Name
Abstract | ||
|---|---|---|
The analytical performance model of networks with scale free structure is studied in this paper. The key issue is the mathematical
relation between the performance measure and the network structure. A stochastic model of closed queuing network (SQN) within
which customer routing between queues may depend on the local information of complex network is presented. In the model, the
complex network is decomposed into sub-networks with scale-free characteristics called SN. Given the rule of preferential
attachment, the routing probabilities allowed are formulated by the rational functions of the degrees of various neighbors
which reside within SN. It is proved that the introduction of these functions will preserve the product form of the equilibrium
state distribution. The product form yields the convolution expression of normalizing constant accordingly. A recursive algorithm
is adopted to solve the expression effectively. Therefore, the performance measures are presented based on the exact solution
of the normalizing constant. Finally, the model is applied to the design and evaluation of communication infrastructure of
real large-scale network deployed on Internet. |
Year | DOI | Venue |
|---|---|---|
2012 | 10.1007/s11227-010-0482-3 | The Journal of Supercomputing |
Keywords | Field | DocType |
Closed queuing network,Complex network,Performance evaluation,Product form | Network formation,Topology,Convolution,Computer science,Network simulation,Stochastic modelling,Complex network,Normalizing constant,Rational function,Preferential attachment,Distributed computing | Journal |
Volume | Issue | ISSN |
59 | 2 | 0920-8542 |
Citations | PageRank | References |
0 | 0.34 | 29 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Dan Liu | 1 | 25 | 8.89 |
| Yuanda Cao | 2 | 10 | 4.30 |