{"paper":{"title":"Active Redundancy Allocation Strategy at Component and System Level","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"Sufficient conditions establish optimal ways to allocate two heterogeneous active redundancies in coherent systems with dependent components.","cross_cats":["cs.IT","math.IT"],"primary_cat":"stat.AP","authors_text":"Amarjit Kundu, Bidhan Modok, Shovan Chowdhury","submitted_at":"2026-05-15T10:20:44Z","abstract_excerpt":"Researchers and practitioners in the field of reliability engineering and optimization frequently use active redundancy techniques to intensify the performance of systems. In this article, we study allocation strategies of non-matching active redundancies (spares) in coherent systems consisting of possibly dependent and identical components for achieving better system reliability. The dependence of the components is modeled through copulas using the distortion function. Sufficient conditions are derived to establish optimal allocation strategies for two heterogeneous active redundancies at the"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"Sufficient conditions are derived to establish optimal allocation strategies for two heterogeneous active redundancies at the component or system levels. The results guarantee the likelihood ratio (reversed hazard) ordering between the coherent systems at the component level (system level) active redundancies.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The system is coherent, components are identical, and their dependence is modeled through copulas using the distortion function; this modeling choice is required for the ordering results to hold across the general family of parametric distributions.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"Derives sufficient conditions for optimal allocation of two heterogeneous active redundancies at component or system level in coherent systems with copula-modeled dependence, guaranteeing likelihood ratio ordering at component level and reversed hazard ordering at system level for general parametric","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"Sufficient conditions establish optimal ways to allocate two heterogeneous active redundancies in coherent systems with dependent components.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"13f5fed6fa4b7c734c2379d055961e678ad63cd79205cf6af33e6d2c38096c14"},"source":{"id":"2605.15823","kind":"arxiv","version":1},"verdict":{"id":"d59dd42d-a09d-4549-88f6-1208d121d497","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-19T19:37:47.932256Z","strongest_claim":"Sufficient conditions are derived to establish optimal allocation strategies for two heterogeneous active redundancies at the component or system levels. The results guarantee the likelihood ratio (reversed hazard) ordering between the coherent systems at the component level (system level) active redundancies.","one_line_summary":"Derives sufficient conditions for optimal allocation of two heterogeneous active redundancies at component or system level in coherent systems with copula-modeled dependence, guaranteeing likelihood ratio ordering at component level and reversed hazard ordering at system level for general parametric","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The system is coherent, components are identical, and their dependence is modeled through copulas using the distortion function; this modeling choice is required for the ordering results to hold across the general family of parametric distributions.","pith_extraction_headline":"Sufficient conditions establish optimal ways to allocate two heterogeneous active redundancies in coherent systems with dependent components."},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2605.15823/integrity.json","findings":[],"available":true,"detectors_run":[{"name":"doi_title_agreement","ran_at":"2026-05-19T20:01:19.136138Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"doi_compliance","ran_at":"2026-05-19T19:50:55.451303Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"ai_meta_artifact","ran_at":"2026-05-19T17:33:48.723470Z","status":"skipped","version":"1.0.0","findings_count":0},{"name":"claim_evidence","ran_at":"2026-05-19T17:21:55.869853Z","status":"completed","version":"1.0.0","findings_count":0}],"snapshot_sha256":"0325780ba60c224bbb671f372831bc212e206de6f6008f955b61c57a9b4bd7b2"},"references":{"count":26,"sample":[{"doi":"","year":2005,"title":"Ahmad, I.A., & Kayid, M. (2005). Characterizations of the RHR and MIT orderings and the DRHR and IMIT classes of life distributions.Probability in the engineering and infor- mation sciences,19, 447-46","work_id":"c572682e-3e25-429c-82e1-ca3b08f12bbc","ref_index":1,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":1981,"title":"Silver Spring, MD: Madison, 1981","work_id":"d2fd89b3-3ced-4a9f-b21b-234e28b79b9a","ref_index":2,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":1995,"title":"Boland, P.J., & El-Neweihi, E. (1995). Component redundancy versus system redundancy in the hazard rate ordering.IEEE Transactions on Reliability,44(4), 614–619","work_id":"d05fc58d-9ea2-4741-b14a-fc0746064ac5","ref_index":3,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2011,"title":"Brito, G., Zequeira, R. I., & Vald´ es, J. E. (2011). On the hazard rate and reversed hazard rate orderings in two-component series systems with active redundancies. 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