RELIABILITY OF SERIAL-PARALLEL NETWORKS VS RELIABILITY OF PARALLELSERIAL NETWORKS WITH CONSTANT NUMBERS OF SUB-NETWORKS AND UNITS
In this paper it is performed, based on dynamic models, a comparative analysis of the reliability of two types of networks: serial-parallel and parallel-serial networks when the numbers of subnets and units in each subnet are predefined, constant numbers, but also when the lifetimes of the units are...
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| Format: | Article |
| Language: | English |
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Technical University of Moldova
2022-12-01
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| Series: | Journal of Engineering Science (Chişinău) |
| Subjects: | |
| Online Access: | https://jes.utm.md/wp-content/uploads/sites/20/2023/01/JES-4-2022_17-26.pdf |
| _version_ | 1797643317644623872 |
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| author | ANDRIEVSCHI-BAGRIN, Veronica LEAHU, Alexei |
| author_facet | ANDRIEVSCHI-BAGRIN, Veronica LEAHU, Alexei |
| author_sort | ANDRIEVSCHI-BAGRIN, Veronica |
| collection | DOAJ |
| description | In this paper it is performed, based on dynamic models, a comparative analysis of the reliability of two types of networks: serial-parallel and parallel-serial networks when the numbers of subnets and units in each subnet are predefined, constant numbers, but also when the lifetimes of the units are independent random variables. The equations for calculating the reliability of the related networks have been deduced. These functions are deduced for the dynamic model which is less studied and it is prooved to be relevant to the static model too. All equations are demonstrated and graphically illustrated in some examples. A few examples are analyzed graphically for different values of the number of units in the subnet and the number of subnets. This paper contains four different network topology models which are also analyzed by equations and graphically. The mathematical model described and the deduced equations will serve as a basis for the subsequent analysis of the dynamic networks of various topologies and various types of random variables that describe the lifetimes of the units of the analyzed system. |
| first_indexed | 2024-03-11T14:13:05Z |
| format | Article |
| id | doaj.art-437d68c1e790497f9b51dd31ab97625a |
| institution | Directory Open Access Journal |
| issn | 2587-3474 2587-3482 |
| language | English |
| last_indexed | 2024-03-11T14:13:05Z |
| publishDate | 2022-12-01 |
| publisher | Technical University of Moldova |
| record_format | Article |
| series | Journal of Engineering Science (Chişinău) |
| spelling | doaj.art-437d68c1e790497f9b51dd31ab97625a2023-11-01T14:46:01ZengTechnical University of MoldovaJournal of Engineering Science (Chişinău)2587-34742587-34822022-12-01XXIX41726https://doi.org/10.52326/jes.utm.2022.29(4).02RELIABILITY OF SERIAL-PARALLEL NETWORKS VS RELIABILITY OF PARALLELSERIAL NETWORKS WITH CONSTANT NUMBERS OF SUB-NETWORKS AND UNITSANDRIEVSCHI-BAGRIN, Veronica0https://orcid.org/0000-0001-8364-9873LEAHU, Alexei1https://orcid.org/0000-0002-1670-0111Technical University of Moldova, 168 Stefan cel Mare Blvd., Chisinau, Republic of MoldovaTechnical University of Moldova, 168 Stefan cel Mare Blvd., Chisinau, Republic of MoldovaIn this paper it is performed, based on dynamic models, a comparative analysis of the reliability of two types of networks: serial-parallel and parallel-serial networks when the numbers of subnets and units in each subnet are predefined, constant numbers, but also when the lifetimes of the units are independent random variables. The equations for calculating the reliability of the related networks have been deduced. These functions are deduced for the dynamic model which is less studied and it is prooved to be relevant to the static model too. All equations are demonstrated and graphically illustrated in some examples. A few examples are analyzed graphically for different values of the number of units in the subnet and the number of subnets. This paper contains four different network topology models which are also analyzed by equations and graphically. The mathematical model described and the deduced equations will serve as a basis for the subsequent analysis of the dynamic networks of various topologies and various types of random variables that describe the lifetimes of the units of the analyzed system.https://jes.utm.md/wp-content/uploads/sites/20/2023/01/JES-4-2022_17-26.pdfcumulative distribution functiondistributionsglobal maximumlifetimesurvival functions |
| spellingShingle | ANDRIEVSCHI-BAGRIN, Veronica LEAHU, Alexei RELIABILITY OF SERIAL-PARALLEL NETWORKS VS RELIABILITY OF PARALLELSERIAL NETWORKS WITH CONSTANT NUMBERS OF SUB-NETWORKS AND UNITS Journal of Engineering Science (Chişinău) cumulative distribution function distributions global maximum lifetime survival functions |
| title | RELIABILITY OF SERIAL-PARALLEL NETWORKS VS RELIABILITY OF PARALLELSERIAL NETWORKS WITH CONSTANT NUMBERS OF SUB-NETWORKS AND UNITS |
| title_full | RELIABILITY OF SERIAL-PARALLEL NETWORKS VS RELIABILITY OF PARALLELSERIAL NETWORKS WITH CONSTANT NUMBERS OF SUB-NETWORKS AND UNITS |
| title_fullStr | RELIABILITY OF SERIAL-PARALLEL NETWORKS VS RELIABILITY OF PARALLELSERIAL NETWORKS WITH CONSTANT NUMBERS OF SUB-NETWORKS AND UNITS |
| title_full_unstemmed | RELIABILITY OF SERIAL-PARALLEL NETWORKS VS RELIABILITY OF PARALLELSERIAL NETWORKS WITH CONSTANT NUMBERS OF SUB-NETWORKS AND UNITS |
| title_short | RELIABILITY OF SERIAL-PARALLEL NETWORKS VS RELIABILITY OF PARALLELSERIAL NETWORKS WITH CONSTANT NUMBERS OF SUB-NETWORKS AND UNITS |
| title_sort | reliability of serial parallel networks vs reliability of parallelserial networks with constant numbers of sub networks and units |
| topic | cumulative distribution function distributions global maximum lifetime survival functions |
| url | https://jes.utm.md/wp-content/uploads/sites/20/2023/01/JES-4-2022_17-26.pdf |
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