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Palabras claves o descriptores: TANDEN QUEUES (Comienzo)
2 registros cumplieron la condición especificada en la base de información BIBCYT. ()
Registro 1 de 2, Base de información BIBCYT
Publicación seriada
Referencias AnalíticasReferencias Analíticas
Autor: Knessl, Charles ; Tier, Charles
Título: Two Tandem Queues With general Renewal input I: Diffusion Aproximation and Integral Representations
Páginas/Colación: pp. 1917-1959
Url: Ir a http://siamdl.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=SMJMAP000059000006001917000001&idtype=cvips&gifs=Yeshttp://siamdl.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=SMJMAP000059000006001917000001&idtype=cvips&gifs=Yes
SIAM Journal on Applied Mathematics Vol. 59, no. 6 Aug./Oct. 1999
Información de existenciaInformación de existencia

Palabras Claves: Palabras: DIFFUSION APPROXIMATION DIFFUSION APPROXIMATION, Palabras: INTEGRAL REPRESENTATIONS INTEGRAL REPRESENTATIONS, Palabras: TANDEN QUEUES TANDEN QUEUES

Resumen
ABSTRACT

ABSTRACT

We consider two tandem queues with exponential servers. Arrivals to the first queue are governed by a general renewal process. If the arrivals were also exponentially distributed, this would be a simple example of a Jackson network. However, the structure of the model is much more complicated for general arrivals. We analyze the joint steady-state queue length distribution for this network, in the heavy traffic limit, where the arrival rate is only slightly less than the service rates. We formulate and solve the boundary value problem for the diffusion approximation to this model. We obtain simple integral representations for the (asymptotic) steady-state queue length distribution.

 

Registro 2 de 2, Base de información BIBCYT
Publicación seriada
Referencias AnalíticasReferencias Analíticas
Autor: Knessl, Charles ; Tier, Charles
Título: Two tandem Queues With General Renewal Input II: Asymptotic Expansion for the Diffusion Model
Páginas/Colación: pp. 1960-1997
Url: Ir a http://siamdl.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=SMJMAP000059000006001960000001&idtype=cvips&gifs=Yeshttp://siamdl.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=SMJMAP000059000006001960000001&idtype=cvips&gifs=Yes
SIAM Journal on Applied Mathematics Vol. 59, no. 6 Aug./Oct. 1999
Información de existenciaInformación de existencia

Palabras Claves: Palabras: ASYMPTOTIC EXPANSIONS ASYMPTOTIC EXPANSIONS, Palabras: DIFFUSION APPROXIMATION DIFFUSION APPROXIMATION, Palabras: TANDEN QUEUES TANDEN QUEUES

Resumen
ABSTRACT

RESUMEN

In Part I we formulated and solved a diffusion model for two tandem queues with exponential servers and general renewal arrivals. We thus obtained the heavy traffic diffusion approximation to the steady state joint queue length distribution for this network. Here we study asymptotic and numerical properties of the diffusion approximation. In particular, analytical expressions are obtained for the tail probabilities. Both the joint distribution of the two queues and the marginal distribution of the second queue are considered. We also give numerical illustrations of how this marginal is affected by changes in the arrival and service processes.

 

 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

UCLA - Biblioteca de Ciencias y Tecnologia Felix Morales Bueno

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