{"id":"https://openalex.org/W2150701879","doi":"https://doi.org/10.1007/bf01874452","title":"Stochastic bounds on distributions of optimal value functions with applications to pert, network flows and reliability","display_name":"Stochastic bounds on distributions of optimal value functions with applications to pert, network flows and reliability","publication_year":1984,"publication_date":"1984-02-01","ids":{"openalex":"https://openalex.org/W2150701879","doi":"https://doi.org/10.1007/bf01874452","mag":"2150701879"},"language":"en","primary_location":{"id":"doi:10.1007/bf01874452","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf01874452","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/A5069332296","display_name":"Gideon Weiss","orcid":"https://orcid.org/0000-0001-5986-5795"},"institutions":[{"id":"https://openalex.org/I16391192","display_name":"Tel Aviv University","ror":"https://ror.org/04mhzgx49","country_code":"IL","type":"education","lineage":["https://openalex.org/I16391192"]}],"countries":["IL"],"is_corresponding":true,"raw_author_name":"Gideon Weiss","raw_affiliation_strings":["Department of Statistics, Tel Aviv University, 69978, Tel Aviv, Israel"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Statistics, Tel Aviv University, 69978, Tel Aviv, Israel","institution_ids":["https://openalex.org/I16391192"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5069332296"],"corresponding_institution_ids":["https://openalex.org/I16391192"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.30217738,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"1","issue":"1","first_page":"59","last_page":"65"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10974","display_name":"Advanced Queuing Theory Analysis","score":0.9961000084877014,"subfield":{"id":"https://openalex.org/subfields/1404","display_name":"Management Information Systems"},"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/T10974","display_name":"Advanced Queuing Theory Analysis","score":0.9961000084877014,"subfield":{"id":"https://openalex.org/subfields/1404","display_name":"Management Information Systems"},"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/T10780","display_name":"Reliability and Maintenance Optimization","score":0.9943000078201294,"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/T11720","display_name":"Probability and Risk Models","score":0.9868000149726868,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/reliability","display_name":"Reliability (semiconductor)","score":0.7170126438140869},{"id":"https://openalex.org/keywords/shortest-path-problem","display_name":"Shortest path problem","score":0.693928062915802},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.6743370294570923},{"id":"https://openalex.org/keywords/path","display_name":"Path (computing)","score":0.6734851002693176},{"id":"https://openalex.org/keywords/flow-network","display_name":"Flow network","score":0.5618356466293335},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5534647703170776},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.532592236995697},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.5187819004058838},{"id":"https://openalex.org/keywords/value","display_name":"Value (mathematics)","score":0.4988281726837158},{"id":"https://openalex.org/keywords/expected-value","display_name":"Expected value","score":0.41487640142440796},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.40572166442871094},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.2558773159980774},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.18482470512390137},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.16057875752449036},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.1313953995704651},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.06738746166229248},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06634581089019775}],"concepts":[{"id":"https://openalex.org/C43214815","wikidata":"https://www.wikidata.org/wiki/Q7310987","display_name":"Reliability (semiconductor)","level":3,"score":0.7170126438140869},{"id":"https://openalex.org/C22590252","wikidata":"https://www.wikidata.org/wiki/Q1058754","display_name":"Shortest path problem","level":3,"score":0.693928062915802},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.6743370294570923},{"id":"https://openalex.org/C2777735758","wikidata":"https://www.wikidata.org/wiki/Q817765","display_name":"Path (computing)","level":2,"score":0.6734851002693176},{"id":"https://openalex.org/C114809511","wikidata":"https://www.wikidata.org/wiki/Q1412924","display_name":"Flow network","level":2,"score":0.5618356466293335},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5534647703170776},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.532592236995697},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.5187819004058838},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.4988281726837158},{"id":"https://openalex.org/C141042865","wikidata":"https://www.wikidata.org/wiki/Q200125","display_name":"Expected value","level":2,"score":0.41487640142440796},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.40572166442871094},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2558773159980774},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.18482470512390137},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.16057875752449036},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.1313953995704651},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.06738746166229248},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06634581089019775},{"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"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":1,"locations":[{"id":"doi:10.1007/bf01874452","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf01874452","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W1499662001","https://openalex.org/W1583958891","https://openalex.org/W1591371618","https://openalex.org/W1964119857","https://openalex.org/W1965593308","https://openalex.org/W1974401856","https://openalex.org/W1987640097","https://openalex.org/W2001832122","https://openalex.org/W2002675398","https://openalex.org/W2015344028","https://openalex.org/W2021484922","https://openalex.org/W2042851384","https://openalex.org/W2049716158","https://openalex.org/W2052423850","https://openalex.org/W2076118120","https://openalex.org/W2080756024","https://openalex.org/W2125690626","https://openalex.org/W2125697860","https://openalex.org/W2316039394","https://openalex.org/W2332274273","https://openalex.org/W2912022881","https://openalex.org/W3000633136","https://openalex.org/W4247991480"],"related_works":["https://openalex.org/W2134492883","https://openalex.org/W2469944050","https://openalex.org/W2066371783","https://openalex.org/W1999793783","https://openalex.org/W2018732369","https://openalex.org/W2131559541","https://openalex.org/W1968569776","https://openalex.org/W2150701879","https://openalex.org/W2070179934","https://openalex.org/W2108800124"],"abstract_inverted_index":null,"counts_by_year":[{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}