{"id":"https://openalex.org/W1969564565","doi":"https://doi.org/10.1145/1764810.1764831","title":"Measuring reliability growth of software by considering fault dependency, debugging time Lag functions and irregular fluctuation","display_name":"Measuring reliability growth of software by considering fault dependency, debugging time Lag functions and irregular fluctuation","publication_year":2010,"publication_date":"2010-05-11","ids":{"openalex":"https://openalex.org/W1969564565","doi":"https://doi.org/10.1145/1764810.1764831","mag":"1969564565"},"language":"en","primary_location":{"id":"doi:10.1145/1764810.1764831","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1764810.1764831","pdf_url":null,"source":{"id":"https://openalex.org/S186921487","display_name":"ACM SIGSOFT Software Engineering Notes","issn_l":"0163-5948","issn":["0163-5948","1943-5843"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM SIGSOFT Software Engineering Notes","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/A5061527209","display_name":"V. B. Singh","orcid":"https://orcid.org/0000-0001-6678-4977"},"institutions":[{"id":"https://openalex.org/I110166357","display_name":"University of Delhi","ror":"https://ror.org/04gzb2213","country_code":"IN","type":"education","lineage":["https://openalex.org/I110166357"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"V. B. Singh","raw_affiliation_strings":["University of Delhi"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Delhi","institution_ids":["https://openalex.org/I110166357"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5013827274","display_name":"P. K. Kapur","orcid":"https://orcid.org/0000-0001-8006-5952"},"institutions":[{"id":"https://openalex.org/I110166357","display_name":"University of Delhi","ror":"https://ror.org/04gzb2213","country_code":"IN","type":"education","lineage":["https://openalex.org/I110166357"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"P. K. Kapur","raw_affiliation_strings":["University of Delhi"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Delhi","institution_ids":["https://openalex.org/I110166357"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5002709411","display_name":"Abhishek Tandon","orcid":"https://orcid.org/0000-0002-0143-5677"},"institutions":[{"id":"https://openalex.org/I110166357","display_name":"University of Delhi","ror":"https://ror.org/04gzb2213","country_code":"IN","type":"education","lineage":["https://openalex.org/I110166357"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Abhishek Tandon","raw_affiliation_strings":["University of Delhi"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Delhi","institution_ids":["https://openalex.org/I110166357"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I110166357"],"apc_list":null,"apc_paid":null,"fwci":1.3136,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.81230828,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"35","issue":"3","first_page":"1","last_page":"11"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12423","display_name":"Software Reliability and Analysis Research","score":1.0,"subfield":{"id":"https://openalex.org/subfields/1712","display_name":"Software"},"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/T12423","display_name":"Software Reliability and Analysis Research","score":1.0,"subfield":{"id":"https://openalex.org/subfields/1712","display_name":"Software"},"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/T10780","display_name":"Reliability and Maintenance Optimization","score":0.9955000281333923,"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/T10968","display_name":"Statistical Distribution Estimation and Applications","score":0.982200026512146,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/debugging","display_name":"Debugging","score":0.7286813259124756},{"id":"https://openalex.org/keywords/dependency","display_name":"Dependency (UML)","score":0.6392107605934143},{"id":"https://openalex.org/keywords/reliability-engineering","display_name":"Reliability engineering","score":0.5676721334457397},{"id":"https://openalex.org/keywords/fault","display_name":"Fault (geology)","score":0.5254425406455994},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5130221247673035},{"id":"https://openalex.org/keywords/software-quality","display_name":"Software quality","score":0.5117821097373962},{"id":"https://openalex.org/keywords/software","display_name":"Software","score":0.5008056163787842},{"id":"https://openalex.org/keywords/software-fault-tolerance","display_name":"Software fault tolerance","score":0.49947381019592285},{"id":"https://openalex.org/keywords/stuck-at-fault","display_name":"Stuck-at fault","score":0.4827343821525574},{"id":"https://openalex.org/keywords/software-reliability-testing","display_name":"Software reliability testing","score":0.4778158962726593},{"id":"https://openalex.org/keywords/fault-detection-and-isolation","display_name":"Fault detection and isolation","score":0.47286438941955566},{"id":"https://openalex.org/keywords/real-time-computing","display_name":"Real-time computing","score":0.36184757947921753},{"id":"https://openalex.org/keywords/software-development","display_name":"Software development","score":0.35149258375167847},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.29402291774749756},{"id":"https://openalex.org/keywords/fault-tolerance","display_name":"Fault tolerance","score":0.18807321786880493},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.10297918319702148}],"concepts":[{"id":"https://openalex.org/C168065819","wikidata":"https://www.wikidata.org/wiki/Q845566","display_name":"Debugging","level":2,"score":0.7286813259124756},{"id":"https://openalex.org/C19768560","wikidata":"https://www.wikidata.org/wiki/Q320727","display_name":"Dependency (UML)","level":2,"score":0.6392107605934143},{"id":"https://openalex.org/C200601418","wikidata":"https://www.wikidata.org/wiki/Q2193887","display_name":"Reliability engineering","level":1,"score":0.5676721334457397},{"id":"https://openalex.org/C175551986","wikidata":"https://www.wikidata.org/wiki/Q47089","display_name":"Fault (geology)","level":2,"score":0.5254425406455994},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5130221247673035},{"id":"https://openalex.org/C117447612","wikidata":"https://www.wikidata.org/wiki/Q1412670","display_name":"Software quality","level":4,"score":0.5117821097373962},{"id":"https://openalex.org/C2777904410","wikidata":"https://www.wikidata.org/wiki/Q7397","display_name":"Software","level":2,"score":0.5008056163787842},{"id":"https://openalex.org/C50712370","wikidata":"https://www.wikidata.org/wiki/Q4269346","display_name":"Software fault tolerance","level":3,"score":0.49947381019592285},{"id":"https://openalex.org/C13625343","wikidata":"https://www.wikidata.org/wiki/Q7627418","display_name":"Stuck-at fault","level":4,"score":0.4827343821525574},{"id":"https://openalex.org/C52928878","wikidata":"https://www.wikidata.org/wiki/Q7554226","display_name":"Software reliability testing","level":5,"score":0.4778158962726593},{"id":"https://openalex.org/C152745839","wikidata":"https://www.wikidata.org/wiki/Q5438153","display_name":"Fault detection and isolation","level":3,"score":0.47286438941955566},{"id":"https://openalex.org/C79403827","wikidata":"https://www.wikidata.org/wiki/Q3988","display_name":"Real-time computing","level":1,"score":0.36184757947921753},{"id":"https://openalex.org/C529173508","wikidata":"https://www.wikidata.org/wiki/Q638608","display_name":"Software development","level":3,"score":0.35149258375167847},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.29402291774749756},{"id":"https://openalex.org/C63540848","wikidata":"https://www.wikidata.org/wiki/Q3140932","display_name":"Fault tolerance","level":2,"score":0.18807321786880493},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.10297918319702148},{"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/C165205528","wikidata":"https://www.wikidata.org/wiki/Q83371","display_name":"Seismology","level":1,"score":0.0},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.0},{"id":"https://openalex.org/C172707124","wikidata":"https://www.wikidata.org/wiki/Q423488","display_name":"Actuator","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/1764810.1764831","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1764810.1764831","pdf_url":null,"source":{"id":"https://openalex.org/S186921487","display_name":"ACM SIGSOFT Software Engineering Notes","issn_l":"0163-5948","issn":["0163-5948","1943-5843"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM SIGSOFT Software Engineering Notes","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":20,"referenced_works":["https://openalex.org/W6446302","https://openalex.org/W22166167","https://openalex.org/W609447776","https://openalex.org/W2001604487","https://openalex.org/W2011554117","https://openalex.org/W2025698924","https://openalex.org/W2036138637","https://openalex.org/W2054202902","https://openalex.org/W2060485478","https://openalex.org/W2067402508","https://openalex.org/W2104249068","https://openalex.org/W2120079909","https://openalex.org/W2130912780","https://openalex.org/W2142341014","https://openalex.org/W2143091165","https://openalex.org/W2169038897","https://openalex.org/W2170316986","https://openalex.org/W2229361053","https://openalex.org/W2799664482","https://openalex.org/W6675561796"],"related_works":["https://openalex.org/W1980569859","https://openalex.org/W2149450576","https://openalex.org/W2104937078","https://openalex.org/W873077079","https://openalex.org/W2955825897","https://openalex.org/W2011554117","https://openalex.org/W2898923232","https://openalex.org/W4200502639","https://openalex.org/W1969564565","https://openalex.org/W2078568941"],"abstract_inverted_index":{"The":[0,171,216],"progress":[1],"of":[2,15,24,31,57,65,73,102,162,234],"software":[3,32,83,121,163,187,192],"testing":[4,18,51,156],"is":[5,42],"influenced":[6],"by":[7,90,128],"various":[8,82,95,152],"uncertainty":[9,153],"factors":[10],"like":[11],"effort":[12],"expenditure,":[13],"skill":[14],"test":[16],"personal,":[17],"tool,":[19],"defect":[20],"density,":[21],"irregular":[22,29,44,78,107,143,160,202],"state":[23,30,161,203],"open":[25,185],"source":[26,186],"project,":[27],"and":[28,63,158,204,213],"fault-report":[33,164,193],"phenomena":[34,165,194],"on":[35,166,195],"the":[36,55,74,103,142,146,167,196,223,241],"bug":[37,168,197],"tracking":[38,169,198],"system.":[39,170],"Hence,":[40],"there":[41],"an":[43,130,201],"fluctuation":[45,108,144],"in":[46,109,115,137,145,240],"fault":[47,92,111,118,147,177,188,207,225],"detection/removal":[48],"rate":[49],"during":[50,155],"phase.":[52],"In":[53,80],"software,":[54],"independence":[56],"failures":[58],"can":[59,67],"hardly":[60],"be":[61,69],"assumed":[62],"dependency":[64,93,119,178,226],"faults":[66],"also":[68,237],"considered":[70],"as":[71],"one":[72],"factor":[75,154],"for":[76,232],"getting":[77],"fluctuation.":[79],"Literature,":[81],"reliability":[84,122],"growth":[85,123],"models":[86,104,124,179,218],"have":[87,105,125,180,219,236],"been":[88,126,181,220,238],"developed":[89,127],"considering":[91],"with":[94,210,222],"debugging":[96],"time":[97],"lag":[98],"functions.":[99],"But,":[100],"none":[101],"incorporated":[106],"their":[110],"detection":[112,148],"rate.":[113],"Therefore,":[114],"this":[116],"paper":[117],"based":[120,176],"applying":[129],"It":[131],"\u2227o":[132],"type":[133],"Stochastic":[134],"Differential":[135],"Equations":[136],"order":[138],"to":[139,151],"incorporate":[140],"(i)":[141,184],"process":[149],"due":[150],"phase":[157],"(ii)":[159,205],"proposed":[172,217],"stochastic":[173],"differential":[174],"equation":[175],"validated":[182],"using":[183],"count":[189],"data":[190,209],"where":[191],"system":[199],"keep":[200],"a":[206],"counting":[208],"minor,":[211],"major":[212],"critical":[214],"faults.":[215],"compared":[221],"existing":[224],"models.":[227],"Various":[228],"comparison":[229],"criteria":[230],"results":[231],"goodness":[233],"fit":[235],"presented":[239],"paper.":[242]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
