Asymptotic analysis of the closed queueing structure with time-dependent service parameters and single-type messages
| Autor: | Tatiana Rusilko, Andrey Pankov, Mikhail Matalytski |
|---|---|
| Rok vydání: | 2013 |
| Předmět: |
Discrete mathematics
Queueing theory Asymptotic analysis Differential equation Computer science lcsh:T57-57.97 Ordinary differential equation lcsh:Applied mathematics. Quantitative methods Layered queueing network Structure (category theory) Stochastic matrix Applied mathematics Constant (mathematics) |
| Zdroj: | Journal of Applied Mathematics and Computational Mechanics, Vol 12, Iss 2, Pp 73-80 (2013) |
| ISSN: | 2353-0588 2299-9965 |
| DOI: | 10.17512/jamcm.2013.2.09 |
| Popis: | A closed queueing structure is considered in the paper; the number of single-type messages is not constant and depends on time. The route of messages is given by an arbi- trary stochastic matrix of transition probabilities. An asymptotic analysis of this structure in case of large number of service requests is conducted. The service parameters of each queueing system of this structure, as well as the probability of messages transition between systems, depend on time. A system of ordinary differential equations to calculate the aver- age relative number of messages in each queueing system, depending on the time, was obtained. |
| Databáze: | OpenAIRE |
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