STOCHASTIC PROCESSES AND SOME APPLICATIONS
In this paper, we discuss about some applications to the birth and death process in biology and in the theory of waiting. First, we introduce some theoretical notions about the stochastic processes and we define the Markov chain and the Poisson process. Afterwards, we consider two processes of birth...
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| Format: | Article |
| Language: | English |
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University of Agricultural Sciences and Veterinary Medicine, Bucharest
2016-01-01
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| Series: | Scientific Papers Series : Management, Economic Engineering in Agriculture and Rural Development |
| Online Access: | https://managementjournal.usamv.ro/pdf/vol.16_4/Art53.pdf |
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| _version_ | 1849692878846033920 |
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| author | Mioara VARGA Mihaela GHIDURUS Alex CALIN |
| author_facet | Mioara VARGA Mihaela GHIDURUS Alex CALIN |
| author_sort | Mioara VARGA |
| collection | DOAJ |
| description | In this paper, we discuss about some applications to the birth and death process in biology and in the theory of waiting. First, we introduce some theoretical notions about the stochastic processes and we define the Markov chain and the Poisson process. Afterwards, we consider two processes of birth: "The Poissonian tide of particles” and “ The Yule-Furry process”, that have multiple applications, the theory of waiting being one of them. Finally, by using the theoretical concept presented above, we solve two examples: the first is a problem from veterinary medicine, and the second one is an example of the model M/M/1 from agriculture, which means if the entrance, the time of serving and the number of stations are given, we'll calculate the number of the biological units in system, the medium number of the applicants in line and the medium time of waiting. |
| format | Article |
| id | doaj-art-4f3331b50f86407d8d45b3d15bb1e3f2 |
| institution | DOAJ |
| issn | 2284-7995 2285-3952 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | University of Agricultural Sciences and Veterinary Medicine, Bucharest |
| record_format | Article |
| series | Scientific Papers Series : Management, Economic Engineering in Agriculture and Rural Development |
| spelling | doaj-art-4f3331b50f86407d8d45b3d15bb1e3f22025-08-20T03:20:36ZengUniversity of Agricultural Sciences and Veterinary Medicine, BucharestScientific Papers Series : Management, Economic Engineering in Agriculture and Rural Development2284-79952285-39522016-01-011643793843428STOCHASTIC PROCESSES AND SOME APPLICATIONSMioara VARGAMihaela GHIDURUSAlex CALINIn this paper, we discuss about some applications to the birth and death process in biology and in the theory of waiting. First, we introduce some theoretical notions about the stochastic processes and we define the Markov chain and the Poisson process. Afterwards, we consider two processes of birth: "The Poissonian tide of particles” and “ The Yule-Furry process”, that have multiple applications, the theory of waiting being one of them. Finally, by using the theoretical concept presented above, we solve two examples: the first is a problem from veterinary medicine, and the second one is an example of the model M/M/1 from agriculture, which means if the entrance, the time of serving and the number of stations are given, we'll calculate the number of the biological units in system, the medium number of the applicants in line and the medium time of waiting.https://managementjournal.usamv.ro/pdf/vol.16_4/Art53.pdf |
| spellingShingle | Mioara VARGA Mihaela GHIDURUS Alex CALIN STOCHASTIC PROCESSES AND SOME APPLICATIONS Scientific Papers Series : Management, Economic Engineering in Agriculture and Rural Development |
| title | STOCHASTIC PROCESSES AND SOME APPLICATIONS |
| title_full | STOCHASTIC PROCESSES AND SOME APPLICATIONS |
| title_fullStr | STOCHASTIC PROCESSES AND SOME APPLICATIONS |
| title_full_unstemmed | STOCHASTIC PROCESSES AND SOME APPLICATIONS |
| title_short | STOCHASTIC PROCESSES AND SOME APPLICATIONS |
| title_sort | stochastic processes and some applications |
| url | https://managementjournal.usamv.ro/pdf/vol.16_4/Art53.pdf |
| work_keys_str_mv | AT mioaravarga stochasticprocessesandsomeapplications AT mihaelaghidurus stochasticprocessesandsomeapplications AT alexcalin stochasticprocessesandsomeapplications |