{"id":"https://openalex.org/W2037847950","doi":"https://doi.org/10.1007/s101070050079","title":"Upper bounds for Gaussian stochastic programs","display_name":"Upper bounds for Gaussian stochastic programs","publication_year":1999,"publication_date":"1999-09-01","ids":{"openalex":"https://openalex.org/W2037847950","doi":"https://doi.org/10.1007/s101070050079","mag":"2037847950"},"language":"en","primary_location":{"id":"doi:10.1007/s101070050079","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s101070050079","pdf_url":null,"source":{"id":"https://openalex.org/S193920097","display_name":"Mathematical Programming","issn_l":"0025-5610","issn":["0025-5610","1436-4646"],"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":"Mathematical Programming","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/A5083126212","display_name":"Geoffrey Pritchard","orcid":"https://orcid.org/0000-0002-5660-4503"},"institutions":[{"id":"https://openalex.org/I39854758","display_name":"Auckland University of Technology","ror":"https://ror.org/01zvqw119","country_code":"NZ","type":"education","lineage":["https://openalex.org/I39854758"]},{"id":"https://openalex.org/I154130895","display_name":"University of Auckland","ror":"https://ror.org/03b94tp07","country_code":"NZ","type":"education","lineage":["https://openalex.org/I154130895"]}],"countries":["NZ"],"is_corresponding":true,"raw_author_name":"Geoffrey Pritchard","raw_affiliation_strings":["Dept. of Statistics, University of Auckland, Private Bag 92019, Auckland, New Zealand, e-mail: pritchar@scitec.auckland.ac.nz., , , , , , NZ","Dept. of Statistics, University of Auckland, Private Bag 92019, Auckland, New Zealand, e-mail: pritchar@scitec.auckland.ac.nz., , NZ"],"affiliations":[{"raw_affiliation_string":"Dept. of Statistics, University of Auckland, Private Bag 92019, Auckland, New Zealand, e-mail: pritchar@scitec.auckland.ac.nz., , , , , , NZ","institution_ids":["https://openalex.org/I154130895","https://openalex.org/I39854758"]},{"raw_affiliation_string":"Dept. of Statistics, University of Auckland, Private Bag 92019, Auckland, New Zealand, e-mail: pritchar@scitec.auckland.ac.nz., , NZ","institution_ids":["https://openalex.org/I154130895"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5004039675","display_name":"Golbon Zakeri","orcid":"https://orcid.org/0000-0002-6888-8451"},"institutions":[{"id":"https://openalex.org/I39854758","display_name":"Auckland University of Technology","ror":"https://ror.org/01zvqw119","country_code":"NZ","type":"education","lineage":["https://openalex.org/I39854758"]},{"id":"https://openalex.org/I154130895","display_name":"University of Auckland","ror":"https://ror.org/03b94tp07","country_code":"NZ","type":"education","lineage":["https://openalex.org/I154130895"]}],"countries":["NZ"],"is_corresponding":false,"raw_author_name":"Golbon Zakeri","raw_affiliation_strings":["Department of Engineering Science, University of Auckland, Private Bag 92019, Auckland, New Zealand, e-mail: g.zakeri@auckland.ac.nz., , , , , , NZ","Department of Engineering Science, University of Auckland, Private Bag 92019, Auckland, New Zealand, e-mail: g.zakeri@auckland.ac.nz., NZ"],"affiliations":[{"raw_affiliation_string":"Department of Engineering Science, University of Auckland, Private Bag 92019, Auckland, New Zealand, e-mail: g.zakeri@auckland.ac.nz., , , , , , NZ","institution_ids":["https://openalex.org/I154130895","https://openalex.org/I39854758"]},{"raw_affiliation_string":"Department of Engineering Science, University of Auckland, Private Bag 92019, Auckland, New Zealand, e-mail: g.zakeri@auckland.ac.nz., NZ","institution_ids":["https://openalex.org/I154130895"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5083126212"],"corresponding_institution_ids":["https://openalex.org/I154130895","https://openalex.org/I39854758"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.31849439,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"86","issue":"1","first_page":"51","last_page":"63"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10698","display_name":"Transportation Planning and Optimization","score":0.995199978351593,"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"}},"topics":[{"id":"https://openalex.org/T10698","display_name":"Transportation Planning and Optimization","score":0.995199978351593,"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"}},{"id":"https://openalex.org/T12709","display_name":"Optimization and Mathematical Programming","score":0.9919999837875366,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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/T12137","display_name":"Economic theories and models","score":0.9900000095367432,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7375345230102539},{"id":"https://openalex.org/keywords/randomness","display_name":"Randomness","score":0.6742202043533325},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.631992757320404},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.6276953816413879},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.5347570180892944},{"id":"https://openalex.org/keywords/multivariate-normal-distribution","display_name":"Multivariate normal distribution","score":0.5331605672836304},{"id":"https://openalex.org/keywords/multivariate-statistics","display_name":"Multivariate statistics","score":0.5090321898460388},{"id":"https://openalex.org/keywords/distribution","display_name":"Distribution (mathematics)","score":0.4608800411224365},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4606269896030426},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.44283273816108704},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2215861678123474},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.1740771234035492},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.10727435350418091}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7375345230102539},{"id":"https://openalex.org/C125112378","wikidata":"https://www.wikidata.org/wiki/Q176640","display_name":"Randomness","level":2,"score":0.6742202043533325},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.631992757320404},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.6276953816413879},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.5347570180892944},{"id":"https://openalex.org/C177384507","wikidata":"https://www.wikidata.org/wiki/Q1149000","display_name":"Multivariate normal distribution","level":3,"score":0.5331605672836304},{"id":"https://openalex.org/C161584116","wikidata":"https://www.wikidata.org/wiki/Q1952580","display_name":"Multivariate statistics","level":2,"score":0.5090321898460388},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.4608800411224365},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4606269896030426},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.44283273816108704},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2215861678123474},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1740771234035492},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.10727435350418091},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s101070050079","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s101070050079","pdf_url":null,"source":{"id":"https://openalex.org/S193920097","display_name":"Mathematical Programming","issn_l":"0025-5610","issn":["0025-5610","1436-4646"],"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":"Mathematical Programming","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.54.9136","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.54.9136","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www-unix.mcs.anl.gov/~zakeri/Preprint/gub.ps","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":5,"referenced_works":["https://openalex.org/W55939935","https://openalex.org/W1967512593","https://openalex.org/W2045847740","https://openalex.org/W2074737897","https://openalex.org/W2087294763"],"related_works":["https://openalex.org/W2220190985","https://openalex.org/W2346846619","https://openalex.org/W2417295580","https://openalex.org/W4250921637","https://openalex.org/W1840639769","https://openalex.org/W2033612661","https://openalex.org/W2055354074","https://openalex.org/W198767307","https://openalex.org/W4237200122","https://openalex.org/W2014701453"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}