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- W2799684588 abstract "Recently, Yin et al. [Eur. Phys. J. B 49, 205 (2006)] introduced an efficient small-world network traffic model using preferential next-nearest neighbor routing strategy with the so-called path iteration avoidance (PIA) rule to study the jamming transition of internet. Here we study their model without PIA rule by a mean-field analysis which carefully divides the message packets into two types. Then, we argue that our mean-field analysis is also applicable in the presence of PIA rule in the limit of a large number of nodes in the network. Our analysis gives an explicit expression of the critical packet injection rate $R_c$ as a function of a bias parameter of the routing strategy $alpha$ in their model with or without PIA rule. In particular, we predict a sudden change in $R_c$ at a certain value of $alpha$. These predictions agree quite well with our extensive computer simulations." @default.
- W2799684588 created "2018-05-17" @default.
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- W2799684588 date "2009-06-04" @default.
- W2799684588 modified "2023-09-23" @default.
- W2799684588 title "On The Nature Of Phase Transition Of A Preferential Next-Nearest Neighbor Routing Traffic Model On Barabasi-Albert Networks" @default.
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