STATISTICAL SIMULATION OF RELIABILITY OF NETWORKS WITH EXPONENTIALLY DISTRIBUTED UNIT LIFETIMES
In this paper, there were deduced three new lifetime distributions of serial-parallel and parallel-serial networks, their distribution being approached by means of analytical and Monte-Carlo methods. The novelty of the distribution consists in the fact that the number of subnets is random, governed...
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| Format: | Article |
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Technical University of Moldova
2024-09-01
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| Series: | Journal of Engineering Science (Chişinău) |
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| Online Access: | https://press.utm.md/index.php/jes/article/view/2024-31-3-04/04-pdf |
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| author | ROTARU, Maria |
| author_facet | ROTARU, Maria |
| author_sort | ROTARU, Maria |
| collection | DOAJ |
| description | In this paper, there were deduced three new lifetime distributions of serial-parallel and parallel-serial networks, their distribution being approached by means of analytical and Monte-Carlo methods. The novelty of the distribution consists in the fact that the number of subnets is random, governed by the Poisson and Logarithmic distributions, the lifetimes of the units in each subnet being independent, identically, exponentially distributed random variables, the number of units in each subnet is the same constant integer number. It was shown that the most important theoretical characteristics of lifetime for such networks, as the mean value, the variance, the survival/reliability function, my be approximated, with desired accuracy, by the same corresponding characteristics, as the sample mean value, sample variance, empirical survival/reliability function simulated by Monte-Carlo methods. Results are illustrated tabularly and graphically for some concrete examples. |
| format | Article |
| id | doaj-art-027b4311197b46c1a0a77b49a0913b78 |
| institution | Kabale University |
| issn | 2587-3474 2587-3482 |
| language | English |
| publishDate | 2024-09-01 |
| publisher | Technical University of Moldova |
| record_format | Article |
| series | Journal of Engineering Science (Chişinău) |
| spelling | doaj-art-027b4311197b46c1a0a77b49a0913b782025-01-31T07:11:23ZengTechnical University of MoldovaJournal of Engineering Science (Chişinău)2587-34742587-34822024-09-01XXXI34453https://doi.org/10.52326/jes.utm.2024.31(3).04STATISTICAL SIMULATION OF RELIABILITY OF NETWORKS WITH EXPONENTIALLY DISTRIBUTED UNIT LIFETIMESROTARU, Maria0https://orcid.org/0000-0002-3198-0297Technical University of Moldova, 168 Stefan cel Mare Blvd., Chisinau, Republic of MoldovaIn this paper, there were deduced three new lifetime distributions of serial-parallel and parallel-serial networks, their distribution being approached by means of analytical and Monte-Carlo methods. The novelty of the distribution consists in the fact that the number of subnets is random, governed by the Poisson and Logarithmic distributions, the lifetimes of the units in each subnet being independent, identically, exponentially distributed random variables, the number of units in each subnet is the same constant integer number. It was shown that the most important theoretical characteristics of lifetime for such networks, as the mean value, the variance, the survival/reliability function, my be approximated, with desired accuracy, by the same corresponding characteristics, as the sample mean value, sample variance, empirical survival/reliability function simulated by Monte-Carlo methods. Results are illustrated tabularly and graphically for some concrete examples.https://press.utm.md/index.php/jes/article/view/2024-31-3-04/04-pdfmean valuevariancesurvival/reliability functionmonte-carlo methods |
| spellingShingle | ROTARU, Maria STATISTICAL SIMULATION OF RELIABILITY OF NETWORKS WITH EXPONENTIALLY DISTRIBUTED UNIT LIFETIMES Journal of Engineering Science (Chişinău) mean value variance survival/reliability function monte-carlo methods |
| title | STATISTICAL SIMULATION OF RELIABILITY OF NETWORKS WITH EXPONENTIALLY DISTRIBUTED UNIT LIFETIMES |
| title_full | STATISTICAL SIMULATION OF RELIABILITY OF NETWORKS WITH EXPONENTIALLY DISTRIBUTED UNIT LIFETIMES |
| title_fullStr | STATISTICAL SIMULATION OF RELIABILITY OF NETWORKS WITH EXPONENTIALLY DISTRIBUTED UNIT LIFETIMES |
| title_full_unstemmed | STATISTICAL SIMULATION OF RELIABILITY OF NETWORKS WITH EXPONENTIALLY DISTRIBUTED UNIT LIFETIMES |
| title_short | STATISTICAL SIMULATION OF RELIABILITY OF NETWORKS WITH EXPONENTIALLY DISTRIBUTED UNIT LIFETIMES |
| title_sort | statistical simulation of reliability of networks with exponentially distributed unit lifetimes |
| topic | mean value variance survival/reliability function monte-carlo methods |
| url | https://press.utm.md/index.php/jes/article/view/2024-31-3-04/04-pdf |
| work_keys_str_mv | AT rotarumaria statisticalsimulationofreliabilityofnetworkswithexponentiallydistributedunitlifetimes |