{"id":"https://openalex.org/W1837092327","doi":"https://doi.org/10.1142/s021819401100527x","title":"AUTOMATIC VERIFICATION OF OPTIMIZATION ALGORITHMS: A CASE STUDY OF A QUADRATIC ASSIGNMENT PROBLEM SOLVER","display_name":"AUTOMATIC VERIFICATION OF OPTIMIZATION ALGORITHMS: A CASE STUDY OF A QUADRATIC ASSIGNMENT PROBLEM SOLVER","publication_year":2011,"publication_date":"2011-03-01","ids":{"openalex":"https://openalex.org/W1837092327","doi":"https://doi.org/10.1142/s021819401100527x","mag":"1837092327"},"language":"en","primary_location":{"id":"doi:10.1142/s021819401100527x","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s021819401100527x","pdf_url":null,"source":{"id":"https://openalex.org/S131442419","display_name":"International Journal of Software Engineering and Knowledge Engineering","issn_l":"0218-1940","issn":["0218-1940","1793-6403"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Software Engineering and Knowledge Engineering","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/A5006351091","display_name":"Robert Merkel","orcid":"https://orcid.org/0000-0002-0658-9800"},"institutions":[{"id":"https://openalex.org/I56590836","display_name":"Monash University","ror":"https://ror.org/02bfwt286","country_code":"AU","type":"education","lineage":["https://openalex.org/I56590836"]}],"countries":["AU"],"is_corresponding":true,"raw_author_name":"ROBERT MERKEL","raw_affiliation_strings":["Faculty of Information Technology, Monash University, Clayton VIC 3800, Australia","Faculty of Information Technology, Monash University, Clayton, VIC-3800, Australia"],"affiliations":[{"raw_affiliation_string":"Faculty of Information Technology, Monash University, Clayton VIC 3800, Australia","institution_ids":["https://openalex.org/I56590836"]},{"raw_affiliation_string":"Faculty of Information Technology, Monash University, Clayton, VIC-3800, Australia","institution_ids":["https://openalex.org/I56590836"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5023407579","display_name":"Daoming Wang","orcid":null},"institutions":[{"id":"https://openalex.org/I4210128818","display_name":"Institute of Software","ror":"https://ror.org/033dfsn42","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210128818"]},{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"funder","lineage":["https://openalex.org/I19820366"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"DAOMING WANG","raw_affiliation_strings":["Institute of Software, Chinese Academy of Sciences, 4 South Fourth Street, Zhong Guan Cun, Beijing 10090, China"],"affiliations":[{"raw_affiliation_string":"Institute of Software, Chinese Academy of Sciences, 4 South Fourth Street, Zhong Guan Cun, Beijing 10090, China","institution_ids":["https://openalex.org/I4210128818","https://openalex.org/I19820366"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102361409","display_name":"Huimin Lin","orcid":"https://orcid.org/0009-0007-8181-5277"},"institutions":[{"id":"https://openalex.org/I4210128818","display_name":"Institute of Software","ror":"https://ror.org/033dfsn42","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210128818"]},{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"funder","lineage":["https://openalex.org/I19820366"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"HUIMIN LIN","raw_affiliation_strings":["Institute of Software, Chinese Academy of Sciences, 4 South Fourth Street, Zhong Guan Cun, Beijing 10090, China"],"affiliations":[{"raw_affiliation_string":"Institute of Software, Chinese Academy of Sciences, 4 South Fourth Street, Zhong Guan Cun, Beijing 10090, China","institution_ids":["https://openalex.org/I4210128818","https://openalex.org/I19820366"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5035107113","display_name":"Tsong Yueh Chen","orcid":"https://orcid.org/0000-0003-3578-0994"},"institutions":[{"id":"https://openalex.org/I57093077","display_name":"Swinburne University of Technology","ror":"https://ror.org/031rekg67","country_code":"AU","type":"education","lineage":["https://openalex.org/I57093077"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"TSONG YUEH CHEN","raw_affiliation_strings":["Centre for Software Analysis and Testing, Swinburne University of Technology, John Street, Hawthorn 3122, Australia"],"affiliations":[{"raw_affiliation_string":"Centre for Software Analysis and Testing, Swinburne University of Technology, John Street, Hawthorn 3122, Australia","institution_ids":["https://openalex.org/I57093077"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5006351091"],"corresponding_institution_ids":["https://openalex.org/I56590836"],"apc_list":null,"apc_paid":null,"fwci":1.511,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.83568315,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"21","issue":"02","first_page":"289","last_page":"307"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11814","display_name":"Advanced Manufacturing and Logistics Optimization","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11814","display_name":"Advanced Manufacturing and Logistics Optimization","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing 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/T10586","display_name":"Robotic Path Planning Algorithms","score":0.9973999857902527,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T10653","display_name":"Robot Manipulation and Learning","score":0.9901000261306763,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/oracle","display_name":"Oracle","score":0.8004302382469177},{"id":"https://openalex.org/keywords/solver","display_name":"Solver","score":0.7993924617767334},{"id":"https://openalex.org/keywords/correctness","display_name":"Correctness","score":0.6864182949066162},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6225359439849854},{"id":"https://openalex.org/keywords/quadratic-assignment-problem","display_name":"Quadratic assignment problem","score":0.5287924408912659},{"id":"https://openalex.org/keywords/software","display_name":"Software","score":0.4775156080722809},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.47629299759864807},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.45253828167915344},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.43226441740989685},{"id":"https://openalex.org/keywords/boolean-satisfiability-problem","display_name":"Boolean satisfiability problem","score":0.42899760603904724},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4008970856666565},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.23714935779571533},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.10105496644973755}],"concepts":[{"id":"https://openalex.org/C55166926","wikidata":"https://www.wikidata.org/wiki/Q2892946","display_name":"Oracle","level":2,"score":0.8004302382469177},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.7993924617767334},{"id":"https://openalex.org/C55439883","wikidata":"https://www.wikidata.org/wiki/Q360812","display_name":"Correctness","level":2,"score":0.6864182949066162},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6225359439849854},{"id":"https://openalex.org/C98036226","wikidata":"https://www.wikidata.org/wiki/Q7268356","display_name":"Quadratic assignment problem","level":3,"score":0.5287924408912659},{"id":"https://openalex.org/C2777904410","wikidata":"https://www.wikidata.org/wiki/Q7397","display_name":"Software","level":2,"score":0.4775156080722809},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.47629299759864807},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.45253828167915344},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.43226441740989685},{"id":"https://openalex.org/C6943359","wikidata":"https://www.wikidata.org/wiki/Q875276","display_name":"Boolean satisfiability problem","level":2,"score":0.42899760603904724},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4008970856666565},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.23714935779571533},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.10105496644973755},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1142/s021819401100527x","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s021819401100527x","pdf_url":null,"source":{"id":"https://openalex.org/S131442419","display_name":"International Journal of Software Engineering and Knowledge Engineering","issn_l":"0218-1940","issn":["0218-1940","1793-6403"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Software Engineering and Knowledge Engineering","raw_type":"journal-article"},{"id":"pmh:oai:researchbank.swinburne.edu.au:edadd06a-0317-4122-b2a5-6fbff2e40189/1","is_oa":false,"landing_page_url":"http://hdl.handle.net/1959.3/198858","pdf_url":null,"source":{"id":"https://openalex.org/S4306401157","display_name":"Swinburne Research Bank (Swinburne University of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I57093077","host_organization_name":"Swinburne University of Technology","host_organization_lineage":["https://openalex.org/I57093077"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"International Journal of Software Engineering and Knowledge Engineering, Vol. 21, no. 2 (Mar 2011), pp. 289-307","raw_type":""}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions","score":0.5400000214576721}],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W60343698","https://openalex.org/W189851142","https://openalex.org/W1488397247","https://openalex.org/W1503085769","https://openalex.org/W2079245732","https://openalex.org/W2118577607","https://openalex.org/W2141933055","https://openalex.org/W2143702316","https://openalex.org/W2165708913","https://openalex.org/W2401300680","https://openalex.org/W3121235808","https://openalex.org/W4300999067"],"related_works":["https://openalex.org/W3008339103","https://openalex.org/W2404647514","https://openalex.org/W1667647204","https://openalex.org/W3119814709","https://openalex.org/W2018477250","https://openalex.org/W1508895727","https://openalex.org/W4241418540","https://openalex.org/W2115480761","https://openalex.org/W4386614288","https://openalex.org/W2920896101"],"abstract_inverted_index":{"Metamorphic":[0],"testing":[1,14,37,102],"is":[2,21],"a":[3,12,22,62,73,95,141],"technique":[4],"for":[5,24,68,111],"the":[6,43,52,55,70,79,108,116],"verification":[7,26],"of":[8,51,54,64,72,81,89,119],"software":[9],"output":[10],"without":[11],"complete":[13],"oracle.":[15,97],"Mathematical":[16],"optimization,":[17],"implemented":[18],"in":[19,85,126],"software,":[20],"problem":[23,46],"which":[25],"can":[27,103,134],"often":[28],"be":[29,104,135],"challenging.":[30],"In":[31],"this":[32],"paper,":[33],"we":[34,57],"apply":[35],"metamorphic":[36,65,83,101,121,132],"to":[38,60,94],"one":[39],"such":[40],"optimization":[41],"problem,":[42],"quadratic":[44],"assignment":[45],"(QAP).":[47],"From":[48],"simple":[49],"observations":[50],"properties":[53],"QAP,":[56],"describe":[58],"how":[59],"derive":[61],"number":[63],"relations":[66,133],"useful":[67],"verifying":[69],"correctness":[71],"QAP":[74,92],"solver.":[75],"We":[76,98,114],"then":[77],"compare":[78],"effectiveness":[80,118],"these":[82],"relations,":[84,122],"\"killing\"":[86],"mutant":[87],"versions":[88],"an":[90],"exact":[91],"solver,":[93],"simulated":[96,109],"show":[99],"that":[100,130],"as":[105,107],"effective":[106,138],"oracle":[110],"killing":[112],"mutants.":[113],"examine":[115],"relative":[117],"different":[120],"both":[123],"singly":[124],"and":[125,128],"combination,":[127],"conclude":[129],"combining":[131],"significantly":[136],"more":[137],"than":[139],"using":[140],"single":[142],"relation.":[143]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}