Abstract | ||
---|---|---|
We consider a general Markovian queueing model with possible catastrophes and obtain new and sharp bounds on the rate of convergence. Some special classes of such models are studied in details, namely, (a) the queueing system with S servers, batch arrivals and possible catastrophes and (b) the queueing model with "attracted" customers and possible catastrophes. A numerical example illustrates the calculations. Our approach 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, bounds on the rate of convergence |
DocType | Citations | PageRank |
Conference | 0 | 0.34 |
References | Authors | |
0 | 6 |
Name | Order | Citations | PageRank |
---|---|---|---|
Alexander I. Zeifman | 1 | 44 | 17.93 |
Anna Korotysheva | 2 | 11 | 5.32 |
Yacov Satin | 3 | 9 | 5.24 |
Ksenia Kiseleva | 4 | 0 | 1.35 |
Victor Korolev | 5 | 16 | 11.26 |
Sergey Shorgin | 6 | 19 | 12.04 |