Introduction:

this study focuses on determining the conditions that guarantee scalability in a hierarchical architecture based on the resources available in the different layers of the network.

Methods:

a model based on the truncated geometric distribution that allows the characterization of the available resources in an ad hoc network was proposed. From this characterization, the concept of growth factor φ was introduced as a constant value that represents the appropriate relationship from among the available resources in two successive layers of the network to ensure scalability. The ns-3 software was used to develop simulation scenarios that were explored to develop the estimation process of the growth factor φ in the ad hoc networks of two- and three-layer hierarchical architectures.

Results:

The results showed that the growth of resources among the layers in an ad hoc network can be expressed in a linear model. Moreover, a relation was found between the estimated value of j and the golden ratio as a way to inspire the design of artificial systems based on attributes that can be found in nature.

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