Multiserver Queueing System with Non-homogeneous Customers and Sectorized Memory Space
| Autor: | Oleg Tikhonenko, Marcin Ziółkowski |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
0209 industrial biotechnology
Mathematical optimization Exponential distribution Computer science Service time Volume (computing) 020206 networking & telecommunications Poisson process 02 engineering and technology Queueing system Space (commercial competition) symbols.namesake 020901 industrial engineering & automation Distribution (mathematics) Non homogeneous 0202 electrical engineering electronic engineering information engineering symbols |
| Zdroj: | Computer Networks ISBN: 9783319924588 CN |
| DOI: | 10.1007/978-3-319-92459-5_22 |
| Popis: | In the present paper, we investigate a multiserver queueing system with non-homogeneous customers. As non-homogenity, we mean that each customer is characterized by some random l-dimensional volume vector. The arriving customers appear according to a stationary Poisson process. Service time of a customer does not depend on his volume vector and has an exponential distribution. Memory space is composed of l limited parts in accordance with customers volume vectors components. For this system, the steady-state distribution of the number of customers present in the system and loss probability are determined. An analysis of some special cases and some numerical examples are attached as well. |
| Databáze: | OpenAIRE |
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