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• W2808717829 abstract "We investigate by numerical simulation and finite-size analysis the impact of long-range shortcuts on a spatially embedded transportation network. Our networks are built from two-dimensional ($d=2$) square lattices to be improved by the addition of long-range shortcuts added with probability $P(r_{ij})sim r_{ij}^{-alpha}$ [J. M. Kleinberg, Nature 406, 845 (2000)]. Considering those improved networks, we performed numerical simulation of multiple discrete package navigation and found a limit for the amount of packages flowing through the network. Such limit is characterized by a critical probability of creating packages $p_{c}$, where above this value a transition to a congested state occurs. Moreover, $p_{c}$ is found to follow a power-law, $p_{c}sim L^{-gamma}$, where $L$ is the network size. Our results indicate the presence of an optimal value of $alpha_{rm min}approx1.7$, where the parameter $gamma$ reaches its minimum value and the networks are more resilient to congestion for larger system sizes." @default.
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• W2808717829 date "2018-09-17" @default.
• W2808717829 modified "2023-09-25" @default.
• W2808717829 title "Decentralized navigation of multiple packages on transportation networks" @default.
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• W2808717829 doi "https://doi.org/10.1103/physreve.98.032306" @default.
• W2808717829 hasPublicationYear "2018" @default.
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