Analysis of the scope of cooperative bandwidth sharing among mobile routers in vehicular networks

EURASIP Journal on Wireless Communications and Networking

Table 2 Problem formulation of the optimal bandwidth sharing among mobile nodes

$\begin{array}{c} \max_{x \geq 0} U (x) = & \sum_{i \in ℋ, j \in R} U (w_{1} x_{ij} - w_{2} C_{ij} (x_{ij})) \end{array}$	(3)
subject to:
$\begin{align} 0 \leq \sum_{i \in ℋ} x_{ij} \leq x_{j, max} & , & \forall j \in R \end{align}$	(4)
$\begin{align} \sum_{j \in R} x_{ij} \leq c_{i} & , & \forall i \in ℋ \end{align}$	(5)
$\begin{align} \sum_{i : j \in P (l)} x_{ij} \leq w & , & \forall l \in ℒ \end{align}$	(6)
$\begin{align} x_{ij} \geq 0 & , & \forall (i, j) \in ℋ \times R \end{align}$	(7)