Optimizing the Number of Fog Nodes for Cloud-Fog-Thing Networks
Eren Balevi, Richard D. Gitlin

TL;DR
This paper determines the optimal number of fog nodes in cloud-fog-thing networks to maximize data rate and minimize delay, considering channel conditions and network density, with significant performance improvements.
Contribution
It introduces a method to find the optimal fog node count based on channel conditions and network parameters, enhancing network performance.
Findings
Optimal fog node number varies with channel conditions.
Data rate increases nearly tenfold with optimization.
Optimal fog nodes decrease with higher path loss exponents.
Abstract
Going from theory to practice in fog networking raises the question of the optimum number of fog nodes that will be upgraded from the existing nodes. This paper finds the optimum number of fog nodes for a given total number of ordinary nodes residing in the area of interest for different channel conditions. Determining the optimum number of fog nodes is quite beneficial, because it can strongly affect the SINR, and thus the average data rate and transmission delay. The numerical results indicate that the average data rate increases nearly an order of magnitude for an optimized number of fog nodes in case of shadowing and fading. It is further shown that the optimum number of fog nodes does not increase in direct proportion to the increase in the total number of nodes. Furthermore, the optimum number of fog nodes decreases when channels have high path loss exponents. These findings…
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