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Table 2 Relationship between \(\mathcal {C}\) and ψ

From: Geographical model-derived grid-based directional routing for massively dense WSNs

Optimization objective \(\mathcal {C}\) and ψ
Route length \(\mathcal {C} = \text {constant}\)
Number of hops \(\mathcal {C} \propto \sqrt {\psi }\)
Throughput \(\mathcal {C} \propto 1/\sqrt {\psi }\)
Transmission energy \(\mathcal {C} \propto 1/\psi ^{\alpha _{\textit {rf}}/2}\)