G-2026-03
Numerical evaluation of distributed wireless networks at scale
et
référence BibTeXLarge-scale distributed wireless networks offer infrastructure-free and cost-effective
connectivity. Recent theoretical work has shown that scalability critically depends on
underlying user interaction patterns; however, a fundamental gap remains between
asymptotic feasibility results and concrete, numerically grounded performance metrics.
This paper presents a comprehensive numerical evaluation of very large-scale
distributed wireless networks by decomposing the cross-layer P2P capacity analysis
into two tightly coupled components: the expected hop count \(\mathbf{E}(h)\) and the
effective single-hop transmission capacity \(\mathbf{E}(C_{\mathrm{eff}})\).
Leveraging network
symmetry and geometric partitioning, we transform the discrete hop-count problem into a
continuous formulation and derive a closed-form integral upper bound on \(\mathbf{E}(h)\)
using convex optimization. This enables efficient numerical evaluation even for networks
with millions of nodes and reveals that, despite network diameters spanning hundreds of
kilometers, typical communication paths traverse only a small fraction of this extent
under real-world interaction patterns. To quantify \(\mathbf{E}(C_{\mathrm{eff}})\), we develop a cross-layer wireless model with
full spatial reuse and derive a closed-form upper bound on aggregate interference, allowing
optimization of the resource-sharing parameter that maximizes per-node throughput.
Combining both components yields explicit numerical bounds on link-level capacity,
end-to-end P2P throughput, delay, spectral efficiency, and energy consumption. The results demonstrate that large-scale distributed networks can sustain substantial
per-user data volumes while operating with limited spectrum and ultra-low transmit power.
Short-range links enable aggressive spatial reuse and high energy efficiency, and naturally
align with millimeter-wave technologies that provide large bandwidths. Overall, this work
shows that large-scale distributed wireless networks are not only theoretically scalable
but also practically competitive with infrastructure-based systems.
Paru en janvier 2026 , 48 pages
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