  This work aims to present a joint resource allocation method for a
fog-assisted network wherein IoT wireless devices simultaneously offload their
tasks to a serving fog node. The main contribution is to formulate joint
minimization of service latency and energy consumption objectives subject to
both radio and computing constraints. Moreover, unlike previous works that set
a fixed value to the circuit power dissipated to operate a wireless device,
practical models are considered. To derive the Pareto boundary between two
conflicting objectives we consider, Tchebyshev theorem is used for each
wireless device. The competition among devices is modeled using the cooperative
Nash bargaining solution and its unique cooperative Nash equilibrium (NE) is
computed based on block coordinate descent algorithm. Numerical results
obtained using realistic models are presented to corroborate the effectiveness
of the proposed algorithm.
