The problem of multi-cell scheduling in presence of
inter-cell interference is known to be an NP-hard combinatorial
problem [6]. In [7], the authors showed that the solution
can be achieved using dual decomposition approach for
multi-cell resource allocation in OFDMA system when the
system satises the time-sharing condition. However, the
outcome solution requires centralized management and it is
still iterative and complex particularly in presence of multiple
strong interferers which is generally the case for small cell
networks.