{"id":"https://openalex.org/W3201871169","doi":"https://doi.org/10.1109/tac.2022.3146055","title":"On the Sensitivity of Linear Resource Sharing Problems to the Arrival of New Agents","display_name":"On the Sensitivity of Linear Resource Sharing Problems to the Arrival of New Agents","publication_year":2022,"publication_date":"2022-01-25","ids":{"openalex":"https://openalex.org/W3201871169","doi":"https://doi.org/10.1109/tac.2022.3146055","mag":"3201871169"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2022.3146055","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2022.3146055","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"is_oa":false,"is_in_doaj":false,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://re.public.polimi.it/bitstream/11311/1205214/2/LP_sensitivity.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5057980054","display_name":"Alessandro Falsone","orcid":"https://orcid.org/0000-0002-2335-1490"},"institutions":[{"id":"https://openalex.org/I40120149","display_name":"University of Oxford","ror":"https://ror.org/052gg0110","country_code":"GB","type":"education","lineage":["https://openalex.org/I40120149"]},{"id":"https://openalex.org/I93860229","display_name":"Politecnico di Milano","ror":"https://ror.org/01nffqt88","country_code":"IT","type":"education","lineage":["https://openalex.org/I93860229"]}],"countries":["GB","IT"],"is_corresponding":false,"raw_author_name":"Alessandro Falsone","raw_affiliation_strings":["Dipartimento di Elettronica, Informazione e Bioingegneria, Politecnico di Milano, Milano, Italy","Department of Engineering Science, University of Oxford, Parks Road, Oxford, OX1 3PJ, United Kingdom","Dipartimento di Elettronica, Informazione e Bioingegneria, Politecnico di Milano, Via Ponzio 34/5, 20133 Milano, Italy"],"raw_orcid":"https://orcid.org/0000-0002-2335-1490","affiliations":[{"raw_affiliation_string":"Dipartimento di Elettronica, Informazione e Bioingegneria, Politecnico di Milano, Milano, Italy","institution_ids":["https://openalex.org/I93860229"]},{"raw_affiliation_string":"Department of Engineering Science, University of Oxford, Parks Road, Oxford, OX1 3PJ, United Kingdom","institution_ids":["https://openalex.org/I40120149"]},{"raw_affiliation_string":"Dipartimento di Elettronica, Informazione e Bioingegneria, Politecnico di Milano, Via Ponzio 34/5, 20133 Milano, Italy","institution_ids":["https://openalex.org/I93860229"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5000801527","display_name":"Kostas Margellos","orcid":"https://orcid.org/0000-0001-8865-8568"},"institutions":[{"id":"https://openalex.org/I40120149","display_name":"University of Oxford","ror":"https://ror.org/052gg0110","country_code":"GB","type":"education","lineage":["https://openalex.org/I40120149"]},{"id":"https://openalex.org/I93860229","display_name":"Politecnico di Milano","ror":"https://ror.org/01nffqt88","country_code":"IT","type":"education","lineage":["https://openalex.org/I93860229"]}],"countries":["GB","IT"],"is_corresponding":false,"raw_author_name":"Kostas Margellos","raw_affiliation_strings":["Department of Engineering Science, University of Oxford, Oxford, U.K","Department of Engineering Science, University of Oxford, Parks Road, Oxford, OX1 3PJ, United Kingdom","Dipartimento di Elettronica, Informazione e Bioingegneria, Politecnico di Milano, Via Ponzio 34/5, 20133 Milano, Italy"],"raw_orcid":"https://orcid.org/0000-0001-8865-8568","affiliations":[{"raw_affiliation_string":"Department of Engineering Science, University of Oxford, Oxford, U.K","institution_ids":["https://openalex.org/I40120149"]},{"raw_affiliation_string":"Department of Engineering Science, University of Oxford, Parks Road, Oxford, OX1 3PJ, United Kingdom","institution_ids":["https://openalex.org/I40120149"]},{"raw_affiliation_string":"Dipartimento di Elettronica, Informazione e Bioingegneria, Politecnico di Milano, Via Ponzio 34/5, 20133 Milano, Italy","institution_ids":["https://openalex.org/I93860229"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5040513197","display_name":"Jacopo Zizzo","orcid":"https://orcid.org/0000-0001-6510-8539"},"institutions":[{"id":"https://openalex.org/I40120149","display_name":"University of Oxford","ror":"https://ror.org/052gg0110","country_code":"GB","type":"education","lineage":["https://openalex.org/I40120149"]},{"id":"https://openalex.org/I93860229","display_name":"Politecnico di Milano","ror":"https://ror.org/01nffqt88","country_code":"IT","type":"education","lineage":["https://openalex.org/I93860229"]}],"countries":["GB","IT"],"is_corresponding":false,"raw_author_name":"Jacopo Zizzo","raw_affiliation_strings":["Dipartimento di Elettronica, Informazione e Bioingegneria, Politecnico di Milano, Milano, Italy","Department of Engineering Science, University of Oxford, Parks Road, Oxford, OX1 3PJ, United Kingdom","Dipartimento di Elettronica, Informazione e Bioingegneria, Politecnico di Milano, Via Ponzio 34/5, 20133 Milano, Italy"],"raw_orcid":"https://orcid.org/0000-0001-6510-8539","affiliations":[{"raw_affiliation_string":"Dipartimento di Elettronica, Informazione e Bioingegneria, Politecnico di Milano, Milano, Italy","institution_ids":["https://openalex.org/I93860229"]},{"raw_affiliation_string":"Department of Engineering Science, University of Oxford, Parks Road, Oxford, OX1 3PJ, United Kingdom","institution_ids":["https://openalex.org/I40120149"]},{"raw_affiliation_string":"Dipartimento di Elettronica, Informazione e Bioingegneria, Politecnico di Milano, Via Ponzio 34/5, 20133 Milano, Italy","institution_ids":["https://openalex.org/I93860229"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5060251698","display_name":"Maria Prandini","orcid":"https://orcid.org/0000-0001-7443-4117"},"institutions":[{"id":"https://openalex.org/I40120149","display_name":"University of Oxford","ror":"https://ror.org/052gg0110","country_code":"GB","type":"education","lineage":["https://openalex.org/I40120149"]},{"id":"https://openalex.org/I93860229","display_name":"Politecnico di Milano","ror":"https://ror.org/01nffqt88","country_code":"IT","type":"education","lineage":["https://openalex.org/I93860229"]}],"countries":["GB","IT"],"is_corresponding":false,"raw_author_name":"Maria Prandini","raw_affiliation_strings":["Dipartimento di Elettronica, Informazione e Bioingegneria, Politecnico di Milano, Milano, Italy","Dipartimento di Elettronica, Informazione e Bioingegneria, Politecnico di Milano, Via Ponzio 34/5, 20133 Milano, Italy","Department of Engineering Science, University of Oxford, Parks Road, Oxford, OX1 3PJ, United Kingdom"],"raw_orcid":"https://orcid.org/0000-0001-7443-4117","affiliations":[{"raw_affiliation_string":"Dipartimento di Elettronica, Informazione e Bioingegneria, Politecnico di Milano, Milano, Italy","institution_ids":["https://openalex.org/I93860229"]},{"raw_affiliation_string":"Dipartimento di Elettronica, Informazione e Bioingegneria, Politecnico di Milano, Via Ponzio 34/5, 20133 Milano, Italy","institution_ids":["https://openalex.org/I93860229"]},{"raw_affiliation_string":"Department of Engineering Science, University of Oxford, Parks Road, Oxford, OX1 3PJ, United Kingdom","institution_ids":["https://openalex.org/I40120149"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5080248970","display_name":"Simone Garatti","orcid":"https://orcid.org/0000-0002-5451-6892"},"institutions":[{"id":"https://openalex.org/I40120149","display_name":"University of Oxford","ror":"https://ror.org/052gg0110","country_code":"GB","type":"education","lineage":["https://openalex.org/I40120149"]},{"id":"https://openalex.org/I93860229","display_name":"Politecnico di Milano","ror":"https://ror.org/01nffqt88","country_code":"IT","type":"education","lineage":["https://openalex.org/I93860229"]}],"countries":["GB","IT"],"is_corresponding":false,"raw_author_name":"Simone Garatti","raw_affiliation_strings":["Dipartimento di Elettronica, Informazione e Bioingegneria, Politecnico di Milano, Milano, Italy","Dipartimento di Elettronica, Informazione e Bioingegneria, Politecnico di Milano, Via Ponzio 34/5, 20133 Milano, Italy","Department of Engineering Science, University of Oxford, Parks Road, Oxford, OX1 3PJ, United Kingdom"],"raw_orcid":"https://orcid.org/0000-0002-5451-6892","affiliations":[{"raw_affiliation_string":"Dipartimento di Elettronica, Informazione e Bioingegneria, Politecnico di Milano, Milano, Italy","institution_ids":["https://openalex.org/I93860229"]},{"raw_affiliation_string":"Dipartimento di Elettronica, Informazione e Bioingegneria, Politecnico di Milano, Via Ponzio 34/5, 20133 Milano, Italy","institution_ids":["https://openalex.org/I93860229"]},{"raw_affiliation_string":"Department of Engineering Science, University of Oxford, Parks Road, Oxford, OX1 3PJ, United Kingdom","institution_ids":["https://openalex.org/I40120149"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.8556,"has_fulltext":true,"cited_by_count":7,"citation_normalized_percentile":{"value":0.73436587,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"68","issue":"1","first_page":"272","last_page":"284"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12288","display_name":"Optimization and Search Problems","score":0.9961000084877014,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T12288","display_name":"Optimization and Search Problems","score":0.9961000084877014,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T11942","display_name":"Transportation and Mobility Innovations","score":0.9943000078201294,"subfield":{"id":"https://openalex.org/subfields/2203","display_name":"Automotive 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/T10567","display_name":"Vehicle Routing Optimization Methods","score":0.9901000261306763,"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/stochastic-game","display_name":"Stochastic game","score":0.6819512248039246},{"id":"https://openalex.org/keywords/sensitivity","display_name":"Sensitivity (control systems)","score":0.670162558555603},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5932806730270386},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5755176544189453},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.5575171113014221},{"id":"https://openalex.org/keywords/resource-allocation","display_name":"Resource allocation","score":0.5109178423881531},{"id":"https://openalex.org/keywords/shared-resource","display_name":"Shared resource","score":0.49721553921699524},{"id":"https://openalex.org/keywords/population","display_name":"Population","score":0.4951910078525543},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.4471898674964905},{"id":"https://openalex.org/keywords/resource","display_name":"Resource (disambiguation)","score":0.4434100091457367},{"id":"https://openalex.org/keywords/multi-agent-system","display_name":"Multi-agent system","score":0.43775802850723267},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.21021398901939392},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.11282727122306824},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.10204067826271057},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.09263882040977478},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.06914722919464111}],"concepts":[{"id":"https://openalex.org/C22171661","wikidata":"https://www.wikidata.org/wiki/Q1074380","display_name":"Stochastic game","level":2,"score":0.6819512248039246},{"id":"https://openalex.org/C21200559","wikidata":"https://www.wikidata.org/wiki/Q7451068","display_name":"Sensitivity (control systems)","level":2,"score":0.670162558555603},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5932806730270386},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5755176544189453},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.5575171113014221},{"id":"https://openalex.org/C29202148","wikidata":"https://www.wikidata.org/wiki/Q287260","display_name":"Resource allocation","level":2,"score":0.5109178423881531},{"id":"https://openalex.org/C51332947","wikidata":"https://www.wikidata.org/wiki/Q1172305","display_name":"Shared resource","level":2,"score":0.49721553921699524},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.4951910078525543},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.4471898674964905},{"id":"https://openalex.org/C206345919","wikidata":"https://www.wikidata.org/wiki/Q20380951","display_name":"Resource (disambiguation)","level":2,"score":0.4434100091457367},{"id":"https://openalex.org/C41550386","wikidata":"https://www.wikidata.org/wiki/Q529909","display_name":"Multi-agent system","level":2,"score":0.43775802850723267},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.21021398901939392},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.11282727122306824},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.10204067826271057},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.09263882040977478},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.06914722919464111},{"id":"https://openalex.org/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","level":1,"score":0.0},{"id":"https://openalex.org/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","level":1,"score":0.0},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","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}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/tac.2022.3146055","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2022.3146055","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"is_oa":false,"is_in_doaj":false,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","raw_type":"journal-article"},{"id":"pmh:oai:re.public.polimi.it:11311/1205214","is_oa":true,"landing_page_url":"https://hdl.handle.net/11311/1205214","pdf_url":"https://re.public.polimi.it/bitstream/11311/1205214/2/LP_sensitivity.pdf","source":{"id":"https://openalex.org/S4306400312","display_name":"Virtual Community of Pathological Anatomy (University of Castilla La Mancha)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I79189158","host_organization_name":"University of Castilla-La Mancha","host_organization_lineage":["https://openalex.org/I79189158"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:ora.ox.ac.uk:uuid:929e9f8e-a5db-4438-9107-a4b843cc33fd","is_oa":false,"landing_page_url":"https://ora.ox.ac.uk/objects/uuid:929e9f8e-a5db-4438-9107-a4b843cc33fd","pdf_url":null,"source":{"id":"https://openalex.org/S4306402636","display_name":"Oxford University Research Archive (ORA) (University of Oxford)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I40120149","host_organization_name":"University of Oxford","host_organization_lineage":["https://openalex.org/I40120149"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symplectic Elements","raw_type":"Journal article"}],"best_oa_location":{"id":"pmh:oai:re.public.polimi.it:11311/1205214","is_oa":true,"landing_page_url":"https://hdl.handle.net/11311/1205214","pdf_url":"https://re.public.polimi.it/bitstream/11311/1205214/2/LP_sensitivity.pdf","source":{"id":"https://openalex.org/S4306400312","display_name":"Virtual Community of Pathological Anatomy (University of Castilla La Mancha)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I79189158","host_organization_name":"University of Castilla-La Mancha","host_organization_lineage":["https://openalex.org/I79189158"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[{"score":0.5600000023841858,"id":"https://metadata.un.org/sdg/8","display_name":"Decent work and economic growth"}],"awards":[{"id":"https://openalex.org/G1590248793","display_name":null,"funder_award_id":"EP/P03277X/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G777517731","display_name":"Aggregative charging control of electric vehicle populations","funder_award_id":"EP/P03277X/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3201871169.pdf","grobid_xml":"https://content.openalex.org/works/W3201871169.grobid-xml"},"referenced_works_count":56,"referenced_works":["https://openalex.org/W583348683","https://openalex.org/W1020659046","https://openalex.org/W1598618250","https://openalex.org/W1603765807","https://openalex.org/W1762430620","https://openalex.org/W1966003058","https://openalex.org/W1976466849","https://openalex.org/W1992772693","https://openalex.org/W2013614847","https://openalex.org/W2017169656","https://openalex.org/W2019710194","https://openalex.org/W2019817112","https://openalex.org/W2020433780","https://openalex.org/W2022948311","https://openalex.org/W2043936000","https://openalex.org/W2044212084","https://openalex.org/W2045294654","https://openalex.org/W2086794496","https://openalex.org/W2086991527","https://openalex.org/W2105850748","https://openalex.org/W2107396783","https://openalex.org/W2108062921","https://openalex.org/W2110538410","https://openalex.org/W2114791779","https://openalex.org/W2127269966","https://openalex.org/W2128658178","https://openalex.org/W2145713451","https://openalex.org/W2167412190","https://openalex.org/W2481731143","https://openalex.org/W2589118488","https://openalex.org/W2609535051","https://openalex.org/W2753883782","https://openalex.org/W2763081248","https://openalex.org/W2781826904","https://openalex.org/W2790253573","https://openalex.org/W2790380176","https://openalex.org/W2884651862","https://openalex.org/W2896710966","https://openalex.org/W2921455713","https://openalex.org/W2962757016","https://openalex.org/W2964318145","https://openalex.org/W2981669241","https://openalex.org/W2991484107","https://openalex.org/W2996830458","https://openalex.org/W3006182252","https://openalex.org/W3017141419","https://openalex.org/W3027839626","https://openalex.org/W3033170400","https://openalex.org/W3103064922","https://openalex.org/W3104530023","https://openalex.org/W3105789652","https://openalex.org/W3122059187","https://openalex.org/W4244614390","https://openalex.org/W4250913065","https://openalex.org/W4287815533","https://openalex.org/W6804849104"],"related_works":["https://openalex.org/W50834308","https://openalex.org/W2091367592","https://openalex.org/W2040084813","https://openalex.org/W4239546338","https://openalex.org/W2122898738","https://openalex.org/W2114395913","https://openalex.org/W2339441681","https://openalex.org/W1570886698","https://openalex.org/W3002764586","https://openalex.org/W1487555369"],"abstract_inverted_index":{"We":[0],"consider":[1],"a":[2,12,28,47,56,88,96,103,115,181],"multi-agent":[3,122],"optimal":[4,93,185],"resource":[5,18,61,99,132],"sharing":[6,100,133],"problem":[7,101,134],"that":[8,30,52,68,139],"is":[9,22,31,110,166],"represented":[10],"by":[11],"linear":[13,97],"program.":[14],"The":[15,161],"amount":[16],"of":[17,49,55,63,77,95,111,120,149,155],"to":[19,27,36,152,169],"be":[20,141],"shared":[21],"fixed,":[23],"and":[24,108,117,135],"agents":[25,80,156],"belong":[26],"population":[29],"characterized":[32],"probabilistically":[33],"so":[34],"as":[35,143],"allow":[37],"heterogeneity":[38],"among":[39],"the":[40,50,53,60,70,75,78,92,121,128,131,147,153,158,171],"agents.":[41],"In":[42],"this":[43],"article,":[44],"we":[45],"provide":[46],"characterization":[48],"probability":[51,86],"arrival":[54],"new":[57,71,104],"agent":[58,72,105],"affects":[59],"share":[62],"other":[64,79],"agents,":[65],"which":[66],"means":[67],"accommodating":[69],"request":[73],"at":[74],"detriment":[76],"allocation":[81],"provides":[82],"some":[83],"payoff.":[84],"This":[85],"represents":[87],"sensitivity":[89,173],"index":[90],"for":[91,114],"solution":[94],"programming":[98],"when":[102],"shows":[106],"up,":[107],"it":[109],"fundamental":[112],"importance":[113],"correct":[116],"profitable":[118],"operation":[119],"system.":[123],"Our":[124,175],"developments":[125],"build":[126],"on":[127,184],"equivalence":[129],"between":[130],"certain":[136],"dual":[137],"reformulations":[138],"can":[140],"interpreted":[142],"scenario":[144,164],"programs":[145],"with":[146],"number":[148,154],"scenarios":[150],"corresponding":[151],"in":[157],"primal":[159],"problem.":[160],"recent":[162],"\u201cwait-and-judge\u201d":[163],"approach":[165],"then":[167],"used":[168],"obtain":[170],"sought":[172],"index.":[174],"theoretical":[176],"findings":[177],"are":[178],"demonstrated":[179],"through":[180],"numerical":[182],"example":[183],"cargo":[186],"aircraft":[187],"loading.":[188]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
