{"id":"https://openalex.org/W2152965497","doi":"https://doi.org/10.1186/1752-0509-4-s2-s14","title":"On finite-horizon control of genetic regulatory networks with multiple hard-constraints","display_name":"On finite-horizon control of genetic regulatory networks with multiple hard-constraints","publication_year":2010,"publication_date":"2010-09-01","ids":{"openalex":"https://openalex.org/W2152965497","doi":"https://doi.org/10.1186/1752-0509-4-s2-s14","mag":"2152965497","pmid":"https://pubmed.ncbi.nlm.nih.gov/20840728"},"language":"en","primary_location":{"id":"doi:10.1186/1752-0509-4-s2-s14","is_oa":true,"landing_page_url":"https://doi.org/10.1186/1752-0509-4-s2-s14","pdf_url":"https://link.springer.com/content/pdf/10.1186/1752-0509-4-S2-S14.pdf","source":{"id":"https://openalex.org/S92363890","display_name":"BMC Systems Biology","issn_l":"1752-0509","issn":["1752-0509"],"is_oa":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"BMC Systems Biology","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj","pubmed"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://link.springer.com/content/pdf/10.1186/1752-0509-4-S2-S14.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5037082005","display_name":"Cong Yang","orcid":"https://orcid.org/0000-0002-8314-0935"},"institutions":[{"id":"https://openalex.org/I889458895","display_name":"University of Hong Kong","ror":"https://ror.org/02zhqgq86","country_code":"HK","type":"education","lineage":["https://openalex.org/I889458895"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Cong Yang","raw_affiliation_strings":["Advanced Modeling and Applied Computing, Department of Mathematics, The University of Hong Kong, Hong Kong. congyang0305@yahoo.com.cn","Advanced Modeling and Applied Computing, Department of Mathematics, The University of Hong Kong, Hong Kong"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Advanced Modeling and Applied Computing, Department of Mathematics, The University of Hong Kong, Hong Kong. congyang0305@yahoo.com.cn","institution_ids":["https://openalex.org/I889458895"]},{"raw_affiliation_string":"Advanced Modeling and Applied Computing, Department of Mathematics, The University of Hong Kong, Hong Kong","institution_ids":["https://openalex.org/I889458895"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5064877999","display_name":"Wai-Ki Ching","orcid":null},"institutions":[{"id":"https://openalex.org/I889458895","display_name":"University of Hong Kong","ror":"https://ror.org/02zhqgq86","country_code":"HK","type":"education","lineage":["https://openalex.org/I889458895"]}],"countries":["HK"],"is_corresponding":true,"raw_author_name":"Ching Wai-Ki","raw_affiliation_strings":["Advanced Modeling and Applied Computing, Department of Mathematics, The University of Hong Kong, Hong Kong"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Advanced Modeling and Applied Computing, Department of Mathematics, The University of Hong Kong, Hong Kong","institution_ids":["https://openalex.org/I889458895"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5021321930","display_name":"Tsing Nam-Kiu","orcid":null},"institutions":[{"id":"https://openalex.org/I889458895","display_name":"University of Hong Kong","ror":"https://ror.org/02zhqgq86","country_code":"HK","type":"education","lineage":["https://openalex.org/I889458895"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Tsing Nam-Kiu","raw_affiliation_strings":["Advanced Modeling and Applied Computing, Department of Mathematics, The University of Hong Kong, Hong Kong"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Advanced Modeling and Applied Computing, Department of Mathematics, The University of Hong Kong, Hong Kong","institution_ids":["https://openalex.org/I889458895"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5113671701","display_name":"Ho\u2010Yin Leung","orcid":null},"institutions":[{"id":"https://openalex.org/I889458895","display_name":"University of Hong Kong","ror":"https://ror.org/02zhqgq86","country_code":"HK","type":"education","lineage":["https://openalex.org/I889458895"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Leung Ho-Yin","raw_affiliation_strings":["Advanced Modeling and Applied Computing, Department of Mathematics, The University of Hong Kong, Hong Kong"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Advanced Modeling and Applied Computing, Department of Mathematics, The University of Hong Kong, Hong Kong","institution_ids":["https://openalex.org/I889458895"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5064877999"],"corresponding_institution_ids":["https://openalex.org/I889458895"],"apc_list":{"value":2290,"currency":"USD","value_usd":2290},"apc_paid":{"value":2290,"currency":"USD","value_usd":2290},"fwci":1.1201,"has_fulltext":true,"cited_by_count":20,"citation_normalized_percentile":{"value":0.76621204,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"4","issue":"S2","first_page":"S14","last_page":"S14"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10621","display_name":"Gene Regulatory Network Analysis","score":0.9957000017166138,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},"topics":[{"id":"https://openalex.org/T10621","display_name":"Gene Regulatory Network Analysis","score":0.9957000017166138,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T10932","display_name":"Microbial Metabolic Engineering and Bioproduction","score":0.0012000000569969416,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T12029","display_name":"DNA and Biological Computing","score":0.0003000000142492354,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/heuristic","display_name":"Heuristic","score":0.6652525663375854},{"id":"https://openalex.org/keywords/genetic-algorithm","display_name":"Genetic algorithm","score":0.62893146276474},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.599143922328949},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5864250063896179},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.5674371719360352},{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.563526451587677},{"id":"https://openalex.org/keywords/time-horizon","display_name":"Time horizon","score":0.5568015575408936},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.4523587226867676},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.45172566175460815},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.44469359517097473},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.26854410767555237},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.24008962512016296},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.12985029816627502}],"concepts":[{"id":"https://openalex.org/C173801870","wikidata":"https://www.wikidata.org/wiki/Q201413","display_name":"Heuristic","level":2,"score":0.6652525663375854},{"id":"https://openalex.org/C8880873","wikidata":"https://www.wikidata.org/wiki/Q187787","display_name":"Genetic algorithm","level":2,"score":0.62893146276474},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.599143922328949},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5864250063896179},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.5674371719360352},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.563526451587677},{"id":"https://openalex.org/C28761237","wikidata":"https://www.wikidata.org/wiki/Q7805321","display_name":"Time horizon","level":2,"score":0.5568015575408936},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.4523587226867676},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.45172566175460815},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.44469359517097473},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.26854410767555237},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.24008962512016296},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.12985029816627502}],"mesh":[{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D005786","descriptor_name":"Gene Expression Regulation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D005786","descriptor_name":"Gene Expression Regulation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D005786","descriptor_name":"Gene Expression Regulation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D005786","descriptor_name":"Gene Expression Regulation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D008957","descriptor_name":"Models, Genetic","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D008957","descriptor_name":"Models, Genetic","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D008957","descriptor_name":"Models, Genetic","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D008957","descriptor_name":"Models, Genetic","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D015233","descriptor_name":"Models, Statistical","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D015233","descriptor_name":"Models, Statistical","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D015233","descriptor_name":"Models, Statistical","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D015233","descriptor_name":"Models, Statistical","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D020342","descriptor_name":"Finite Element Analysis","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D020342","descriptor_name":"Finite Element Analysis","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D020342","descriptor_name":"Finite Element Analysis","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D020342","descriptor_name":"Finite Element Analysis","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D053263","descriptor_name":"Gene Regulatory Networks","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D053263","descriptor_name":"Gene Regulatory Networks","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D053263","descriptor_name":"Gene Regulatory Networks","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D053263","descriptor_name":"Gene Regulatory Networks","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true}],"locations_count":5,"locations":[{"id":"doi:10.1186/1752-0509-4-s2-s14","is_oa":true,"landing_page_url":"https://doi.org/10.1186/1752-0509-4-s2-s14","pdf_url":"https://link.springer.com/content/pdf/10.1186/1752-0509-4-S2-S14.pdf","source":{"id":"https://openalex.org/S92363890","display_name":"BMC Systems Biology","issn_l":"1752-0509","issn":["1752-0509"],"is_oa":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"BMC Systems Biology","raw_type":"journal-article"},{"id":"pmid:20840728","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/20840728","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"BMC systems biology","raw_type":null},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.330.4315","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.330.4315","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.aporc.org/LNOR/11/OSB2009F07.pdf","raw_type":"text"},{"id":"pmh:oai:doaj.org/article:fa27baf49e004a01a1d6e264b8fcaa47","is_oa":false,"landing_page_url":"https://doaj.org/article/fa27baf49e004a01a1d6e264b8fcaa47","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"BMC Systems Biology, Vol 4, Iss Suppl 2, p S14 (2010)","raw_type":"article"},{"id":"pmh:oai:pubmedcentral.nih.gov:2982688","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/2982688","pdf_url":null,"source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"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":"BMC Syst Biol","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.1186/1752-0509-4-s2-s14","is_oa":true,"landing_page_url":"https://doi.org/10.1186/1752-0509-4-s2-s14","pdf_url":"https://link.springer.com/content/pdf/10.1186/1752-0509-4-S2-S14.pdf","source":{"id":"https://openalex.org/S92363890","display_name":"BMC Systems Biology","issn_l":"1752-0509","issn":["1752-0509"],"is_oa":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"BMC Systems Biology","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4941990141","display_name":null,"funder_award_id":"10971075","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8679198844","display_name":null,"funder_award_id":"9151063101000021","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/W2152965497.pdf","grobid_xml":"https://content.openalex.org/works/W2152965497.grobid-xml"},"referenced_works_count":33,"referenced_works":["https://openalex.org/W270103414","https://openalex.org/W1532781952","https://openalex.org/W1560905088","https://openalex.org/W1969547738","https://openalex.org/W1971224531","https://openalex.org/W1987307299","https://openalex.org/W1990580084","https://openalex.org/W2001489471","https://openalex.org/W2010982261","https://openalex.org/W2020012456","https://openalex.org/W2030387392","https://openalex.org/W2058221907","https://openalex.org/W2065660771","https://openalex.org/W2070974284","https://openalex.org/W2077895748","https://openalex.org/W2086150890","https://openalex.org/W2090882632","https://openalex.org/W2095701698","https://openalex.org/W2104842841","https://openalex.org/W2107463319","https://openalex.org/W2108020239","https://openalex.org/W2118467699","https://openalex.org/W2126686769","https://openalex.org/W2127337389","https://openalex.org/W2130721915","https://openalex.org/W2131754626","https://openalex.org/W2132810680","https://openalex.org/W2134978629","https://openalex.org/W2160533336","https://openalex.org/W2160904474","https://openalex.org/W2168399023","https://openalex.org/W4245479598","https://openalex.org/W4388252848"],"related_works":["https://openalex.org/W1892002403","https://openalex.org/W4309005041","https://openalex.org/W2962746246","https://openalex.org/W1989531755","https://openalex.org/W1967384683","https://openalex.org/W2892237068","https://openalex.org/W2370815826","https://openalex.org/W1901119619","https://openalex.org/W2433057514","https://openalex.org/W2047206873"],"abstract_inverted_index":{"BACKGROUND:":[0],"Probabilistic":[1],"Boolean":[2],"Networks":[3],"(PBNs)":[4],"provide":[5,178,240],"a":[6,31,88,116,121,163,169,200,278],"convenient":[7],"tool":[8],"for":[9,186,214,287],"studying":[10],"genetic":[11,49,288],"regulatory":[12],"networks.":[13],"There":[14],"are":[15,135],"three":[16],"major":[17],"approaches":[18],"to":[19,30,156,207,261],"develop":[20,199],"intervention":[21,108,160,212,245],"strategies:":[22],"(1)":[23],"resetting":[24],"the":[25,28,37,44,48,54,65,69,75,93,107,139,152,175,180,187,191,209,221,251,256,262,275],"state":[26,34],"of":[27,47,68,83,91,95,126,166,190,216,264,290],"PBN":[29],"desirable":[32],"initial":[33],"and":[35,57,71],"letting":[36],"network":[38,50,70],"evolve":[39],"from":[40],"there,":[41],"(2)":[42],"changing":[43],"steady-state":[45],"behavior":[46],"by":[51,110],"minimally":[52],"altering":[53],"rule-based":[55],"structure":[56],"(3)":[58],"manipulating":[59,111],"external":[60,84,98,113],"control":[61,85,130,171,182,223,258,268],"variables":[62],"which":[63],"alter":[64],"transition":[66],"probabilities":[67],"therefore":[72],"desirably":[73],"affects":[74],"dynamic":[76],"evolution.":[77],"Many":[78],"literatures":[79],"study":[80],"various":[81],"types":[82],"problems,":[86],"with":[87,145,225],"common":[89],"drawback":[90],"ignoring":[92],"number":[94,165,263],"times":[96,127,167,265],"that":[97,128,168,266],"control(s)":[99],"can":[100,132,177,239,253],"be":[101,133],"applied.":[102],"RESULTS:":[103],"This":[104],"paper":[105],"studies":[106],"problem":[109,140,144,224,231],"multiple":[112,226],"controls":[114],"in":[115,120],"finite":[117],"time":[118],"interval":[119],"PBN.":[122],"The":[123,230,235],"maximum":[124],"numbers":[125],"each":[129],"method":[131,172,269],"applied":[134],"given.":[136,196],"We":[137,197],"treat":[138],"as":[141],"an":[142,150],"optimization":[143],"multi-constraints.":[146],"Here":[147],"we":[148],"introduce":[149],"algorithm,":[151],"\"Reserving":[153],"Place":[154,237],"Algorithm'',":[155],"find":[157,208,254],"all":[158,179,255],"optimal":[159,211,244],"strategies.":[161],"Given":[162],"fixed":[164],"certain":[170,267],"is":[173,194,228,233,270,285],"applied,":[174],"algorithm":[176,202,252,280],"sub-optimal":[181,257],"policies.":[183],"Theoretical":[184],"analysis":[185],"upper":[188],"bound":[189],"computational":[192,276],"cost":[193],"also":[195,198],"heuristic":[201,279],"based":[203,281],"on":[204,282],"Genetic":[205,283],"Algorithm,":[206],"possible":[210],"strategy":[213],"networks":[215,289],"large":[217,291],"size.":[218,292],"CONCLUSIONS:":[219],"Studying":[220],"finite-horizon":[222],"hard-constraints":[227],"meaningful.":[229],"proposed":[232,286],"NP-hard.":[234],"Reserving":[236],"Algorithm":[238,284],"more":[241],"than":[242],"one":[243],"strategies":[246,259],"if":[247],"there":[248],"are.":[249],"Moreover,":[250],"corresponding":[260],"conducted.":[271],"To":[272],"speed":[273],"up":[274],"time,":[277]},"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":4}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}