{"id":"https://openalex.org/W2765121512","doi":"https://doi.org/10.1080/13658816.2017.1395882","title":"A comparison of scenario-based hybrid bilevel and multi-objective location-allocation models for earthquake emergency shelters: a case study in the central area of Beijing, China","display_name":"A comparison of scenario-based hybrid bilevel and multi-objective location-allocation models for earthquake emergency shelters: a case study in the central area of Beijing, China","publication_year":2017,"publication_date":"2017-10-31","ids":{"openalex":"https://openalex.org/W2765121512","doi":"https://doi.org/10.1080/13658816.2017.1395882","mag":"2765121512"},"language":"en","primary_location":{"id":"doi:10.1080/13658816.2017.1395882","is_oa":false,"landing_page_url":"https://doi.org/10.1080/13658816.2017.1395882","pdf_url":null,"source":{"id":"https://openalex.org/S4210181446","display_name":"International Journal of Geographical Information Systems","issn_l":"0269-3798","issn":["0269-3798","1362-3087"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Geographical Information Science","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/A5037578357","display_name":"Wei Xu","orcid":"https://orcid.org/0000-0002-6912-9000"},"institutions":[{"id":"https://openalex.org/I25254941","display_name":"Beijing Normal University","ror":"https://ror.org/022k4wk35","country_code":"CN","type":"education","lineage":["https://openalex.org/I25254941"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Wei Xu","raw_affiliation_strings":["Academy of Disaster Reduction and Emergency Management, Faculty of Geographical Science, Beijing Normal University, Beijing, China","Key Laboratory of Environmental Change and Natural Disaster of Ministry of Education, Beijing Normal University, Beijing, China","State Key Laboratory of Earth Surface Processes and Resource Ecology, Beijing Normal University, Beijing China"],"affiliations":[{"raw_affiliation_string":"Academy of Disaster Reduction and Emergency Management, Faculty of Geographical Science, Beijing Normal University, Beijing, China","institution_ids":["https://openalex.org/I25254941"]},{"raw_affiliation_string":"Key Laboratory of Environmental Change and Natural Disaster of Ministry of Education, Beijing Normal University, Beijing, China","institution_ids":["https://openalex.org/I25254941"]},{"raw_affiliation_string":"State Key Laboratory of Earth Surface Processes and Resource Ecology, Beijing Normal University, Beijing China","institution_ids":["https://openalex.org/I25254941"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5078577184","display_name":"Yunjia Ma","orcid":"https://orcid.org/0000-0002-7856-9323"},"institutions":[{"id":"https://openalex.org/I25254941","display_name":"Beijing Normal University","ror":"https://ror.org/022k4wk35","country_code":"CN","type":"education","lineage":["https://openalex.org/I25254941"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yunjia Ma","raw_affiliation_strings":["Academy of Disaster Reduction and Emergency Management, Faculty of Geographical Science, Beijing Normal University, Beijing, China","Key Laboratory of Environmental Change and Natural Disaster of Ministry of Education, Beijing Normal University, Beijing, China","State Key Laboratory of Earth Surface Processes and Resource Ecology, Beijing Normal University, Beijing China"],"affiliations":[{"raw_affiliation_string":"Academy of Disaster Reduction and Emergency Management, Faculty of Geographical Science, Beijing Normal University, Beijing, China","institution_ids":["https://openalex.org/I25254941"]},{"raw_affiliation_string":"Key Laboratory of Environmental Change and Natural Disaster of Ministry of Education, Beijing Normal University, Beijing, China","institution_ids":["https://openalex.org/I25254941"]},{"raw_affiliation_string":"State Key Laboratory of Earth Surface Processes and Resource Ecology, Beijing Normal University, Beijing China","institution_ids":["https://openalex.org/I25254941"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5087359677","display_name":"Xiujuan Zhao","orcid":"https://orcid.org/0000-0002-6650-5728"},"institutions":[{"id":"https://openalex.org/I25254941","display_name":"Beijing Normal University","ror":"https://ror.org/022k4wk35","country_code":"CN","type":"education","lineage":["https://openalex.org/I25254941"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiujuan Zhao","raw_affiliation_strings":["Academy of Disaster Reduction and Emergency Management, Faculty of Geographical Science, Beijing Normal University, Beijing, China","Key Laboratory of Environmental Change and Natural Disaster of Ministry of Education, Beijing Normal University, Beijing, China","State Key Laboratory of Earth Surface Processes and Resource Ecology, Beijing Normal University, Beijing China"],"affiliations":[{"raw_affiliation_string":"Academy of Disaster Reduction and Emergency Management, Faculty of Geographical Science, Beijing Normal University, Beijing, China","institution_ids":["https://openalex.org/I25254941"]},{"raw_affiliation_string":"Key Laboratory of Environmental Change and Natural Disaster of Ministry of Education, Beijing Normal University, Beijing, China","institution_ids":["https://openalex.org/I25254941"]},{"raw_affiliation_string":"State Key Laboratory of Earth Surface Processes and Resource Ecology, Beijing Normal University, Beijing China","institution_ids":["https://openalex.org/I25254941"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100414445","display_name":"Ying Li","orcid":"https://orcid.org/0000-0003-3178-2079"},"institutions":[{"id":"https://openalex.org/I25254941","display_name":"Beijing Normal University","ror":"https://ror.org/022k4wk35","country_code":"CN","type":"education","lineage":["https://openalex.org/I25254941"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ying Li","raw_affiliation_strings":["Academy of Disaster Reduction and Emergency Management, Faculty of Geographical Science, Beijing Normal University, Beijing, China","Key Laboratory of Environmental Change and Natural Disaster of Ministry of Education, Beijing Normal University, Beijing, China","State Key Laboratory of Earth Surface Processes and Resource Ecology, Beijing Normal University, Beijing China"],"affiliations":[{"raw_affiliation_string":"Academy of Disaster Reduction and Emergency Management, Faculty of Geographical Science, Beijing Normal University, Beijing, China","institution_ids":["https://openalex.org/I25254941"]},{"raw_affiliation_string":"Key Laboratory of Environmental Change and Natural Disaster of Ministry of Education, Beijing Normal University, Beijing, China","institution_ids":["https://openalex.org/I25254941"]},{"raw_affiliation_string":"State Key Laboratory of Earth Surface Processes and Resource Ecology, Beijing Normal University, Beijing China","institution_ids":["https://openalex.org/I25254941"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5091444599","display_name":"Lianjie Qin","orcid":"https://orcid.org/0000-0002-3581-3752"},"institutions":[{"id":"https://openalex.org/I25254941","display_name":"Beijing Normal University","ror":"https://ror.org/022k4wk35","country_code":"CN","type":"education","lineage":["https://openalex.org/I25254941"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Lianjie Qin","raw_affiliation_strings":["Academy of Disaster Reduction and Emergency Management, Faculty of Geographical Science, Beijing Normal University, Beijing, China","Key Laboratory of Environmental Change and Natural Disaster of Ministry of Education, Beijing Normal University, Beijing, China","State Key Laboratory of Earth Surface Processes and Resource Ecology, Beijing Normal University, Beijing China"],"affiliations":[{"raw_affiliation_string":"Academy of Disaster Reduction and Emergency Management, Faculty of Geographical Science, Beijing Normal University, Beijing, China","institution_ids":["https://openalex.org/I25254941"]},{"raw_affiliation_string":"Key Laboratory of Environmental Change and Natural Disaster of Ministry of Education, Beijing Normal University, Beijing, China","institution_ids":["https://openalex.org/I25254941"]},{"raw_affiliation_string":"State Key Laboratory of Earth Surface Processes and Resource Ecology, Beijing Normal University, Beijing China","institution_ids":["https://openalex.org/I25254941"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101592510","display_name":"Juan Du","orcid":"https://orcid.org/0000-0003-1500-8163"},"institutions":[{"id":"https://openalex.org/I25254941","display_name":"Beijing Normal University","ror":"https://ror.org/022k4wk35","country_code":"CN","type":"education","lineage":["https://openalex.org/I25254941"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Juan Du","raw_affiliation_strings":["Academy of Disaster Reduction and Emergency Management, Faculty of Geographical Science, Beijing Normal University, Beijing, China","Key Laboratory of Environmental Change and Natural Disaster of Ministry of Education, Beijing Normal University, Beijing, China","State Key Laboratory of Earth Surface Processes and Resource Ecology, Beijing Normal University, Beijing China"],"affiliations":[{"raw_affiliation_string":"Academy of Disaster Reduction and Emergency Management, Faculty of Geographical Science, Beijing Normal University, Beijing, China","institution_ids":["https://openalex.org/I25254941"]},{"raw_affiliation_string":"Key Laboratory of Environmental Change and Natural Disaster of Ministry of Education, Beijing Normal University, Beijing, China","institution_ids":["https://openalex.org/I25254941"]},{"raw_affiliation_string":"State Key Laboratory of Earth Surface Processes and Resource Ecology, Beijing Normal University, Beijing China","institution_ids":["https://openalex.org/I25254941"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5037578357"],"corresponding_institution_ids":["https://openalex.org/I25254941"],"apc_list":null,"apc_paid":null,"fwci":6.9736,"has_fulltext":false,"cited_by_count":54,"citation_normalized_percentile":{"value":0.96676534,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"32","issue":"2","first_page":"236","last_page":"256"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11502","display_name":"Facility Location and Emergency Management","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/1407","display_name":"Organizational Behavior and Human Resource Management"},"field":{"id":"https://openalex.org/fields/14","display_name":"Business, Management and Accounting"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T11502","display_name":"Facility Location and Emergency Management","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/1407","display_name":"Organizational Behavior and Human Resource Management"},"field":{"id":"https://openalex.org/fields/14","display_name":"Business, Management and Accounting"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11500","display_name":"Evacuation and Crowd Dynamics","score":0.9961000084877014,"subfield":{"id":"https://openalex.org/subfields/2212","display_name":"Ocean 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/T12147","display_name":"Urban and Rural Development Challenges","score":0.9528999924659729,"subfield":{"id":"https://openalex.org/subfields/3322","display_name":"Urban Studies"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/beijing","display_name":"Beijing","score":0.7081719636917114},{"id":"https://openalex.org/keywords/particle-swarm-optimization","display_name":"Particle swarm optimization","score":0.6630849838256836},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5851608514785767},{"id":"https://openalex.org/keywords/population","display_name":"Population","score":0.5010998249053955},{"id":"https://openalex.org/keywords/simulated-annealing","display_name":"Simulated annealing","score":0.5005948543548584},{"id":"https://openalex.org/keywords/bilevel-optimization","display_name":"Bilevel optimization","score":0.4866850972175598},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4518548548221588},{"id":"https://openalex.org/keywords/emergency-management","display_name":"Emergency management","score":0.4390202760696411},{"id":"https://openalex.org/keywords/operations-research","display_name":"Operations research","score":0.41489654779434204},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.2853151559829712},{"id":"https://openalex.org/keywords/geography","display_name":"Geography","score":0.21005156636238098},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.20863047242164612},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.12964177131652832},{"id":"https://openalex.org/keywords/china","display_name":"China","score":0.12007829546928406},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.09882274270057678}],"concepts":[{"id":"https://openalex.org/C2778304055","wikidata":"https://www.wikidata.org/wiki/Q657474","display_name":"Beijing","level":3,"score":0.7081719636917114},{"id":"https://openalex.org/C85617194","wikidata":"https://www.wikidata.org/wiki/Q2072794","display_name":"Particle swarm optimization","level":2,"score":0.6630849838256836},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5851608514785767},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.5010998249053955},{"id":"https://openalex.org/C126980161","wikidata":"https://www.wikidata.org/wiki/Q863783","display_name":"Simulated annealing","level":2,"score":0.5005948543548584},{"id":"https://openalex.org/C3309286","wikidata":"https://www.wikidata.org/wiki/Q4907693","display_name":"Bilevel optimization","level":3,"score":0.4866850972175598},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4518548548221588},{"id":"https://openalex.org/C62555980","wikidata":"https://www.wikidata.org/wiki/Q1460420","display_name":"Emergency management","level":2,"score":0.4390202760696411},{"id":"https://openalex.org/C42475967","wikidata":"https://www.wikidata.org/wiki/Q194292","display_name":"Operations research","level":1,"score":0.41489654779434204},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.2853151559829712},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.21005156636238098},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.20863047242164612},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.12964177131652832},{"id":"https://openalex.org/C191935318","wikidata":"https://www.wikidata.org/wiki/Q148","display_name":"China","level":2,"score":0.12007829546928406},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.09882274270057678},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","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/C166957645","wikidata":"https://www.wikidata.org/wiki/Q23498","display_name":"Archaeology","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/13658816.2017.1395882","is_oa":false,"landing_page_url":"https://doi.org/10.1080/13658816.2017.1395882","pdf_url":null,"source":{"id":"https://openalex.org/S4210181446","display_name":"International Journal of Geographical Information Systems","issn_l":"0269-3798","issn":["0269-3798","1362-3087"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Geographical Information Science","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities","score":0.6200000047683716}],"awards":[{"id":"https://openalex.org/G428093488","display_name":null,"funder_award_id":"41201547","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7478195017","display_name":null,"funder_award_id":"B08008","funder_id":"https://openalex.org/F4320321978","funder_display_name":"State Administration of Foreign Experts Affairs"},{"id":"https://openalex.org/G7765784893","display_name":null,"funder_award_id":"2016YFA0602404","funder_id":"https://openalex.org/F4320321540","funder_display_name":"Ministry of Science and Technology of the People's Republic of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321540","display_name":"Ministry of Science and Technology of the People's Republic of China","ror":"https://ror.org/027s68j25"},{"id":"https://openalex.org/F4320321978","display_name":"State Administration of Foreign Experts Affairs","ror":"https://ror.org/055gka453"},{"id":"https://openalex.org/F4320335777","display_name":"National Key Research and Development Program of China","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W1560471832","https://openalex.org/W1978175905","https://openalex.org/W1986333656","https://openalex.org/W1988423736","https://openalex.org/W2000152514","https://openalex.org/W2000957034","https://openalex.org/W2014252819","https://openalex.org/W2028697859","https://openalex.org/W2028813093","https://openalex.org/W2038548606","https://openalex.org/W2038933051","https://openalex.org/W2048663027","https://openalex.org/W2061632391","https://openalex.org/W2070280024","https://openalex.org/W2086384226","https://openalex.org/W2093507183","https://openalex.org/W2097333884","https://openalex.org/W2107900457","https://openalex.org/W2149285858","https://openalex.org/W2191202872","https://openalex.org/W2242135340","https://openalex.org/W2290483811","https://openalex.org/W2367125780","https://openalex.org/W2382497448","https://openalex.org/W2962816264","https://openalex.org/W2963688815","https://openalex.org/W3003219087","https://openalex.org/W3013303963","https://openalex.org/W3149031343","https://openalex.org/W4230245442","https://openalex.org/W4255644380"],"related_works":["https://openalex.org/W2015747722","https://openalex.org/W2362050182","https://openalex.org/W2382418233","https://openalex.org/W2369897927","https://openalex.org/W3031731056","https://openalex.org/W4293167957","https://openalex.org/W2361035307","https://openalex.org/W2380455807","https://openalex.org/W2993975634","https://openalex.org/W2367835030"],"abstract_inverted_index":{"The":[0,180,208,275],"accurate":[1],"location":[2,43,205],"and":[3,16,37,44,64,117,131,164,169,198,206,218,232,239,289,306],"allocation":[4,45],"of":[5,12,47,60,67,84,122,128,183,196,266,303,311],"disaster":[6],"emergency":[7,17,49,140,203],"shelters":[8,312],"are":[9,70],"key":[10],"components":[11],"effective":[13],"urban":[14],"planning":[15,310],"management.":[18],"Various":[19],"models":[20,46,78,176],"have":[21],"been":[22],"developed":[23],"to":[24,34,54,62,114,156,222,282],"solve":[25],"the":[26,41,65,77,86,90,111,126,160,170,174,184,187,193,212,223,226,236,244,252,264,267,290,301,304,309],"location-allocation":[27,136,268],"problem,":[28],"but":[29],"gaps":[30],"remain":[31],"with":[32,52,96,149,247],"regard":[33],"model":[35,108,163,190,255,279],"realism":[36,123],"associated":[38],"applicability.":[39],"For":[40],"available":[42],"earthquake":[48,55,132,139,202],"shelters,":[50],"uncertainty":[51],"respect":[53],"hazard,":[56],"population":[57,129],"exposure,":[58],"rate":[59],"damage":[61,133],"buildings":[63],"effects":[66],"evacuee":[68],"behavior":[69],"often":[71],"neglected":[72],"or":[73],"oversimplified.":[74],"Moreover,":[75],"modifying":[76],"can":[79,293],"be":[80,283,294],"an":[81],"alternative":[82],"means":[83],"improving":[85],"solution":[87],"quality":[88],"when":[89],"optimization":[91,146,227],"algorithm":[92,147,153,228],"has":[93],"difficulty":[94],"coping":[95],"a":[97,104,119,150,165,272,297],"complex,":[98],"high-dimensional":[99,115],"problem.":[100],"This":[101],"article":[102],"develops":[103],"scenario-based":[105],"hybrid":[106,161,188,253,277],"bilevel":[107,162,189,254,278],"that":[109,191,211],"addresses":[110],"concerns":[112],"related":[113],"complexity":[116],"provides":[118],"higher":[120],"degree":[121],"by":[124],"incorporating":[125],"uncertainties":[127],"dynamics":[130],"scenarios":[134,246],"into":[135],"problems":[137],"for":[138,201,285,299],"shelters.":[141],"A":[142],"modified":[143],"particle":[144],"swarm":[145],"combined":[148],"simulated":[151],"annealing":[152],"was":[154],"applied":[155,221],"derive":[157],"solutions":[158,171,213,242],"using":[159,173],"conventional":[166],"multi-objective":[167,224],"model,":[168,225],"obtained":[172],"two":[175],"were":[177],"then":[178],"compared.":[179],"novel":[181],"features":[182],"study":[185],"include":[186],"considers":[192],"dynamic":[194],"number":[195],"evacuees":[197],"its":[199],"implementation":[200],"shelter":[204,287],"allocation.":[207],"results":[209,292],"show":[210],"significantly":[214,262],"differ":[215],"between":[216],"daytime":[217],"nighttime.":[219],"When":[220],"is":[229,280],"time":[230],"consuming":[231],"may":[233],"only":[234],"find":[235],"local":[237],"optima":[238],"provide":[240],"suboptimal":[241],"in":[243,313],"considered":[245],"more":[248,257],"evacuees.":[249],"By":[250],"contrast,":[251],"shows":[256],"desirable":[258],"performance":[259],"because":[260],"it":[261],"reduces":[263],"dimensionality":[265],"problem":[269],"based":[270],"on":[271],"two-step-to-reach":[273],"approach.":[274],"proposed":[276],"proven":[281],"useful":[284],"optimal":[286],"allocation,":[288],"presented":[291],"used":[295],"as":[296],"reference":[298],"balancing":[300],"interests":[302],"government":[305],"residents":[307],"during":[308],"Beijing.":[314]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":8},{"year":2023,"cited_by_count":7},{"year":2022,"cited_by_count":13},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":8},{"year":2019,"cited_by_count":7},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}