Name
Abstract | ||
|---|---|---|
In this paper we consider the dynamics of large-scale queueing systems with an infinite number of servers. We assume that a Poisson input flow of requests with intensity N lambda. We suppose that each incoming request selects two any servers randomly and a next step of an algorithm includes sending this request to the server with the shorter queue instantly. A share u(k)(t) of the servers that have the queues lengths with not less than k can be described using an system of ordinary differential equations of infinite order. We investigate this system of ordinary differential equations of infinite order with a small real parameter. A small real parameter allows us to describe the processes of rapid changes in large-scale queueing systems. We use the simulation methods for this large-scale queueing systems analysis. |
Year | DOI | Venue |
|---|---|---|
2018 | 10.7148/2018-0485 | 32ND EUROPEAN CONFERENCE ON MODELLING AND SIMULATION (ECMS 2018) |
Keywords | Field | DocType |
Countable Markov chains, Large-scale queueing systems, Dobrushin approach, Singular perturbed systems of differential equations, Differential equations of infinite order, Small parameter | Computer science,Queueing theory,Distributed computing | Conference |
Citations | PageRank | References |
0 | 0.34 | 0 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Sergey A. Vasilyev | 1 | 0 | 0.68 |
| Galina Tsareva | 2 | 0 | 0.34 |