{"id":"https://openalex.org/W3026434540","doi":"https://doi.org/10.1007/s10479-020-03631-7","title":"Towards a stochastic programming modeling framework for districting","display_name":"Towards a stochastic programming modeling framework for districting","publication_year":2020,"publication_date":"2020-05-20","ids":{"openalex":"https://openalex.org/W3026434540","doi":"https://doi.org/10.1007/s10479-020-03631-7","mag":"3026434540"},"language":"en","primary_location":{"id":"doi:10.1007/s10479-020-03631-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10479-020-03631-7","pdf_url":null,"source":{"id":"https://openalex.org/S57667410","display_name":"Annals of Operations Research","issn_l":"0254-5330","issn":["0254-5330","1572-9338"],"is_oa":false,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Annals of Operations Research","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/A5086537578","display_name":"Antonio Diglio","orcid":"https://orcid.org/0000-0002-9775-3927"},"institutions":[{"id":"https://openalex.org/I71267560","display_name":"University of Naples Federico II","ror":"https://ror.org/05290cv24","country_code":"IT","type":"education","lineage":["https://openalex.org/I71267560"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Antonio Diglio","raw_affiliation_strings":["Department of Industrial Engineering (DII), Universit\u00e0 degli Studi di Napoli Federico II, Piazzale Tecchio, 80, 80125, Naples, Italy"],"raw_orcid":"https://orcid.org/0000-0002-9775-3927","affiliations":[{"raw_affiliation_string":"Department of Industrial Engineering (DII), Universit\u00e0 degli Studi di Napoli Federico II, Piazzale Tecchio, 80, 80125, Naples, Italy","institution_ids":["https://openalex.org/I71267560"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5029808771","display_name":"Stefan Nickel","orcid":"https://orcid.org/0000-0002-8339-0117"},"institutions":[{"id":"https://openalex.org/I102335020","display_name":"Karlsruhe Institute of Technology","ror":"https://ror.org/04t3en479","country_code":"DE","type":"education","lineage":["https://openalex.org/I102335020","https://openalex.org/I1305996414"]},{"id":"https://openalex.org/I143379178","display_name":"FZI Research Center for Information Technology","ror":"https://ror.org/04kdh6x72","country_code":"DE","type":"nonprofit","lineage":["https://openalex.org/I143379178"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Stefan Nickel","raw_affiliation_strings":["Department of Logistics and Supply Chain Optimization, Research Center for Information Technology (FZI), Karlsruhe, Germany","Institute of Operations Research, Karlsruhe Institute of Technology (KIT), Karlsruhe, Germany"],"raw_orcid":"https://orcid.org/0000-0002-8339-0117","affiliations":[{"raw_affiliation_string":"Department of Logistics and Supply Chain Optimization, Research Center for Information Technology (FZI), Karlsruhe, Germany","institution_ids":["https://openalex.org/I143379178"]},{"raw_affiliation_string":"Institute of Operations Research, Karlsruhe Institute of Technology (KIT), Karlsruhe, Germany","institution_ids":["https://openalex.org/I102335020"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5014572640","display_name":"Francisco Saldanha\u2010da\u2010Gama","orcid":"https://orcid.org/0000-0002-2074-1856"},"institutions":[{"id":"https://openalex.org/I141596103","display_name":"University of Lisbon","ror":"https://ror.org/01c27hj86","country_code":"PT","type":"education","lineage":["https://openalex.org/I141596103"]},{"id":"https://openalex.org/I7883018","display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e Tecnologia","ror":"https://ror.org/00snfqn58","country_code":"PT","type":"nonprofit","lineage":["https://openalex.org/I4210146676","https://openalex.org/I7883018"]}],"countries":["PT"],"is_corresponding":false,"raw_author_name":"Francisco Saldanha-da-Gama","raw_affiliation_strings":["Centro de Matem\u00e1tica, Aplica\u00e7\u00f5es Fundamentais e Investiga\u00e7\u00e3o Operacional, Faculdade de Ci\u00eancias da Universidade de Lisboa, 1749-016, Lisbon, Portugal","Dept. Estat\u00edstica e Investiga\u00e7\u00e3o Operacional, Faculdade de Ci\u00eancias da Universidade de Lisboa, 1749-016, Lisbon, Portugal"],"raw_orcid":"https://orcid.org/0000-0002-2074-1856","affiliations":[{"raw_affiliation_string":"Centro de Matem\u00e1tica, Aplica\u00e7\u00f5es Fundamentais e Investiga\u00e7\u00e3o Operacional, Faculdade de Ci\u00eancias da Universidade de Lisboa, 1749-016, Lisbon, Portugal","institution_ids":["https://openalex.org/I141596103","https://openalex.org/I7883018"]},{"raw_affiliation_string":"Dept. Estat\u00edstica e Investiga\u00e7\u00e3o Operacional, Faculdade de Ci\u00eancias da Universidade de Lisboa, 1749-016, Lisbon, Portugal","institution_ids":["https://openalex.org/I141596103"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5086537578"],"corresponding_institution_ids":["https://openalex.org/I71267560"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":1.4604,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.84138034,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":98},"biblio":{"volume":"292","issue":"1","first_page":"249","last_page":"285"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11502","display_name":"Facility Location and Emergency Management","score":0.9983999729156494,"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":0.9983999729156494,"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/T11942","display_name":"Transportation and Mobility Innovations","score":0.9977999925613403,"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/T10698","display_name":"Transportation Planning and Optimization","score":0.9973999857902527,"subfield":{"id":"https://openalex.org/subfields/3313","display_name":"Transportation"},"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/stochastic-programming","display_name":"Stochastic programming","score":0.7142075300216675},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5899471044540405},{"id":"https://openalex.org/keywords/outsourcing","display_name":"Outsourcing","score":0.5892268419265747},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.5804804563522339},{"id":"https://openalex.org/keywords/relevance","display_name":"Relevance (law)","score":0.5242750644683838},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.523496687412262},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5216439366340637},{"id":"https://openalex.org/keywords/stage","display_name":"Stage (stratigraphy)","score":0.438149094581604},{"id":"https://openalex.org/keywords/integer-programming","display_name":"Integer programming","score":0.43175849318504333},{"id":"https://openalex.org/keywords/operations-research","display_name":"Operations research","score":0.4194405674934387},{"id":"https://openalex.org/keywords/stochastic-modelling","display_name":"Stochastic modelling","score":0.41041308641433716},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.25014728307724},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.11246752738952637},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.0926767885684967}],"concepts":[{"id":"https://openalex.org/C137631369","wikidata":"https://www.wikidata.org/wiki/Q7617831","display_name":"Stochastic programming","level":2,"score":0.7142075300216675},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5899471044540405},{"id":"https://openalex.org/C46934059","wikidata":"https://www.wikidata.org/wiki/Q61515","display_name":"Outsourcing","level":2,"score":0.5892268419265747},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.5804804563522339},{"id":"https://openalex.org/C158154518","wikidata":"https://www.wikidata.org/wiki/Q7310970","display_name":"Relevance (law)","level":2,"score":0.5242750644683838},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.523496687412262},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5216439366340637},{"id":"https://openalex.org/C146357865","wikidata":"https://www.wikidata.org/wiki/Q1123245","display_name":"Stage (stratigraphy)","level":2,"score":0.438149094581604},{"id":"https://openalex.org/C56086750","wikidata":"https://www.wikidata.org/wiki/Q6042592","display_name":"Integer programming","level":2,"score":0.43175849318504333},{"id":"https://openalex.org/C42475967","wikidata":"https://www.wikidata.org/wiki/Q194292","display_name":"Operations research","level":1,"score":0.4194405674934387},{"id":"https://openalex.org/C127491075","wikidata":"https://www.wikidata.org/wiki/Q7617825","display_name":"Stochastic modelling","level":2,"score":0.41041308641433716},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.25014728307724},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.11246752738952637},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0926767885684967},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","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/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10479-020-03631-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10479-020-03631-7","pdf_url":null,"source":{"id":"https://openalex.org/S57667410","display_name":"Annals of Operations Research","issn_l":"0254-5330","issn":["0254-5330","1572-9338"],"is_oa":false,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Annals of Operations Research","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:spr:annopr:v:292:y:2020:i:1:d:10.1007_s10479-020-03631-7","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10479-020-03631-7","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1025027011","display_name":null,"funder_award_id":"UID/MAT/ 04561/2013 (SFRH/BSAB/130291/2017","funder_id":"https://openalex.org/F4320334779","funder_display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia"},{"id":"https://openalex.org/G6455166673","display_name":null,"funder_award_id":"UID/MAT/ 04561/2013 (CMAF-CIO/FCUL)","funder_id":"https://openalex.org/F4320334779","funder_display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia"}],"funders":[{"id":"https://openalex.org/F4320334779","display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia","ror":"https://ror.org/00snfqn58"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":50,"referenced_works":["https://openalex.org/W28044850","https://openalex.org/W121774301","https://openalex.org/W300869227","https://openalex.org/W412237700","https://openalex.org/W1569990960","https://openalex.org/W1606924979","https://openalex.org/W1969970715","https://openalex.org/W1974417810","https://openalex.org/W1974861471","https://openalex.org/W1985617197","https://openalex.org/W1987662665","https://openalex.org/W1989256614","https://openalex.org/W1989807369","https://openalex.org/W2002616150","https://openalex.org/W2014621992","https://openalex.org/W2022221285","https://openalex.org/W2034231758","https://openalex.org/W2040185995","https://openalex.org/W2045415040","https://openalex.org/W2051764358","https://openalex.org/W2058490149","https://openalex.org/W2068625005","https://openalex.org/W2072383619","https://openalex.org/W2073228814","https://openalex.org/W2077960662","https://openalex.org/W2111935403","https://openalex.org/W2113574878","https://openalex.org/W2128241964","https://openalex.org/W2137195743","https://openalex.org/W2137993394","https://openalex.org/W2153005031","https://openalex.org/W2159852530","https://openalex.org/W2167696076","https://openalex.org/W2181995536","https://openalex.org/W2252003498","https://openalex.org/W2286385988","https://openalex.org/W2342964246","https://openalex.org/W2436349653","https://openalex.org/W2463078144","https://openalex.org/W2526027248","https://openalex.org/W2540887861","https://openalex.org/W2554862317","https://openalex.org/W2559453310","https://openalex.org/W2580805519","https://openalex.org/W2736278702","https://openalex.org/W2765540782","https://openalex.org/W2789740272","https://openalex.org/W2791842797","https://openalex.org/W4246609154","https://openalex.org/W4247823870"],"related_works":["https://openalex.org/W2358200898","https://openalex.org/W4231184955","https://openalex.org/W2325765407","https://openalex.org/W2788012436","https://openalex.org/W1523365952","https://openalex.org/W2066991826","https://openalex.org/W2613240917","https://openalex.org/W4378533450","https://openalex.org/W4294992859","https://openalex.org/W2603686330"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}