/pdf?version=1545738362","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101131416","display_name":"Aihua Zhou","orcid":null},"institutions":[{"id":"https://openalex.org/I17442442","display_name":"State Grid Corporation of China (China)","ror":"https://ror.org/05twwhs70","country_code":"CN","type":"company","lineage":["https://openalex.org/I17442442"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ai-Hua Zhou","raw_affiliation_strings":["Global Energy Interconnection Research Institute Co., Ltd., Beijing 102200, China","Power Systems Artificial Intelligence Joint Laboratory of SGCC, Beijing 102200, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Global Energy Interconnection Research Institute Co., Ltd., Beijing 102200, China","institution_ids":["https://openalex.org/I17442442"]},{"raw_affiliation_string":"Power Systems Artificial Intelligence Joint Laboratory of SGCC, Beijing 102200, China","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5065810347","display_name":"Lipeng Zhu","orcid":"https://orcid.org/0000-0001-6051-9064"},"institutions":[{"id":"https://openalex.org/I17442442","display_name":"State Grid Corporation of China (China)","ror":"https://ror.org/05twwhs70","country_code":"CN","type":"company","lineage":["https://openalex.org/I17442442"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Li-Peng Zhu","raw_affiliation_strings":["Global Energy Interconnection Research Institute Co., Ltd., Beijing 102200, China","Power Systems Artificial Intelligence Joint Laboratory of SGCC, Beijing 102200, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Global Energy Interconnection Research Institute Co., Ltd., Beijing 102200, China","institution_ids":["https://openalex.org/I17442442"]},{"raw_affiliation_string":"Power Systems Artificial Intelligence Joint Laboratory of SGCC, Beijing 102200, China","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5050064900","display_name":"Bin Hu","orcid":"https://orcid.org/0000-0002-3184-8907"},"institutions":[{"id":"https://openalex.org/I17442442","display_name":"State Grid Corporation of China (China)","ror":"https://ror.org/05twwhs70","country_code":"CN","type":"company","lineage":["https://openalex.org/I17442442"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Bin Hu","raw_affiliation_strings":["Global Energy Interconnection Research Institute Co., Ltd., Beijing 102200, China","Power Systems Artificial Intelligence Joint Laboratory of SGCC, Beijing 102200, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Global Energy Interconnection Research Institute Co., Ltd., Beijing 102200, China","institution_ids":["https://openalex.org/I17442442"]},{"raw_affiliation_string":"Power Systems Artificial Intelligence Joint Laboratory of SGCC, Beijing 102200, China","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5001770391","display_name":"Song Deng","orcid":"https://orcid.org/0000-0002-8976-6592"},"institutions":[{"id":"https://openalex.org/I41198531","display_name":"Nanjing University of Posts and Telecommunications","ror":"https://ror.org/043bpky34","country_code":"CN","type":"education","lineage":["https://openalex.org/I41198531"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Song Deng","raw_affiliation_strings":["Institute of Advanced Technology, Nanjing University of Posts and Telecommunications, Nanjing 230001, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Advanced Technology, Nanjing University of Posts and Telecommunications, Nanjing 230001, China","institution_ids":["https://openalex.org/I41198531"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5054674018","display_name":"Yan Song","orcid":"https://orcid.org/0000-0001-7927-0908"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Yan Song","raw_affiliation_strings":["Electric Power Research Institute of State Grid Shanghai Municipal Electric Power Company, Shanghai 200437, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Electric Power Research Institute of State Grid Shanghai Municipal Electric Power Company, Shanghai 200437, China","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5027790457","display_name":"Hongbin Qiu","orcid":"https://orcid.org/0000-0002-6709-2830"},"institutions":[{"id":"https://openalex.org/I17442442","display_name":"State Grid Corporation of China (China)","ror":"https://ror.org/05twwhs70","country_code":"CN","type":"company","lineage":["https://openalex.org/I17442442"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hongbin Qiu","raw_affiliation_strings":["Global Energy Interconnection Research Institute Co., Ltd., Beijing 102200, China","Power Systems Artificial Intelligence Joint Laboratory of SGCC, Beijing 102200, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Global Energy Interconnection Research Institute Co., Ltd., Beijing 102200, China","institution_ids":["https://openalex.org/I17442442"]},{"raw_affiliation_string":"Power Systems Artificial Intelligence Joint Laboratory of SGCC, Beijing 102200, China","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5103253959","display_name":"Sen Pan","orcid":"https://orcid.org/0000-0001-7038-1142"},"institutions":[{"id":"https://openalex.org/I17442442","display_name":"State Grid Corporation of China (China)","ror":"https://ror.org/05twwhs70","country_code":"CN","type":"company","lineage":["https://openalex.org/I17442442"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Sen Pan","raw_affiliation_strings":["Global Energy Interconnection Research Institute Co., Ltd., Beijing 102200, China","Power Systems Artificial Intelligence Joint Laboratory of SGCC, Beijing 102200, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Global Energy Interconnection Research Institute Co., Ltd., Beijing 102200, China","institution_ids":["https://openalex.org/I17442442"]},{"raw_affiliation_string":"Power Systems Artificial Intelligence Joint Laboratory of SGCC, Beijing 102200, China","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":7,"corresponding_author_ids":["https://openalex.org/A5001770391"],"corresponding_institution_ids":["https://openalex.org/I41198531"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":4.5619,"has_fulltext":true,"cited_by_count":73,"citation_normalized_percentile":{"value":0.95747358,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"10","issue":"1","first_page":"7","last_page":"7"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10100","display_name":"Metaheuristic Optimization Algorithms Research","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10100","display_name":"Metaheuristic Optimization Algorithms Research","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":0.9968000054359436,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10567","display_name":"Vehicle Routing Optimization Methods","score":0.9965000152587891,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/travelling-salesman-problem","display_name":"Travelling salesman problem","score":0.8147904872894287},{"id":"https://openalex.org/keywords/simulated-annealing","display_name":"Simulated annealing","score":0.7972183227539062},{"id":"https://openalex.org/keywords/tabu-search","display_name":"Tabu search","score":0.6972565054893494},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6475494503974915},{"id":"https://openalex.org/keywords/ant-colony-optimization-algorithms","display_name":"Ant colony optimization algorithms","score":0.6067813038825989},{"id":"https://openalex.org/keywords/benchmark","display_name":"Benchmark (surveying)","score":0.5838685035705566},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5782288312911987},{"id":"https://openalex.org/keywords/hill-climbing","display_name":"Hill climbing","score":0.5522353053092957},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5515416264533997},{"id":"https://openalex.org/keywords/metaheuristic","display_name":"Metaheuristic","score":0.504555344581604},{"id":"https://openalex.org/keywords/gene-expression-programming","display_name":"Gene expression programming","score":0.5001711845397949},{"id":"https://openalex.org/keywords/population","display_name":"Population","score":0.4745294153690338},{"id":"https://openalex.org/keywords/local-search","display_name":"Local search (optimization)","score":0.47299036383628845},{"id":"https://openalex.org/keywords/local-optimum","display_name":"Local optimum","score":0.4364869296550751},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.4198231101036072},{"id":"https://openalex.org/keywords/heuristic","display_name":"Heuristic","score":0.41538557410240173},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.28353995084762573},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1301257610321045}],"concepts":[{"id":"https://openalex.org/C175859090","wikidata":"https://www.wikidata.org/wiki/Q322212","display_name":"Travelling salesman problem","level":2,"score":0.8147904872894287},{"id":"https://openalex.org/C126980161","wikidata":"https://www.wikidata.org/wiki/Q863783","display_name":"Simulated annealing","level":2,"score":0.7972183227539062},{"id":"https://openalex.org/C123370116","wikidata":"https://www.wikidata.org/wiki/Q1424540","display_name":"Tabu search","level":2,"score":0.6972565054893494},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6475494503974915},{"id":"https://openalex.org/C40128228","wikidata":"https://www.wikidata.org/wiki/Q460851","display_name":"Ant colony optimization algorithms","level":2,"score":0.6067813038825989},{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.5838685035705566},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5782288312911987},{"id":"https://openalex.org/C135450995","wikidata":"https://www.wikidata.org/wiki/Q820272","display_name":"Hill climbing","level":2,"score":0.5522353053092957},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5515416264533997},{"id":"https://openalex.org/C109718341","wikidata":"https://www.wikidata.org/wiki/Q1385229","display_name":"Metaheuristic","level":2,"score":0.504555344581604},{"id":"https://openalex.org/C6980683","wikidata":"https://www.wikidata.org/wiki/Q5531551","display_name":"Gene expression programming","level":2,"score":0.5001711845397949},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.4745294153690338},{"id":"https://openalex.org/C135320971","wikidata":"https://www.wikidata.org/wiki/Q1868524","display_name":"Local search (optimization)","level":2,"score":0.47299036383628845},{"id":"https://openalex.org/C141934464","wikidata":"https://www.wikidata.org/wiki/Q3305386","display_name":"Local optimum","level":2,"score":0.4364869296550751},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.4198231101036072},{"id":"https://openalex.org/C173801870","wikidata":"https://www.wikidata.org/wiki/Q201413","display_name":"Heuristic","level":2,"score":0.41538557410240173},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.28353995084762573},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1301257610321045},{"id":"https://openalex.org/C13280743","wikidata":"https://www.wikidata.org/wiki/Q131089","display_name":"Geodesy","level":1,"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/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","level":1,"score":0.0},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/info10010007","is_oa":true,"landing_page_url":"https://doi.org/10.3390/info10010007","pdf_url":"https://www.mdpi.com/2078-2489/10/1/7/pdf?version=1545738362","source":{"id":"https://openalex.org/S4210219776","display_name":"Information","issn_l":"2078-2489","issn":["2078-2489"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Information","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:c32ac88ef10d4e5492e0422af224c4c6","is_oa":true,"landing_page_url":"https://doaj.org/article/c32ac88ef10d4e5492e0422af224c4c6","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":"Information, Vol 10, Iss 1, p 7 (2018)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2078-2489/10/1/7/","is_oa":true,"landing_page_url":"http://dx.doi.org/10.3390/info10010007","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Information","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/info10010007","is_oa":true,"landing_page_url":"https://doi.org/10.3390/info10010007","pdf_url":"https://www.mdpi.com/2078-2489/10/1/7/pdf?version=1545738362","source":{"id":"https://openalex.org/S4210219776","display_name":"Information","issn_l":"2078-2489","issn":["2078-2489"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Information","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/1","display_name":"No poverty","score":0.6000000238418579}],"awards":[{"id":"https://openalex.org/G1770075556","display_name":null,"funder_award_id":"51507084,61363037","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7199260393","display_name":"\u9762\u5411\u6709\u6e90\u914d\u7535\u7f51\u7684\u6570\u636e\u4f20\u8f93\u4f18\u5316\u53ca\u667a\u80fd\u8fc7\u6ee4\u673a\u5236","funder_award_id":"51507084","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7221809926","display_name":"\u57fa\u4e8eGEP\u548c\u4e9a\u590d\u6742\u7cfb\u7edf\u7684\u8de8\u5a92\u4f53\u65f6\u7a7a\u6570\u636e\u6316\u6398\u5173\u952e\u6280\u672f\u7814\u7a76","funder_award_id":"61363037","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"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2906304617.pdf","grobid_xml":"https://content.openalex.org/works/W2906304617.grobid-xml"},"referenced_works_count":34,"referenced_works":["https://openalex.org/W1826740954","https://openalex.org/W1980275149","https://openalex.org/W2010727500","https://openalex.org/W2013803636","https://openalex.org/W2024060531","https://openalex.org/W2039069560","https://openalex.org/W2050568179","https://openalex.org/W2058120476","https://openalex.org/W2076539542","https://openalex.org/W2125581168","https://openalex.org/W2134877269","https://openalex.org/W2135173139","https://openalex.org/W2160268549","https://openalex.org/W2163206542","https://openalex.org/W2163428398","https://openalex.org/W2165142526","https://openalex.org/W2167140044","https://openalex.org/W2169690625","https://openalex.org/W2194562489","https://openalex.org/W2277794740","https://openalex.org/W2289791923","https://openalex.org/W2302174052","https://openalex.org/W2330201086","https://openalex.org/W2348920385","https://openalex.org/W2385397732","https://openalex.org/W2515159839","https://openalex.org/W2552854184","https://openalex.org/W2564567964","https://openalex.org/W2583603977","https://openalex.org/W2613229031","https://openalex.org/W4210580908","https://openalex.org/W6638609920","https://openalex.org/W6694552415","https://openalex.org/W6738297073"],"related_works":["https://openalex.org/W1533229056","https://openalex.org/W57712993","https://openalex.org/W2123829500","https://openalex.org/W2560221187","https://openalex.org/W2535266198","https://openalex.org/W2305572622","https://openalex.org/W3046481193","https://openalex.org/W2726888863","https://openalex.org/W2885371939","https://openalex.org/W4251252301"],"abstract_inverted_index":{"The":[0,93],"traveling-salesman":[1],"problem":[2],"can":[3],"be":[4],"regarded":[5],"as":[6,20],"an":[7],"NP-hard":[8],"problem.":[9,67],"To":[10],"better":[11,64],"solve":[12,65],"the":[13,66,69,77,80,88,103,114,117,120,124,126,131,135,140],"best":[14,115,132],"solution,":[15,116,119,138],"many":[16],"heuristic":[17,109],"algorithms,":[18],"such":[19],"simulated":[21,58,73],"annealing,":[22],"ant-colony":[23],"optimization,":[24],"tabu":[25],"search,":[26],"and":[27,60,86,134,139],"genetic":[28],"algorithm,":[29,70,125],"were":[30],"used.":[31],"However,":[32],"these":[33],"algorithms":[34,110],"either":[35],"are":[36],"easy":[37],"to":[38,63,75],"fall":[39],"into":[40],"local":[41],"optimization":[42],"or":[43,46],"have":[44],"low":[45],"poor":[47],"convergence":[48],"performance.":[49],"This":[50],"paper":[51],"proposes":[52],"a":[53],"new":[54],"algorithm":[55,105],"based":[56],"on":[57],"annealing":[59,74],"gene-expression":[61],"programming":[62],"In":[68],"we":[71],"use":[72],"increase":[76],"diversity":[78],"of":[79,90,113,123,128,143],"Gene":[81],"Expression":[82],"Programming":[83],"(GEP)":[84],"population":[85],"improve":[87],"ability":[89],"global":[91],"search.":[92],"comparative":[94],"experiments":[95],"results,":[96],"using":[97],"six":[98],"benchmark":[99],"instances,":[100],"show":[101],"that":[102],"proposed":[104],"outperforms":[106],"other":[107],"well-known":[108],"in":[111],"terms":[112],"worst":[118],"running":[121],"time":[122],"rate":[127],"difference":[129],"between":[130],"solution":[133],"known":[136],"optimal":[137],"convergent":[141],"speed":[142],"algorithms.":[144]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":10},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":13},{"year":2022,"cited_by_count":14},{"year":2021,"cited_by_count":14},{"year":2020,"cited_by_count":10},{"year":2019,"cited_by_count":3},{"year":2017,"cited_by_count":1}],"updated_date":"2026-06-06T09:05:17.133730","created_date":"2025-10-10T00:00:00"}