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In the literature, scaling laws for wireless mobile networks have beencharacterized under various models of node mobility and several assumptions onhow communication occurs between nodes. To improve the realism in the analysisof scaling laws, we propose a new analytical framework. The framework is thefirst to consider a L\'{e}vy flight mobility pattern, which is known to closelymimic human mobility patterns. Also, this is the first work that allows nodesto communicate while being mobile. Under this framework, delays ($\bar{D}$) toobtain various levels of per-node throughput $(\lambda)$ for L\'evy flight aresuggested as $\bar{D}(\lambda) = O(\sqrt{\min (n^{1+\alpha} \lambda, n^2)})$,where L\'evy flight is a random walk of a power-law flight distribution with anexponent $\alpha \in (0,2]$. The same framework presents a new tighter tradeoff$\bar{D}(\lambda) = O(\sqrt{\max (1,n\lambda^3)})$ for \textit{i.i.d.}mobility, whose delays are lower than existing results for the same levels ofper-node throughput.

On the Generalized Delay-Capacity Tradeoff of Mobile Networks with L\'evy Flight Mobility