The opportunistic fog radio access network (OF-RAN) is a promising RAN architecture proposed for next-generation cellular networks. OF-RAN extends the current fog RAN (F-RAN) architecture by introducing virtual fog access points (v-FAPs) that can be formed on-demand by a set of resourceful end-user devices available in an opportunistic manner. These devices in the v-FAP collaboratively serve as the service nodes to a resource-limited local client by performing resource-demanding processing tasks on its behalf. Hence, appropriately assigning the client task to the service nodes of the v-FAP, i.e., task-to-node assignment (TNA), is a fundamental problem in OF-RAN. This paper formulates and solves the TNA as a multi-objective optimization problem, with the goals of minimizing energy and latency of the v-FAP, while maximizing fairness (or load balancing) amongst its service nodes by minimizing their maximum load.

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