A General Type of Linear Consecutive-K Systems
| dc.contributor.author | Yi, He | |
| dc.contributor.author | Balakrishnan, Narayanaswamy | |
| dc.contributor.author | Li, Xiang | |
| dc.date.accessioned | 2026-03-05T15:07:34Z | |
| dc.date.available | 2026-03-05T15:07:34Z | |
| dc.date.issued | 2026 | |
| dc.description.abstract | In this paper, some well-known consecutive k-type systems, including linear consecutive-k-out-of-n: F systems and linear l-consecutive-k-out-of-n: F systems without/with overlapping, are generalized by using more general failure patterns. Finite Markov chain imbedding approach (FMCIA) is applied in a new way for evaluating reliabilities of these generalized new systems. Some illustrative examples are provided for demonstrating the theoretical results established here and also for showing the efficiency of the computational process. Finally, some possible applications and generalizations are mentioned. | en_US |
| dc.description.sponsorship | Natural Sciences and Engineering Research Council of Canada [RGPIN-2020-06733]; China Scholarship Council [202406880014]; Fundamental Research Funds for the Central Universities [buctrc202102]; National Natural Science Foundation of China [U2469202]; Beijing Natural Science Foundation [9242011] | en_US |
| dc.description.sponsorship | This work was supported by the Beijing Natural Science Foundation (No. 9242011), the National Natural Science Foundation of China (No. U2469202 and No. W2411066), the China Scholarship Council, the Fundamental Research Funds for the Central Universities (buctrc202102), and the Natural Sciences and Engineering Research Council of Canada (to the second author) through an Individual Discovery Grant (RGPIN-2020-06733). | en_US |
| dc.description.sponsorship | China Scholarship Council, CSC; Fundamental Research Funds for the Central Universities, (buctrc202102); Natural Science Foundation of Beijing Municipality, (9242011); Natural Sciences and Engineering Research Council of Canada, NSERC, (RGPIN-2020-06733); National Natural Science Foundation of China, NNSFC, (U2469202, W2411066) | |
| dc.identifier.doi | 10.1007/s11009-026-10246-1 | |
| dc.identifier.issn | 1387-5841 | |
| dc.identifier.issn | 1573-7713 | |
| dc.identifier.scopus | 2-s2.0-105030357044 | |
| dc.identifier.uri | https://doi.org/10.1007/s11009-026-10246-1 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14411/11203 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer | en_US |
| dc.relation.ispartof | Methodology and Computing in Applied Probability | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Without/With Overlapping | en_US |
| dc.subject | Reliability | en_US |
| dc.subject | Finite Markov Chain Imbedding Approach (FMCIA) | en_US |
| dc.subject | Consecutive K-Type System | en_US |
| dc.subject | Without/With Overlapping | en_US |
| dc.subject | Reliability | en_US |
| dc.subject | Finite Markov Chain Imbedding Approach (FMCIA) | en_US |
| dc.subject | Consecutive -Type System | |
| dc.title | A General Type of Linear Consecutive-K Systems | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
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| gdc.description.department | Atılım University | en_US |
| gdc.description.departmenttemp | [Yi, He] Beijing Univ Chem Technol, Sch Econ & Management, Beijing 100029, Peoples R China; [Balakrishnan, Narayanaswamy] McMaster Univ, Dept Math & Stat, Hamilton, ON L8S 4K1, Canada; [Balakrishnan, Narayanaswamy] Atilim Univ, Dept Math, TR-06836 Ankara, Turkiye; [Li, Xiang] Beijing Inst Technol, Sch Management, Beijing 100081, Peoples R China | en_US |
| gdc.description.issue | 1 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.volume | 28 | en_US |
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