{"id":"https://openalex.org/W3047331873","doi":"https://doi.org/10.1109/access.2020.3014439","title":"Quickest Multistate Flow Networks With the Deterioration Effect","display_name":"Quickest Multistate Flow Networks With the Deterioration Effect","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W3047331873","doi":"https://doi.org/10.1109/access.2020.3014439","mag":"3047331873"},"language":"en","primary_location":{"id":"doi:10.1109/access.2020.3014439","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2020.3014439","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8948470/09159627.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://ieeexplore.ieee.org/ielx7/6287639/8948470/09159627.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5022394072","display_name":"Minfan He","orcid":null},"institutions":[{"id":"https://openalex.org/I111950717","display_name":"Macau University of Science and Technology","ror":"https://ror.org/03jqs2n27","country_code":"MO","type":"education","lineage":["https://openalex.org/I111950717","https://openalex.org/I4391767947"]},{"id":"https://openalex.org/I14894300","display_name":"Foshan University","ror":"https://ror.org/02xvvvp28","country_code":"CN","type":"education","lineage":["https://openalex.org/I14894300"]}],"countries":["CN","MO"],"is_corresponding":true,"raw_author_name":"Min-Fan He","raw_affiliation_strings":["Institute of Systems Engineering, Macau University of Science and Technology, Taipa, Macau","Schools of Mathematics and Big Data, Foshan University, Foshan, China"],"affiliations":[{"raw_affiliation_string":"Institute of Systems Engineering, Macau University of Science and Technology, Taipa, Macau","institution_ids":["https://openalex.org/I111950717"]},{"raw_affiliation_string":"Schools of Mathematics and Big Data, Foshan University, Foshan, China","institution_ids":["https://openalex.org/I14894300"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100396980","display_name":"Zhifeng Hao","orcid":"https://orcid.org/0000-0002-9257-2895"},"institutions":[{"id":"https://openalex.org/I14894300","display_name":"Foshan University","ror":"https://ror.org/02xvvvp28","country_code":"CN","type":"education","lineage":["https://openalex.org/I14894300"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhifeng Hao","raw_affiliation_strings":["Schools of Mathematics and Big Data, Foshan University, Foshan, China"],"affiliations":[{"raw_affiliation_string":"Schools of Mathematics and Big Data, Foshan University, Foshan, China","institution_ids":["https://openalex.org/I14894300"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5012456515","display_name":"Wei\u2010Chang Yeh","orcid":"https://orcid.org/0000-0001-7393-0768"},"institutions":[{"id":"https://openalex.org/I25846049","display_name":"National Tsing Hua University","ror":"https://ror.org/00zdnkx70","country_code":"TW","type":"education","lineage":["https://openalex.org/I25846049"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Wei-Chang Yeh","raw_affiliation_strings":["Department of Industrial Engineering and Engineering Management, National Tsing Hua University, Hsinchu City, Taiwan"],"affiliations":[{"raw_affiliation_string":"Department of Industrial Engineering and Engineering Management, National Tsing Hua University, Hsinchu City, Taiwan","institution_ids":["https://openalex.org/I25846049"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5023453353","display_name":"Chia-Chen Kuo","orcid":"https://orcid.org/0000-0002-7672-377X"},"institutions":[{"id":"https://openalex.org/I25846049","display_name":"National Tsing Hua University","ror":"https://ror.org/00zdnkx70","country_code":"TW","type":"education","lineage":["https://openalex.org/I25846049"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Chia-Chen Kuo","raw_affiliation_strings":["Department of Industrial Engineering and Engineering Management, National Tsing Hua University, Hsinchu City, Taiwan"],"affiliations":[{"raw_affiliation_string":"Department of Industrial Engineering and Engineering Management, National Tsing Hua University, Hsinchu City, Taiwan","institution_ids":["https://openalex.org/I25846049"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103216531","display_name":"Naixue Xiong","orcid":"https://orcid.org/0000-0002-0394-4635"},"institutions":[{"id":"https://openalex.org/I192664086","display_name":"Northeastern State University","ror":"https://ror.org/01z7kzb45","country_code":"US","type":"education","lineage":["https://openalex.org/I192664086"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Neal N. Xiong","raw_affiliation_strings":["Department of Mathematics and Computer Science, Northeastern State University, Tahlequah, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, Northeastern State University, Tahlequah, USA","institution_ids":["https://openalex.org/I192664086"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5017372589","display_name":"Yeou-Ren Shiue","orcid":"https://orcid.org/0000-0002-6406-3364"},"institutions":[{"id":"https://openalex.org/I4210107712","display_name":"Fujian Business University","ror":"https://ror.org/01mc04w21","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210107712"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yeou-Ren Shiue","raw_affiliation_strings":["Department of Management Engineering, Fujian Business University, Fuzhou, China"],"affiliations":[{"raw_affiliation_string":"Department of Management Engineering, Fujian Business University, Fuzhou, China","institution_ids":["https://openalex.org/I4210107712"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5022394072"],"corresponding_institution_ids":["https://openalex.org/I111950717","https://openalex.org/I14894300"],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":0.3809,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.60852937,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"8","issue":null,"first_page":"145535","last_page":"145541"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10780","display_name":"Reliability and Maintenance Optimization","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/2213","display_name":"Safety, Risk, Reliability and Quality"},"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/T10780","display_name":"Reliability and Maintenance Optimization","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/2213","display_name":"Safety, Risk, Reliability and Quality"},"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/T11357","display_name":"Risk and Safety Analysis","score":0.972599983215332,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T12423","display_name":"Software Reliability and Analysis Research","score":0.9531000256538391,"subfield":{"id":"https://openalex.org/subfields/1712","display_name":"Software"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/reliability","display_name":"Reliability (semiconductor)","score":0.6923040151596069},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6094917058944702},{"id":"https://openalex.org/keywords/path","display_name":"Path (computing)","score":0.5833593606948853},{"id":"https://openalex.org/keywords/flow-network","display_name":"Flow network","score":0.4882235825061798},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.4823440909385681},{"id":"https://openalex.org/keywords/economic-shortage","display_name":"Economic shortage","score":0.4696696698665619},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4347706437110901},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.37623924016952515},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3204286992549896},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2757416069507599},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.14301949739456177},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07342314720153809}],"concepts":[{"id":"https://openalex.org/C43214815","wikidata":"https://www.wikidata.org/wiki/Q7310987","display_name":"Reliability (semiconductor)","level":3,"score":0.6923040151596069},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6094917058944702},{"id":"https://openalex.org/C2777735758","wikidata":"https://www.wikidata.org/wiki/Q817765","display_name":"Path (computing)","level":2,"score":0.5833593606948853},{"id":"https://openalex.org/C114809511","wikidata":"https://www.wikidata.org/wiki/Q1412924","display_name":"Flow network","level":2,"score":0.4882235825061798},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.4823440909385681},{"id":"https://openalex.org/C194051981","wikidata":"https://www.wikidata.org/wiki/Q1337691","display_name":"Economic shortage","level":3,"score":0.4696696698665619},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4347706437110901},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.37623924016952515},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3204286992549896},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2757416069507599},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.14301949739456177},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07342314720153809},{"id":"https://openalex.org/C2778137410","wikidata":"https://www.wikidata.org/wiki/Q2732820","display_name":"Government (linguistics)","level":2,"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/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","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:10.1109/access.2020.3014439","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2020.3014439","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8948470/09159627.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:a673e710f9d7479299f5282dadf29cfa","is_oa":true,"landing_page_url":"https://doaj.org/article/a673e710f9d7479299f5282dadf29cfa","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Access, Vol 8, Pp 145535-145541 (2020)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2020.3014439","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2020.3014439","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8948470/09159627.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Life in Land","score":0.6499999761581421,"id":"https://metadata.un.org/sdg/15"}],"awards":[{"id":"https://openalex.org/G1012697394","display_name":null,"funder_award_id":"51537010","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G1231421488","display_name":null,"funder_award_id":"under","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G1705774720","display_name":null,"funder_award_id":"2221-E-007","funder_id":"https://openalex.org/F4320322795","funder_display_name":"Ministry of Science and Technology, Taiwan"},{"id":"https://openalex.org/G2087396116","display_name":null,"funder_award_id":"China","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2152572007","display_name":null,"funder_award_id":"6197605","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2387402289","display_name":null,"funder_award_id":"107-2221-E-007-072-MY3","funder_id":"https://openalex.org/F4320322795","funder_display_name":"Ministry of Science and Technology, Taiwan"},{"id":"https://openalex.org/G2503486912","display_name":null,"funder_award_id":"61976052","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2804646844","display_name":null,"funder_award_id":"MOST 107-2221-E-007-072-MY3","funder_id":"https://openalex.org/F4320322795","funder_display_name":"Ministry of Science and Technology, Taiwan"},{"id":"https://openalex.org/G3317480652","display_name":null,"funder_award_id":"Science","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3365722850","display_name":null,"funder_award_id":"MOST 10","funder_id":"https://openalex.org/F4320322795","funder_display_name":"Ministry of Science and Technology, Taiwan"},{"id":"https://openalex.org/G391238517","display_name":null,"funder_award_id":", and","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4162621379","display_name":null,"funder_award_id":"MOST 107","funder_id":"https://openalex.org/F4320322795","funder_display_name":"Ministry of Science and Technology, Taiwan"},{"id":"https://openalex.org/G4202958531","display_name":null,"funder_award_id":"MOST 107-","funder_id":"https://openalex.org/F4320322795","funder_display_name":"Ministry of Science and Technology, Taiwan"},{"id":"https://openalex.org/G5848258319","display_name":null,"funder_award_id":"0 and","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5939423041","display_name":null,"funder_award_id":"Technology","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5994120800","display_name":null,"funder_award_id":"Natural","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6905277076","display_name":null,"funder_award_id":"107-2","funder_id":"https://openalex.org/F4320322795","funder_display_name":"Ministry of Science and Technology, Taiwan"},{"id":"https://openalex.org/G7160539585","display_name":null,"funder_award_id":"Technology","funder_id":"https://openalex.org/F4320322795","funder_display_name":"Ministry of Science and Technology, Taiwan"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320322795","display_name":"Ministry of Science and Technology, Taiwan","ror":"https://ror.org/02kv4zf79"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3047331873.pdf","grobid_xml":"https://content.openalex.org/works/W3047331873.grobid-xml"},"referenced_works_count":34,"referenced_works":["https://openalex.org/W1550531993","https://openalex.org/W1967937764","https://openalex.org/W1969573308","https://openalex.org/W1971863084","https://openalex.org/W1994203631","https://openalex.org/W1994909604","https://openalex.org/W1996824380","https://openalex.org/W2013849980","https://openalex.org/W2014156227","https://openalex.org/W2019129092","https://openalex.org/W2022868549","https://openalex.org/W2057697326","https://openalex.org/W2064881562","https://openalex.org/W2075970690","https://openalex.org/W2090039005","https://openalex.org/W2092162762","https://openalex.org/W2095916892","https://openalex.org/W2102375886","https://openalex.org/W2112515691","https://openalex.org/W2114126595","https://openalex.org/W2114572907","https://openalex.org/W2134858346","https://openalex.org/W2174061118","https://openalex.org/W2175940139","https://openalex.org/W2254962438","https://openalex.org/W2474144238","https://openalex.org/W2552896552","https://openalex.org/W2799312308","https://openalex.org/W2912539634","https://openalex.org/W2977529085","https://openalex.org/W2983148762","https://openalex.org/W3119687213","https://openalex.org/W6691816601","https://openalex.org/W6776646051"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2579473328","https://openalex.org/W2509147714","https://openalex.org/W4239898203","https://openalex.org/W2586833044","https://openalex.org/W2603666417","https://openalex.org/W46955353","https://openalex.org/W2315021981","https://openalex.org/W2955295882","https://openalex.org/W2030030643"],"abstract_inverted_index":{"In":[0],"a":[1,15,26,42,50,82,88,143],"traditional":[2],"multistate":[3],"quickest":[4],"path":[5],"problem":[6],"(MQPP),":[7],"the":[8,19,46,55,64,73,94,113,120,123,140,146,160,170,181,184,198],"system":[9,27,114],"reliability":[10,182],"is":[11,28,67,103,110,117,164],"evaluated":[12],"based":[13,153],"on":[14,154],"strict":[16],"assumption":[17],"that":[18,122],"net":[20],"flow":[21,161],"into":[22],"and":[23],"out":[24],"of":[25,131,142,159,169,183,195,197],"equal":[29],"to":[30,45,85,111,166],"zero.":[31],"However,":[32],"certain":[33],"networks,":[34,40],"which":[35,70,116],"are":[36],"known":[37,92],"as":[38,93,119],"deteriorated":[39,95],"suffer":[41],"loss":[43],"due":[44],"deterioration":[47,147],"effect,":[48],"resulting":[49],"delivery":[51],"shortage.":[52],"For":[53],"example,":[54],"data":[56,75,132],"or":[57,61,76,133],"goods":[58,77,134],"will":[59],"deteriorate":[60],"decay":[62],"because":[63],"transmission":[65,136],"distance":[66],"too":[68],"long,":[69],"affects":[71],"whether":[72],"delivered":[74],"arrive":[78],"intact.":[79],"To":[80],"provide":[81],"practical":[83],"solution":[84],"this":[86,106],"problem,":[87],"novel":[89],"MQPP":[90,96,144,185],"model,":[91,102],"(MQPP":[97],"<sub":[98,176,186,201],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[99,177,187,202],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">de</sub>":[100,178,188,203],")":[101],"proposed":[104],"in":[105,135,139,193],"work.":[107],"The":[108],"goal":[109],"evaluate":[112],"reliability,":[115],"defined":[118],"probability":[121],"end":[124],"user":[125],"receives":[126],"at":[127],"least":[128],"d":[129],"units":[130],"time":[137],"T":[138],"case":[141],"with":[145],"effect.":[148],"A":[149],"simple":[150],"path-based":[151],"algorithm":[152],"an":[155],"integer":[156],"programming":[157],"model":[158,189],"conservation":[162],"law":[163],"presented":[165],"generate":[167],"all":[168,196],"lower":[171],"boundary":[172],"points":[173],"(d,":[174,199],"T)-MP":[175,200],"s.":[179,204],"Next,":[180],"can":[190],"be":[191],"calculated":[192],"terms":[194]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2026-04-13T07:58:08.660418","created_date":"2025-10-10T00:00:00"}