{"id":"https://openalex.org/W2075947535","doi":"https://doi.org/10.1016/s0305-0548(99)00133-1","title":"On computing the distribution function of the sum of independent random variables","display_name":"On computing the distribution function of the sum of independent random variables","publication_year":2001,"publication_date":"2001-04-01","ids":{"openalex":"https://openalex.org/W2075947535","doi":"https://doi.org/10.1016/s0305-0548(99)00133-1","mag":"2075947535"},"language":"en","primary_location":{"id":"doi:10.1016/s0305-0548(99)00133-1","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0305-0548(99)00133-1","pdf_url":null,"source":{"id":"https://openalex.org/S173256270","display_name":"Computers & Operations Research","issn_l":"0305-0548","issn":["0305-0548","1873-765X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computers & 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/A5040242772","display_name":"Mani K. Agrawal","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Mani K. Agrawal","raw_affiliation_strings":["Manugistics, Inc., 9200 E. Panorama Circle, Englewood, CO 80112, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Manugistics, Inc., 9200 E. Panorama Circle, Englewood, CO 80112, USA","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5109508061","display_name":"Salah E. Elmaghraby","orcid":null},"institutions":[{"id":"https://openalex.org/I137902535","display_name":"North Carolina State University","ror":"https://ror.org/04tj63d06","country_code":"US","type":"education","lineage":["https://openalex.org/I137902535"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Salah E. Elmaghraby","raw_affiliation_strings":["Department of Industrial Engineering, College of Engineering, North Carolina State University, Campus Box 7906, Raleigh, NC 27695-7906, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Industrial Engineering, College of Engineering, North Carolina State University, Campus Box 7906, Raleigh, NC 27695-7906, USA","institution_ids":["https://openalex.org/I137902535"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5109508061"],"corresponding_institution_ids":["https://openalex.org/I137902535"],"apc_list":{"value":3210,"currency":"USD","value_usd":3210},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":24,"citation_normalized_percentile":{"value":0.18650196,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"28","issue":"5","first_page":"473","last_page":"483"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12177","display_name":"Resource-Constrained Project Scheduling","score":0.9853000044822693,"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"}},"topics":[{"id":"https://openalex.org/T12177","display_name":"Resource-Constrained Project Scheduling","score":0.9853000044822693,"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"}},{"id":"https://openalex.org/T10829","display_name":"Interconnection Networks and Systems","score":0.9824000000953674,"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/T10064","display_name":"Complex Network Analysis Techniques","score":0.9793999791145325,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/convolution","display_name":"Convolution (computer science)","score":0.8207595348358154},{"id":"https://openalex.org/keywords/probability-density-function","display_name":"Probability density function","score":0.7209324836730957},{"id":"https://openalex.org/keywords/random-variable","display_name":"Random variable","score":0.673391580581665},{"id":"https://openalex.org/keywords/moment-generating-function","display_name":"Moment-generating function","score":0.6624593734741211},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6456537246704102},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.6405941247940063},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5564789175987244},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5112185478210449},{"id":"https://openalex.org/keywords/convolution-of-probability-distributions","display_name":"Convolution of probability distributions","score":0.5099102258682251},{"id":"https://openalex.org/keywords/probability-distribution","display_name":"Probability distribution","score":0.4267321527004242},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.40499478578567505},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.36958569288253784},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3174273371696472},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.17677968740463257},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.1327212154865265},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08470609784126282}],"concepts":[{"id":"https://openalex.org/C45347329","wikidata":"https://www.wikidata.org/wiki/Q5166604","display_name":"Convolution (computer science)","level":3,"score":0.8207595348358154},{"id":"https://openalex.org/C197055811","wikidata":"https://www.wikidata.org/wiki/Q207522","display_name":"Probability density function","level":2,"score":0.7209324836730957},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.673391580581665},{"id":"https://openalex.org/C101796028","wikidata":"https://www.wikidata.org/wiki/Q535587","display_name":"Moment-generating function","level":3,"score":0.6624593734741211},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6456537246704102},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.6405941247940063},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5564789175987244},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5112185478210449},{"id":"https://openalex.org/C158557763","wikidata":"https://www.wikidata.org/wiki/Q5166603","display_name":"Convolution of probability distributions","level":4,"score":0.5099102258682251},{"id":"https://openalex.org/C149441793","wikidata":"https://www.wikidata.org/wiki/Q200726","display_name":"Probability distribution","level":2,"score":0.4267321527004242},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.40499478578567505},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.36958569288253784},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3174273371696472},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.17677968740463257},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1327212154865265},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08470609784126282},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/s0305-0548(99)00133-1","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0305-0548(99)00133-1","pdf_url":null,"source":{"id":"https://openalex.org/S173256270","display_name":"Computers & Operations Research","issn_l":"0305-0548","issn":["0305-0548","1873-765X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computers & 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":5,"referenced_works":["https://openalex.org/W2567833","https://openalex.org/W2002460920","https://openalex.org/W2096471740","https://openalex.org/W2162870748","https://openalex.org/W4388322023"],"related_works":["https://openalex.org/W2373670823","https://openalex.org/W2138407964","https://openalex.org/W3026860111","https://openalex.org/W4249885815","https://openalex.org/W2242259016","https://openalex.org/W1980528650","https://openalex.org/W4306658484","https://openalex.org/W1526257359","https://openalex.org/W253462378","https://openalex.org/W2777320519"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":5},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-07-28T07:46:37.118299","created_date":"2025-10-10T00:00:00"}