{"id":"https://openalex.org/W2568425740","doi":"https://doi.org/10.1109/cdc.2016.7799229","title":"An optimal randomized policy for controlling stochastic growth processes on lattices","display_name":"An optimal randomized policy for controlling stochastic growth processes on lattices","publication_year":2016,"publication_date":"2016-12-01","ids":{"openalex":"https://openalex.org/W2568425740","doi":"https://doi.org/10.1109/cdc.2016.7799229","mag":"2568425740"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2016.7799229","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2016.7799229","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 IEEE 55th Conference on Decision and Control (CDC)","raw_type":"proceedings-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/A5079592946","display_name":"Amith Somanath","orcid":null},"institutions":[{"id":"https://openalex.org/I63966007","display_name":"Massachusetts Institute of Technology","ror":"https://ror.org/042nb2s44","country_code":"US","type":"education","lineage":["https://openalex.org/I63966007"]},{"id":"https://openalex.org/I46020346","display_name":"American Institute of Aeronautics and Astronautics","ror":"https://ror.org/00a1rzv11","country_code":"US","type":"other","lineage":["https://openalex.org/I46020346"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Amith Somanath","raw_affiliation_strings":["Department of Aeronautics and Astronautics, Massachusetts Institute of Technology, Cambridge, MA"],"affiliations":[{"raw_affiliation_string":"Department of Aeronautics and Astronautics, Massachusetts Institute of Technology, Cambridge, MA","institution_ids":["https://openalex.org/I46020346","https://openalex.org/I63966007"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5081073767","display_name":"Serta\u00e7 Karaman","orcid":"https://orcid.org/0000-0002-2225-7275"},"institutions":[{"id":"https://openalex.org/I46020346","display_name":"American Institute of Aeronautics and Astronautics","ror":"https://ror.org/00a1rzv11","country_code":"US","type":"other","lineage":["https://openalex.org/I46020346"]},{"id":"https://openalex.org/I63966007","display_name":"Massachusetts Institute of Technology","ror":"https://ror.org/042nb2s44","country_code":"US","type":"education","lineage":["https://openalex.org/I63966007"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Sertac Karaman","raw_affiliation_strings":["Department of Aeronautics and Astronautics, Massachusetts Institute of Technology, Cambridge, MA"],"affiliations":[{"raw_affiliation_string":"Department of Aeronautics and Astronautics, Massachusetts Institute of Technology, Cambridge, MA","institution_ids":["https://openalex.org/I46020346","https://openalex.org/I63966007"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5079592946"],"corresponding_institution_ids":["https://openalex.org/I46020346","https://openalex.org/I63966007"],"apc_list":null,"apc_paid":null,"fwci":0.5504,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.69416965,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"31","issue":null,"first_page":"6240","last_page":"6245"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T10064","display_name":"Complex Network Analysis Techniques","score":0.9962999820709229,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12592","display_name":"Opinion Dynamics and Social Influence","score":0.9902999997138977,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5793894529342651},{"id":"https://openalex.org/keywords/grid","display_name":"Grid","score":0.5551177859306335},{"id":"https://openalex.org/keywords/stochastic-control","display_name":"Stochastic control","score":0.5462226271629333},{"id":"https://openalex.org/keywords/stochastic-process","display_name":"Stochastic process","score":0.5450364947319031},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.5328078269958496},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.5212146043777466},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5137056112289429},{"id":"https://openalex.org/keywords/lattice","display_name":"Lattice (music)","score":0.49449440836906433},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.49345484375953674},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.48523688316345215},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.34952062368392944},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.33161461353302},{"id":"https://openalex.org/keywords/distributed-computing","display_name":"Distributed computing","score":0.3206062912940979},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08200445771217346}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5793894529342651},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.5551177859306335},{"id":"https://openalex.org/C170131372","wikidata":"https://www.wikidata.org/wiki/Q7617811","display_name":"Stochastic control","level":3,"score":0.5462226271629333},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.5450364947319031},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.5328078269958496},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.5212146043777466},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5137056112289429},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.49449440836906433},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.49345484375953674},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.48523688316345215},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.34952062368392944},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.33161461353302},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.3206062912940979},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08200445771217346},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"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":1,"locations":[{"id":"doi:10.1109/cdc.2016.7799229","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2016.7799229","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 IEEE 55th Conference on Decision and Control (CDC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/3","display_name":"Good health and well-being","score":0.7599999904632568}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":36,"referenced_works":["https://openalex.org/W114870970","https://openalex.org/W121824094","https://openalex.org/W379337736","https://openalex.org/W934261879","https://openalex.org/W1526841711","https://openalex.org/W1562680357","https://openalex.org/W1569791555","https://openalex.org/W1606570959","https://openalex.org/W1670478556","https://openalex.org/W1860290714","https://openalex.org/W1975642142","https://openalex.org/W1976683712","https://openalex.org/W2017941507","https://openalex.org/W2031047649","https://openalex.org/W2034975570","https://openalex.org/W2038195874","https://openalex.org/W2065543353","https://openalex.org/W2068945922","https://openalex.org/W2087496472","https://openalex.org/W2124637492","https://openalex.org/W2142887429","https://openalex.org/W2148606196","https://openalex.org/W2161728228","https://openalex.org/W2169654725","https://openalex.org/W2232943036","https://openalex.org/W2725116736","https://openalex.org/W2760895942","https://openalex.org/W2963734869","https://openalex.org/W2977474616","https://openalex.org/W3122816536","https://openalex.org/W3122825116","https://openalex.org/W3142588439","https://openalex.org/W4243722672","https://openalex.org/W4250226066","https://openalex.org/W6634170495","https://openalex.org/W6667142262"],"related_works":["https://openalex.org/W2943897807","https://openalex.org/W3120484221","https://openalex.org/W4366198066","https://openalex.org/W3047748938","https://openalex.org/W2358522863","https://openalex.org/W3099285423","https://openalex.org/W278441094","https://openalex.org/W4386034604","https://openalex.org/W2336173978","https://openalex.org/W2951975737"],"abstract_inverted_index":{"The":[0,135],"control":[1,21,35,59,101,130,144,189],"of":[2,11,26,36,66,102,116,149,182,188],"stochastic":[3,37,119,168],"growth":[4,38,120,169],"processes":[5,39,121,170],"has":[6],"attracted":[7],"a":[8,63,81,106,114],"large":[9],"amount":[10],"interest":[12],"recently,":[13],"motivated,":[14],"for":[15,118,129],"instance,":[16],"by":[17,62],"the":[18,24,34,43,50,58,147,154,183,186],"desire":[19],"to":[20,73,90,140,161],"and":[22,124,175,185],"contain":[23],"spread":[25],"epidemic":[27],"diseases.":[28],"In":[29,109],"this":[30,110],"paper,":[31,44],"we":[32,45,112,125],"consider":[33],"on":[40,76,105,122,171],"lattices.":[41],"Throughout":[42],"present":[46],"our":[47,85],"results":[48,86,152],"using":[49],"forest":[51],"wildfire":[52],"as":[53,100],"an":[54],"example,":[55],"in":[56,80,180],"which":[57],"is":[60],"exerted":[61],"limited":[64],"number":[65],"autonomous":[67],"vehicles":[68],"that":[69,92,132,164],"can":[70],"be":[71],"assigned":[72],"extinguish":[74],"fires":[75],"individual":[77],"trees":[78],"planted":[79],"grid":[82],"formation.":[83],"However,":[84],"are":[87],"broadly":[88],"applicable":[89],"problems":[91],"involves":[93],"nodes":[94],"connected":[95],"into":[96],"lattice-like":[97],"structures,":[98],"such":[99],"transportation":[103],"networks":[104],"Manhattan":[107],"grid.":[108],"context,":[111],"define":[113],"notion":[115],"stability":[117],"lattices,":[123],"derive":[126],"analytical":[127],"bounds":[128],"effort":[131],"guarantees":[133],"stability.":[134],"lattice":[136],"structure":[137],"allows":[138],"us":[139],"analytically":[141],"characterize":[142],"stabilizing":[143],"policies":[145,163],"with":[146],"help":[148],"certain":[150],"recent":[151],"from":[153],"statistical":[155],"mechanics":[156],"literature.":[157],"This":[158],"analysis":[159],"leads":[160],"randomized":[162],"stabilize":[165],"originally":[166],"unstable":[167],"lattices":[172],"almost":[173],"surely,":[174],"guarantee":[176],"asymptotic":[177],"optimality":[178],"both":[179],"terms":[181],"allocation":[184],"utilization":[187],"effort.":[190]},"counts_by_year":[{"year":2019,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
