On a vacation queue with two parallel severs each equipped with a stand-by
The paper studies an M/M/2 queueing system in which each server is equipped with a stand-by. The stand-by are employed only during the vacation períods of main severs. The vacation periods of the two severs are aasumed to be independent with an identical exponential distribution. The time dependent...
- Autores:
-
Madan, K. C.
- Tipo de recurso:
- Article of journal
- Fecha de publicación:
- 1994
- Institución:
- Universidad Nacional de Colombia
- Repositorio:
- Universidad Nacional de Colombia
- Idioma:
- spa
- OAI Identifier:
- oai:repositorio.unal.edu.co:unal/24369
- Acceso en línea:
- https://repositorio.unal.edu.co/handle/unal/24369
http://bdigital.unal.edu.co/15406/
- Palabra clave:
- Estadística matemática
Modelo de Poisson
Transformación de laplace
Estadística matemática
Modelo de Poisson
Transformación de laplace
- Rights
- openAccess
- License
- Atribución-NoComercial 4.0 Internacional
| Summary: | The paper studies an M/M/2 queueing system in which each server is equipped with a stand-by. The stand-by are employed only during the vacation períods of main severs. The vacation periods of the two severs are aasumed to be independent with an identical exponential distribution. The time dependent results giving probability generating functions for the number in the system under various states have been obtained and in a particular case a known result has been derived at. The corresponding steady state results are also derived. |
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