Abstract | ||
---|---|---|
The paper deals with the problem of existence and construction of limiting characteristics for time-inhomogeneous birth and death processes which is important for queueing applications. For this purpose we calculate the limiting characteristics for the process via the construction of two-sided uniform in time truncation bounds. We consider the M-t\M-t\S queueing model and obtain uniform approximation bounds of two-sided truncations. A numerical example is considered. Our approach to truncations of the state space can be used in modeling information flows related to high-performance computing. |
Year | Venue | Keywords |
---|---|---|
2017 | PROCEEDINGS - 31ST EUROPEAN CONFERENCE ON MODELLING AND SIMULATION ECMS 2017 | Inhomogeneous birth-death processes, queueing models, two-sided uniform approximation bounds |
DocType | Citations | PageRank |
Conference | 0 | 0.34 |
References | Authors | |
0 | 9 |
Name | Order | Citations | PageRank |
---|---|---|---|
Yacov Satin | 1 | 9 | 5.24 |
Anna Korotysheva | 2 | 11 | 5.32 |
Galina Shilova | 3 | 0 | 0.34 |
Alexander Sipin | 4 | 0 | 0.68 |
Elena Fokicheva | 5 | 0 | 0.34 |
Ksenia Kiseleva | 6 | 0 | 1.35 |
Alexander I. Zeifman | 7 | 44 | 17.93 |
Victor Korolev | 8 | 16 | 11.26 |
Sergey Shorgin | 9 | 19 | 12.04 |