{"id":"https://openalex.org/W7116284884","doi":"https://doi.org/10.1016/j.ress.2025.112121","title":"Computing the reliability of hammock networks in quadratic time with respect to length","display_name":"Computing the reliability of hammock networks in quadratic time with respect to length","publication_year":2025,"publication_date":"2025-12-20","ids":{"openalex":"https://openalex.org/W7116284884","doi":"https://doi.org/10.1016/j.ress.2025.112121"},"language":"en","primary_location":{"id":"doi:10.1016/j.ress.2025.112121","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.ress.2025.112121","pdf_url":null,"source":{"id":"https://openalex.org/S202403813","display_name":"Reliability Engineering & System Safety","issn_l":"0951-8320","issn":["0951-8320","1879-0836"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Reliability Engineering & System Safety","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1016/j.ress.2025.112121","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5026685766","display_name":"Mihail Jianu","orcid":null},"institutions":[{"id":"https://openalex.org/I148178115","display_name":"Technical University of Civil Engineering of Bucharest","ror":"https://ror.org/03d187f57","country_code":"RO","type":"education","lineage":["https://openalex.org/I148178115"]}],"countries":["RO"],"is_corresponding":false,"raw_author_name":"Mihail Jianu","raw_affiliation_strings":["DFINITY Foundation, Zurich, Switzerland","Department of Mathematics and Computer Science, Technical University of Civil Engineering of Bucharest, 124 Lacul Tei Blvd., Bucharest, RO-020396, Romania"],"affiliations":[{"raw_affiliation_string":"DFINITY Foundation, Zurich, Switzerland","institution_ids":[]},{"raw_affiliation_string":"Department of Mathematics and Computer Science, Technical University of Civil Engineering of Bucharest, 124 Lacul Tei Blvd., Bucharest, RO-020396, Romania","institution_ids":["https://openalex.org/I148178115"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5004855138","display_name":"Marilena Jianu","orcid":"https://orcid.org/0000-0002-2718-8133"},"institutions":[{"id":"https://openalex.org/I148178115","display_name":"Technical University of Civil Engineering of Bucharest","ror":"https://ror.org/03d187f57","country_code":"RO","type":"education","lineage":["https://openalex.org/I148178115"]}],"countries":["RO"],"is_corresponding":true,"raw_author_name":"Mihail Jianu","raw_affiliation_strings":["DFINITY Foundation, Zurich, Switzerland","Department of Mathematics and Computer Science, Technical University of Civil Engineering of Bucharest, 124 Lacul Tei Blvd., Bucharest, RO-020396, Romania"],"affiliations":[{"raw_affiliation_string":"DFINITY Foundation, Zurich, Switzerland","institution_ids":[]},{"raw_affiliation_string":"Department of Mathematics and Computer Science, Technical University of Civil Engineering of Bucharest, 124 Lacul Tei Blvd., Bucharest, RO-020396, Romania","institution_ids":["https://openalex.org/I148178115"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5004855138","display_name":"Marilena Jianu","orcid":"https://orcid.org/0000-0002-2718-8133"},"institutions":[{"id":"https://openalex.org/I148178115","display_name":"Technical University of Civil Engineering of Bucharest","ror":"https://ror.org/03d187f57","country_code":"RO","type":"education","lineage":["https://openalex.org/I148178115"]}],"countries":["RO"],"is_corresponding":false,"raw_author_name":"Marilena Jianu","raw_affiliation_strings":["DFINITY Foundation, Zurich, Switzerland","Department of Mathematics and Computer Science, Technical University of Civil Engineering of Bucharest, 124 Lacul Tei Blvd., Bucharest, RO-020396, Romania"],"affiliations":[{"raw_affiliation_string":"DFINITY Foundation, Zurich, Switzerland","institution_ids":[]},{"raw_affiliation_string":"Department of Mathematics and Computer Science, Technical University of Civil Engineering of Bucharest, 124 Lacul Tei Blvd., Bucharest, RO-020396, Romania","institution_ids":["https://openalex.org/I148178115"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5004855138","display_name":"Marilena Jianu","orcid":"https://orcid.org/0000-0002-2718-8133"},"institutions":[{"id":"https://openalex.org/I148178115","display_name":"Technical University of Civil Engineering of Bucharest","ror":"https://ror.org/03d187f57","country_code":"RO","type":"education","lineage":["https://openalex.org/I148178115"]}],"countries":["RO"],"is_corresponding":true,"raw_author_name":"Marilena Jianu","raw_affiliation_strings":["DFINITY Foundation, Zurich, Switzerland","Department of Mathematics and Computer Science, Technical University of Civil Engineering of Bucharest, 124 Lacul Tei Blvd., Bucharest, RO-020396, Romania"],"affiliations":[{"raw_affiliation_string":"DFINITY Foundation, Zurich, Switzerland","institution_ids":[]},{"raw_affiliation_string":"Department of Mathematics and Computer Science, Technical University of Civil Engineering of Bucharest, 124 Lacul Tei Blvd., Bucharest, RO-020396, Romania","institution_ids":["https://openalex.org/I148178115"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5071898569","display_name":"Leonard D\u0103u\u015f","orcid":"https://orcid.org/0000-0002-2770-023X"},"institutions":[{"id":"https://openalex.org/I148178115","display_name":"Technical University of Civil Engineering of Bucharest","ror":"https://ror.org/03d187f57","country_code":"RO","type":"education","lineage":["https://openalex.org/I148178115"]}],"countries":["RO"],"is_corresponding":false,"raw_author_name":"Leonard D\u0103u\u015f","raw_affiliation_strings":["Department of Mathematics and Computer Science, Technical University of Civil Engineering of Bucharest, 124 Lacul Tei Blvd., Bucharest, RO-020396, Romania"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, Technical University of Civil Engineering of Bucharest, 124 Lacul Tei Blvd., Bucharest, RO-020396, Romania","institution_ids":["https://openalex.org/I148178115"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5103819348","display_name":"Valeriu Beiu","orcid":"https://orcid.org/0000-0001-8185-956X"},"institutions":[{"id":"https://openalex.org/I64956957","display_name":"Aurel Vlaicu University of Arad","ror":"https://ror.org/05w5rsy15","country_code":"RO","type":"education","lineage":["https://openalex.org/I64956957"]}],"countries":["RO"],"is_corresponding":false,"raw_author_name":"Valeriu Beiu","raw_affiliation_strings":["Faculty of Exact Sciences, \u201cAurel Vlaicu\u201d University of Arad, 77 Revolu\u0163iei Blvd., Arad, RO-310330, Romania"],"affiliations":[{"raw_affiliation_string":"Faculty of Exact Sciences, \u201cAurel Vlaicu\u201d University of Arad, 77 Revolu\u0163iei Blvd., Arad, RO-310330, Romania","institution_ids":["https://openalex.org/I64956957"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5004855138"],"corresponding_institution_ids":["https://openalex.org/I148178115"],"apc_list":{"value":4190,"currency":"USD","value_usd":4190},"apc_paid":{"value":4190,"currency":"USD","value_usd":4190},"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.61850153,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"270","issue":null,"first_page":"112121","last_page":"112121"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10780","display_name":"Reliability and Maintenance Optimization","score":0.8205999732017517,"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"}},"topics":[{"id":"https://openalex.org/T10780","display_name":"Reliability and Maintenance Optimization","score":0.8205999732017517,"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/T10829","display_name":"Interconnection Networks and Systems","score":0.050999999046325684,"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/T10974","display_name":"Advanced Queuing Theory Analysis","score":0.020400000736117363,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/reliability","display_name":"Reliability (semiconductor)","score":0.7476999759674072},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.6908000111579895},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.644599974155426},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.47209998965263367},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.45159998536109924},{"id":"https://openalex.org/keywords/quadratic-function","display_name":"Quadratic function","score":0.414000004529953},{"id":"https://openalex.org/keywords/reliability-theory","display_name":"Reliability theory","score":0.4011000096797943}],"concepts":[{"id":"https://openalex.org/C43214815","wikidata":"https://www.wikidata.org/wiki/Q7310987","display_name":"Reliability (semiconductor)","level":3,"score":0.7476999759674072},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.6908000111579895},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.644599974155426},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5101000070571899},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.47209998965263367},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.45159998536109924},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.42480000853538513},{"id":"https://openalex.org/C166437778","wikidata":"https://www.wikidata.org/wiki/Q50695","display_name":"Quadratic function","level":3,"score":0.414000004529953},{"id":"https://openalex.org/C201729545","wikidata":"https://www.wikidata.org/wiki/Q2193887","display_name":"Reliability theory","level":3,"score":0.4011000096797943},{"id":"https://openalex.org/C85384003","wikidata":"https://www.wikidata.org/wiki/Q5421525","display_name":"Exponential polynomial","level":3,"score":0.38040000200271606},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3702000081539154},{"id":"https://openalex.org/C55350006","wikidata":"https://www.wikidata.org/wiki/Q237193","display_name":"Exponential distribution","level":2,"score":0.3662000000476837},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.35989999771118164},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.35429999232292175},{"id":"https://openalex.org/C3017489831","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Running time","level":2,"score":0.35269999504089355},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3228999972343445},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.30250000953674316},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.28929999470710754},{"id":"https://openalex.org/C3018263672","wikidata":"https://www.wikidata.org/wiki/Q1296251","display_name":"Efficient algorithm","level":2,"score":0.26570001244544983},{"id":"https://openalex.org/C81845259","wikidata":"https://www.wikidata.org/wiki/Q290117","display_name":"Quadratic programming","level":2,"score":0.2572999894618988},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.25119999051094055}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/j.ress.2025.112121","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.ress.2025.112121","pdf_url":null,"source":{"id":"https://openalex.org/S202403813","display_name":"Reliability Engineering & System Safety","issn_l":"0951-8320","issn":["0951-8320","1879-0836"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Reliability Engineering & System Safety","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1016/j.ress.2025.112121","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.ress.2025.112121","pdf_url":null,"source":{"id":"https://openalex.org/S202403813","display_name":"Reliability Engineering & System Safety","issn_l":"0951-8320","issn":["0951-8320","1879-0836"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Reliability Engineering & System Safety","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":45,"referenced_works":["https://openalex.org/W1991536882","https://openalex.org/W2008013300","https://openalex.org/W2008750370","https://openalex.org/W2014091871","https://openalex.org/W2113136889","https://openalex.org/W2115826669","https://openalex.org/W2121832783","https://openalex.org/W2136443754","https://openalex.org/W2169621137","https://openalex.org/W2296084214","https://openalex.org/W2307928252","https://openalex.org/W2482126025","https://openalex.org/W2616775209","https://openalex.org/W2744937545","https://openalex.org/W2800247794","https://openalex.org/W2803767842","https://openalex.org/W2808798366","https://openalex.org/W2893009137","https://openalex.org/W2913109207","https://openalex.org/W2921135591","https://openalex.org/W2941939494","https://openalex.org/W2963908124","https://openalex.org/W2974843954","https://openalex.org/W2982169647","https://openalex.org/W3020593170","https://openalex.org/W3049700057","https://openalex.org/W3107655780","https://openalex.org/W3119687213","https://openalex.org/W3123502897","https://openalex.org/W3170649079","https://openalex.org/W3212151847","https://openalex.org/W4205454004","https://openalex.org/W4387087811","https://openalex.org/W4388277168","https://openalex.org/W4389339821","https://openalex.org/W4389410277","https://openalex.org/W4391288600","https://openalex.org/W4391388288","https://openalex.org/W4399964136","https://openalex.org/W4405982129","https://openalex.org/W4406693713","https://openalex.org/W4408072011","https://openalex.org/W4408902892","https://openalex.org/W4409382818","https://openalex.org/W4410111910"],"related_works":[],"abstract_inverted_index":{"The":[0],"paper":[1],"introduces":[2],"an":[3],"efficient":[4],"algorithm":[5,48,69],"for":[6,92],"computing":[7],"the":[8,93,97,113],"reliability":[9,52,98],"polynomial":[10,53],"of":[11,17,26,100,103],"hammock":[12,15,101],"networks.":[13],"A":[14,46],"network":[16],"length":[18],"l":[19,29,63,85],"and":[20,70],"width":[21],"w":[22,27,61,77],"is":[23,74],"made":[24],"up":[25],"\u00d7":[28,62],"identical":[30],"devices":[31],"that":[32,72],"independently":[33],"work":[34],"with":[35,40],"probability":[36,41],"p":[37,44],"(and":[38],"fail":[39],"1":[42],"\u2212":[43],").":[45],"brute-force":[47],"to":[49,90],"compute":[50],"its":[51],"would":[54],"require":[55],"a":[56,67],"running":[57],"time":[58,95],"exponential":[59,75],"in":[60,76,84,112],".":[64,86],"We":[65],"introduce":[66],"new":[68],"prove":[71],"it":[73],"(as":[78],"expected),":[79],"while":[80],"being":[81],"only":[82],"quadratic":[83],"This":[87],"allows":[88],"us":[89],"compute,":[91],"first":[94],"ever,":[96],"polynomials":[99],"networks":[102],"dimensions":[104],"significantly":[105],"larger":[106],"than":[107],"8":[108],"(the":[109],"largest":[110],"reported":[111],"literature).":[114]},"counts_by_year":[],"updated_date":"2026-04-04T06:10:10.580331","created_date":"2025-12-21T00:00:00"}