An M/M/1 driven fluid queue - Continued fraction approach
| Autor: | Parthasarathy, P.R., Vijayashree, K.V., Lenin, R.B. |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2002 |
| Zdroj: | IndraStra Global. |
| ISSN: | 2381-3652 |
| Popis: | This paper presents complete solutions of the stationary distributions of buffer occupancy and buffer content of a fluid queue driven by an M/M/1 queue. We assume a general boundary condition when compared to the model discussed in Virtamo and Norros [Queueing Systems 16 (1994) 373-386] and Adan and Resing [Queueing Systems 22 (1996) 171-174]. We achieve the required solutions by transforming the underlying system of differential equations using Laplace transforms to a system of difference equations leading to a continued fraction. This continued fraction helps us to find complete solutions. We also obtain the buffer content distribution for this fluid model using the method of Sericola and Tuffin [Queueing Systems 31 (1999) 253-264]. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|