Traffic Offloading in Multicast Device-to-Device Cellular Networks: A Combinatorial Auction-Based Matching Algorithm

. 2020 Feb 19;20(4):1128. doi: 10.3390/s20041128

Algorithm 3: Pseudo Code for the Auction-based Matching Algorithm.

while $β_{1} (c) \neq 0$ , $β_{1} (m) \neq 0$ do
for each $δ_{c, m} = 1$ do
if $S_{e N B}$ $\geq$ $s_{m}$ , then
Calculate the weights of each multicast D2D groups
if $\sum_{i = 1}^{I} \sum_{c = 1}^{C} \sum_{m = 1}^{M} G > 0$ then
Calculate $G_{w}$
Formulate the weighted performance gain optimization problem S3. $\max \sum_{i = 1}^{I} \sum_{c = 1}^{C} \sum_{m = 1}^{M} G_{w}$
Calculate $S_{e f f}$
else
$\sum_{i = 1}^{I} \sum_{c = 1}^{C} \sum_{m = 1}^{M} G \leq 0$
end if
else
$S_{e N B}$ $<$ $s_{m}$
end if
$δ_{c, m} = 0$
end for
end while